{ "Contributors": [ "Chirag Vartak" ], "Source": [ "mathmatics_dataset" ], "URL": [ "https://github.com/deepmind/mathematics_dataset" ], "Categories": [ "Question Answering" ], "Reasoning": [ "Numerical Reasoning", "Quantitative Reasoning", "Mathematics" ], "Definition": [ "Given a simple high-school level math question, you are required to solve it and provide the final answer. The final answer is always a single number. These questions can range from a variety of topics like simple arithmetic, solving equations, converting a quantity from one unit to another, finding remainders/GCD/LCM, finding probabilities etc. Each question has only one correct answer. This answer can be a positive or negative integer, a fraction or a decimal number. If the answer is a negative number use the hyphen (e.g. -42) symbol for the minus sign. For decimal numbers, do not add extra zeros after the decimal point. For fractional numbers, separate the numerator and denominator using a forward slash (e.g. 3/25)." ], "Input_language": [ "English" ], "Output_language": [ "English" ], "Instruction_language": [ "English" ], "Domains": [ "Mathematics" ], "Positive Examples": [ { "input": "Let y = -74 - -79. Solve 0 = -y*q - 13 + 3 for q.", "output": "-2", "explanation": "Solving the two equations, we find that the value of q is -2. The solution can be obtained by simply solving the equations one after another using substitution." }, { "input": "Work out 29.8 + -0.18.", "output": "29.62", "explanation": "This is a simple addition involving a negative number. The answer is 29.62. This is basic arithmetic and the standard conventions of the plus and minus operations are observed." }, { "input": "How many nanometers are there in 610.1077 millimeters", "output": "610107700", "explanation": "The conversion from mm to nm yields the answer 610107700. This conversion is obtained by multiplying the mm value by one million." }, { "input": "Four letters picked without replacement from bboobleoeewobw. What is prob of picking 3 o and 1 e?", "output": "12/1001", "explanation": "Since the probability calculated can be more accurately expressed as the fraction 12/1001, that is the answer. The answer is not converted to a decimal number unnecessarily." } ], "Negative Examples": [ { "input": "Let y = -48 - -65. Solve -4*o = 5 - y for o.", "output": "0", "explanation": "The solution for o for the given simultaneous equations is 3, not zero. Hence, this is an incorrect answer for the question asked." }, { "input": "What is the distance between 0.055 and 21.35?", "output": "21.405", "explanation": "The difference is asked, and not the sum. Hence the correct answer is 21.295. The answer is a precise, terminating decimal." }, { "input": "What is 3/5 of a millennium in decades?", "output": "60", "explanation": "3/5 of a millenium is 600 years, which is 60 decades. This conversion can be done by knowing that a millennium consists of 1000 years and one decade is 10 years." }, { "input": "Calculate prob of picking 1 c and 1 d when two letters picked without replacement from exhdycxy.", "output": "1/28", "explanation": "There is only a single c and d in the string, and hence only one way to pick it from the total number of ways. The probability, after calculation comes to be 1/28." } ], "Instances": [ { "id": "task835-0944a0c2fb5e40e49ce9f6dbd916ffaa", "input": "Let x be (3 - 1)/(6/9). Suppose o = 2, -h - 13 = -5*o - 5. Solve -x*l = 2*r - 14, -2*r - h*l = -3*r for r.", "output": [ "4" ] }, { "id": "task835-925d1f16c52b4da1a11a5456a4c40f41", "input": "What is 37/2 of a century in months?", "output": [ "22200" ] }, { "id": "task835-2665a7617d5a48e6ab0b41f8cbf7dd39", "input": "What is the tens digit of (-4)/22 + 3633/77?", "output": [ "4" ] }, { "id": "task835-7528258f413b442fa0cb6b7eb9db0580", "input": "Suppose 4*i - 38 = -b, -3*b + 19 = 2*i - 65. Calculate the remainder when b is divided by 7.", "output": [ "5" ] }, { "id": "task835-2e98f4dc6bf3445ca3c4c7fec52f9850", "input": "Suppose 5 = -3*r - 4. Let b(f) = 3*f**2 + 2*f - 3. Let c be b(r). Calculate the highest common divisor of c and 6.", "output": [ "6" ] }, { "id": "task835-fc3bf573f7d7432faf1318425ff36887", "input": "Let b = -5 - -3. Find the common denominator of 0 + ((-8)/(-3))/1 and ((-6)/(-4) + b)*23.", "output": [ "6" ] }, { "id": "task835-2285f63f19a24d5c836b3d47c99d98ce", "input": "Solve 20*j + 14*j = -204 for j.", "output": [ "-6" ] }, { "id": "task835-66b6baffdefc4c2195e86dfde065ad87", "input": "Let k = -381 - -535. What is the greatest common divisor of k and 14?", "output": [ "14" ] }, { "id": "task835-3f00e15c68794444a94e47db4819aa16", "input": "How many millilitres are there in three tenths of a litre?", "output": [ "300" ] }, { "id": "task835-abb1538717fd4c7ab24a9301772c8231", "input": "Four letters picked without replacement from qfqyqqcyiicqf. What is prob of sequence icyf?", "output": [ "2/2145" ] }, { "id": "task835-5b72a46bf1604d0f90cff00c572d8b24", "input": "Solve 17 = 7*d + 31 for d.", "output": [ "-2" ] }, { "id": "task835-141dcc9ecee8443cb16d00591b1865ca", "input": "Let f be (-16)/28*14/4. What is the common denominator of 143/6 and (f/(-5))/(16/(-122))?", "output": [ "60" ] }, { "id": "task835-ba037d6a69dc44608f47864a897cce12", "input": "Let l(b) = -2*b - 6. Let y be l(-6). Let j = 10 - y. What is the remainder when (-224)/(-22) + 8/(-44) is divided by j?", "output": [ "2" ] }, { "id": "task835-7c67a734158c4534a92adc9b314d9aa9", "input": "Calculate prob of picking 2 n and 2 o when four letters picked without replacement from {o: 17, n: 3}.", "output": [ "8/95" ] }, { "id": "task835-45fc754c0fcf4284bd710fdcc5a6cd45", "input": "Let h be ((-88)/(-77))/(4/14 - 0). Solve 2*z = h*q + 5*z - 6, 0 = 4*q - 4*z - 20 for q.", "output": [ "3" ] }, { "id": "task835-eff49c9d14e64d21b8f767c314f50f98", "input": "Calculate prob of sequence bsb when three letters picked without replacement from {b: 5, x: 1, s: 5}.", "output": [ "10/99" ] }, { "id": "task835-e748a4fbcce849cbbd15307d44773e49", "input": "Suppose 4*x = 2*g + 14, 30 = g + 4*x + 7. Let r(n) = n - 4. Let z be r(g). What is the units digit of 44/2*z/(-2)?", "output": [ "1" ] }, { "id": "task835-0fc39d0e1814439dbd01873ae5d8b0d0", "input": "Calculate prob of picking 1 m, 1 n, and 1 a when three letters picked without replacement from {g: 1, u: 1, a: 1, m: 5, n: 3}.", "output": [ "1/11" ] }, { "id": "task835-3ab6d30f41bb4562868f0f42f98904e2", "input": "What comes next: 11, 16, 31, 62, 115, 196?", "output": [ "311" ] }, { "id": "task835-b77ab36c3bdf43bfb44d7558302fa4ff", "input": "Let h be (-32)/(-24)*12/(-2). What is the remainder when 55 is divided by h + 6 - 16*-1?", "output": [ "13" ] }, { "id": "task835-4ab92e4258144a6bb1f9bd50f95dafe6", "input": "Solve -5 = 5*q - 0 for q.", "output": [ "-1" ] }, { "id": "task835-e20a806c65d8409bbc88c2814f3de811", "input": "Calculate (-142)/497 + (-122)/14.", "output": [ "-9" ] }, { "id": "task835-170461e4576744239aff5668cb8e85fc", "input": "What is 39570 to the power of 1/10, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-4d0f5f1436574c9184447875751a3399", "input": "Suppose 5*a - 4*k - 63 = 0, -7*a + 3*k = -11*a + 69. Calculate the greatest common divisor of 15 and a.", "output": [ "15" ] }, { "id": "task835-0e4f1b47914d4c9f8e9905c694f3326c", "input": "Calculate prob of picking 2 i, 1 e, and 1 s when four letters picked without replacement from siiiisesszzsisisi.", "output": [ "21/340" ] }, { "id": "task835-c6fc033f694a493d83c63ec5ec2e5406", "input": "-913+3", "output": [ "-910" ] }, { "id": "task835-bc3b201fadf44fe2b173fbc07483df8b", "input": "-18376 divided by -2297", "output": [ "8" ] }, { "id": "task835-233521bafb3848708cb852a72ec44369", "input": "Let u = 10 + -9. Let a be u/2 - (-44)/8. What is the highest common factor of a and 2?", "output": [ "2" ] }, { "id": "task835-b176e35e1ac5499896b65315c21c1af6", "input": "Suppose -c + 6 = 2. Suppose 0 = 5*k + 3*t + 4, 4*k + 8 = -0*t - c*t. What is the units digit of k?", "output": [ "1" ] }, { "id": "task835-b25da9ef6dda4a59b7b33a951c19ff67", "input": "Four letters picked without replacement from mhohmmmommhnohoomh. Give prob of picking 4 h.", "output": [ "1/612" ] }, { "id": "task835-a30c533b61964b079c18296ba6729483", "input": "What is the next term in 911, 1817, 2711, 3587, 4439, 5261, 6047?", "output": [ "6791" ] }, { "id": "task835-63673121d2294eafaf8222de5bc794f5", "input": "Two letters picked without replacement from vvvv. Give prob of picking 2 v.", "output": [ "1" ] }, { "id": "task835-54d36f74d0d2404b8dabd8de0267bc21", "input": "What is prob of sequence jijr when four letters picked without replacement from {r: 1, i: 1, j: 2}?", "output": [ "1/12" ] }, { "id": "task835-8210ec01b3c44393b44eb3a5595262e5", "input": "What is 8 divided by -5?", "output": [ "-8/5" ] }, { "id": "task835-148a475aaae04d78a1ea870bc07e396d", "input": "Calculate prob of sequence mmnn when four letters picked without replacement from nznnnznnzmmnzzn.", "output": [ "2/585" ] }, { "id": "task835-0b389a1ecffa41b2aa1d4bdeb006af88", "input": "What is prob of sequence ltr when three letters picked without replacement from lijjjotjjorjjl?", "output": [ "1/1092" ] }, { "id": "task835-aaf3dac262df418bb62d98e2f6f3fd61", "input": "Let g = -63 - -192. What is the tens digit of g?", "output": [ "2" ] }, { "id": "task835-d65045ce591d4e11ba0731740ba4ebf6", "input": "Convert 13.87146 months to millennia.", "output": [ "0.001155955" ] }, { "id": "task835-82d56d2e45ee465aafee1b4837eeeb2a", "input": "Four letters picked without replacement from {s: 1, u: 1, v: 1, o: 2, f: 2, j: 1}. Give prob of picking 1 v, 1 u, 1 j, and 1 s.", "output": [ "1/70" ] }, { "id": "task835-fd265cbed95f46c49e3a9a1b875460d4", "input": "Two letters picked without replacement from kip. Give prob of picking 1 i and 1 k.", "output": [ "1/3" ] }, { "id": "task835-90a9d682897145fe89dd630a82cc401a", "input": "What is 25656.66 kilograms in micrograms?", "output": [ "25656660000000" ] }, { "id": "task835-16b9e7a989604960864b763713695f74", "input": "Two letters picked without replacement from okkz. Give prob of sequence kk.", "output": [ "1/6" ] }, { "id": "task835-67de7bc25be5479889a38b6b29ea8fe5", "input": "What is the next term in -31, -86, -177, -310, -491, -726, -1021, -1382?", "output": [ "-1815" ] }, { "id": "task835-0e68259a6c4949d4935cac6bbd1729f8", "input": "Solve 64*j + 70 = 50*j for j.", "output": [ "-5" ] }, { "id": "task835-463f55e6c5c142a5a49e6a1aa070878a", "input": "-5*1", "output": [ "-5" ] }, { "id": "task835-e3f4287ab64c4be1b0ac7386da41dc55", "input": "Suppose -u = -7 + 1. What is the remainder when 17 is divided by u?", "output": [ "5" ] }, { "id": "task835-42bed22f5f0745f08c508fdfd7eb3963", "input": "What is 11.01608 years in months?", "output": [ "132.19296" ] }, { "id": "task835-e7b662bf28044772b26e89d6816dcabe", "input": "Let l = 10 + 12. Suppose -2*h + 4*s - 8 = 2*h, 3*h + 4*s = l. Solve 0 = -h*r - r + 15 for r.", "output": [ "5" ] }, { "id": "task835-66657cc8bfa941c5bc99d565002132bc", "input": "How many nanograms are there in 85589.3 milligrams?", "output": [ "85589300000" ] }, { "id": "task835-4081534229f8494e97e29a29eba99a59", "input": "58/(-30) + 15/25", "output": [ "-4/3" ] }, { "id": "task835-38f00b145dcb49e9abf66729281422ac", "input": "What comes next: 1597, 3212, 4825, 6436?", "output": [ "8045" ] }, { "id": "task835-c1bc59a0cf2b464399c525179d6f6ce4", "input": "What is prob of sequence bg when two letters picked without replacement from bbg?", "output": [ "1/3" ] }, { "id": "task835-0fa0a26142a84436a2965ce59286d2d6", "input": "What is 12/(-96)*2*1?", "output": [ "-1/4" ] }, { "id": "task835-824a2f76c499413787960f87dbe01ef3", "input": "Let n = 74 - 56. Calculate the highest common divisor of 90 and n.", "output": [ "18" ] }, { "id": "task835-7d8a13d952c94c14bec064a3391baf37", "input": "Let n(z) = 30*z**2. What is the lowest common multiple of 15 and n(1)?", "output": [ "30" ] }, { "id": "task835-d4255e1c11af493ba1945c330d0572f8", "input": "How many millilitres are there in 7/4 of a litre?", "output": [ "1750" ] }, { "id": "task835-6e73280e7f504c96b4d08be5e3f75796", "input": "Let b(x) = 4*x - 5. Let l(s) = 1. Let r(z) = b(z) + 6*l(z). Let n be r(1). Suppose 0 = -3*i + 2*w + 22, 2*w - 36 = -n*i + 5*w. Solve 0 = 2*f + i - 4 for f.", "output": [ "-1" ] }, { "id": "task835-6985598ba07a4dd4b12a321f9763e32a", "input": "Suppose f - 16 = -3*w, -4 = 2*f - 4*w + 4. Suppose f*u = c + 2*c + 1, 4*u - 5 = -c. Let l = 1 + 0. What is the remainder when c is divided by l?", "output": [ "0" ] }, { "id": "task835-01f61b2259674befa69c3265243db218", "input": "Solve 2*n + 15 = 3*j, 0 = -39*j + 41*j - 4*n - 10 for j.", "output": [ "5" ] }, { "id": "task835-c5d7ce7b465146e7b9f3ca718cf518d8", "input": "What is prob of sequence nnn when three letters picked without replacement from {p: 6, n: 4}?", "output": [ "1/30" ] }, { "id": "task835-d4074f3eaa3f42b699c1cbf0d6be690d", "input": "Solve 26*z = -48*z + 518 for z.", "output": [ "7" ] }, { "id": "task835-51a7ab67342b48b6acbd7d1e64ed7593", "input": "Work out 2 * -14.7.", "output": [ "-29.4" ] }, { "id": "task835-d2c3a1bbf4d4492f8ad46af0ef8033f0", "input": "Let d = -20 - -70. Let n = -24 + d. What is the tens digit of n?", "output": [ "2" ] }, { "id": "task835-a64765dd4a6e4f32aeab929224546bc1", "input": "In base 13, what is -172 - 4?", "output": [ "-176" ] }, { "id": "task835-408175de05594fdea8b3c5700e8a2481", "input": "Three letters picked without replacement from {s: 5, f: 4, l: 1}. What is prob of picking 2 f and 1 l?", "output": [ "1/20" ] }, { "id": "task835-5a969b095ed94d3b93975e1b823f4961", "input": "What is prob of sequence kcv when three letters picked without replacement from kkkckvknnknvkn?", "output": [ "1/156" ] }, { "id": "task835-e8796cb433e94309b59e3e91be826035", "input": "What is the common denominator of -37/22 and (-103)/6 - (0 - 0)?", "output": [ "66" ] }, { "id": "task835-f9a8489df3bb4487bc8c5d5cfd852154", "input": "Convert 54.15662 centimeters to kilometers.", "output": [ "0.0005415662" ] }, { "id": "task835-3782d10df02b40028f01947ef70dbbf4", "input": "Suppose -5*s - 3 - 2 = 0. Let f = 6 + s. Solve -f*j = -4*b + 1 + 1, -5*j + 5*b = 5 for j.", "output": [ "2" ] }, { "id": "task835-f7ddc5067a9b408a8661ef12fa4be670", "input": "(-4 - 0) + 0 + 10 + -6", "output": [ "0" ] }, { "id": "task835-23f58c43ce304be5aa5a10bae7aee8c5", "input": "What is (-265)/477*12/(-40)?", "output": [ "1/6" ] }, { "id": "task835-7dcaf1e761bd448f824ffa82a4923c8a", "input": "Let g = 6 + -1. Suppose -3*r + g*r = 22. What is the highest common divisor of r and 1?", "output": [ "1" ] }, { "id": "task835-7caea4194a7e4ee59edbb0789344a301", "input": "Solve -2*s + 16 = -5*w, 4*s - 5*w = 3 + 19 for s.", "output": [ "3" ] }, { "id": "task835-0b1eee88dd264ff5b09ba0be49b29f91", "input": "Three letters picked without replacement from rnhhrhuuiu. Give prob of sequence hru.", "output": [ "1/40" ] }, { "id": "task835-649386c15edb4d40b54ca18147c51079", "input": "Calculate prob of picking 2 l and 1 g when three letters picked without replacement from ldblbrgurgbrlu.", "output": [ "3/182" ] }, { "id": "task835-a25ca05471c44abca4e394c4194f6351", "input": "Four letters picked without replacement from {l: 6, o: 3, f: 1, t: 1, c: 3, z: 1}. What is prob of sequence fccc?", "output": [ "1/5460" ] }, { "id": "task835-32335ee2e2324192916999e9ec3d9ab9", "input": "Calculate prob of sequence ki when two letters picked without replacement from {x: 2, i: 1, k: 11, q: 1}.", "output": [ "11/210" ] }, { "id": "task835-1b5fb6e1fce14583ac59fafe0931c8c1", "input": "Calculate prob of picking 1 l and 2 p when three letters picked without replacement from pllppppppllppplpppp.", "output": [ "455/969" ] }, { "id": "task835-7ffd3ad2136a4e84a3377bc42e04c191", "input": "How many months are there in eight thirds of a year?", "output": [ "32" ] }, { "id": "task835-60183a85d4bb4bd0a39c9d475ea33317", "input": "Solve -2*i = -4*x + 1 - 17, 5*i = 5*x + 20 for i.", "output": [ "0" ] }, { "id": "task835-b3c70905c0394d8e80e5edbdff339b9b", "input": "What is prob of sequence nrzz when four letters picked without replacement from {z: 5, n: 5, r: 2}?", "output": [ "5/297" ] }, { "id": "task835-901fd8def1534b8e878dcebb4e5ca8c6", "input": "Solve -3*h = -11*h + 16 for h.", "output": [ "2" ] }, { "id": "task835-30cac3eca98b408892ba8e54e3600625", "input": "Convert 39.29366ug to kilograms.", "output": [ "0.00000003929366" ] }, { "id": "task835-65c6f4f33f7746af83c0b83caffd1eba", "input": "What is the units digit of ((-7)/14)/((-2)/228)?", "output": [ "7" ] }, { "id": "task835-eae4f146374a4b6d9b98e898489f5a96", "input": "What is next in -15, -28, -45, -66, -91, -120?", "output": [ "-153" ] }, { "id": "task835-d98dfc9b9d1841e0ac627d6b76dac7a5", "input": "What comes next: 158, 174, 208, 266, 354, 478, 644?", "output": [ "858" ] }, { "id": "task835-bcb02940d29542c1ab7103e71c84c370", "input": "What is -7.84 - -0.0455?", "output": [ "-7.7945" ] }, { "id": "task835-2ac9d13eb1024c14b46289f92167566d", "input": "What is 57335 to the power of 1/2, to the nearest integer?", "output": [ "239" ] }, { "id": "task835-65f2453e5e6d4fe5ab8fe6f4b73c77bb", "input": "What is -312 divided by 78?", "output": [ "-4" ] }, { "id": "task835-6914b50523734e0ea97fe6911c849d56", "input": "What is the product of 34 and -0.44?", "output": [ "-14.96" ] }, { "id": "task835-3ac7c54a85cb48ab9d2887a0116c06f2", "input": "What is prob of picking 3 m when three letters picked without replacement from ymyymtmyyymvymmvyymm?", "output": [ "14/285" ] }, { "id": "task835-b1605f0d67e9425fa339c478904eb797", "input": "Calculate prob of sequence vvv when three letters picked without replacement from wvwvvvv.", "output": [ "2/7" ] }, { "id": "task835-6c2f11ec62c0467196327380172d02c0", "input": "Multiply -72.13 and 2.", "output": [ "-144.26" ] }, { "id": "task835-63bcf8f3885d43c6b69b4a8e10587bcb", "input": "Let t be (-12)/54 + 536/(-18). Let c be 4/t - (-274)/30. Solve 3*h + 6 = -c for h.", "output": [ "-5" ] }, { "id": "task835-430a9efe5ca74338be9eaf58ab9a35ca", "input": "Calculate prob of sequence dqd when three letters picked without replacement from fqfuurdttdft.", "output": [ "1/660" ] }, { "id": "task835-3631c603748147949d8e6abf5c0fe1e6", "input": "Suppose 0 = 5*p + 33317 - 166867. Suppose 3*w - 4*w + p = 0. Let g = w - 480907/18. Find the common denominator of -41/14 and g.", "output": [ "126" ] }, { "id": "task835-9a15568f896443118d9faceb6a52f7f9", "input": "What is next in -5376, -21500, -48374, -85998, -134372, -193496?", "output": [ "-263370" ] }, { "id": "task835-6fed872ceb0e43d79ecf26ab0b5337df", "input": "What is -66 minus 0.422?", "output": [ "-66.422" ] }, { "id": "task835-78bbebb62b034f17ac5cb75628fab35d", "input": "Suppose -60 = 5*w - 160. Let p(j) = 1 + 4*j - j - 4*j. Let l be p(-2). Solve 5*i + 5*x + w = 0, 4*x + 8 = -l*i + 3*x for i.", "output": [ "-2" ] }, { "id": "task835-5dd7156c875c4c02af9741f0953c9db7", "input": "Suppose -3*a + 15 = 2*h + 2*a, 3*a = -h + 8. Let s = h - 4. Solve -4*q = 2*k - 14, -4*k - 1 = 2*q + s for q.", "output": [ "5" ] }, { "id": "task835-662c0cc3a40d4a43ab09a3e90a9bd61d", "input": "Suppose -4*i + 12 = 3*x, -3*x = -5*i - x + 38. Suppose 5 = 5*a, l - i*l = a - 16. Solve 5*z + 18 = y - 4*y, -11 = l*z + 2*y for z.", "output": [ "-3" ] }, { "id": "task835-2dbbbe07db624149813a26ce22cc4ea0", "input": "What is prob of sequence jj when two letters picked without replacement from {r: 9, j: 3}?", "output": [ "1/22" ] }, { "id": "task835-85da815d3b9e4fa09045aa8350c78bc4", "input": "Suppose 0 = -4*w + 4, 0 = -4*l - 3*w - w + 356. Let k(m) = 1 + m**2 - 2 - 4. Let o be k(4). Calculate the highest common factor of o and l.", "output": [ "11" ] }, { "id": "task835-c48785692f6f405eb38f4354b20f8d29", "input": "Evaluate (2 + -8 - -2) + -120 + 129.", "output": [ "5" ] }, { "id": "task835-849633f72134482da51718a21d4be57c", "input": "What is 3/5 of a hour in seconds?", "output": [ "2160" ] }, { "id": "task835-b6a92d7ff55c40ce86fdf177bce2ca95", "input": "What is eleven halves of a gram in milligrams?", "output": [ "5500" ] }, { "id": "task835-4518cfe16a184bcb9961ebd415f832fd", "input": "Suppose 5*p + r + 65 = 472, 3*p - 5*r = 233. Let s(q) = -4*q - 3. Let g be s(-3). What is the greatest common factor of p and g?", "output": [ "9" ] }, { "id": "task835-596221f0479649d085d38815147f3207", "input": "Suppose -3*l - 3*a - 3 + 39 = 0, -10 = -2*a. Suppose l*k - 3*k = 68. What is the tens digit of k?", "output": [ "1" ] }, { "id": "task835-2fec9d3b21364bfa8ab22926e8aed47d", "input": "Three letters picked without replacement from svojjvzsoovvso. Give prob of sequence jvs.", "output": [ "1/91" ] }, { "id": "task835-c0df6f7e504e4bb394de8f3956eb2b41", "input": "What is 56508 divided by 4?", "output": [ "14127" ] }, { "id": "task835-75199df774464aecb4815ff325b5cfc4", "input": "Let y(l) = -15*l + 5. Let x be y(-16). Suppose 0 = 5*i + 10 - x. What is the units digit of i?", "output": [ "7" ] }, { "id": "task835-f62006de92aa4b0394095b6446238789", "input": "What is prob of sequence dd when two letters picked without replacement from uddudd?", "output": [ "2/5" ] }, { "id": "task835-159e633d383247d79ad76915d86aed69", "input": "Let y be (46/8)/((-1)/(-20)). Suppose -2*r = 3*r - y. What is the remainder when r is divided by 6?", "output": [ "5" ] }, { "id": "task835-fc8f5faa1d764b10bc6bae25aa72c823", "input": "Calculate prob of sequence dx when two letters picked without replacement from xdddzdllddzldsllss.", "output": [ "7/306" ] }, { "id": "task835-3656502bc49146118739a73b9c0775b2", "input": "What is the remainder when (-332)/(-20) - (-6)/15 is divided by 6?", "output": [ "5" ] }, { "id": "task835-551f0b8eac2941e4a859c3e4617c4e50", "input": "What is five quarters of a day in hours?", "output": [ "30" ] }, { "id": "task835-93f21169627445fd893491908dd23790", "input": "What comes next: 316, 628, 940, 1252, 1564, 1876?", "output": [ "2188" ] }, { "id": "task835-e533499225774a20923197a7fd60fd10", "input": "Four letters picked without replacement from gttggt. What is prob of sequence gtgt?", "output": [ "1/10" ] }, { "id": "task835-4cc19f49a3fd422b9790a081b6e681a7", "input": "Calculate prob of sequence ll when two letters picked without replacement from {n: 3, l: 9}.", "output": [ "6/11" ] }, { "id": "task835-6f19cf675a234e6fa14bd83cffc050f1", "input": "Let j(d) = 7*d + 2. Let f be j(-2). Calculate the least common multiple of 8 and 2/(-3)*f/1.", "output": [ "8" ] }, { "id": "task835-b17aeb8206a74ba4b8fe918a8c354a0c", "input": "In base 2, what is 110 + 10010101?", "output": [ "10011011" ] }, { "id": "task835-f4eb81e40d7949c083ed16e1db67a46a", "input": "What is the product of -0.5 and 335?", "output": [ "-167.5" ] }, { "id": "task835-21e0660c93ff4984b2e9fa3a921332b8", "input": "What is prob of sequence ii when two letters picked without replacement from {f: 11, i: 7, k: 2}?", "output": [ "21/190" ] }, { "id": "task835-9944a0c13a124e2e95d38028f9e9f9e3", "input": "What is the difference between -2 and 251860?", "output": [ "251862" ] }, { "id": "task835-f71a7e1570104c47999da5cbbd69941a", "input": "How many millilitres are there in five quarters of a litre?", "output": [ "1250" ] }, { "id": "task835-0879206584e0468a93b573862dcbbb36", "input": "Let l be -3 + -3*(-14)/6. Suppose 0*b = l*b - 8. Suppose j = -3*j - 4*y + 52, b*j - 4*y = 38. What is the units digit of j?", "output": [ "5" ] }, { "id": "task835-45c330b6b0d64c53be3df1764334ce5f", "input": "Evaluate -29 + 24 - (2 - 9).", "output": [ "2" ] }, { "id": "task835-ca2b79250104469aa45d21f46420c2da", "input": "What is the tens digit of (2 - (-12)/(-8))/(2/332)?", "output": [ "8" ] }, { "id": "task835-88f2d010cbc248f3b3b8dc47161f283d", "input": "What is the value of (21 - 17)*(-2)/40?", "output": [ "-1/5" ] }, { "id": "task835-4bf454d841ad48ec8096c9c3a38cf47d", "input": "What is prob of picking 1 c and 1 k when two letters picked without replacement from fkfcfkfpfgcpg?", "output": [ "2/39" ] }, { "id": "task835-56476e7acb764d3b8635f8507cdfedab", "input": "Calculate prob of picking 1 a, 1 x, and 1 j when three letters picked without replacement from {x: 3, a: 7, j: 8}.", "output": [ "7/34" ] }, { "id": "task835-ae850a91e087423388116a0f308c2834", "input": "What is sixty-four fifths of a kilogram in grams?", "output": [ "12800" ] }, { "id": "task835-bef083cd60a84999bf5f7636294a1885", "input": "Let z = -210 + 300. Let t be (-14)/(-21) - (-398)/6. Let y = -31 + t. What is the greatest common factor of y and z?", "output": [ "18" ] }, { "id": "task835-49222166f4ed44788fb8381146ed81b2", "input": "What is prob of picking 1 p and 1 y when two letters picked without replacement from {y: 1, p: 2, z: 1, n: 2}?", "output": [ "2/15" ] }, { "id": "task835-ce466ef827924bf4b3ba994b9952bdbe", "input": "Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {o: 10, z: 3, h: 2, b: 5}.", "output": [ "1/19" ] }, { "id": "task835-c422fdb8b77b4ac198c52554188b5edc", "input": "Calculate (-60 - -61) + (-1 + 4 - 1).", "output": [ "3" ] }, { "id": "task835-67582f1256b84f03aa317336f54f1563", "input": "What is prob of picking 2 h when two letters picked without replacement from syhysyyhyoy?", "output": [ "1/55" ] }, { "id": "task835-8a3c980d76014ac1bf4aeccb22f159b1", "input": "What is the difference between 0.4 and 2.815?", "output": [ "2.415" ] }, { "id": "task835-650716d93e484e7d90726868c72b0173", "input": "How many nanoseconds are there in 94192.02 minutes?", "output": [ "5651521200000000" ] }, { "id": "task835-9c0dcf45ff9541c89a01aa44b5aa86b3", "input": "How many milligrams are there in seventeen halves of a gram?", "output": [ "8500" ] }, { "id": "task835-1ff4943b13da460ba43854c4586f9c12", "input": "What is prob of picking 1 d, 2 t, and 1 p when four letters picked without replacement from tldstpspsmpp?", "output": [ "4/495" ] }, { "id": "task835-50cf43cf1e2245d3acd88a7993ee2c38", "input": "What is 20133.759ms in minutes?", "output": [ "0.33556265" ] }, { "id": "task835-81c7526ed81249f8b93be573a2c1317b", "input": "Solve 4*y - 5*u = 17, -70 = -5*y - u - 56 for y.", "output": [ "3" ] }, { "id": "task835-b3a5d494a9474c1baf986991c827300a", "input": "Let z(p) = 5*p**2 - p. Suppose 28 = 2*r + 3*v, -2*r + 4*v - 28 = -4*r. Let s be (-1)/(-4) - r/(-8). What is the smallest common multiple of 4 and z(s)?", "output": [ "36" ] }, { "id": "task835-c17a4786c85a4ad0bc14cf9ad515c08b", "input": "Calculate the common denominator of -2 + (-249)/(-6) - -4 and 15/7.", "output": [ "14" ] }, { "id": "task835-199227fc8311481398e49c7766f88046", "input": "Four letters picked without replacement from {w: 3, t: 2, l: 3, b: 3, a: 6}. Give prob of sequence abtb.", "output": [ "3/2380" ] }, { "id": "task835-9ef9cbcada2342f5997a630c251a67e6", "input": "Three letters picked without replacement from ttatta. Give prob of sequence att.", "output": [ "1/5" ] }, { "id": "task835-7d0aa5a72b244c50a70bc8dda021d50f", "input": "What is 1141.09 less than 1?", "output": [ "-1140.09" ] }, { "id": "task835-7cb9db52178941949f479a1bccaaf7e1", "input": "What is 2847 take away 1?", "output": [ "2846" ] }, { "id": "task835-c4a6cb4a95004cc19fa143f27e0b01a7", "input": "-0.1105*-3", "output": [ "0.3315" ] }, { "id": "task835-3722ed2b102a43729b85e1b58bc139fc", "input": "What is the remainder when 13 is divided by (-26)/(-6) - 2/6?", "output": [ "1" ] }, { "id": "task835-e866b6ee5f864736b6b40ce579003c32", "input": "How many decades are there in 25.572312 months?", "output": [ "0.2131026" ] }, { "id": "task835-9360e49f045d4812b3cbae56c9cad001", "input": "What is prob of sequence cyyy when four letters picked without replacement from {c: 2, y: 3}?", "output": [ "1/10" ] }, { "id": "task835-3019ae54d96545539b97c5e0c04eed7b", "input": "Let v be (0 - 0 - -2) + -7. Let s(b) = -b**3 - 6*b**2 - 6*b + 7. What is the remainder when 35 is divided by s(v)?", "output": [ "11" ] }, { "id": "task835-b683d546140a4896b6d14bab0648f9a0", "input": "Three letters picked without replacement from {h: 1, m: 12}. What is prob of picking 3 m?", "output": [ "10/13" ] }, { "id": "task835-00937d15b1744f8581ebbf40434b13ab", "input": "Product of 0.5 and 0.00302.", "output": [ "0.00151" ] }, { "id": "task835-134e9891d096484dbc4f0035ec85b49c", "input": "Suppose -6 = -t - 2*t. Suppose 4*h - 10 = -t*r, -h - 3*h + 3*r + 5 = 0. Suppose 19 + 15 = h*g. What is the greatest common divisor of g and 153?", "output": [ "17" ] }, { "id": "task835-08ef1177e2f94f0f965c7dd4444141e2", "input": "Evaluate (1130/226)/(5/(-4)).", "output": [ "-4" ] }, { "id": "task835-0ac81726b9e349efa53ebfd2567a618f", "input": "Two letters picked without replacement from dioodwoliowowwii. Give prob of sequence ow.", "output": [ "1/12" ] }, { "id": "task835-1c6f6a0a609b4a89a316d0eaf0b48f43", "input": "What is 1/80 of a century in months?", "output": [ "15" ] }, { "id": "task835-e85edf9f61eb49db855b2c7ae7f5a2be", "input": "What is 7/4 of a year in months?", "output": [ "21" ] }, { "id": "task835-49bacfe6ff47416a84767a349a00e980", "input": "Three letters picked without replacement from {d: 8, j: 10, l: 1}. Give prob of picking 1 l and 2 j.", "output": [ "15/323" ] }, { "id": "task835-96590e24ce57435aa3041e4423ab9b66", "input": "How many millilitres are there in 1/5 of a litre?", "output": [ "200" ] }, { "id": "task835-14901d7a46ed45c4ac169a352f097432", "input": "Solve -71*y = -68*y - 4*p - 2, -6 = -4*y + 2*p for y.", "output": [ "2" ] }, { "id": "task835-0a90e69b37244c799e475e5794e9691c", "input": "Solve 9*a - 6*a + 9 = 0, 3*d + 3*a = -6 for d.", "output": [ "1" ] }, { "id": "task835-ce85791a0d5a4bfa9e62d9011666974d", "input": "Let u(f) = 2*f**2 - 5*f + 7. What is the remainder when u(7) is divided by 12?", "output": [ "10" ] }, { "id": "task835-77ca6bc981f54ad9a63b70ace0e57426", "input": "Two letters picked without replacement from mqmqqqqqqqqmqqqqo. Give prob of picking 1 o and 1 m.", "output": [ "3/136" ] }, { "id": "task835-456697bb407843709a651a395daaecd8", "input": "-87 divided by 8", "output": [ "-87/8" ] }, { "id": "task835-bf0a4332fc7b44c482f115b9f0723fe6", "input": "What is 3/40 of a milligram in micrograms?", "output": [ "75" ] }, { "id": "task835-70e7c55145bf4f09b121f02c280568ef", "input": "Solve 5*j = -4*q - 17, -3*q = 26*j - 29*j + 6 for j.", "output": [ "-1" ] }, { "id": "task835-ca8431fd4e7649c88a9536161cbcb068", "input": "Solve 4*r + n + 18 = 0, 61*r - 5*n = 62*r + 14 for r.", "output": [ "-4" ] }, { "id": "task835-75309a28470c49c5b5ba8ec9efda7e2f", "input": "Convert 86255.04 centuries to months.", "output": [ "103506048" ] }, { "id": "task835-75b1704f01df4a97b4710c11e4ce51d3", "input": "Three letters picked without replacement from {a: 1, q: 2, r: 2, g: 1, l: 1}. What is prob of sequence gqr?", "output": [ "2/105" ] }, { "id": "task835-ba5e7bac76bd45a69b105815eec505aa", "input": "How many micrometers are there in 3/32 of a meter?", "output": [ "93750" ] }, { "id": "task835-01e9a806f8764f59904222585ae54dba", "input": "What is (3/2)/((-21)/(-28) - -3)?", "output": [ "2/5" ] }, { "id": "task835-f1dad58a10274d3489483478e5196bbd", "input": "Let o(f) = f**2 + 12*f + 3. Let k be o(-12). Find the common denominator of -39 and (-21)/60 - k/(-12).", "output": [ "10" ] }, { "id": "task835-560692e27bea4c60abde381beebd567b", "input": "Three letters picked without replacement from {v: 1, y: 1, n: 1, g: 1, h: 1}. Give prob of picking 1 y, 1 h, and 1 g.", "output": [ "1/10" ] }, { "id": "task835-9a9b5845386c429fac82cea0f38ce2ae", "input": "What is prob of sequence yyy when three letters picked without replacement from eyeeeyyyeeeyyy?", "output": [ "5/52" ] }, { "id": "task835-91407753c51b44b39ca9f48b9ab0a154", "input": "How many meters are there in 25/8 of a kilometer?", "output": [ "3125" ] }, { "id": "task835-6da0daad779c445ea92127793166a406", "input": "Convert 7399.215t to nanograms.", "output": [ "7399215000000000000" ] }, { "id": "task835-83f35caca246452281a20a52eb01c252", "input": "How many nanograms are there in twenty-one eighths of a microgram?", "output": [ "2625" ] }, { "id": "task835-fa253581136641fbb20aa6af021b406a", "input": "What is prob of picking 1 f and 2 n when three letters picked without replacement from {d: 1, f: 1, a: 2, n: 13}?", "output": [ "39/340" ] }, { "id": "task835-c36a51d04a8f4a4b89fa32147c793ec2", "input": "Let j = 6 + -6. Suppose 3*z + 12 + 6 = j. Let i(g) = g**2 + 5*g - 4. What is the lowest common multiple of 20 and i(z)?", "output": [ "20" ] }, { "id": "task835-41b05e3cd62b4c759bafc14dba0aa11d", "input": "Convert 6931.502 grams to micrograms.", "output": [ "6931502000" ] }, { "id": "task835-757e2d1112fe48cbbeab6ba543cce39a", "input": "Solve 48*j + 180 = 3*j for j.", "output": [ "-4" ] }, { "id": "task835-b07fc7a6fa814c3f83b9ecc9c383b85a", "input": "Evaluate 2 + 21/5*-1 - -2.", "output": [ "-1/5" ] }, { "id": "task835-835deb812b584c0b859ef8c0e2a904f1", "input": "Let l be 2/8*6*-4. Let h(w) = w**3 + 7*w**2 + 3*w - 8. What is the tens digit of h(l)?", "output": [ "1" ] }, { "id": "task835-f80a7deed2554a40aa8e858bbeb5a97f", "input": "Two letters picked without replacement from {g: 2, b: 3, h: 3}. Give prob of picking 1 g and 1 b.", "output": [ "3/14" ] }, { "id": "task835-bf9d49a316f9496d99d2f881da37c4b0", "input": "Suppose 34 = -p - p - 2*r, 0 = -p - 2*r - 13. Let v = 38 + p. Let b = -12 - -80. Calculate the highest common divisor of v and b.", "output": [ "17" ] }, { "id": "task835-4a00e32a69ac4e77a10be40844269499", "input": "What is prob of sequence nrre when four letters picked without replacement from {q: 5, e: 1, r: 2, n: 1, f: 9}?", "output": [ "1/36720" ] }, { "id": "task835-8bb88a637b484d169c67624cef7a9e6c", "input": "Solve 34*v - 29*v = -5*f + 20, -2*v = -3*f + 12 for v.", "output": [ "0" ] }, { "id": "task835-88e0862384d54869a1242ad2db20fa8a", "input": "Calculate prob of picking 1 v and 1 w when two letters picked without replacement from twtttvtqt.", "output": [ "1/36" ] }, { "id": "task835-52bb4bfc904542029cd976cc5cb3f7aa", "input": "Suppose 5*i = 2*i + 4*b + 10, -5 = i - 3*b. Suppose 6*v - 3*v = -2*v. Suppose i = -v*s + s. What is the tens digit of s?", "output": [ "1" ] }, { "id": "task835-10e1af8b4b8142b2b58ede1aefe4605b", "input": "What is 55/4 of a gram in milligrams?", "output": [ "13750" ] }, { "id": "task835-164405abff0945368e6ba0e569884f51", "input": "What is one twentieth of a day in seconds?", "output": [ "4320" ] }, { "id": "task835-81b9640f9f2049b8985fbbf715a26396", "input": "Solve 3*z + w + 7 = 15, w - 3 = 2*z for z.", "output": [ "1" ] }, { "id": "task835-1d88c812afd149ab8dccba5e31b34eb9", "input": "Suppose -5*p + 5 = 2*f, -3*f - 3*p + 42 = -7*p. Calculate the least common multiple of 1 and f.", "output": [ "10" ] }, { "id": "task835-a50789bd599a4dcab09d71d9589959cf", "input": "What is prob of sequence aavh when four letters picked without replacement from avavvhavaa?", "output": [ "1/63" ] }, { "id": "task835-5810a7e9e4204b6f9ac3df54eeffbfc8", "input": "Solve -3*d - 14*d - 17 = 0 for d.", "output": [ "-1" ] }, { "id": "task835-b73ef76f662f4523a93d86206478271d", "input": "What is prob of picking 1 l and 1 w when two letters picked without replacement from {h: 6, l: 3, g: 3, d: 2, w: 1}?", "output": [ "1/35" ] }, { "id": "task835-d8591e070f3a4de2acfc2e9d96980fda", "input": "What is 25/2 of a milligram in micrograms?", "output": [ "12500" ] }, { "id": "task835-4b2f594f352148eaa038d4d2a2f20c1a", "input": "Two letters picked without replacement from {d: 1, s: 1, g: 2, y: 1, w: 2}. Give prob of sequence sd.", "output": [ "1/42" ] }, { "id": "task835-842a806b9bb84652a4c0925b56aec500", "input": "What is the value of (-2*4/(-72))/(1/(-2))?", "output": [ "-2/9" ] }, { "id": "task835-1f44644676c84643bb4e1080958da915", "input": "Suppose 0 = -6*r + 5*r + 47. Let c(q) = -q + 4. Let j be c(0). Suppose 5*w = -5*u - 0*u + 105, -5*w = j*u - 89. Calculate the remainder when r is divided by u.", "output": [ "15" ] }, { "id": "task835-5a22384714cd435392ad03ebecad1a4c", "input": "Solve 11*h = 14*h + 2*t + 22, -h + 3*t + 11 = 0 for h.", "output": [ "-4" ] }, { "id": "task835-d0053fa85da24a01a9ed99351999355d", "input": "How many micrometers are there in fourty-five eighths of a centimeter?", "output": [ "56250" ] }, { "id": "task835-10d9f35d8f1c4453b22c4696f7144542", "input": "What is prob of picking 1 l, 2 s, and 1 p when four letters picked without replacement from psplssppppppppp?", "output": [ "11/455" ] }, { "id": "task835-b830c9e713cf4dfa80058619dc94ff09", "input": "Let p(x) = -5*x + 1. Let o be p(-2). Let b = 22 - o. Calculate the highest common factor of 44 and b.", "output": [ "11" ] }, { "id": "task835-e29fe4c6d5124740b3bf35ec23d278c9", "input": "Suppose -5*k + i + 4 - 25 = 0, -16 = 5*k + 4*i. Let r = 14 - k. Suppose 0 = h - 4*j + 4 - r, 0 = 4*h - 2*j - 70. What is the units digit of h?", "output": [ "8" ] }, { "id": "task835-3e40201fd97d49fbba68aa4a9d434d42", "input": "Evaluate (-28)/21*(-9)/2.", "output": [ "6" ] }, { "id": "task835-d8c13bc36b004ce0b1fc2927ee88c6dd", "input": "Suppose -a + 5*a - 8 = 0. Let x be -5*a/(-5)*1. Solve 5 + 1 = 2*s - 4*z, 4*s - x*z - 18 = 0 for s.", "output": [ "5" ] }, { "id": "task835-26470740441e4fe391639656458c056b", "input": "Three letters picked without replacement from zzizvfzzzvzizf. Give prob of sequence ffz.", "output": [ "2/273" ] }, { "id": "task835-bb8f6050003b4d58b1d85946623fc93b", "input": "Let l be (6/(-9))/(6/(-108)). Let x be -10 - (-4 - 2*-1). Let t = x + l. Calculate the highest common factor of t and 44.", "output": [ "4" ] }, { "id": "task835-4875e76900b54f42b38d60ce2286abf1", "input": "Let u = 4 + -5. Let w(j) = 6*j**2 + j. Let b be w(u). Suppose 0 = 6*v - v, -b*o - 4*v + 65 = 0. What is the highest common divisor of 39 and o?", "output": [ "13" ] }, { "id": "task835-b223bbd13e3c4348a76e1c22b4ba0b38", "input": "Solve -4*k = 5*u - 15, -k - 15 = 61*u - 66*u for k.", "output": [ "0" ] }, { "id": "task835-c55696444245469887096c68a1e44a32", "input": "Let d(r) = -11*r**2 - 1. Let h be d(-1). Suppose -4 - 13 = -s. Let t = s + h. Solve -3*w + 9 = -3*x, -6 = t*w + 5*x - 21 for w.", "output": [ "3" ] }, { "id": "task835-6ba718b47f3240b6860166adeb7ac2ed", "input": "How many millilitres are there in one fifth of a litre?", "output": [ "200" ] }, { "id": "task835-2d77591cb6464134ab0db9cac346d880", "input": "In base 5, what is -3 - 102241?", "output": [ "-102244" ] }, { "id": "task835-89f400d85788482da5d5c2af56301d95", "input": "What is the next term in -147, -149, -151, -153?", "output": [ "-155" ] }, { "id": "task835-a85379fddecf495a9ae784ed46ac4252", "input": "What is prob of picking 2 f when two letters picked without replacement from iiiiffll?", "output": [ "1/28" ] }, { "id": "task835-22b28855641c41268deb9517edd71d85", "input": "How many nanograms are there in 1/4 of a microgram?", "output": [ "250" ] }, { "id": "task835-d5b1713abe1544018e66dfd1e54e559d", "input": "In base 3, what is 12 - -11020?", "output": [ "11102" ] }, { "id": "task835-f0ff3548e5124b059f302ab5125bce00", "input": "Divide -1830 by -6.", "output": [ "305" ] }, { "id": "task835-dd7e857cc4264cc4b92601117142ffa0", "input": "Suppose 5*l = l + 16. Suppose -5*n + 8 = l*b, 5*n - 5*b = 2*n - 10. Solve n = -2*j + j + 4 for j.", "output": [ "4" ] }, { "id": "task835-c549d8b8a4b949a6ba9559ed92bcc7b8", "input": "Let n be -2 + 0 + 14/(-2). Let q = 18 + n. What is the greatest common factor of q and 81?", "output": [ "9" ] }, { "id": "task835-7ae22fad41e3460aa83cfbbf1d9f31c5", "input": "Let z = 24 - -9. What is the remainder when z is divided by 9*(8/(-12) + 2)?", "output": [ "9" ] }, { "id": "task835-8241e46efb4a4c509f60e3e91a09fd7c", "input": "How many months are there in 7/8 of a millennium?", "output": [ "10500" ] }, { "id": "task835-9ad9f4e2381a466dbe2c42a79f728c45", "input": "What is prob of picking 1 v, 1 i, and 1 n when three letters picked without replacement from hnqvdin?", "output": [ "2/35" ] }, { "id": "task835-0cddbe830aa347cfb8187ac2459a9f38", "input": "19 divided by 19", "output": [ "1" ] }, { "id": "task835-7db7553babfd46dba25bd07cd3763e8e", "input": "Evaluate ((-11)/1)/22*-2*2.", "output": [ "2" ] }, { "id": "task835-9b87ef1b28c64a93bff388cb4f41167c", "input": "3 - (-4 + 4 + 2)", "output": [ "1" ] }, { "id": "task835-b0cf8986667845b2a98bae92191812ca", "input": "Two letters picked without replacement from doooorxxrxro. What is prob of sequence dx?", "output": [ "1/44" ] }, { "id": "task835-b3d1e93a62bb4d1696487ab4e27f5d18", "input": "What is next in -841, -842, -843, -844, -845?", "output": [ "-846" ] }, { "id": "task835-e28598630fb44b3288ca378e45ed2273", "input": "What is the next term in 511, 509, 507, 505, 503, 501?", "output": [ "499" ] }, { "id": "task835-31cc1737a7aa4b82afd553b6bec172da", "input": "In base 15, what is -2 + -1d?", "output": [ "-20" ] }, { "id": "task835-1c0fd39ed82145d390ef19fd915af40a", "input": "Solve -182 - 434 = -77*k for k.", "output": [ "8" ] }, { "id": "task835-f584370d543142f78d528555c0f289ed", "input": "Two letters picked without replacement from {b: 4, q: 1, p: 1, i: 2, j: 7}. What is prob of picking 2 j?", "output": [ "1/5" ] }, { "id": "task835-2a29a93649854e2284166cfd5b950098", "input": "What is 0.3799377 weeks in minutes?", "output": [ "3829.772016" ] }, { "id": "task835-3f952f5f82c341f495e1401151c86f04", "input": "What is 0.4 plus 0.455?", "output": [ "0.855" ] }, { "id": "task835-a58764a157f448f0bde2e6079347cfa4", "input": "What is -0.05 - -437.1?", "output": [ "437.05" ] }, { "id": "task835-9d0fc1650bec477a9757f1d84ae3c82e", "input": "How many months are there in 48.01052 millennia?", "output": [ "576126.24" ] }, { "id": "task835-58ff1d1459e44c75b1fbd87f70be62ac", "input": "What is the value of (((-18)/1)/6)/3?", "output": [ "-1" ] }, { "id": "task835-68c386ae8c19436a8d3b5e996426e49a", "input": "Suppose 0*l = -l + 56. Let y = l - 6. What is the highest common divisor of 10 and y?", "output": [ "10" ] }, { "id": "task835-73139ebc67694a13b827f51f62bfb3e5", "input": "How many millilitres are there in 331.6672 litres?", "output": [ "331667.2" ] }, { "id": "task835-1f9ae28d76784843b968d06864076636", "input": "-1 + 2/((-7)/(7/2))", "output": [ "-2" ] }, { "id": "task835-39a2fa1903b842f4a66240925f2b69ee", "input": "Calculate prob of picking 1 q, 2 k, and 1 p when four letters picked without replacement from quuqdgpkk.", "output": [ "1/63" ] }, { "id": "task835-a7e91141f974407ab106c6d4059d3bfa", "input": "Let i(x) = -x + 43. Suppose -4*g - 4*q = -64, 4*g - 7*q = -3*q + 24. What is the remainder when i(0) is divided by g?", "output": [ "10" ] }, { "id": "task835-9ab0c7230d2d4e34aca07a8400bbf336", "input": "What is 433.6388 days in milliseconds?", "output": [ "37466392320" ] }, { "id": "task835-38a7fbb83bbe489d9e0d9c4a6f12cb41", "input": "What is prob of picking 2 g and 1 x when three letters picked without replacement from eyexyxxexgxgyxggxgy?", "output": [ "70/969" ] }, { "id": "task835-1340fbe6ce6f4fb2b9d568e29cfb8b48", "input": "What is three tenths of a gram in milligrams?", "output": [ "300" ] }, { "id": "task835-00164ed864354136b9425d6b1e53efcf", "input": "What is prob of sequence xpx when three letters picked without replacement from {x: 14, p: 4}?", "output": [ "91/612" ] }, { "id": "task835-d8897a58ff4d4d84869e79d81e574c5e", "input": "Let c be ((-2)/(-3))/((-3)/(-9)). Let i(h) = 12*h**2 + 2*h. What is the remainder when i(c) is divided by 11?", "output": [ "8" ] }, { "id": "task835-6948d651450b4e82a916434a3e5684b2", "input": "Two letters picked without replacement from xhtxihxghxhthxx. What is prob of sequence hi?", "output": [ "1/42" ] }, { "id": "task835-34ef1c3f1a3d4f0bab6d5b6ec37d7d1d", "input": "Suppose -4*m - 5*z - 6 = -2*z, -m + z = -2. Suppose -26 = -4*d + 2. Solve 3*p + 2*a = 11, 4*p + m*a = 5*a + d for p.", "output": [ "3" ] }, { "id": "task835-0f973d476eb24c92ac64caef50877517", "input": "Product of -0.035 and -0.008.", "output": [ "0.00028" ] }, { "id": "task835-670ae78e795f4527a7148d5a30695c3f", "input": "Calculate prob of sequence yyya when four letters picked without replacement from {a: 5, y: 5}.", "output": [ "5/84" ] }, { "id": "task835-b6200a007d184318b5a0df3376b4b60f", "input": "What is nine tenths of a litre in millilitres?", "output": [ "900" ] }, { "id": "task835-8934431736a84a87965255fad9c2623f", "input": "Let f be (-6)/5*(-360)/(-27). Suppose -5*k - 5*a = -335, 0*k = 4*k + 3*a - 271. Let p = k + f. Calculate the greatest common factor of p and 6.", "output": [ "6" ] }, { "id": "task835-403f74b0c396405a866c2efdc4a367a8", "input": "What is eighteen fifths of a litre in millilitres?", "output": [ "3600" ] }, { "id": "task835-7b14b2658d8b4e74aee418fdc55b3452", "input": "Convert 56306.529us to days.", "output": [ "0.0000006516959375" ] }, { "id": "task835-1935bc1deb8e463c82a903e9ed63cb17", "input": "What is the next term in 2890, 2888, 2886, 2884, 2882, 2880?", "output": [ "2878" ] }, { "id": "task835-05916d5b7f6e47cf8079af32fac29e45", "input": "What is 1457 to the power of 1/9, to the nearest integer?", "output": [ "2" ] }, { "id": "task835-ef1b3e12106a4765b38c3ae5e5f5d13c", "input": "What is -0.188 + -0.814?", "output": [ "-1.002" ] }, { "id": "task835-e5cc05b59ef147d0acc6230962627b58", "input": "-23810 divided by 5", "output": [ "-4762" ] }, { "id": "task835-7a11a77059464bb88cbae1f169c1e97a", "input": "Convert 606830.4 years to centuries.", "output": [ "6068.304" ] }, { "id": "task835-b5dd61662b82435a8b5c4ad4d32dc319", "input": "In base 13, what is 2b4a - 3?", "output": [ "2b47" ] }, { "id": "task835-a6a81e5e15c2441d96da82c5107c92e0", "input": "Let y(x) = 15*x**2 - 9*x + 7. Let z(m) = -8*m**2 + 4*m - 3. Let h(c) = -4*y(c) - 9*z(c). What is the smallest common multiple of 3 and h(1)?", "output": [ "33" ] }, { "id": "task835-7e5402b2611b44c59fef1180ebe6f71b", "input": "How many decades are there in 148722.75 months?", "output": [ "1239.35625" ] }, { "id": "task835-575cf4a7eb1c471e908ae217f93f1185", "input": "Calculate prob of sequence sssh when four letters picked without replacement from hsss.", "output": [ "1/4" ] }, { "id": "task835-a55ca35673404fcfbb2824c29cb5b66a", "input": "What is 9227.699 litres in millilitres?", "output": [ "9227699" ] }, { "id": "task835-3b949d4d832d431981373e2a61d0a52e", "input": "Let q = -13061612/3 - -4401485. Let v = q + -49250. Let b = v - -1615. Find the common denominator of b and -1/7.", "output": [ "21" ] }, { "id": "task835-bc04d1c06a034da9af8ce72c31cd1262", "input": "Calculate prob of sequence ef when two letters picked without replacement from efffefeeeffef.", "output": [ "7/26" ] }, { "id": "task835-927d7f2d0bda4963931265180e87e44a", "input": "How many nanometers are there in 0.4231474um?", "output": [ "423.1474" ] }, { "id": "task835-938b906a66624db68f1df17d35d0f93a", "input": "What is 28847 to the power of 1/2, to the nearest integer?", "output": [ "170" ] }, { "id": "task835-c23484fa97524342af3835a18adcc1c4", "input": "Calculate prob of sequence tw when two letters picked without replacement from {t: 5, p: 1, y: 6, w: 4, h: 1, s: 3}.", "output": [ "1/19" ] }, { "id": "task835-e3d9522cdec94546a2a920cfce42356e", "input": "Three letters picked without replacement from nfenannazaaznanea. What is prob of picking 1 f and 2 n?", "output": [ "3/136" ] }, { "id": "task835-559683d4d35b4ac09ec31dbf568902ef", "input": "Work out -101915.2 + -0.01.", "output": [ "-101915.21" ] }, { "id": "task835-44d4641b524a41b787ca692247a8cffa", "input": "Suppose -5*p = -0*p + 5*s + 25, -5*p = -2*s - 10. Suppose p = -r + 15 - 2. Let l be (-6500)/150*3/(-2). Calculate the greatest common factor of r and l.", "output": [ "13" ] }, { "id": "task835-1876d05615f042cf86b8cfffe43a078c", "input": "Convert 95.72964cm to kilometers.", "output": [ "0.0009572964" ] }, { "id": "task835-5a24c853b31f4eaf870e3d2cc4c86e0a", "input": "What is (-5)/2*(-136)/170?", "output": [ "2" ] }, { "id": "task835-f85df1f9a0c84da18bbce4104096db3b", "input": "What is next in 240, 198, 156, 114, 72, 30?", "output": [ "-12" ] }, { "id": "task835-d5236d03e6e746dd86266d0bb6641703", "input": "Let c(g) = -g**3 + 2*g**2 + 3*g + 2. Let l be c(3). Solve 2*m = -l*m for m.", "output": [ "0" ] }, { "id": "task835-9a3421c25aef4ade859a935c507269fe", "input": "Let s(g) = g**2 - 12*g + 3. Let i be s(12). Solve 1 = 2*p - 4*q + i, 0 = 4*q - 12 for p.", "output": [ "5" ] }, { "id": "task835-998427f9ff9f41209360a2820e3d46fe", "input": "Solve 38 = 49*i - 60 for i.", "output": [ "2" ] }, { "id": "task835-21e1c0cb4fb745b19a8eaea37d8ec986", "input": "Find the common denominator of 57/44 and ((-1695)/50)/(8/(-5) + -2).", "output": [ "132" ] }, { "id": "task835-fb437016b86f41738c2aac7535418ee2", "input": "What is 13/4 of a kilometer in meters?", "output": [ "3250" ] }, { "id": "task835-24c15d1c23574e389bd7ab5d591c9c20", "input": "Convert 4.029552 years to decades.", "output": [ "0.4029552" ] }, { "id": "task835-ff878e4ecd584d0eb7be8168cac19569", "input": "What is next in -51, -93, -131, -165, -195, -221?", "output": [ "-243" ] }, { "id": "task835-ac3b102f8aad463dbc834b1f838bf25e", "input": "Solve -10 = -4*b + 10 for b.", "output": [ "5" ] }, { "id": "task835-86246f01a60b4ffaabc977372265c4ce", "input": "Two letters picked without replacement from hwhjoxhhhhgxjhh. What is prob of picking 1 x and 1 o?", "output": [ "2/105" ] }, { "id": "task835-5ece8f9efcaa46b6a80731e3cd169afb", "input": "How many minutes are there in two ninths of a day?", "output": [ "320" ] }, { "id": "task835-8c85eee38f324f93808c799d5d4a0c7e", "input": "Convert 0.0552082 litres to millilitres.", "output": [ "55.2082" ] }, { "id": "task835-936f1b9c9a8540c6b41da2ef2273634c", "input": "Let k be 5/(-1)*(-4)/(-10). Let j be k/(-8) - 15/(-4). Let w be (-1 + 5)/((-4)/(-8)). Calculate the greatest common divisor of j and w.", "output": [ "4" ] }, { "id": "task835-42af833a5783487dbcf4371e73b228bd", "input": "Let o be -12*-2*(-3)/(-24). What is the highest common factor of o and 33?", "output": [ "3" ] }, { "id": "task835-9e6a948e78e64a68852f0b23d470c968", "input": "Calculate prob of picking 2 w, 1 x, and 1 f when four letters picked without replacement from xzwwbzwgfzgwwwz.", "output": [ "1/91" ] }, { "id": "task835-71230411564742ee832e0a4835bd93e2", "input": "Suppose 0*l - 99 = -2*l - n, 0 = -4*n + 12. Calculate the remainder when l is divided by 13.", "output": [ "9" ] }, { "id": "task835-3e3037bb3b6648beb8f93c7a141cb11e", "input": "How many decades are there in 254700.06 months?", "output": [ "2122.5005" ] }, { "id": "task835-7361070cb3c54a81b67e7c8b7f0d3d33", "input": "What is 69/2 of a litre in millilitres?", "output": [ "34500" ] }, { "id": "task835-4012f8243cbf4cf0863665e547cc8906", "input": "Suppose 3*i + 1 = -44. Let s = i - -27. Solve j + 3*b - 4 = -b, 4*j + 2*b + s = 0 for j.", "output": [ "-4" ] }, { "id": "task835-f9a344607f0640aa9cf5ce49187fd8ee", "input": "What is 207.0889um in nanometers?", "output": [ "207088.9" ] }, { "id": "task835-7e867ad41e884159bdba5d7289509351", "input": "What is 130798 to the power of 1/6, to the nearest integer?", "output": [ "7" ] }, { "id": "task835-e0d37ce361ad40f09f229a65428be33a", "input": "Three letters picked without replacement from uuourrorrru. Give prob of picking 2 r and 1 o.", "output": [ "4/33" ] }, { "id": "task835-d036995011e444cd81fd0f622c93bbcc", "input": "Solve -4*j - 57 + 61 = 0 for j.", "output": [ "1" ] }, { "id": "task835-91fb2d5c319e459e8db7716004692922", "input": "Four letters picked without replacement from {x: 8, y: 1, f: 6}. What is prob of sequence xyxx?", "output": [ "2/195" ] }, { "id": "task835-d02750e7240b4f958e7b6f812b07e6df", "input": "In base 12, what is -37 + 28?", "output": [ "-b" ] }, { "id": "task835-c4f1b03b8212486ca941118b17e95667", "input": "What is 0.9978494 kilometers in centimeters?", "output": [ "99784.94" ] }, { "id": "task835-28b14b2420c6405f8843f694ba3bf79b", "input": "Two letters picked without replacement from hxhwxwhhhxihxhhhhw. Give prob of sequence ih.", "output": [ "5/153" ] }, { "id": "task835-2240942c524f4262bd21cf3d5ded4abe", "input": "What is the next term in 298, 595, 892, 1189?", "output": [ "1486" ] }, { "id": "task835-4043a811a41643d5905c4f202e155c9f", "input": "What is 2018.783 days in microseconds?", "output": [ "174422851200000" ] }, { "id": "task835-87484d82315f4fedb1965a90b052833d", "input": "Two letters picked without replacement from vxvxxvvvvvvvxg. What is prob of sequence vv?", "output": [ "36/91" ] }, { "id": "task835-219e895b94e04e3eaacd1fba2719b2ce", "input": "Two letters picked without replacement from {s: 1, h: 2, d: 1, v: 1}. What is prob of picking 1 d and 1 s?", "output": [ "1/10" ] }, { "id": "task835-3d7a3352d5b743d69cacb3f89f3a32a0", "input": "Evaluate 3 + 3 + (1 - 1).", "output": [ "6" ] }, { "id": "task835-8be7815f60cb489f86e5cd2bd3c7ed3b", "input": "Suppose -f = -6*f - v + 29, -28 = -4*f - 2*v. Let d be 1*1/((-3)/(-12)). Suppose d*q = f*m - 0*m + 99, 0 = 5*m + 15. Solve -q = -3*b - 6 for b.", "output": [ "5" ] }, { "id": "task835-3043c20c28dd4b179983325afe0bff5d", "input": "Convert 69.14492l to millilitres.", "output": [ "69144.92" ] }, { "id": "task835-929271f8572d49898fc181dd8235fa64", "input": "Let x be 11 + -3 + 1/1. Suppose 3*m + 0*m - x = 0. Suppose -5*d + 4*d = -m. What is the units digit of d?", "output": [ "3" ] }, { "id": "task835-38d2628fedab4cdbb957ee80bca7347a", "input": "How many milligrams are there in 689838.7kg?", "output": [ "689838700000" ] }, { "id": "task835-3f2ab0e69e47476a88f95f234d00f80c", "input": "What is the value of -4 - ((-11 - -3) + -10 + 13)?", "output": [ "1" ] }, { "id": "task835-7d5ccf32dd624fee98b92e5026203453", "input": "Let g = -5193/5 - -1044. Let r = 135/49 - 3163/490. What is the common denominator of g and r?", "output": [ "10" ] }, { "id": "task835-f3b12eb23fa942278ee66f94eec39165", "input": "Let i(m) = m**3 + 26*m**2 + 42*m - 25. Let j be i(-24). Calculate the highest common divisor of 17 and j.", "output": [ "17" ] }, { "id": "task835-0671f729e52c4b7d8ac3e2a13e5c1984", "input": "What is -4 - -1 - -6*(-665)/(-1368)?", "output": [ "-1/12" ] }, { "id": "task835-b14659cf1d7e47a1b9f5d5c2fef937ef", "input": "Suppose 0 = -3*w + 4*c - 18 + 39, -2*w + 14 = -2*c. Suppose w*o = 3*o + 8. Solve -5 = d + 3*u + o*u, -d + 3*u - 5 = 0 for d.", "output": [ "-5" ] }, { "id": "task835-d2fa686f33654274bf88e17deeb4651a", "input": "Convert 18989.9 meters to centimeters.", "output": [ "1898990" ] }, { "id": "task835-577721e1b2b54eeb9aeb22d65babcee3", "input": "What is the value of (4/(-1))/(-40)*(-48)/6?", "output": [ "-4/5" ] }, { "id": "task835-22aaadedf83349838bc271c0bdcf6628", "input": "In base 2, what is -110011 - 11111001?", "output": [ "-100101100" ] }, { "id": "task835-6df000fad5624cbeb23b49f2671c0560", "input": "Solve -16*p + 19 = k - 21*p, 2*p + 8 = 0 for k.", "output": [ "-1" ] }, { "id": "task835-c4bcaa51136842b3bfa26764c54788dd", "input": "What is prob of sequence ee when two letters picked without replacement from {e: 3, y: 1}?", "output": [ "1/2" ] }, { "id": "task835-5c04b88ae56541c890fea561543dd3b1", "input": "1067*0.5", "output": [ "533.5" ] }, { "id": "task835-79805328d36746f78655aa1ca5d860da", "input": "How many litres are there in 13006.92ml?", "output": [ "13.00692" ] }, { "id": "task835-9dee41283cb344ddbc4da59972a3ff73", "input": "Convert 7.612599 years to decades.", "output": [ "0.7612599" ] }, { "id": "task835-6b2a284a84a743ffaa129e040041c987", "input": "Solve b - 2 = j, -3*b - 3 = -j - 7 for j.", "output": [ "-1" ] }, { "id": "task835-2030abdc6ec34737807baa85be01e11e", "input": "Let z(f) = -209*f - 2. What is the tens digit of z(-1)?", "output": [ "0" ] }, { "id": "task835-76e561a8343f4648ade44611d9e0e6a6", "input": "Let v be (4 - 6)/(4/6). Let t = v + 6. Suppose m - 3 - 9 = t*y, -3*y = 5*m - 24. What is the least common multiple of 4 and m?", "output": [ "12" ] }, { "id": "task835-bdfe897f4aab4255a9bdd6d1a7bfdc13", "input": "What is the value of ((-14)/70)/(3/5)?", "output": [ "-1/3" ] }, { "id": "task835-39c9842ed9ad49829493b90318e37d3c", "input": "How many micrograms are there in 45/4 of a milligram?", "output": [ "11250" ] }, { "id": "task835-fde30d10d9ce46379bb02493d164553f", "input": "What is -19.4 minus -2.636?", "output": [ "-16.764" ] }, { "id": "task835-75cd76f742bb4c139b93611fe1b0ff3b", "input": "Calculate -44 + 38 + (0 - (-4 - 2)).", "output": [ "0" ] }, { "id": "task835-5abaf3cd5a724ca2a4493a4503d1d782", "input": "What is the next term in 52, 101, 150, 199?", "output": [ "248" ] }, { "id": "task835-9e1a8664bd454f1a873b4211d551d981", "input": "Evaluate ((-8)/(-12))/1*-3.", "output": [ "-2" ] }, { "id": "task835-ee0fab7ba91b4cd1b8c84e44972a48aa", "input": "Two letters picked without replacement from dfd. Give prob of sequence fd.", "output": [ "1/3" ] }, { "id": "task835-26e48a72f04c48b4a045e0b14e4e270e", "input": "Three letters picked without replacement from loood. What is prob of picking 1 d and 2 o?", "output": [ "3/10" ] }, { "id": "task835-889e5324406c4dcebc82c89f64246bd1", "input": "Let y = -2 - -2. Let a be (-1 - 0)*y/1. Solve -4 = -2*t - a*t for t.", "output": [ "2" ] }, { "id": "task835-93aa2f0a54d84f81b3f480c3966eec22", "input": "What is 7/8 of a microgram in nanograms?", "output": [ "875" ] }, { "id": "task835-f973e1a9d6774546b3dc8555bb47d244", "input": "Let x be 4/(-3) - (-4)/3. Let r = -17 + 12. Let o = x - r. Solve -o*m - 11 = 4 for m.", "output": [ "-3" ] }, { "id": "task835-5aa956eb017a48c39aa35f176deb925d", "input": "Let l(v) = -v**3 + 12*v**2 + 13*v + 2. Let r(q) = -2*q + 5. Let c be r(-4). Let y be l(c). Solve -w + 2 = -3*s - 8, s + 1 = -y*w for s.", "output": [ "-3" ] }, { "id": "task835-848d95f4e201448d8517964701bc0b81", "input": "Let i(l) = l**2 - 2*l + 4. Let n be i(4). Let p be ((-2)/(-3))/((-4)/(-18)). Suppose 2*o = -p*y + 24, 4 = y + 5*o - 4. Solve n = 4*d - y for d.", "output": [ "5" ] }, { "id": "task835-884f3268a8ed409a893ecb4d6ed4bbdc", "input": "Suppose -4*c - 31 = 17. Let u = 17 + c. What is the remainder when 13 is divided by u?", "output": [ "3" ] }, { "id": "task835-cc1c8ee01ae54edaabc03e22bdea94f0", "input": "What is next in 2, -4, -10?", "output": [ "-16" ] }, { "id": "task835-313df31c55754e3689fa5e5646b76209", "input": "Let u(z) = -3*z - z**2 + 4 - 3 - 5*z + 5. Let i be u(-8). Solve -5*h - i - 4 = 0 for h.", "output": [ "-2" ] }, { "id": "task835-51e55b5d128446bd8ae4de10bd59f518", "input": "What is the units digit of (-33)/(-7) - 2/(-7)?", "output": [ "5" ] }, { "id": "task835-73de11e289344b2294322c96fcc9eb54", "input": "Calculate prob of sequence pm when two letters picked without replacement from mmyypyypppn.", "output": [ "4/55" ] }, { "id": "task835-597e9190099d4b0889b0dae4b6e7941b", "input": "Three letters picked without replacement from wcmwwmwwcmccw. What is prob of picking 3 w?", "output": [ "10/143" ] }, { "id": "task835-182eedbd05754d78b91b6f81bead64b0", "input": "Suppose -b - 3*g = 2*b - 231, -310 = -4*b - 2*g. Suppose -5*k = -10, 5*k + b = 2*u - 0*u. What is the units digit of u?", "output": [ "4" ] }, { "id": "task835-fddb8d987aee4b6b9a28d4c24e033ea7", "input": "What is -1062 divided by 2?", "output": [ "-531" ] }, { "id": "task835-9078717577204d7e9a8f48aeb9cc8710", "input": "How many months are there in 21/8 of a century?", "output": [ "3150" ] }, { "id": "task835-3b02e7fca2eb42fda050337d7a7ef90c", "input": "How many minutes are there in eight fifteenths of a hour?", "output": [ "32" ] }, { "id": "task835-5145bc2852d5480880b60aa15b3efd74", "input": "What is the cube root of 124458 to the nearest integer?", "output": [ "50" ] }, { "id": "task835-8499d10686f64b21858898562e7ffe09", "input": "Two letters picked without replacement from fffffffffffnf. Give prob of sequence nn.", "output": [ "0" ] }, { "id": "task835-12849eee5e1c495485fef39efccb8c04", "input": "Let z = -121 - -143. What is the lowest common multiple of z and 12?", "output": [ "132" ] }, { "id": "task835-1a1251dd493047d284c22797bc12750e", "input": "How many years are there in 7324.85 centuries?", "output": [ "732485" ] }, { "id": "task835-4cb24bc1a0284b588a1137d5c142bc04", "input": "Solve -27*c + 116 = -46 for c.", "output": [ "6" ] }, { "id": "task835-6cbdbad23bb9474c9909a4272465035f", "input": "42*157", "output": [ "6594" ] }, { "id": "task835-8157138f769e440e9275a5a0cf28a1f5", "input": "Suppose -3*z = -8*z. Suppose z*v = v - 1. Let i be 0/2 + (v - -1). Solve y + y = t, 0 = -2*t + 3*y - i for t.", "output": [ "-4" ] }, { "id": "task835-debd04d6aede49dc81da0db02854c4c4", "input": "What is 53.35152 days in microseconds?", "output": [ "4609571328000" ] }, { "id": "task835-095291bac3494f3a8ac233a92e6feb00", "input": "Two letters picked without replacement from awlpppawllauapap. Give prob of picking 1 p and 1 u.", "output": [ "1/24" ] }, { "id": "task835-90540da1bfd34ab5a87bff815383c0e7", "input": "How many millimeters are there in 33/5 of a meter?", "output": [ "6600" ] }, { "id": "task835-ec2fa3962b164c1b9e1d58c2ca232fd1", "input": "Convert 0.0691525 grams to nanograms.", "output": [ "69152500" ] }, { "id": "task835-899830429e38451496114cabae4d729d", "input": "Suppose 3*q - 12 = -3*k, -4*k + 5*q = 12 + 8. Suppose k = d + 2*d - 2*v - 29, -d + 1 = -5*v. Calculate the lowest common multiple of ((-11)/(-3))/(2/6) and d.", "output": [ "11" ] }, { "id": "task835-2cae7bf6173e4657b5aeba28a23cb8e6", "input": "What is 34/5 of a century in years?", "output": [ "680" ] }, { "id": "task835-32d17542a7114898bdc28aae8aa3a3d1", "input": "Suppose -2*c + 4*j - 30 = 2*j, -5*c = -2*j + 78. Let w be 3/12 + (-12)/c. Solve 2*r = -w - 3 for r.", "output": [ "-2" ] }, { "id": "task835-ba25caccc77c43119d67b9d65f72e866", "input": "((-2)/4)/(4/6)*-8", "output": [ "6" ] }, { "id": "task835-68a5c3abccc14f31b5cb74a33f116627", "input": "Three letters picked without replacement from hhrhhxhxxx. Give prob of picking 1 h, 1 x, and 1 r.", "output": [ "1/6" ] }, { "id": "task835-8659e678158a4d808f262af7622fc537", "input": "Solve 12 = -3*a + 9*a for a.", "output": [ "2" ] }, { "id": "task835-470889e153984500b02a3334a0f50548", "input": "Solve -15*f + 21*f - 12 = 0 for f.", "output": [ "2" ] }, { "id": "task835-af7b77684c614d789744f05d70c1b898", "input": "Solve 19 + 1 = -5*w, -o + 4*w + 18 = 0 for o.", "output": [ "2" ] }, { "id": "task835-6e16bd0876e74b71b49385a77a25323d", "input": "Let h(x) = x - 4. Let y be h(-8). Let w be (-62)/y - 3/18. Solve z = m + 6*z - 3, 2*m + w*z = 1 for m.", "output": [ "-2" ] }, { "id": "task835-64c86749719144cbba7769ea75d2d36d", "input": "Convert 86.607792 microseconds to days.", "output": [ "0.000000001002405" ] }, { "id": "task835-468f6153fcda49c7a8f2d98ba15cf1a3", "input": "Three letters picked without replacement from {j: 2, y: 2, k: 1, u: 4}. Give prob of picking 2 j and 1 u.", "output": [ "1/21" ] }, { "id": "task835-3a3af07ade95447cb7df9fd9bdb55d4b", "input": "What is 530.2527 years in centuries?", "output": [ "5.302527" ] }, { "id": "task835-c7197fe62c6b40e88969b8c4d382a592", "input": "Solve 0 = 11*w + 15 + 29 for w.", "output": [ "-4" ] }, { "id": "task835-4490e7c49b394f418795b6e5d4ff5472", "input": "Calculate -39 - 1459.", "output": [ "-1498" ] }, { "id": "task835-d2d86d787c98479a8fadab5cfc25364d", "input": "What is 6072 divided by 12?", "output": [ "506" ] }, { "id": "task835-88daf6fb82a24a33964a68349408dc3a", "input": "Let a(g) = g**3 - 2*g**2 + g - 2. Let v be a(3). Let x = v + 15. What is the units digit of x?", "output": [ "5" ] }, { "id": "task835-5298c63870874ef5a5b3f5f372fb0a32", "input": "Calculate prob of sequence yypp when four letters picked without replacement from {p: 4, y: 6}.", "output": [ "1/14" ] }, { "id": "task835-6e85ce9537554f91838b5b5ba63e0035", "input": "Suppose 5*z - 21 = -0*z + 4*c, 0 = -3*z + 2*c + 11. Calculate the greatest common factor of 8 and z.", "output": [ "1" ] }, { "id": "task835-f25331ac3e514fbd8ebdebe00a7e1887", "input": "What is 18880 to the power of 1/2, to the nearest integer?", "output": [ "137" ] }, { "id": "task835-bc4acc640e7c45e4a8b8922684f41eb3", "input": "What is prob of sequence ln when two letters picked without replacement from olaoonl?", "output": [ "1/21" ] }, { "id": "task835-19e99d34784f4926b877afd9ecbf27ab", "input": "Let y be (1 - -1)/(-1) + -25. What is the common denominator of 117/10 and (y/(-30))/((-9)/(-111))?", "output": [ "10" ] }, { "id": "task835-5876e9982be546bfa796df9896e79ac9", "input": "Let l = 17 + -7. Let z = 29 - l. Solve z = -5*r - 1 for r.", "output": [ "-4" ] }, { "id": "task835-f6c7b6d32b764b34b3936d92ee5a7aa8", "input": "Let y be -6 + 56 - 1*-2. Let h(k) = k**3 + 6*k**2 - k + 7. Let l be h(-6). What is the greatest common factor of y and l?", "output": [ "13" ] }, { "id": "task835-92263e2f8a984660b5c3095f3f840752", "input": "Let g be 2 + (-1)/1 + 6. Let t = -95 + g. What is the units digit of t/(-12) - 1/3?", "output": [ "7" ] }, { "id": "task835-9550121db7774b46ba5e0aee6a024ccc", "input": "What is prob of picking 1 k and 1 e when two letters picked without replacement from {i: 1, w: 1, k: 1, z: 1, e: 1}?", "output": [ "1/10" ] }, { "id": "task835-4174f9829a6444b5955b07623b281628", "input": "Solve 23 - 3 = -2*u + 2*r, 4*u - 5 = -5*r for u.", "output": [ "-5" ] }, { "id": "task835-956e81e29c604aa7b1d0eb3c3f624f09", "input": "Work out 225007 - 2.", "output": [ "225005" ] }, { "id": "task835-f66c443b860a4a37a7407d48ae534d41", "input": "Solve -77*h + 1000 = -177*h for h.", "output": [ "-10" ] }, { "id": "task835-51df771079f54c0791ea46486c0eba1e", "input": "Suppose 4*q - 4*k + 24 = 0, 5*q + k + 2 = -k. Calculate the remainder when 40 is divided by (q - 0 - 0) + 16.", "output": [ "12" ] }, { "id": "task835-036693f78d3c43609c18457863678301", "input": "How many micrometers are there in 15/4 of a millimeter?", "output": [ "3750" ] }, { "id": "task835-51861bc9280940698e7884e929b7c939", "input": "What is -279 divided by -3?", "output": [ "93" ] }, { "id": "task835-6bb20265e2634683a75fe813a78240fb", "input": "Suppose 2*z + 3*c = 6, -52 = -4*z + c + 3*c. Solve 2*m + m + z = 0 for m.", "output": [ "-3" ] }, { "id": "task835-b9da80b160b145dc9ad9d2c5fa0a40c3", "input": "Calculate (3/(-6))/(33/(-44)).", "output": [ "2/3" ] }, { "id": "task835-cf70046a630b4e25b54094105377dec8", "input": "Solve 116*c - 114*c - 4 = 0 for c.", "output": [ "2" ] }, { "id": "task835-47f969bdc9984cd3bc58e9be7bcdbd5d", "input": "Calculate prob of picking 1 w, 1 u, 1 y, and 1 l when four letters picked without replacement from {l: 2, y: 4, i: 2, u: 1, w: 1, q: 7}.", "output": [ "2/595" ] }, { "id": "task835-077d87c891d440f7a0d4e5ad35c25557", "input": "Let u = -28 - -6. Let n = -9 - u. What is the highest common divisor of n and 13?", "output": [ "13" ] }, { "id": "task835-fea7cfedb15b48f2a43f1505ba159bcb", "input": "Let a be (3/(-8))/(-1) + 1. Let g = -4 - 4. Let o = g + a. Calculate the common denominator of 101/6 and o.", "output": [ "24" ] }, { "id": "task835-ffee51f0469e4f6db5616a12803764a9", "input": "Let f(p) = 5*p**3 - p**2 + p - 1. Let b be f(1). Suppose -2*u + 2*y = 3*u - 10, -b*u - 3*y - 15 = 0. Solve u = 4*j - 3*j for j.", "output": [ "0" ] }, { "id": "task835-21be411edfbe495db0f33fa2a651496a", "input": "How many milligrams are there in sixty-four fifths of a gram?", "output": [ "12800" ] }, { "id": "task835-c7f8c12dd7584146a6046b76c5286fdc", "input": "Add 0.2 and 52.3.", "output": [ "52.5" ] }, { "id": "task835-bfd43409d62c42f899128957f5516c67", "input": "Calculate prob of sequence xd when two letters picked without replacement from {d: 2, z: 5, x: 1, v: 11}.", "output": [ "1/171" ] }, { "id": "task835-a9a63146d5264240bede860dfd1cda4c", "input": "Let a(z) = -2*z - 14. Let t be a(-7). Solve t*r + 2*r - 4*h + 10 = 0, 5*r - 3*h + 18 = 0 for r.", "output": [ "-3" ] }, { "id": "task835-6076ecd956f54357afbada01fc47c321", "input": "What is prob of picking 1 z, 2 s, and 1 p when four letters picked without replacement from {s: 2, p: 2, z: 4, f: 5, c: 4}?", "output": [ "2/595" ] }, { "id": "task835-9d2cedf40bfc458d9044998e1e5f5c78", "input": "Solve 114 = -2*j - 5*c + 142, 23 = -5*j + 3*c for j.", "output": [ "-1" ] }, { "id": "task835-12f7fb70c8264ba0b408d62c9ae2114d", "input": "Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fdffdffdffdd.", "output": [ "35/66" ] }, { "id": "task835-890c036954284ef48edcdd43d55cb035", "input": "How many grams are there in sixty-four fifths of a kilogram?", "output": [ "12800" ] }, { "id": "task835-b38eb197e89a4643a2c8a191cc321cdc", "input": "How many minutes are there in five eighths of a day?", "output": [ "900" ] }, { "id": "task835-bf7fa106d5f741858a85ab5bd8aad278", "input": "What is prob of picking 2 s when two letters picked without replacement from {d: 2, n: 2, w: 1, c: 5, f: 2, s: 2}?", "output": [ "1/91" ] }, { "id": "task835-41998a7a34c84cfeba2effb54a4384d5", "input": "Three letters picked without replacement from aanoaooonoaoa. What is prob of sequence nna?", "output": [ "5/858" ] }, { "id": "task835-81fb2d12522b468eae6b4185f58d8c42", "input": "Four letters picked without replacement from {v: 2, x: 3, q: 7}. What is prob of sequence xvqq?", "output": [ "7/330" ] }, { "id": "task835-aaf9814a0ee24dcca0e848cb53b9b2be", "input": "How many litres are there in 0.9380185 millilitres?", "output": [ "0.0009380185" ] }, { "id": "task835-c4d51a3aad5d47d6b1734682e99ae618", "input": "Let k be (3 + 3 + (2 - 23))*-2. Calculate the highest common divisor of 330 and k.", "output": [ "30" ] }, { "id": "task835-3f65e90351124b1cb2df2b82c2843690", "input": "What is one fifth of a litre in millilitres?", "output": [ "200" ] }, { "id": "task835-6bee5aab8d694c30937a4b22dc00793a", "input": "Solve 0 = 5*o - 3*r, 0 = -26*o + 29*o - 4*r for o.", "output": [ "0" ] }, { "id": "task835-041d6e44bb0e4606a76fc7f962224ef2", "input": "What is the third root of 144446 to the nearest integer?", "output": [ "52" ] }, { "id": "task835-de7059a9073b40f7b0688ca1a0419e3c", "input": "What is 1/10 of a litre in millilitres?", "output": [ "100" ] }, { "id": "task835-1b3374d40fac467dbeb5c8733424478d", "input": "Suppose -16 = l - 18. Solve -4*h + l*h = 0 for h.", "output": [ "0" ] }, { "id": "task835-5a9d3cac8ce644aca0acaabc12874fe4", "input": "Two letters picked without replacement from bbrrnbbrrxbr. Give prob of picking 2 r.", "output": [ "5/33" ] }, { "id": "task835-d1de11da123047169704f38354eada4d", "input": "What is the value of 31/(-4) + (-432)/(-54)?", "output": [ "1/4" ] }, { "id": "task835-74065c6fdd24459989a7065fde95baa2", "input": "What is next in 85, 84, 83, 82?", "output": [ "81" ] }, { "id": "task835-cbe51ec97b704b1e9e34c366152430c9", "input": "Two letters picked without replacement from fxvffzzgzffzzgffxz. Give prob of sequence fv.", "output": [ "7/306" ] }, { "id": "task835-43a63a8f9f90496faf9f0cc0931fb4cc", "input": "Let x be 3*-2 + (-6)/6. Let j = -4 - x. Suppose 15 - 60 = -j*y. What is the units digit of y?", "output": [ "5" ] }, { "id": "task835-cf0fe05812f74334b3526dd44355aee3", "input": "Evaluate (-1)/4 - (-6 - (-188)/32).", "output": [ "-1/8" ] }, { "id": "task835-e3e6b186e0a446c88e055a9d317d2964", "input": "Suppose -5 = -5*u - 0. Calculate the remainder when (-180)/(-3) + 0 + u is divided by 16.", "output": [ "13" ] }, { "id": "task835-13986d15f709449a9a6366895ab971b3", "input": "Let j = 16 + 1. Solve -5*r + 8 = -j for r.", "output": [ "5" ] }, { "id": "task835-3f04c39e59854d69ad9f2f14b0b8b987", "input": "What is 1.303416 centimeters in nanometers?", "output": [ "13034160" ] }, { "id": "task835-ff5c636fe31c4359b0020d6f1560fa2f", "input": "Let i be (-28)/(-10)*(0 - -25). Let z be (-1 + 0)*1 + i. Let n = z + -41. Solve -3*y + n = 5*m - 2*y, -3*m + 2*y = -9 for m.", "output": [ "5" ] }, { "id": "task835-77fbc15a6eef456bb5da0c54fd325f7a", "input": "Two letters picked without replacement from {f: 3, q: 2, s: 2, w: 6, j: 1, y: 1}. Give prob of sequence wy.", "output": [ "1/35" ] }, { "id": "task835-57f8d7e88a3a42389cfa03cc5baf36fa", "input": "What comes next: -591, -611, -617, -603, -563, -491?", "output": [ "-381" ] }, { "id": "task835-9b3c8b05a4694d818bbc52618ea92155", "input": "What is 2 + -10 + 1 - (-11 + 8)?", "output": [ "-4" ] }, { "id": "task835-553f5f450fde416d82c861892264cb5a", "input": "Let z be (0 - 6)/(-2) - -123. What is the highest common factor of z and 14?", "output": [ "14" ] }, { "id": "task835-a7e31a7cdf3743f89b49c5de93c1cbc1", "input": "What is prob of sequence ov when two letters picked without replacement from {v: 1, o: 3}?", "output": [ "1/4" ] }, { "id": "task835-90747e35813f4e088a7878058aee1d8d", "input": "How many millilitres are there in 26/5 of a litre?", "output": [ "5200" ] }, { "id": "task835-a78f162022604dfb890794ad94341ab5", "input": "Suppose 0*c = 3*c - 5*w - 11, -2*w - 2 = -2*c. Let x = 2 - c. What is the remainder when 19 is divided by x?", "output": [ "4" ] }, { "id": "task835-52e948660e024dd1b255d68b27214b26", "input": "Calculate prob of sequence kkw when three letters picked without replacement from wwkkwkwwwwkkwwww.", "output": [ "11/168" ] }, { "id": "task835-2789a662721d470dac392497f792b4f8", "input": "Four letters picked without replacement from {q: 9, i: 2, e: 8}. What is prob of sequence eqii?", "output": [ "1/646" ] }, { "id": "task835-e9c160944cb3410a81cd638d22647be4", "input": "What is 42.1157 centimeters in micrometers?", "output": [ "421157" ] }, { "id": "task835-f4231bacde0a41a9b8c1c771ddb990b9", "input": "In base 14, what is -59c - 3?", "output": [ "-5a1" ] }, { "id": "task835-36200d12cc8e4bb2b73952b04ad242d7", "input": "Product of -0.4 and -0.558.", "output": [ "0.2232" ] }, { "id": "task835-9e335bf34c9a4b76a102a88542f088e2", "input": "What is one fifth of a decade in months?", "output": [ "24" ] }, { "id": "task835-7506cc3943244da1a99fc1dca07ee8e1", "input": "What comes next: 19, 16, 25, 58, 127?", "output": [ "244" ] }, { "id": "task835-b4f2f33393684c598aa0c0aeac129305", "input": "What is 3.03667 weeks in hours?", "output": [ "510.16056" ] }, { "id": "task835-94a192ce6f1e4c019619849bbdb0ca09", "input": "What comes next: 12, 22, 22, 6, -32, -98, -198, -338?", "output": [ "-524" ] }, { "id": "task835-92b177deb47342d1adf4953408fbd6f3", "input": "What is the next term in 2506, 5011, 7516, 10021, 12526, 15031?", "output": [ "17536" ] }, { "id": "task835-1df25640c7d747fcaa762cc7013bda03", "input": "Let i be 1 - -1 - 0 - -2. Suppose -i*q - 9 = -7*q. Solve -4*l + 3*w = l - 1, q*w = -6 for l.", "output": [ "-1" ] }, { "id": "task835-9eaea6879d364844ab8f8a6661b111c2", "input": "Suppose 2*x - 10 = -2. Let t(f) = -f**3 + 5*f**2 - 2*f - 6. Let m be t(x). Solve u - 5 = m*u, b + 4*u = -24 for b.", "output": [ "-4" ] }, { "id": "task835-b49eb6531f304e74b0f9ef190f3a12d4", "input": "Divide 17 by -12.", "output": [ "-17/12" ] }, { "id": "task835-18f6593a71424b4f8a6f16354b9ab74e", "input": "What is prob of sequence teb when three letters picked without replacement from rtbertebrbbddrdte?", "output": [ "3/340" ] }, { "id": "task835-71c0bd91fa784ee7895c456f764587c1", "input": "How many nanograms are there in 10242.21mg?", "output": [ "10242210000" ] }, { "id": "task835-bb1b71fef29a41e0b5cdb18482f4e19c", "input": "Let z be ((-6)/4)/(3/(-6)). Let j(g) = -g**3 + 3*g**2 + g - 3. Let x be j(3). Let m be (-5 + x)*3/(-5). Solve 6*c - c = 5, -3*c + m = z*r for r.", "output": [ "0" ] }, { "id": "task835-fd7d3a7756b74589b22efbbc9e47e31e", "input": "Let s(d) = 4*d**3 - 2*d**2 - 3*d + 7. Let h be s(3). Calculate the highest common factor of 4 and h.", "output": [ "4" ] }, { "id": "task835-afeaea82a6ff4b2d9f865745f0d18c39", "input": "What is ((-3198)/228 - -14)*4?", "output": [ "-2/19" ] }, { "id": "task835-3f0a39ae8f784782b18d0e3366ba2790", "input": "Let f(c) = 16*c + 1. Let d = 1 + -6. Let z be (0 - -1) + (d - -5). Calculate the remainder when 49 is divided by f(z).", "output": [ "15" ] }, { "id": "task835-077f31bb5c184774ae03adddf8aaa02f", "input": "In base 14, what is -5 - 1163?", "output": [ "-1168" ] }, { "id": "task835-3ddc00c6e6394e5d935053513718a771", "input": "What is 21/4 of a tonne in kilograms?", "output": [ "5250" ] }, { "id": "task835-fc53467e53fc42ea9c1ad215cb835a21", "input": "What is six fifths of a microgram in nanograms?", "output": [ "1200" ] }, { "id": "task835-d86acf5a8f914d998bc4d865787f2b9f", "input": "Let c = -4 - -6. Suppose -3*p + c*t = -7*p + 26, 3*t - 29 = -4*p. What is the smallest common multiple of (-22)/(-6) + (-1)/(-3) and p?", "output": [ "20" ] }, { "id": "task835-c51a2b1dfe08473db25f63db187aa0e3", "input": "What is 601 less than -92.9?", "output": [ "-693.9" ] }, { "id": "task835-e906c28bbebb4bbbbb05a2ee1fe550e2", "input": "Two letters picked without replacement from {u: 3, x: 8}. Give prob of sequence uu.", "output": [ "3/55" ] }, { "id": "task835-cc6c0f15a2064f9287ec9e4b08e98d3f", "input": "Calculate prob of sequence kbal when four letters picked without replacement from {k: 2, l: 1, a: 4, b: 2, m: 1}.", "output": [ "1/315" ] }, { "id": "task835-e7c7d83046cd4675968269ec24c1dafb", "input": "What is 6949.914 kilometers in meters?", "output": [ "6949914" ] }, { "id": "task835-257d66720e984620a8925ac86d1b61a1", "input": "Suppose -80 + 0 = -l. Suppose -t - 4*t + l = 0. What is the units digit of t?", "output": [ "6" ] }, { "id": "task835-429f89ea29844f7ebfdacc47af9dbfd4", "input": "Solve 4*h - 4*d + 13 - 9 = 0, 5*h = -d - 5 for h.", "output": [ "-1" ] }, { "id": "task835-4983ca17160b4ecd82d4fbf235b51487", "input": "Two letters picked without replacement from {p: 10, c: 4}. Give prob of sequence pp.", "output": [ "45/91" ] }, { "id": "task835-1188ed2578444428aa4388edb04cb2f2", "input": "Let i(c) = -c**3 + 5*c**2 + 5*c + 6. Let r be i(6). Suppose 5*p = 10 + 5. Solve 5*b + z = 13, r = 5*b - p*z - z - 23 for b.", "output": [ "3" ] }, { "id": "task835-de49cc61918045939f2ae962ca2f40a5", "input": "Suppose 3*h = -d - 598, 0 = 7*h - 2*h + d + 998. Let t = 299 + h. Suppose 15 = 2*q - 7. Calculate the greatest common factor of t and q.", "output": [ "11" ] }, { "id": "task835-a78afbce948749dbb362f88835491676", "input": "Convert 9658.005 millilitres to litres.", "output": [ "9.658005" ] }, { "id": "task835-a12dc5c1267e4dcd9259016ed48e06c3", "input": "What is prob of picking 3 w when three letters picked without replacement from wsssssswswssswwssw?", "output": [ "5/204" ] }, { "id": "task835-91ed9d5c79dc47a5907b101ea4483e2a", "input": "Suppose 0 = -4*q + 12 - 4. Let h(z) = -2 - z - z + z**2 + 4*z**2 - 3*z**2. What is the remainder when h(q) is divided by 2?", "output": [ "0" ] }, { "id": "task835-5c1bc75565924ae5b687e328fdb50e20", "input": "What is 3.561788l in millilitres?", "output": [ "3561.788" ] }, { "id": "task835-c59358a3e9ff43faa7ae4c46337a1703", "input": "Suppose 0*k - 30 = -2*k. What is the units digit of (k/(-6))/(3/(-6))?", "output": [ "5" ] }, { "id": "task835-901fed4947b049999b83209aa3291825", "input": "What is the value of ((-14)/(-30))/(41/205)*1?", "output": [ "7/3" ] }, { "id": "task835-cb6e53be9182459492d5322c3e3c28ff", "input": "What is prob of picking 3 k and 1 x when four letters picked without replacement from mxcmmmkffkkwkc?", "output": [ "4/1001" ] }, { "id": "task835-7c57e423f9af4888b1f8b6084fef7afa", "input": "What is prob of sequence yp when two letters picked without replacement from ppypppnppnyyny?", "output": [ "2/13" ] }, { "id": "task835-c9be4768828d4e94bbcbd42d41370541", "input": "Calculate the smallest common multiple of -5 + (-21)/(-4) - 262/(-8) and 24.", "output": [ "264" ] }, { "id": "task835-a1e39e43f903435c8929486af70ccd1d", "input": "Let p = 182843/22 + -8316. Calculate the common denominator of 70/32 - (1 + -1) and p.", "output": [ "176" ] }, { "id": "task835-c9cec085aae74ec7a97548d1f41a3543", "input": "Solve -q - 4*r = -21, -16 = -3*q - 5*r + 12 for q.", "output": [ "1" ] }, { "id": "task835-9e9204d4d595449d9c012db1f587be79", "input": "Calculate prob of picking 1 a and 1 g when two letters picked without replacement from aaag.", "output": [ "1/2" ] }, { "id": "task835-5510468859f9405ab861c779d5e81971", "input": "Let h(i) = 29*i + 2. Calculate the remainder when 122 is divided by h(1).", "output": [ "29" ] }, { "id": "task835-f9af548488af40639485de5f906c23a3", "input": "How many hours are there in three eighths of a week?", "output": [ "63" ] }, { "id": "task835-99b1c9fd8ba043858b6820c2afb71f8b", "input": "Solve -1 = -3*m + 18*h - 22*h, 2*h = 3*m + 23 for m.", "output": [ "-5" ] }, { "id": "task835-879c2f6a550741919c0f13ae5b21da16", "input": "Let k be 3/(-2)*(-72)/27. Solve k*w - 6 = w for w.", "output": [ "2" ] }, { "id": "task835-ad262f7862af476584ba4181d933eb39", "input": "How many nanoseconds are there in 473119.7 weeks?", "output": [ "286142794560000000000" ] }, { "id": "task835-adf3a00c8a774343ad35c5d6dd3b5217", "input": "Let z(n) = n**2 + 14*n + 18. What is the units digit of z(-16)?", "output": [ "0" ] }, { "id": "task835-bce840779c454ff2b4bf1324f67039a2", "input": "How many decades are there in 85.98764 centuries?", "output": [ "859.8764" ] }, { "id": "task835-5d8b2348209945eb9534169f2a74c838", "input": "Put together 36.34 and 11.27.", "output": [ "47.61" ] }, { "id": "task835-171ecd5935fc4ebc85894480b1cf9539", "input": "Suppose -27 = g - 70. What is the units digit of g?", "output": [ "3" ] }, { "id": "task835-9f8f000b9e5e45bdadcd8bb4b01fc121", "input": "What is prob of sequence gv when two letters picked without replacement from {g: 4, w: 6, k: 2, y: 4, v: 2, q: 1}?", "output": [ "4/171" ] }, { "id": "task835-56ac290b517147eb8ec526a70cb1b42b", "input": "Suppose 2*w = 7*w - 30. Solve 2*y - 4 = w for y.", "output": [ "5" ] }, { "id": "task835-b3c35d609ae94e8aae13da0b84b49b15", "input": "Divide -5056 by 1.", "output": [ "-5056" ] }, { "id": "task835-d13a1c24aa0144d59591e9288a477a85", "input": "How many micrometers are there in five quarters of a centimeter?", "output": [ "12500" ] }, { "id": "task835-2f55958528bb4e7ca91d7fdd8bd7c371", "input": "What is eleven quarters of a microgram in nanograms?", "output": [ "2750" ] }, { "id": "task835-aa1c816cebda443eb1a9579dbe81fc85", "input": "What comes next: -91, -184, -277?", "output": [ "-370" ] }, { "id": "task835-9d17dec4731c4539b50aedf61d346b28", "input": "Let t = 91 + -89. Solve 4*s = 14 - t for s.", "output": [ "3" ] }, { "id": "task835-3839c6d43e364d1caf9b3d09d103d617", "input": "Suppose -2*g + 3*w = 0, 4*w + 0*w = -4*g + 20. Let a(p) = 2*p + 1. Let m be a(g). Let b be (-764)/(-36) - 4/18. What is the highest common divisor of b and m?", "output": [ "7" ] }, { "id": "task835-626e15e881f044edade0630529594d00", "input": "Solve -b - 2*q = 2*q + 21, 2*q - 17 = 5*b for b.", "output": [ "-5" ] }, { "id": "task835-6b186dd89d1241109f02f375c25836d9", "input": "1287 divided by -1", "output": [ "-1287" ] }, { "id": "task835-756e604e9da1441badcd9c27953a39fe", "input": "Solve -4*f - 56 = -40 for f.", "output": [ "-4" ] }, { "id": "task835-1633428ca1fa4a8dad1f747ec8abfa4a", "input": "Suppose i + 0*m - 2*m - 2 = 0, 3*i = -4*m + 26. Suppose 0 = d - 5*c - 7, -i*c = -d - 2*c + 8. What is the units digit of d?", "output": [ "2" ] }, { "id": "task835-e2c2029656cd49afb33e45888fc465b3", "input": "Suppose -106 = -2*u + s, u - 40 = -5*s + 13. Calculate the remainder when u is divided by 14.", "output": [ "11" ] }, { "id": "task835-fe98f60728534a8f82843443a10ee11c", "input": "What comes next: -15, -40, -83, -144, -223, -320?", "output": [ "-435" ] }, { "id": "task835-25daf813061d4c248d11d6a95bde6b5f", "input": "Two letters picked without replacement from oiooziozioi. What is prob of picking 1 o and 1 z?", "output": [ "2/11" ] }, { "id": "task835-6062f715b34c4f8fb0922abb46aafb95", "input": "Three letters picked without replacement from mmmpmmmmpmmpmmmmmpmm. Give prob of picking 3 p.", "output": [ "1/285" ] }, { "id": "task835-3d5d204ba21540a79427a208b9664975", "input": "What is 88/5 of a minute in seconds?", "output": [ "1056" ] }, { "id": "task835-5c5b365d1de347e5b36f9416a508bc18", "input": "Three letters picked without replacement from {i: 3, b: 3, a: 1, o: 2, y: 1, g: 1}. Give prob of sequence bbi.", "output": [ "1/55" ] }, { "id": "task835-69eaff1b83e84882b277a8ae777b68c3", "input": "Solve 30 - 9 = 7*t for t.", "output": [ "3" ] }, { "id": "task835-de582497205f45a199f4d3ec1b59e4dd", "input": "How many millimeters are there in 11/10 of a centimeter?", "output": [ "11" ] }, { "id": "task835-bbe92713d72f4ed9bde3b0ee4b367f6b", "input": "9 - -5279", "output": [ "5288" ] }, { "id": "task835-952d180c201b40d78738d45a17c80482", "input": "What comes next: -6, -4, -4, -6, -10, -16?", "output": [ "-24" ] }, { "id": "task835-c2090a67ccb145daab117bb5068f30cc", "input": "What is next in -31283, -62565, -93847, -125129, -156411?", "output": [ "-187693" ] }, { "id": "task835-58f04c4b243e4f5ab799f4f9fd54f6a2", "input": "How many millilitres are there in 134.8269l?", "output": [ "134826.9" ] }, { "id": "task835-1039ec8420a445ad91406b5c23c5c2e2", "input": "What is -1 + -2 + 5 + 2 + -3?", "output": [ "1" ] }, { "id": "task835-f24526bfb4d44beebf655ac3b8be7ca9", "input": "Four letters picked without replacement from oikkxxooxkoxkxk. What is prob of picking 4 x?", "output": [ "1/273" ] }, { "id": "task835-8c009eb2f5df4fd9a88f754e08559903", "input": "Let h be 4/6*(2 + 1). Suppose -h*o + 3 = -o. What is the remainder when 12 - (1 + 4 + -1) is divided by o?", "output": [ "2" ] }, { "id": "task835-10608fcc0862463da3e98f4c10a9948a", "input": "Evaluate -5 + -4 + 13 + (-2 - -2).", "output": [ "4" ] }, { "id": "task835-73422090cf94474bbcf19e6475874a60", "input": "Let u(q) = -q**2 - 6*q - 3. Let s be u(-2). Suppose -p + 3 + 0 = 0, 315 = s*h + 5*p. Calculate the highest common divisor of 40 and h.", "output": [ "20" ] }, { "id": "task835-ceb8a0b4a1b94879b8f929ad56f0d632", "input": "Sum 259 and -46.", "output": [ "213" ] }, { "id": "task835-cd3a1317bd9b46a6b2fdedc01ae4ad42", "input": "Convert 8.958269 kilometers to centimeters.", "output": [ "895826.9" ] }, { "id": "task835-80dec92c83a145c7bbc42a4a1a78af96", "input": "What is 3/8 of a milligram in micrograms?", "output": [ "375" ] }, { "id": "task835-0ac485949f364814b057c59c05981885", "input": "What is 12/7 of a week in hours?", "output": [ "288" ] }, { "id": "task835-a5b2070062ce4b729ee0f1b059a84914", "input": "How many millilitres are there in 17/2 of a litre?", "output": [ "8500" ] }, { "id": "task835-b6d9fbc6d62348ca9d979e633c0fd000", "input": "What comes next: -145, -586, -1321, -2350, -3673?", "output": [ "-5290" ] }, { "id": "task835-9cfe8a934cf6434eb9d8ef8a653af2ec", "input": "(-3 - 2) + -1 + 0 + 1", "output": [ "-5" ] }, { "id": "task835-e00edddb87a14161bd09af6c6ecfe12d", "input": "Let i(v) = 4*v - 4. Let m be i(6). Solve 6*k - k = m for k.", "output": [ "4" ] }, { "id": "task835-90383ef61d844a8c86dcd239a3b1adc4", "input": "How many millilitres are there in 25/8 of a litre?", "output": [ "3125" ] }, { "id": "task835-9c875450f0af4c059b78d9107e1fb69b", "input": "What is next in 40, 52, 72, 100, 136?", "output": [ "180" ] }, { "id": "task835-ddbdb9691abb431caa8491ec44bd0956", "input": "Let v(g) be the third derivative of g**5/60 - g**4/8 + 5*g**3/6 + 2*g**2. Suppose 2 = -3*f + 14. What is the units digit of v(f)?", "output": [ "9" ] }, { "id": "task835-30589e2fe1854d3ab7dab876b75dc36d", "input": "How many millimeters are there in 52138.89 kilometers?", "output": [ "52138890000" ] }, { "id": "task835-7d39ab9bde284840977487854116019d", "input": "What is (-92)/14 + (-180)/(-315)?", "output": [ "-6" ] }, { "id": "task835-40f0558376194d71a7338434f367769d", "input": "Suppose 277 = 4*x + 5*w, -x - 3*w + 70 = -8. What is the units digit of x?", "output": [ "3" ] }, { "id": "task835-39a79d0610064bfc8a668fc9f13333c2", "input": "Three letters picked without replacement from arakaarabayassasraa. What is prob of sequence aya?", "output": [ "5/323" ] }, { "id": "task835-0838237a5abf40c88b11599fa8ea5e29", "input": "Three letters picked without replacement from lqqrlqqlqrqpqpppq. What is prob of sequence lrp?", "output": [ "1/170" ] }, { "id": "task835-8451811c6c2346ff86cba016e8308b08", "input": "Let q(r) = -11*r - 2. Let y be q(-2). Let n = y - 6. What is the highest common factor of n and 70?", "output": [ "14" ] }, { "id": "task835-4605cb458eed42919b3e91e85a06b320", "input": "What is the value of (47 - 40) + -9 + 0?", "output": [ "-2" ] }, { "id": "task835-c27c0b1bc7544fe18fc9f7d67fdbce90", "input": "Suppose 2*d = -4*x - d - 6, 0 = -x + d + 2. Solve -2*h = -x*h for h.", "output": [ "0" ] }, { "id": "task835-473c2da9b70a4665be1a26f2fb050013", "input": "Let j be 2 + (1 - -20 - -1). Suppose 0 = 2*h + 4*n - j, n + 2*n - 15 = 0. Let r = -46 - -51. Solve r*q + 1 = -0*q + x, 0 = h*q + 4*x - 4 for q.", "output": [ "0" ] }, { "id": "task835-ae42730f31d14d3caa427b52f3ced604", "input": "What is 5631 to the power of 1/2, to the nearest integer?", "output": [ "75" ] }, { "id": "task835-d4c820bfa8e24e34ba777b3ae7e89ea9", "input": "Two letters picked without replacement from eeaa. Give prob of picking 1 e and 1 a.", "output": [ "2/3" ] }, { "id": "task835-5a2310a68ea945f28aa8ac53104af6d9", "input": "How many minutes are there in eleven halves of a day?", "output": [ "7920" ] }, { "id": "task835-5c945500362b495897fed3600e55a548", "input": "What is the value of (-10)/10 - (-12)/6?", "output": [ "1" ] }, { "id": "task835-6aa9f159b2cb4989b2733dc9f7bce275", "input": "What is thirteen eighths of a litre in millilitres?", "output": [ "1625" ] }, { "id": "task835-ddd8fc5704af499a8c73f44adfa86baf", "input": "Let k(a) = 0 - 3*a + 0. Let y be k(-2). Let r = -5 + 6. Solve -5*x + y = r for x.", "output": [ "1" ] }, { "id": "task835-fb73c100deb04d118b7f86c554430707", "input": "How many weeks are there in 62.6479056 minutes?", "output": [ "0.00621507" ] }, { "id": "task835-1f373c0941f943dbb4f7e6de3eb4a849", "input": "Multiply -0.096 and -6.", "output": [ "0.576" ] }, { "id": "task835-bfc1a4377b1c435b851bca6a0f1a4adf", "input": "What is 976.2226ml in litres?", "output": [ "0.9762226" ] }, { "id": "task835-c7ff25310e684abf944c0f1f2b54a1c2", "input": "What is 1056 to the power of 1/2, to the nearest integer?", "output": [ "32" ] }, { "id": "task835-38a94812a5974cbfa7842476dffbffbf", "input": "Calculate prob of picking 2 c and 2 u when four letters picked without replacement from {u: 2, c: 4}.", "output": [ "2/5" ] }, { "id": "task835-068419d1bd7f4f0cb69714a6471bf203", "input": "Let d be (0 - 1)/((-1)/7). Let t = 2 + -1. Let b be -4 + 2 + d/t. Solve 2*m = b*z + 4, -m + 2*z - 5 = 3*z for m.", "output": [ "-3" ] }, { "id": "task835-e583a2ce68ed40ee9e1ebe5423822482", "input": "What comes next: -40, -72, -102, -136, -180, -240?", "output": [ "-322" ] }, { "id": "task835-4c91773a94104affb2e44d21b659acfa", "input": "Product of -0.6351 and -2.", "output": [ "1.2702" ] }, { "id": "task835-46d5ae5bf1ae49808e0e3b131ee84b1b", "input": "Let n = -25 + 41. Let l = 27 + n. What is the remainder when l is divided by 11?", "output": [ "10" ] }, { "id": "task835-7a424069b977459682d82ea9cde20366", "input": "How many years are there in 263741.25 months?", "output": [ "21978.4375" ] }, { "id": "task835-abf37cd3546245cf80b9b639d682b45b", "input": "Three letters picked without replacement from nnsggb. Give prob of picking 2 g and 1 n.", "output": [ "1/10" ] }, { "id": "task835-85a7aa6ff66c4c5ab00ec4c789a5a27f", "input": "Two letters picked without replacement from iffikfdkiiifikkfk. Give prob of picking 1 k and 1 f.", "output": [ "25/136" ] }, { "id": "task835-d56f3ed38df1454289d9202e9822e142", "input": "What is the square root of 1926 to the nearest integer?", "output": [ "44" ] }, { "id": "task835-604346198865423b9d1d00d4cc897d42", "input": "Let y(a) = 3*a. Let g be y(5). Suppose -4*h + 9*h + 2*b + g = 0, 0 = b + 5. What is the units digit of 1/(h + (-18)/(-16))?", "output": [ "8" ] }, { "id": "task835-a7b1f87a41334ff18c060e6d20cde3e1", "input": "Two letters picked without replacement from {f: 3, t: 10, j: 1, d: 2, v: 1, x: 2}. What is prob of sequence vd?", "output": [ "1/171" ] }, { "id": "task835-aab1a6f2aa944734b974d5a148f3195e", "input": "Two letters picked without replacement from {g: 8, d: 2, v: 8}. What is prob of picking 1 g and 1 v?", "output": [ "64/153" ] }, { "id": "task835-9f6520a3244449c083a44ae94612419f", "input": "Suppose -10*i = -11*i - 22. Let p = i - -74. Let g(x) = x**3 - 2*x**2 - 5*x + 1. Let k be g(4). What is the greatest common divisor of k and p?", "output": [ "13" ] }, { "id": "task835-b393b3b5b0d8449a8adc7e398b688b67", "input": "How many milliseconds are there in fifty-three fifths of a second?", "output": [ "10600" ] }, { "id": "task835-10442c063f1e47799a78bdd83cf12fba", "input": "Solve 1 = q + 5*s, -39*s = -3*q - 37*s + 3 for q.", "output": [ "1" ] }, { "id": "task835-3a2ab84d9f8d457e8914c6a75d41341d", "input": "Suppose 4*y = -20, 3*a + 2*y - 295 = 4*y. What is the tens digit of a?", "output": [ "9" ] }, { "id": "task835-6d794585eda74e4199ea12ab89b73072", "input": "What is the next term in 11, 4, -9, -28, -53?", "output": [ "-84" ] }, { "id": "task835-22c474e3b86b483d825fc9660d232023", "input": "Three letters picked without replacement from {i: 10, r: 4, c: 1, u: 2, t: 1}. Give prob of sequence itc.", "output": [ "5/2448" ] }, { "id": "task835-c946f3f15c714dce9529a76e46e68561", "input": "Two letters picked without replacement from kkxzkkxkkkkkkk. What is prob of sequence xx?", "output": [ "1/91" ] }, { "id": "task835-972f15017baf46178ae7575aedbef801", "input": "What is prob of picking 1 j, 1 t, and 1 d when three letters picked without replacement from {t: 12, j: 1, d: 5}?", "output": [ "5/68" ] }, { "id": "task835-f5af85b92e9f4b7cba4a43bb9eb4cc69", "input": "Let u be 92/20 - 2/(-5). Suppose 5*g - 3*y + y = -4, -u*g + 5 = -5*y. What is the least common multiple of 1 and 6/4 - (-1)/g?", "output": [ "1" ] }, { "id": "task835-a8d6e991e3d64bbe938891f25a616a3b", "input": "Two letters picked without replacement from {d: 2, i: 1}. What is prob of picking 2 d?", "output": [ "1/3" ] }, { "id": "task835-806b392a8f00417898cd3ee7aa28fad3", "input": "How many kilometers are there in 90.73232 micrometers?", "output": [ "0.00000009073232" ] }, { "id": "task835-fe7871810edb48d3ae59f9bf7f255650", "input": "How many grams are there in 3764.978 micrograms?", "output": [ "0.003764978" ] }, { "id": "task835-8feb48d5770c4351935526365e1c7dd4", "input": "What is the value of (-8)/(-24) + (-20)/78?", "output": [ "1/13" ] }, { "id": "task835-c9cbc10ed1c7406a9b2f390eac6e0fa2", "input": "How many months are there in 3.948282 years?", "output": [ "47.379384" ] }, { "id": "task835-b9a3966f5b894842bab3fe1ca367246f", "input": "What is 935353.7mm in nanometers?", "output": [ "935353700000" ] }, { "id": "task835-b5b436aed11440cb81e795e2f898e574", "input": "Suppose -3*p + o = -123, 0 = p - 4*o - 0*o - 30. Calculate the remainder when p is divided by (3 - -19)/(1*2).", "output": [ "9" ] }, { "id": "task835-5fb5fedc6a22493ca6f96a386409e0d7", "input": "What is 1538 to the power of 1/2, to the nearest integer?", "output": [ "39" ] }, { "id": "task835-7537cfac7c154c58a441a3d9c5b6677f", "input": "What is -370.49 minus 100?", "output": [ "-470.49" ] }, { "id": "task835-212d7a6bf8a44261898912d93cfcd334", "input": "Suppose 0 = n + 47 - 51. What is the remainder when 34 is divided by n?", "output": [ "2" ] }, { "id": "task835-e8bdb8affc3442d79d4956bad942a0e9", "input": "Let b = 250 + -174. Suppose -3*k = -2 - b. Calculate the remainder when k is divided by 14.", "output": [ "12" ] }, { "id": "task835-6214f84dda8f4908ab8bb84d26600736", "input": "What is 70.93973 litres in millilitres?", "output": [ "70939.73" ] }, { "id": "task835-9fafbfc0dfe74f439ad9a8342f86e608", "input": "How many millilitres are there in fifty-five halves of a litre?", "output": [ "27500" ] }, { "id": "task835-a6578896246944e5869b24c60bd0dd0d", "input": "Calculate 153 + -0.05.", "output": [ "152.95" ] }, { "id": "task835-b61444906b8c4b38ad9fb58333e85123", "input": "Suppose z - 8 - 11 = 4*t, 0 = -4*z - t + 25. Suppose 4 = -l + z. Suppose l*s = 11 + 19. Solve -u - s = u for u.", "output": [ "-5" ] }, { "id": "task835-deaff429c4e74228bc9ab89019b00d94", "input": "What is 0.2 times -137?", "output": [ "-27.4" ] }, { "id": "task835-d1e693f9571141d8bb300ae2509a5590", "input": "How many grams are there in 71/4 of a kilogram?", "output": [ "17750" ] }, { "id": "task835-01c281d9120848b292ee246d82da496f", "input": "What is the sixth root of 12242 to the nearest integer?", "output": [ "5" ] }, { "id": "task835-4dbe2af03f45465f9327c81e3992df6d", "input": "Solve 18*c + 75 = 33*c for c.", "output": [ "5" ] }, { "id": "task835-2f28887ab7a948f09be4ba321c0835e1", "input": "Suppose 13 + 2 = 3*u. Suppose -4*b + 3 = -u. Solve b*z + 3 = z for z.", "output": [ "-3" ] }, { "id": "task835-e16b37eece004733b9a9d11ac8c96347", "input": "Calculate prob of picking 1 j and 1 d when two letters picked without replacement from jhbbhhhjbdb.", "output": [ "2/55" ] }, { "id": "task835-73e492a403f94c119c4e3257716ccd6d", "input": "Two letters picked without replacement from {r: 5, q: 1, m: 5}. What is prob of sequence mq?", "output": [ "1/22" ] }, { "id": "task835-ddf0c47e987849ab835e262c8d05212e", "input": "Calculate prob of sequence rkr when three letters picked without replacement from qkqfqrqqrtfq.", "output": [ "1/660" ] }, { "id": "task835-00858d664cd3439799509a25c515a2a6", "input": "What is three eighths of a tonne in kilograms?", "output": [ "375" ] }, { "id": "task835-8d80e7c63d6448bfba2577d231907977", "input": "Product of 30 and 0.5.", "output": [ "15" ] }, { "id": "task835-3c2548b69d6444e381391ff094c0b997", "input": "What is next in -340, -681, -1022, -1363?", "output": [ "-1704" ] }, { "id": "task835-9c8e168cf8d742d0ad836fe3c641adc8", "input": "Four letters picked without replacement from mekmmkekonmnmmnmmm. Give prob of picking 1 n, 2 m, and 1 k.", "output": [ "9/85" ] }, { "id": "task835-95432b7288c74930aeb0880beb230401", "input": "Let d = -24 - -38. What is the tens digit of d?", "output": [ "1" ] }, { "id": "task835-2c5c209e2373424c96374650cb6d86ce", "input": "Multiply 3 and -17.1.", "output": [ "-51.3" ] }, { "id": "task835-1e3adf872d384460992e285d2a46334a", "input": "What is ((19/8)/19)/(2/12)?", "output": [ "3/4" ] }, { "id": "task835-2e206ae44caf4dacb5f39ae0ddf95ef5", "input": "What is 2859 to the power of 1/7, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-d6af0962e59c4174b0d52e4028c760b4", "input": "What is 143508.645ms in days?", "output": [ "0.0016609796875" ] }, { "id": "task835-fa6fd86388d34732bbb5de6311f5e4eb", "input": "Divide -137 by 1.", "output": [ "-137" ] }, { "id": "task835-e2b031e6f74c4ea6879e7529cf7e7994", "input": "What is the value of (-1)/((-2)/(-5))*4/(-5)?", "output": [ "2" ] }, { "id": "task835-be21f3cc638844d1a015ae35626f82b6", "input": "Four letters picked without replacement from {w: 2, v: 8}. What is prob of picking 4 v?", "output": [ "1/3" ] }, { "id": "task835-dd6d9c8f1cb84be89a7f022865b2ff64", "input": "What is 51397 to the power of 1/3, to the nearest integer?", "output": [ "37" ] }, { "id": "task835-69fa5a2fe8a54cdcb9e87b47ddd06270", "input": "Convert 8.525023ml to litres.", "output": [ "0.008525023" ] }, { "id": "task835-60ed1e81c80d4f3a8ffdcf8a04661d8f", "input": "Suppose 0*f = -4*f. Calculate the remainder when 46 + (-2 + 1)*f is divided by 24.", "output": [ "22" ] }, { "id": "task835-0750a97090264370a21f2e5140b206c3", "input": "Add together -0.08 and 4954.", "output": [ "4953.92" ] }, { "id": "task835-3907e1b6529e4ccdb869e47501cfca58", "input": "Solve -w - 5*c - 13 = 8, 4*w + 5*c = -9 for w.", "output": [ "4" ] }, { "id": "task835-b29df53463214988b65508cc9538c1a1", "input": "In base 6, what is -45 - 135?", "output": [ "-224" ] }, { "id": "task835-234c1a0476e44f1391b39fd2b5faff25", "input": "Solve -12*h + 14 = 2*h for h.", "output": [ "1" ] }, { "id": "task835-7df5704c1f6e4bb39b3493f04f70ac33", "input": "In base 7, what is 1003 + 0?", "output": [ "1003" ] }, { "id": "task835-54676ed85fa04335b65ccad8ec659a39", "input": "What is 5/8 of a microgram in nanograms?", "output": [ "625" ] }, { "id": "task835-24898712f06343c3b66691b9b8327eae", "input": "Let o(v) = -v**3 - 3*v**2 - 4*v - 6. Let u be o(-4). Suppose 3*q + 11 - u = 0. Solve -5*p = f - 4*p - 6, -3*f + 26 = q*p for f.", "output": [ "2" ] }, { "id": "task835-a80a8118d4ed4a89b4c466235bb93c32", "input": "What is prob of picking 2 s when two letters picked without replacement from ybs?", "output": [ "0" ] }, { "id": "task835-0282ac8fb60c4806826c3fecd99d50c3", "input": "Let o be (-7)/(3 + 14/(-4)). Suppose -40 = -3*z + o. Calculate the remainder when 71 is divided by z.", "output": [ "17" ] }, { "id": "task835-76a274b33e4d4b939c4ba60be18fbb50", "input": "-196 divided by 7", "output": [ "-28" ] }, { "id": "task835-b62db897f48943fe9b695f23ab07ab45", "input": "Solve -4*w - 3*d - 14 = 0, 0*w - 3*w - 10 = 2*d for w.", "output": [ "-2" ] }, { "id": "task835-37b3538b57634d3a905a4ca1173ba43a", "input": "Let h(n) = 11*n + 11. Let u(k) = 5*k + 5. Let q(s) = 4*h(s) - 9*u(s). Let p be q(-3). Suppose 32 = a - p*a. What is the common denominator of a and -42?", "output": [ "1" ] }, { "id": "task835-6f039f11fc9c4d9eb05f878419f506db", "input": "What is 6/(-39) + (-12)/(-78)?", "output": [ "0" ] }, { "id": "task835-9aba8d2968d94a66afb897640ecee91f", "input": "Evaluate (-7)/6 + 2 + 9/(-27).", "output": [ "1/2" ] }, { "id": "task835-0d1a8ec87bf642eea3fc485bebd26109", "input": "Solve 0 = -t - 4*y - 13, -4*t - 3 = -y + 15 for t.", "output": [ "-5" ] }, { "id": "task835-d726964af03e4b25bc0d6bd8f2f6d339", "input": "Convert 3.891685 days to milliseconds.", "output": [ "336241584" ] }, { "id": "task835-841195d31e6848c69ecde9c77828e193", "input": "Suppose -40 = -7*t + 58. Calculate the smallest common multiple of t and 22.", "output": [ "154" ] }, { "id": "task835-4a2e957551fc453f8cb77cb1af028e43", "input": "What is 9794.962 weeks in seconds?", "output": [ "5923993017.6" ] }, { "id": "task835-15044625ce684fea9a619792a3100ff3", "input": "What comes next: 13, 9, 1, -11?", "output": [ "-27" ] }, { "id": "task835-b04e4bdcac114771b33b2f731f63e887", "input": "Let w be 18/27*(-18)/(-4). Suppose s - w*s + 80 = 0. What is the units digit of s?", "output": [ "0" ] }, { "id": "task835-f3e84a3077aa47fc8125616cf6d276ee", "input": "Solve -28*b + 10 = -23*b for b.", "output": [ "2" ] }, { "id": "task835-4a6bc254de7c4d638dfbffbd82275147", "input": "Suppose -4*p - 699 - 413 = 0. Let s = p - -113. Let l = s + 117. Calculate the common denominator of l and 37.", "output": [ "1" ] }, { "id": "task835-f03815a25b8a49b589e96845315cffec", "input": "What is the common denominator of -107/22 and 1377/(-126)*(-3)/18?", "output": [ "308" ] }, { "id": "task835-d9198e329f2445a392c72fb6d5a7c370", "input": "What is 1/(-1)*7/21?", "output": [ "-1/3" ] }, { "id": "task835-690b7e2822f148018ac4cb1bdbb9b0a5", "input": "Let w = 31 + -21. Let j = w - 0. What is the lowest common multiple of 7 and j?", "output": [ "70" ] }, { "id": "task835-3c1332e043c043d4842368ad6578c3f4", "input": "Let t(d) be the third derivative of -1/60*d**5 - 1/2*d**3 + 0*d + 0 - d**2 - 1/4*d**4. Let p be t(-4). Solve f - 12 = p*f for f.", "output": [ "-3" ] }, { "id": "task835-bd19eacc5a704656acb1634930a8d067", "input": "Solve 3*q - 9 = -3*s + 5*s, -q + 3 = -3*s for q.", "output": [ "3" ] }, { "id": "task835-c6b5cec4f0184ef1ba1fee0ab1cd75cb", "input": "Calculate -5 divided by -29.", "output": [ "5/29" ] }, { "id": "task835-7c3a0a6e00e0448393cf329889b3e2e3", "input": "Calculate ((-4)/10)/(22/(-110)).", "output": [ "2" ] }, { "id": "task835-4bd23bc364cc433a9eef9a83aa719e87", "input": "Let r be (-20)/6*3/(-2). Suppose 0 = 2*o + 3*b - 0*b - 40, -r*b + 20 = 0. What is the remainder when 26 is divided by o?", "output": [ "12" ] }, { "id": "task835-6fbadffaf54d4ea0b973fee93ae5d5e3", "input": "Let v be (-22)/(-4) - (-2)/(-4). Suppose -3*q - 30 = -v*q. What is the highest common factor of 60 and q?", "output": [ "15" ] }, { "id": "task835-2c0485eeed7b4f8c906da3e4139bacf9", "input": "Let a = 43 + -39. What is the remainder when (-32)/(-2) + (1 - 2) is divided by a?", "output": [ "3" ] }, { "id": "task835-c0ce741be7c547a5a62dacfd61ece92b", "input": "What is prob of picking 2 p when two letters picked without replacement from {z: 1, p: 2, d: 1}?", "output": [ "1/6" ] }, { "id": "task835-78fc0f254f0e4f22bf15f5d26e2943a4", "input": "Convert 25.14383 millennia to years.", "output": [ "25143.83" ] }, { "id": "task835-1697f08baa664bfa8cf65140c533a139", "input": "Let c = 5 + 0. Solve -c*u = -2*u + 3 for u.", "output": [ "-1" ] }, { "id": "task835-8292e5d4786c40698db8620df422b6ce", "input": "Let u(n) = 5 + 3*n**3 - 4*n**3 + n + n - 3*n**2 + 7*n**2. Suppose 0 = -4*i - 2*t + 20, 3*i - 18 + 0 = -3*t. What is the units digit of u(i)?", "output": [ "3" ] }, { "id": "task835-9b910c6515ef4d5a83561420541792d8", "input": "What is 38 plus -15.9?", "output": [ "22.1" ] }, { "id": "task835-7b34ebf9e4cf4471a2d15c39cf473a8d", "input": "What is 7/2 of a week in hours?", "output": [ "588" ] }, { "id": "task835-afe5e3e0b1bb47cdb12670909f0493b9", "input": "Let o(y) = 6*y + 13. Calculate the remainder when 56 is divided by o(3).", "output": [ "25" ] }, { "id": "task835-e782c584bb214cc9b92562b00e37bd62", "input": "Two letters picked without replacement from {r: 1, p: 1, c: 1}. Give prob of sequence cr.", "output": [ "1/6" ] }, { "id": "task835-583525d1a71a46aa876c00990d0a4a9a", "input": "How many centimeters are there in 11/4 of a meter?", "output": [ "275" ] }, { "id": "task835-0f367dc8ee0e436cbb06bd39165b3c22", "input": "-14649+2", "output": [ "-14647" ] }, { "id": "task835-df7d13f9cc7b498799375b20989504e4", "input": "Let k(q) = -4*q - 8. What is the units digit of k(-14)?", "output": [ "8" ] }, { "id": "task835-badb93faefa34ba5953386784e910876", "input": "Let a be (15 - 17)/((-4)/186). Let z = a - 54. What is the remainder when z is divided by 2/(-7) - (-200)/14?", "output": [ "11" ] }, { "id": "task835-2d0b1863649e47e3995b5425698fc4e8", "input": "What is next in -8004, -16010, -24016?", "output": [ "-32022" ] }, { "id": "task835-4af3492d34434a4281511979aee6721c", "input": "Divide -651 by 3.", "output": [ "-217" ] }, { "id": "task835-9a7ed65da9884785a961340c278fe067", "input": "What is 94879.48cm in kilometers?", "output": [ "0.9487948" ] }, { "id": "task835-190f2a78358a45c889830b14489766de", "input": "How many meters are there in 67/5 of a kilometer?", "output": [ "13400" ] }, { "id": "task835-fb1b55594bb04320a91fb3a8e6c6fbd4", "input": "Let y(w) = w**3 - 2*w**2 - w + 9. Calculate the remainder when y(5) is divided by 27.", "output": [ "25" ] }, { "id": "task835-8b4c86ab277f434aa58be9a0ca4ce97e", "input": "What is 6 + (-2 - 2) - -5?", "output": [ "7" ] }, { "id": "task835-287cd126507c4dedb04bd7ac8c34f983", "input": "Suppose 4*b = 2*x - 22, 5*b = x - 0 - 20. Suppose 0 = -3*v - 21*v + 24. Solve -3*o - u = -5, -2*u = x*o + 2*u + v for o.", "output": [ "3" ] }, { "id": "task835-6655ab4a1cdf4b968ddbc1a6d0696695", "input": "Let z = 7 + 1. Let b = -6 + z. Suppose 0 = m + b*m - 21. What is the units digit of m?", "output": [ "7" ] }, { "id": "task835-6097a71afadb4cb8b8b6928418d05687", "input": "Calculate the lowest common multiple of 6 and (1/(-2))/(3/(-114)).", "output": [ "114" ] }, { "id": "task835-12843cafa6394963aa610b42cc16d2b5", "input": "Suppose 3*b + 7 = 19. Suppose 2*a - b*a = -6. Calculate the remainder when 5 is divided by a.", "output": [ "2" ] }, { "id": "task835-500e3a30148b475ea1b130a803e93599", "input": "What is the next term in 77, 76, 67, 44, 1?", "output": [ "-68" ] }, { "id": "task835-f9813d51a1734ad4805f37a7f40f863d", "input": "Evaluate -8 + (-5 - (-10 - (0 + -4))).", "output": [ "-7" ] }, { "id": "task835-b6a01962c8a345d3a773a646e70b8b12", "input": "How many litres are there in 0.0574492 millilitres?", "output": [ "0.0000574492" ] }, { "id": "task835-65b45a06742a43b5bf89aa95531cb5d7", "input": "10/(-60) + 14/(-24)", "output": [ "-3/4" ] }, { "id": "task835-a29cb168b74c41b8b51f3188da4cc50b", "input": "In base 10, what is -151 - 26?", "output": [ "-177" ] }, { "id": "task835-777633d7b84c4bddb945eb74b3965e2c", "input": "Let y(g) = -g + 14. What is the remainder when 47 is divided by y(8)?", "output": [ "5" ] }, { "id": "task835-6ac5b6914a7642708bb361a55d720e77", "input": "What is -7003 less than -0.4?", "output": [ "7002.6" ] }, { "id": "task835-89814e09d1ef4d2f9928b136f37ec587", "input": "What is twenty-nine fifths of a litre in millilitres?", "output": [ "5800" ] }, { "id": "task835-edc99bf3bb6b4ee18a25ad36a81511c5", "input": "What is sixty-four sevenths of a week in minutes?", "output": [ "92160" ] }, { "id": "task835-499c750bcd0d4850b620c09007b0e074", "input": "Let h = -126 + 131. Solve -v - h + 0 = 0 for v.", "output": [ "-5" ] }, { "id": "task835-606ca3e8c580451a814a73470111b2c4", "input": "Let t be 4 + -2 + 1/1. Let z = -1 + t. Solve z*q - q = 0 for q.", "output": [ "0" ] }, { "id": "task835-3634cd0884e442f6bdf7ad16d0c8e074", "input": "Calculate prob of sequence fd when two letters picked without replacement from {m: 1, d: 2, f: 1, z: 2, y: 2}.", "output": [ "1/28" ] }, { "id": "task835-ada603094fc34531be75d1243ad12736", "input": "Calculate 3/9 + 1*(0 + 0).", "output": [ "1/3" ] }, { "id": "task835-8929b10f09114e1a94faf75d595fe006", "input": "Calculate (-2 - -1) + -2 + 7.", "output": [ "4" ] }, { "id": "task835-2fd96bc4148d48299755539b2c5381e4", "input": "What is prob of sequence uq when two letters picked without replacement from vlqvvwvquu?", "output": [ "2/45" ] }, { "id": "task835-b0e8f090a3e84675b026aba8c6c0328d", "input": "Solve -14*l + 3 = 3 for l.", "output": [ "0" ] }, { "id": "task835-20ac1ffd162d4fba9e4840b2cf326f43", "input": "Let w be (5/(-10))/((-1)/6). Suppose -2*a - l + 13 = -2*l, -w*l + 15 = 0. Calculate the greatest common factor of a and 27.", "output": [ "9" ] }, { "id": "task835-9944da52e47d4f5999f67cf7a45efcdb", "input": "(-686)/(-196)*(-1)/(-21)", "output": [ "1/6" ] }, { "id": "task835-8eb65a3369934f76b0c17691939e7fc8", "input": "Solve -11 = -2*j + 3*i, 4*i = 4*j + i - 7 for j.", "output": [ "-2" ] }, { "id": "task835-563ce986c2604abcbb140c4f74b610c5", "input": "Solve 0 = 4*y + 5*t - 15, 17 = 4*y - t + 4*t for y.", "output": [ "5" ] }, { "id": "task835-7d695d8391494b17b72e3f56309d7b11", "input": "What is 18195.999 months in centuries?", "output": [ "15.1633325" ] }, { "id": "task835-1896ec16bfe141db802f88eb5b5da809", "input": "Solve -5*l + 3*b = -3 - 3, 0 = b + 2 for l.", "output": [ "0" ] }, { "id": "task835-3ff5edf72fcf42a78afd64f3a150a707", "input": "Work out -0.3 - -433.", "output": [ "432.7" ] }, { "id": "task835-cbedb2865a394d93a799936b2b353331", "input": "In base 2, what is -100 + -1001100?", "output": [ "-1010000" ] }, { "id": "task835-45a7d60f348340c8bd6ca4008e94da7e", "input": "Solve -2*u + b - 2 = -0, -5*b - 20 = 5*u for u.", "output": [ "-2" ] }, { "id": "task835-4a344191013b4ee9bdf35f56453c50df", "input": "What is the third root of 8872 to the nearest integer?", "output": [ "21" ] }, { "id": "task835-7b71e57655184f21b791745206da5270", "input": "Suppose -4*v = -a - 409, 480 = -5*v + 10*v + 5*a. What is the remainder when v is divided by 21?", "output": [ "17" ] }, { "id": "task835-cec420cc6c5b4881b000da4cd6011691", "input": "Let j(b) = -b**3 - 5*b**2 - 6*b - 3. Suppose 5*f + 2*u = -25, 5*f + 25 = -0*u + u. Let m be j(f). Solve -4*n + 11 = m for n.", "output": [ "-4" ] }, { "id": "task835-93f42186e4054bbfa39c0c87a93d32f1", "input": "Calculate prob of picking 2 u and 1 w when three letters picked without replacement from wuwuwspxw.", "output": [ "1/21" ] }, { "id": "task835-21cc122a56e44b19bfa73f3627e0b871", "input": "Calculate (14/(-10))/(120/(-200)).", "output": [ "7/3" ] }, { "id": "task835-2b068c11f1304c54a2da4669597b8738", "input": "What is prob of picking 1 d and 3 j when four letters picked without replacement from djjjdjrrzjmjmrjvmr?", "output": [ "7/306" ] }, { "id": "task835-3bff786732c84a9dbb19b1b26d53114e", "input": "What is five quarters of a kilometer in meters?", "output": [ "1250" ] }, { "id": "task835-f5b90b257afb4729bc4e9bc6c432d5bd", "input": "Calculate the lowest common multiple of (21*-1 + -1)/(-2) and 6.", "output": [ "66" ] }, { "id": "task835-c810041d9ff344e98b274525bdbdb525", "input": "What is next in -63, -68, -75, -84, -95, -108?", "output": [ "-123" ] }, { "id": "task835-2e01b992652d42a2b786251b90723a86", "input": "Calculate prob of picking 1 x, 1 r, 1 z, and 1 b when four letters picked without replacement from brrrzaxra.", "output": [ "2/63" ] }, { "id": "task835-14d97878d6d04859b18b0499846df617", "input": "What is the value of ((-12)/(-16))/((-4)/(-96)*6)?", "output": [ "3" ] }, { "id": "task835-05d16ee6e2294ffa81b21fc1f6122170", "input": "11 divided by 379", "output": [ "11/379" ] }, { "id": "task835-c3b21e536eb64b61aea44a9da270aa65", "input": "What is (0/(-1)*5/(-15))/1?", "output": [ "0" ] }, { "id": "task835-ddd9a4bb5e3f4b0c8994be07ae954f38", "input": "Four letters picked without replacement from {e: 8, m: 2}. Give prob of sequence emme.", "output": [ "1/45" ] }, { "id": "task835-65b66fb58c8d46e2b501ee0b61d3f064", "input": "How many millimeters are there in 47.72367 kilometers?", "output": [ "47723670" ] }, { "id": "task835-68a8db58d20f4655930b6b3ca4c7341d", "input": "Solve -12*b = -35*b + 92 for b.", "output": [ "4" ] }, { "id": "task835-b7cd8a84c6954531830caa50451ef4ca", "input": "Suppose -3*i + 12 = -2*i. Let j = i - 8. Suppose -4*c - 4 = -4*h, -j*c - 5 - 1 = -5*h. Calculate the lowest common multiple of 7 and h.", "output": [ "14" ] }, { "id": "task835-24b7ed7544f547a686d71bdb1a61e6f7", "input": "What is fifty-four fifths of a century in months?", "output": [ "12960" ] }, { "id": "task835-6174ecbadd0c4a60b986a9f7ceea517f", "input": "Four letters picked without replacement from {t: 6, e: 2}. What is prob of picking 4 t?", "output": [ "3/14" ] }, { "id": "task835-98a8541a39564cf1ae2c9f452a115562", "input": "Solve 0 = -p + 1, -38 + 15 = 5*h + 2*p for h.", "output": [ "-5" ] }, { "id": "task835-67b257a99bb746698b8453a2ff19a7cd", "input": "What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 1, u: 8, w: 4, j: 2}?", "output": [ "8/105" ] }, { "id": "task835-c9d37d2251d0422e8361b31a5886f4eb", "input": "Suppose -2*j + 22 = 3*r + 2, 5*r - 8 = 3*j. Solve p = -3*c - 16, 0 = 4*p - r*c - 0*c for p.", "output": [ "-4" ] }, { "id": "task835-21f8ae59a52946cea93a842392ebacf1", "input": "How many kilograms are there in one quarter of a tonne?", "output": [ "250" ] }, { "id": "task835-a841b3a65258477f9ee49bcaf0ad6842", "input": "How many centimeters are there in 3/16 of a kilometer?", "output": [ "18750" ] }, { "id": "task835-090a9e1f77ab499a9e48bb39f4873554", "input": "Suppose 0 = 4*h - 6*h + 6. What is the lowest common multiple of 23 and h?", "output": [ "69" ] }, { "id": "task835-06508b1f6465448bbf127700b8be5a9f", "input": "Let t(p) = p**3 - 3*p**2 - 4*p + 2. Let a be t(4). Suppose 2*f = a + 2. Let l = f - -12. What is the units digit of l?", "output": [ "4" ] }, { "id": "task835-c5dd4a58dcbd4aba9a6e009549b3eae8", "input": "What is prob of picking 2 f when two letters picked without replacement from {w: 2, x: 4, f: 1}?", "output": [ "0" ] }, { "id": "task835-7eb7d0e99f79465e8ad8f3215e22b15b", "input": "Let a(u) = u**2 - 10*u + 10. Suppose 2*d - 7*d + 50 = 0. Calculate the smallest common multiple of a(d) and 16.", "output": [ "80" ] }, { "id": "task835-9d081130807b4533ab50369555848879", "input": "Suppose 3*g = 2*k + 220, 90 + 56 = 2*g - 2*k. What is the tens digit of g?", "output": [ "7" ] }, { "id": "task835-dd1fcb76eb4842a0ae4e9deab954f612", "input": "Calculate prob of sequence dty when three letters picked without replacement from {t: 1, g: 4, d: 3, u: 1, y: 1, f: 4}.", "output": [ "1/728" ] }, { "id": "task835-35a8847be5e449418075cb81bbc13887", "input": "Let b(j) = -j**3 - 8*j**2 + j + 10. Let n be b(-8). Suppose 4*d - 16 = -n*v - d, -4*d + 8 = 0. Solve -26 = -5*h + 2*t, 0*t = 3*h + v*t - 3 for h.", "output": [ "4" ] }, { "id": "task835-47c5a0ca818d4670ac8ce969d0a2eed5", "input": "What is next in -15, -21, -25, -27, -27?", "output": [ "-25" ] }, { "id": "task835-32e4cc100f6f4d3da886b49bd78143a7", "input": "Calculate prob of sequence zc when two letters picked without replacement from {c: 3, z: 7}.", "output": [ "7/30" ] }, { "id": "task835-61a001d4494b4844b097adf329cd0b95", "input": "Calculate prob of sequence yyy when three letters picked without replacement from {y: 3, k: 1}.", "output": [ "1/4" ] }, { "id": "task835-5e1484d811d3435aa96669948848a815", "input": "Calculate the remainder when 219 is divided by (-398)/(-9) - (-40)/(-180).", "output": [ "43" ] }, { "id": "task835-fe6278103006482ab7dc9bf78d0f093c", "input": "What is the next term in -2229, -2227, -2225, -2223, -2221, -2219?", "output": [ "-2217" ] }, { "id": "task835-6450a11c17fc4ab88577e287399ec004", "input": "What is thirty-seven fifths of a millennium in years?", "output": [ "7400" ] }, { "id": "task835-de170997745f4866b3ca78c1c9eab815", "input": "Calculate prob of sequence rsp when three letters picked without replacement from pogpphggsrpogs.", "output": [ "1/273" ] }, { "id": "task835-fe55dd407f26480c9409b126ab106ea1", "input": "Let p(s) = -s**2 - 5*s - 1. Let y be p(-5). What is the tens digit of y - (-2 + -11*2)?", "output": [ "2" ] }, { "id": "task835-e43af6fd785b472ea084adeca722d0f6", "input": "What comes next: 2, -19, -48, -79, -106, -123?", "output": [ "-124" ] }, { "id": "task835-b83729ade4ea4ffb921846f3fe12f0a3", "input": "What is thirteen fifths of a millennium in months?", "output": [ "31200" ] }, { "id": "task835-b8c482dec538485eacdd608aae06aa9e", "input": "Let r be 31 + 5 + (-3 - 0). Let h(c) = -c**2 - 3*c + 3. Let n be h(-3). Suppose -4*k - 14 = -s, n*s - k - 62 = k. What is the highest common factor of r and s?", "output": [ "11" ] }, { "id": "task835-9a39b2437ef3405ebd0ea1f68721bc9d", "input": "Multiply -0.25 and 9.", "output": [ "-2.25" ] }, { "id": "task835-9a83f6523e724213b02a45337db98975", "input": "Suppose -m = 0, z = -z - 3*m + 1030. Suppose 5*s = 5*i - z, 4*i - 217 = -3*s + 160. Calculate the highest common factor of i and 14.", "output": [ "14" ] }, { "id": "task835-00dbc3a115be45ee8c93d5c9723b8c45", "input": "What is the square root of 2448 to the nearest integer?", "output": [ "49" ] }, { "id": "task835-e1965145aa9a4eae93e5ff77a53b76f0", "input": "How many nanometers are there in 94.209 centimeters?", "output": [ "942090000" ] }, { "id": "task835-27b097b8c0984ae69432e8b79cf0312b", "input": "Let s = -2 + 6. Suppose j + 36 = s*j. Solve g - 5*g - j = 0 for g.", "output": [ "-3" ] }, { "id": "task835-15ce4ced66444e20bec64df1ff09625c", "input": "Two letters picked without replacement from wenewzzwnznznenoeew. What is prob of picking 2 e?", "output": [ "10/171" ] }, { "id": "task835-2c38ef672fcb47089546812b140cc347", "input": "504 divided by 42", "output": [ "12" ] }, { "id": "task835-2242213ec3aa46c688c0048be9ba742c", "input": "Evaluate -1 - (1 - (-1 + -3 + 8)).", "output": [ "2" ] }, { "id": "task835-5527b30026e24777986db4d20f964d6f", "input": "How many millilitres are there in twenty-six fifths of a litre?", "output": [ "5200" ] }, { "id": "task835-8e39455e737e40d5870120786093c2c6", "input": "What is 0.4025097l in millilitres?", "output": [ "402.5097" ] }, { "id": "task835-b841c7087e6d4f7da8fb30b757916740", "input": "What is (((-36)/(-15))/4)/(15/(-75))?", "output": [ "-3" ] }, { "id": "task835-2497bb6f8eef4429bc4b2629dda27d26", "input": "Calculate prob of picking 2 z when two letters picked without replacement from vzvvz.", "output": [ "1/10" ] }, { "id": "task835-04a7047613f4436d8d84fd4ed8b2ff87", "input": "What is 1157.198l in millilitres?", "output": [ "1157198" ] }, { "id": "task835-c2c1b8dd198844ff8029e710d48b0eb9", "input": "How many millennia are there in 13.77422 decades?", "output": [ "0.1377422" ] }, { "id": "task835-55f6ce708efb467e95ccdcfee2bca679", "input": "What is 17/4 of a tonne in kilograms?", "output": [ "4250" ] }, { "id": "task835-947a4655a80f4309955e4aba672ca9bd", "input": "Three letters picked without replacement from {x: 6, l: 4, m: 9}. Give prob of picking 2 l and 1 m.", "output": [ "18/323" ] }, { "id": "task835-f4bd4a2908d145ceb54c00ac107293bf", "input": "Calculate prob of sequence kk when two letters picked without replacement from {k: 8, j: 1, f: 6}.", "output": [ "4/15" ] }, { "id": "task835-af36a9f35c1e424db810a1ed12666966", "input": "Let q = 14 - 24. Let z = q + 21. Solve -z = 2*c - 1 for c.", "output": [ "-5" ] }, { "id": "task835-1483baa3b47f4113b5a47f4c26d58d84", "input": "Calculate prob of sequence ooo when three letters picked without replacement from ooko.", "output": [ "1/4" ] }, { "id": "task835-1c9a7bd0d8b14659ac4aa36ca99c0224", "input": "What is 15588 to the power of 1/8, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-041bff2002444c4f91520db307933f82", "input": "Let c(r) be the second derivative of -r**5/20 + r**4 - r**3/6 + 15*r**2/2 - 2*r. Let g be c(12). Solve -5*p = 3*o + 13, -6*p - 11 = 5*o - g*p for o.", "output": [ "-1" ] }, { "id": "task835-96af821dcefe429c87c114063eacee57", "input": "Let t = -8 + 5. Let h = t + 7. Let r be (-8)/24*(-27 - 0). Solve r*q - h*q = 0 for q.", "output": [ "0" ] }, { "id": "task835-9462071b485c45aa99f0bed87fd74e43", "input": "What is next in 590, 549, 496, 425, 330, 205?", "output": [ "44" ] }, { "id": "task835-1a19b73e1532476a8a24518f63186c54", "input": "What is the next term in 15, 53, 91, 129, 167?", "output": [ "205" ] }, { "id": "task835-1c8b1cd312aa431092e6ca1bcfbe7cf8", "input": "Two letters picked without replacement from aamuvv. What is prob of picking 1 a and 1 m?", "output": [ "2/15" ] }, { "id": "task835-6397702da49a4526a829aa1659dae759", "input": "Divide -6 by 2.", "output": [ "-3" ] }, { "id": "task835-8facba8b08d74157abb3a2b95d64cb43", "input": "What is the square root of 23650 to the nearest integer?", "output": [ "154" ] }, { "id": "task835-e6faad9748c84b2c8113f28a6031a39e", "input": "Two letters picked without replacement from hwlksmslkmkms. Give prob of sequence lw.", "output": [ "1/78" ] }, { "id": "task835-b80b1ba27e144bceb7e6ccfa272d63f2", "input": "-12*-0.13", "output": [ "1.56" ] }, { "id": "task835-840d7874ce19462780ee9bdffd93b736", "input": "Let u(j) = -j**3 + j**2 - 4*j - 6. Calculate the lowest common multiple of 20 and u(-3).", "output": [ "420" ] }, { "id": "task835-140c9c40464948a69ecaed0fc7782509", "input": "Calculate prob of sequence cl when two letters picked without replacement from {n: 2, c: 6, z: 2, l: 1, u: 3, q: 1}.", "output": [ "1/35" ] }, { "id": "task835-07d5f319d86c4ec9b20f328ad88d4c50", "input": "Let v(k) = k**3 + k**2 - k - 3. Let d be v(0). Let a be ((-15)/2)/d*4. Let x = a + -8. Solve -3 + 11 = x*p for p.", "output": [ "4" ] }, { "id": "task835-a1cb4f3bc77649f5973e30eb8dcbf174", "input": "Suppose 24 = -4*j + 6*j. Let b(g) = 11*g**2 - 2*g + 3. Let z be b(1). Calculate the highest common divisor of z and j.", "output": [ "12" ] }, { "id": "task835-82d973c147fa427c9a2512d33c562e82", "input": "Suppose a - f + 0*f + 5 = 0, 5*f = -4*a + 25. Solve a*r + 2*r = 0 for r.", "output": [ "0" ] }, { "id": "task835-b6c25f1d042e46cbaefc3eba4c4b04b0", "input": "What is next in -378, -724, -1068, -1410, -1750, -2088, -2424?", "output": [ "-2758" ] }, { "id": "task835-98551b33e22848d497868fbe8ecd4e13", "input": "What is -4784 divided by 104?", "output": [ "-46" ] }, { "id": "task835-448bc24cc76d4fb68310250ef062a029", "input": "How many milligrams are there in three fifths of a gram?", "output": [ "600" ] }, { "id": "task835-24bdcc117d2e409a9cb9da923b2e2955", "input": "Convert 383.4505km to millimeters.", "output": [ "383450500" ] }, { "id": "task835-b6e46e64f7df4050b60ad44ba99379d8", "input": "Let p(k) = k**3 + 3*k**2 - 3*k - 5. Let q be p(-2). Solve -3*s + 8 = 4*l - 5, -q*l - 4 = -3*s for l.", "output": [ "1" ] }, { "id": "task835-1f05373299fa40bdac5389130966a94e", "input": "Calculate prob of sequence og when two letters picked without replacement from xowwwwoowokgogw.", "output": [ "1/21" ] }, { "id": "task835-58ba3c52b2c34237812eb5044619c92f", "input": "What is the value of ((-3)/(-63)*6)/(-1)?", "output": [ "-2/7" ] }, { "id": "task835-0500c41e59be4addbd7900e27719e15e", "input": "Find the common denominator of 41/2 and 3 + (180/(-16))/(-3).", "output": [ "4" ] }, { "id": "task835-877ccbdb821a426c9567826c9059b3b5", "input": "Solve -2 = -3*a + 5*t + 5, -2*a + 8 = -5*t for a.", "output": [ "-1" ] }, { "id": "task835-f2ee417dcbc3403d84b4350578200551", "input": "Solve -3*y - 4*h - 10 = 0, 3*y + h + 1 = 3 for y.", "output": [ "2" ] }, { "id": "task835-c4e684c720044aff9cb3290315d77fbb", "input": "Let q be (-6)/(-4)*14/(-21). Let o = -47 - -84. Calculate the remainder when o is divided by (-23 - -4)/(-2 - q).", "output": [ "18" ] }, { "id": "task835-cf0c827e90cd4bee9134314ffdc7d9f4", "input": "What is five quarters of a century in months?", "output": [ "1500" ] }, { "id": "task835-b71f6f42593e445d9a0af62d97721792", "input": "Two letters picked without replacement from zaaaaazazoaazaaaaaaz. Give prob of picking 1 a and 1 o.", "output": [ "7/95" ] }, { "id": "task835-db4f5ffe6335492bacb926d5aa39b13b", "input": "In base 11, what is -27 + -15a?", "output": [ "-186" ] }, { "id": "task835-c53fe0778b88432cab2f673168d39c12", "input": "What is the fourth root of 10619 to the nearest integer?", "output": [ "10" ] }, { "id": "task835-c16eac129b52480a9400549c9f138816", "input": "Solve 6*x - 8 = 2*x for x.", "output": [ "2" ] }, { "id": "task835-46728575e9df4553a18171bd5f7543dc", "input": "How many millimeters are there in three fifths of a centimeter?", "output": [ "6" ] }, { "id": "task835-2317eb1744144b7590aea59724d6b722", "input": "Evaluate (-341)/(-44) + 1 + 6/(-8).", "output": [ "8" ] }, { "id": "task835-b6531f9efefe447aa848fd2ce029bdc4", "input": "Let q = 10 - -75. Suppose 2*s = 2*t + 30, 5*s - q = s - t. Suppose -4*i + 4 + 5 = -a, 4*a - i = 24. Solve -s = -2*g + a*g for g.", "output": [ "-4" ] }, { "id": "task835-e48003c2ea1d4b26a9792c28e533024b", "input": "Solve 154 = -39*v - 41 for v.", "output": [ "-5" ] }, { "id": "task835-b0095ee5fe60462d8eafa901006b670f", "input": "In base 3, what is 100000 + -12?", "output": [ "22211" ] }, { "id": "task835-b6edad65e3e04081b88927d9b14d08cc", "input": "Let n(c) = -16*c - 62. Suppose 5*g - 4*s = 336, 5*g + 133 = 5*s + 468. Calculate the remainder when g is divided by n(-5).", "output": [ "14" ] }, { "id": "task835-014ce6ef040f4421ab44164e1033db74", "input": "Let q(j) be the first derivative of j**3/3 + j - 1. Let n be q(-2). Calculate the highest common divisor of 5 and n.", "output": [ "5" ] }, { "id": "task835-333f3e45a1db4949b0b2aea2c552944b", "input": "Solve 2*z + 2*x + 12 = 0, -x + 6 = -3*z + 2*x for z.", "output": [ "-4" ] }, { "id": "task835-65d50ae32d9740f8bcb0985f8e3e33df", "input": "What is 10505 to the power of 1/3, to the nearest integer?", "output": [ "22" ] }, { "id": "task835-af968af3c04847d18ce5e1258f9098b4", "input": "What is one quarter of a litre in millilitres?", "output": [ "250" ] }, { "id": "task835-529644a1f2674c4dae3f737454bedd59", "input": "How many grams are there in nine tenths of a kilogram?", "output": [ "900" ] }, { "id": "task835-5188da3de2ab438d96a1f2471a8bf770", "input": "Suppose 0 = 4*f - 4*w + 260, -2*f - 259 = 2*f - 5*w. Let v be f/(-14) - 12/(-42). Suppose 0*j - v*j = -45. What is the units digit of j?", "output": [ "9" ] }, { "id": "task835-eddfd6cdb3f4483ba959aff8569e7ca0", "input": "In base 11, what is -1 + 6202?", "output": [ "6201" ] }, { "id": "task835-9c6a341ca033483ca6442a3e396ef764", "input": "Calculate 32536 divided by 8134.", "output": [ "4" ] }, { "id": "task835-220edd0e54b4475ab8391a28f50b7b0e", "input": "Convert 82.82052um to millimeters.", "output": [ "0.08282052" ] }, { "id": "task835-b2fabe4e3de14360a138323b5270ae03", "input": "What is next in 6, 12, 18?", "output": [ "24" ] }, { "id": "task835-5f29a3e9d5ee4338a7a9beaf57c02bec", "input": "What comes next: 73, 97, 129, 163, 193, 213?", "output": [ "217" ] }, { "id": "task835-67cafac2732a49eb97d8a6b5d4e42013", "input": "Calculate prob of sequence rkk when three letters picked without replacement from {r: 12, k: 3}.", "output": [ "12/455" ] }, { "id": "task835-bbb50d7188e049c782d5ea4c8b844d6f", "input": "Calculate prob of sequence vvd when three letters picked without replacement from {d: 3, v: 7}.", "output": [ "7/40" ] }, { "id": "task835-70a47ee5cb054e6c8dc4b63eff5b1394", "input": "Convert 8028586.8 milliseconds to hours.", "output": [ "2.230163" ] }, { "id": "task835-8389d795174b4b76a17e46f861a47c24", "input": "Calculate prob of sequence pb when two letters picked without replacement from aapbbpppbpppbabab.", "output": [ "21/136" ] }, { "id": "task835-14d3d6129c6e4d25a0a984fae2250092", "input": "What is 3.329688 micrometers in kilometers?", "output": [ "0.000000003329688" ] }, { "id": "task835-27c8fea0a6b2467f98182321fbdc00e4", "input": "How many decades are there in six fifths of a millennium?", "output": [ "120" ] }, { "id": "task835-42fb3df8ffff46ee9d37544a6fad739d", "input": "Let u(j) = j**2 - 6*j + 15. What is the remainder when u(6) is divided by 8?", "output": [ "7" ] }, { "id": "task835-84aa35d4426c440bb74b295fa4e9642b", "input": "What is the next term in -145, -146, -147, -148?", "output": [ "-149" ] }, { "id": "task835-b6f2f149e5604ce2bf31628c1665b94a", "input": "In base 14, what is 2 - -129?", "output": [ "12b" ] }, { "id": "task835-1ddd6c7f049049d8823274dfe737d18f", "input": "Evaluate 0 + (5 - 1 - (-15 - -23)).", "output": [ "-4" ] }, { "id": "task835-aa5d12cec5e445558f961abafb238bc0", "input": "Let t(n) = n**2 + 8*n + 3. Let h(j) = -j**3 + 3*j**2 - 4*j + 2. Let a be h(4). Let z = -8 - a. Calculate the remainder when z is divided by t(-9).", "output": [ "10" ] }, { "id": "task835-fe24b17ebbbd497cb67bde93d7aed4d5", "input": "(3*(-3)/(-6))/((-3)/(-10))", "output": [ "5" ] }, { "id": "task835-3a05acc4ebe9493b88b83064efe47e28", "input": "Solve 0 = -9*n - n - 50 for n.", "output": [ "-5" ] }, { "id": "task835-39a751bc1dd2404b8f52b5c66b00cd8a", "input": "Solve f + g = -2 + 8, 4*g = 4*f for f.", "output": [ "3" ] }, { "id": "task835-363c2e6e3abc4bf291e959360bfeb54a", "input": "Three letters picked without replacement from {c: 1, o: 2, g: 1, y: 1, q: 1, m: 2}. What is prob of sequence yom?", "output": [ "1/84" ] }, { "id": "task835-a6d2f8de6a8e439ebe51bbb50d6feeec", "input": "Let t(g) = g - 3. Let p be t(5). Suppose 0 = p*m + 4*r - 48, 4*m - 2*m = -r + 33. Calculate the remainder when 25 is divided by m.", "output": [ "11" ] }, { "id": "task835-de20202029754ef3b1ebfe496f073562", "input": "Calculate prob of picking 3 a and 1 o when four letters picked without replacement from {a: 1, t: 6, o: 2, m: 4, c: 3}.", "output": [ "0" ] }, { "id": "task835-5474eb8d83d54e79b2b963c4eb30309d", "input": "What is prob of picking 1 a, 1 u, and 1 h when three letters picked without replacement from nauacnhaaxuannxunxca?", "output": [ "3/190" ] }, { "id": "task835-387853efd1f844acb4613cfcbcdd3573", "input": "Calculate prob of picking 1 h and 1 o when two letters picked without replacement from {o: 3, e: 2, h: 10, r: 4}.", "output": [ "10/57" ] }, { "id": "task835-45cf670144d043e19e13352777b26328", "input": "Calculate -2 divided by 40.", "output": [ "-1/20" ] }, { "id": "task835-082b2757689649ce99e8f9bf880acd7d", "input": "Evaluate 3 + (0 - 4 - (-3 - 2)).", "output": [ "4" ] }, { "id": "task835-01cb5a49f2f14f2893d3308dce3f0c27", "input": "Suppose -k - 3 + 26 = 0. Suppose k = 2*o - 17. Solve v = 6*v - o for v.", "output": [ "4" ] }, { "id": "task835-12a3f1371ed947f499aaa0cad87ca757", "input": "Suppose 3*f + 0*j - 15 = 5*j, 5*f + j + 3 = 0. Suppose -s + 15 = -5*l + 2*l, 4*l + 16 = f. Solve s + 2 = 5*w for w.", "output": [ "1" ] }, { "id": "task835-2f9e0bde1c7d4712b711f6c53521c369", "input": "How many millilitres are there in 9.081666 litres?", "output": [ "9081.666" ] }, { "id": "task835-a80e1c0ff7054a0499ae63d3966b8094", "input": "Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, d: 9, g: 1, w: 1, u: 2}.", "output": [ "3/68" ] }, { "id": "task835-60db4748c0194fd3811d699c781db4a6", "input": "Suppose 5*x - 7 = -22. Let p = 11 + x. Let b be p/2 - 1/1. Solve 0 = -m + b*m - 6 for m.", "output": [ "3" ] }, { "id": "task835-2aec117996d44a0a83f7835dca7eaa0a", "input": "2 + -7 + (0 - (-1 + 0))", "output": [ "-4" ] }, { "id": "task835-c3b293e31a8d4ada9afb31a9f6b86fb9", "input": "Convert 0.3324348 nanoseconds to seconds.", "output": [ "0.0000000003324348" ] }, { "id": "task835-5952a882594b4b3c832b57a19195e90a", "input": "What is prob of picking 4 z when four letters picked without replacement from {y: 3, z: 4, b: 13}?", "output": [ "1/4845" ] }, { "id": "task835-9e79544cc0704393b87fdecb17a4f7b9", "input": "Solve -2*p + 0 = 2*m - 8, -3*p - 28 = -5*m for m.", "output": [ "5" ] }, { "id": "task835-fc5365063c494d9bb05c8c6b412cf3cd", "input": "Solve 0 = 10773*c - 10764*c + 54 for c.", "output": [ "-6" ] }, { "id": "task835-805aab34b6a74e4086a730e95a627844", "input": "In base 9, what is -1 + -11?", "output": [ "-12" ] }, { "id": "task835-255c3b1a0a4a4346a66e6883aa56300a", "input": "How many nanograms are there in 1/5 of a microgram?", "output": [ "200" ] }, { "id": "task835-0fdb0d80ed1543ad904fa823e9459ee0", "input": "Calculate prob of picking 1 g and 3 e when four letters picked without replacement from {g: 2, e: 6}.", "output": [ "4/7" ] }, { "id": "task835-816908e4f6bf4b22a4cb199d111cf6f7", "input": "Suppose -2*w = -17 - 7. Let l = -5 + 10. Let c = l - 0. Solve -t = -c*t + w for t.", "output": [ "3" ] }, { "id": "task835-69a9919135ed4293b5d3fec44f48cd85", "input": "202028 + 0.08", "output": [ "202028.08" ] }, { "id": "task835-65dade19f3a84da4b1b99293c9751d5b", "input": "Let v(d) be the second derivative of d**5/20 - 3*d**4/4 - 5*d**3/3 + 15*d**2/2 + d. Suppose 2*z - 6 = 52. Calculate the remainder when z is divided by v(10).", "output": [ "14" ] }, { "id": "task835-88df6eda1c2e4b06b231c80f7448fb9d", "input": "Two letters picked without replacement from {i: 3, v: 2}. Give prob of sequence iv.", "output": [ "3/10" ] }, { "id": "task835-4168b71b3d1a4a0d873e0dcffec21522", "input": "Four letters picked without replacement from tttytyt. Give prob of sequence tttt.", "output": [ "1/7" ] }, { "id": "task835-27a1815cf1cb44ad9bb917c3d51d87fc", "input": "Let x = 17 - 12. Suppose 0 = -f - 2*f - l + 61, 105 = x*f + 5*l. What is the highest common divisor of 30 and f?", "output": [ "10" ] }, { "id": "task835-059d7f94a5c64cb88362d47fce711c69", "input": "In base 4, what is -20 - -31232?", "output": [ "31212" ] }, { "id": "task835-4a23f06ac09c4efa8eb25a0f640333e2", "input": "What is prob of picking 2 h and 1 c when three letters picked without replacement from cccthcccskckksthkkch?", "output": [ "2/95" ] }, { "id": "task835-1c33ff448e3d4214aaedd68c406f3271", "input": "What is 995.4755ml in litres?", "output": [ "0.9954755" ] }, { "id": "task835-0361d9e7dc044491b5b3a1e32427594d", "input": "Two letters picked without replacement from {t: 1, r: 14}. What is prob of sequence rt?", "output": [ "1/15" ] }, { "id": "task835-1232ca53393d4011abdc640755bd537c", "input": "Calculate -0.5*0.26.", "output": [ "-0.13" ] }, { "id": "task835-3dcaed3d76f64337b8774e66deb81506", "input": "Convert 6.07838 meters to millimeters.", "output": [ "6078.38" ] }, { "id": "task835-f06ea8cc13d34dfd9f2f3dae82d42439", "input": "Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 11, j: 1, y: 1}.", "output": [ "11/78" ] }, { "id": "task835-dfcd79ba8da148e5a3cf7b23d3915139", "input": "What is 40320.53t in kilograms?", "output": [ "40320530" ] }, { "id": "task835-b3b2a0f8bb71432baf1f987a76ae2a4b", "input": "Suppose -7*m + 8*m + 42 = 0. Let l = -30 - m. Solve 0 = 4*n - n - l for n.", "output": [ "4" ] }, { "id": "task835-b09b06892ad04088a279998bdc7fd272", "input": "Calculate prob of picking 2 o and 2 j when four letters picked without replacement from ojeoeoboebjbsjbbybo.", "output": [ "5/646" ] }, { "id": "task835-3d884c16abe44ec3929a6a472dd718dc", "input": "What is 52424.3 grams in kilograms?", "output": [ "52.4243" ] }, { "id": "task835-50c444dd06aa4541bd3b61a0be2adb3d", "input": "Suppose b + 2*b = 0. Suppose -4*v + 1 = -11. Solve b = -n + v - 2 for n.", "output": [ "1" ] }, { "id": "task835-a897e2c91df24083819ef1b81716fb0e", "input": "Convert 515.6901 decades to millennia.", "output": [ "5.156901" ] }, { "id": "task835-ce5a0a86b218430c9d00ab8c2456eca1", "input": "Convert 9072.433cm to kilometers.", "output": [ "0.09072433" ] }, { "id": "task835-2c4b70992a78472bb6bfc2be697daf87", "input": "Calculate prob of sequence xx when two letters picked without replacement from vxxxxxxxv.", "output": [ "7/12" ] }, { "id": "task835-daad67384d1341419e9c0e63313b784b", "input": "Solve -37 + 23 = 7*t for t.", "output": [ "-2" ] }, { "id": "task835-c46be8f4cb084875aab830ec1e90888a", "input": "What is the third root of 47035 to the nearest integer?", "output": [ "36" ] }, { "id": "task835-20ae4f305b944a70a791e3c61683bc68", "input": "What is twenty-five halves of a litre in millilitres?", "output": [ "12500" ] }, { "id": "task835-e5fc4266aeaa45a0bc871282e4902654", "input": "Convert 0.930934 milligrams to kilograms.", "output": [ "0.000000930934" ] }, { "id": "task835-e4a4e079b5e54591ab16ccf673939dea", "input": "Suppose 0 = -v - 1. Let r be (0 - 2)/(v/(-5)). Let c(u) = -2*u + 1. Let q be c(r). Calculate the greatest common factor of 14 and q.", "output": [ "7" ] }, { "id": "task835-6e650db55d0c40db8ed9578b8e661fb5", "input": "Solve 0*m + 22 = n + 5*m, 5*m = 3*n + 14 for n.", "output": [ "2" ] }, { "id": "task835-533d864351704446a5bead48c926c200", "input": "How many nanograms are there in 0.4781357ug?", "output": [ "478.1357" ] }, { "id": "task835-37b1094cc4734f5ea7b6bde6a728591a", "input": "Three letters picked without replacement from nnqnnnnnnnnn. What is prob of picking 3 n?", "output": [ "3/4" ] }, { "id": "task835-148fc83610d34a1d841f61d296993592", "input": "What is prob of picking 1 g and 1 k when two letters picked without replacement from {k: 1, l: 1, g: 1, b: 1, p: 1}?", "output": [ "1/10" ] }, { "id": "task835-ccb5f630a5ca458596c064be79893cfa", "input": "What is next in 22, 39, 56, 73, 90, 107?", "output": [ "124" ] }, { "id": "task835-18285890a2934844b5853012dae8f1f4", "input": "Four letters picked without replacement from {r: 3, n: 1, s: 3, o: 9, e: 2}. Give prob of picking 1 e, 1 s, 1 r, and 1 o.", "output": [ "9/170" ] }, { "id": "task835-db777ee1ad804c09808a9aabfbe8fce1", "input": "Let l be 0/((-1)/(-1)*-2). Suppose 0 = 4*w - 4*j - 36, l = 2*w - 0*j + j - 6. Solve q + 3*c = 6*q - 14, 30 = w*q + 5*c for q.", "output": [ "4" ] }, { "id": "task835-06b02f8614914d5a9901e08598d2d38a", "input": "Let d(h) = h**2 + 10*h + 21. What is the tens digit of d(-9)?", "output": [ "1" ] }, { "id": "task835-70d493bee4184f8fabc02906c953b867", "input": "Three letters picked without replacement from obiiboibbib. Give prob of sequence ioo.", "output": [ "4/495" ] }, { "id": "task835-5b0d3c5e964248339a69338dcb293a37", "input": "In base 5, what is 10 - -13202?", "output": [ "13212" ] }, { "id": "task835-10adfd757b8b43d28682593f216c3013", "input": "Calculate prob of picking 2 l when two letters picked without replacement from hhxxxxlllhxhhxxb.", "output": [ "1/40" ] }, { "id": "task835-6189c5bf82f74cbf81a0dd927e4f5b6c", "input": "Let a(s) = -s**3 - 15*s**2 - 15*s - 14. Let d be a(-14). Solve 5*i + 5*f - f + 17 = d, 3*i = -5*f - 18 for i.", "output": [ "-1" ] }, { "id": "task835-134e45f3a85043d7aac62568f3196f88", "input": "Four letters picked without replacement from qrqqsrsqskrqqkrqks. Give prob of picking 4 q.", "output": [ "7/612" ] }, { "id": "task835-1e5de3c98c5b4698972dc6c3be57a5e7", "input": "Suppose -3*u + n = -2*n - 432, 5*u + 4*n - 720 = 0. What is the greatest common divisor of u and 12?", "output": [ "12" ] }, { "id": "task835-d5a1a754cc5e402b9631ffe36df883b5", "input": "Evaluate (-3)/(-10)*(-15)/27.", "output": [ "-1/6" ] }, { "id": "task835-35a3b805684d4fabac9af50e29c5d13a", "input": "Let v be (1/(-3))/((-4)/48). Suppose -v*x + l = -290 - 25, l = 3*x - 236. Calculate the remainder when x is divided by 27.", "output": [ "25" ] }, { "id": "task835-3c1e0698b03040ab88bee7660884806d", "input": "What is prob of sequence fpft when four letters picked without replacement from {p: 1, m: 3, t: 3, r: 1, f: 3}?", "output": [ "1/440" ] }, { "id": "task835-196717240c844827a1ea5c6e634b0fdb", "input": "How many grams are there in 189.8579 kilograms?", "output": [ "189857.9" ] }, { "id": "task835-f86f87bb864f425c9b96e317ef2ee2f5", "input": "In base 11, what is -37 + 35?", "output": [ "-2" ] }, { "id": "task835-7e41bb9db6b94cba98b536439768b7e1", "input": "What is prob of sequence spss when four letters picked without replacement from sssssssssspsp?", "output": [ "3/26" ] }, { "id": "task835-d98140d4f0ac43968e883752d361da95", "input": "Suppose -4 + 40 = 2*t. Calculate the remainder when t is divided by 5.", "output": [ "3" ] }, { "id": "task835-dd8bbc80926646ab9a8a44e85bd69676", "input": "Let u(v) = -v + 5. Let t be u(2). Solve t*x + 21 = 3*r, -4*x + r = -0*r + 22 for x.", "output": [ "-5" ] }, { "id": "task835-0efe3aaa1bf9497b9ac6ce2f896b30c1", "input": "Three letters picked without replacement from avaavvu. Give prob of sequence vvu.", "output": [ "1/35" ] }, { "id": "task835-53f41a453d5f4cc699caa5d065631234", "input": "Calculate 5 - (-4 - 140/(-16)).", "output": [ "1/4" ] }, { "id": "task835-477194f125ae4ca888dfadcbe61bb5dd", "input": "Convert 305.6049 months to decades.", "output": [ "2.5467075" ] }, { "id": "task835-6050d48dfee642f3af7208dee3d597f9", "input": "Let l(z) be the third derivative of z**5/60 - z**4/24 - z**3/2 - 2*z**2. Let h be l(3). Suppose 16 = h*w + 1. What is the units digit of w?", "output": [ "5" ] }, { "id": "task835-871f607f210145e083ee4e756d1e69a1", "input": "Suppose -2*w + w + 4*m = -51, -4*w + 2*m + 218 = 0. What is the remainder when w is divided by 15?", "output": [ "10" ] }, { "id": "task835-18f7f3b642c347c1976ded68ddecee0b", "input": "How many months are there in seven eighths of a millennium?", "output": [ "10500" ] }, { "id": "task835-01f911f51f5741898e8ee8d669a174fa", "input": "Two letters picked without replacement from {t: 5, x: 7}. Give prob of picking 1 t and 1 x.", "output": [ "35/66" ] }, { "id": "task835-ab5d88ee93c64797bd9d5bcf5475a790", "input": "Two letters picked without replacement from ttnii. What is prob of picking 1 n and 1 t?", "output": [ "1/5" ] }, { "id": "task835-538a5e885a7b47b9bba518c43022a2fd", "input": "-20332 divided by -221", "output": [ "92" ] }, { "id": "task835-41ce938bb4194c8d96a33da856950277", "input": "Calculate prob of picking 2 w and 2 l when four letters picked without replacement from {w: 3, l: 4}.", "output": [ "18/35" ] }, { "id": "task835-8f2964f56e9640b5bdd71438a254e4c3", "input": "Let l be ((-22)/(-4))/(6/72). What is the highest common factor of 44 and l?", "output": [ "22" ] }, { "id": "task835-cc392e6931b54b068082559c5bbeee74", "input": "How many millilitres are there in eighteen fifths of a litre?", "output": [ "3600" ] }, { "id": "task835-adfb258a9d364414b5a5e9ec0a1b7ba9", "input": "How many months are there in eleven quarters of a millennium?", "output": [ "33000" ] }, { "id": "task835-471e3d0dc7dd4d3594f189fdd989f9ad", "input": "Let w(l) = l**2 - 2*l - 2. Let y be w(4). Suppose -40 = 2*f - y*f. Calculate the remainder when 38 is divided by f.", "output": [ "8" ] }, { "id": "task835-b15c2ce192364326a18570fd5d9bf79c", "input": "Three letters picked without replacement from {g: 3, w: 1, t: 7, u: 3}. Give prob of sequence tuw.", "output": [ "1/104" ] }, { "id": "task835-5a683f80fdb6494282afe8f89bf3db40", "input": "What is 1/4 of a litre in millilitres?", "output": [ "250" ] }, { "id": "task835-a98eacce4ccd4782acd23c3bd7b4490c", "input": "Let r = -220/7 + 823/42. Let c = 3896267/14784 - 2899/11. Let g = c - 5881/1344. Calculate the common denominator of r and g.", "output": [ "24" ] }, { "id": "task835-11a066682f104f29abba01df8af9d1d5", "input": "Convert 364.4771 millilitres to litres.", "output": [ "0.3644771" ] }, { "id": "task835-0a30630561a64cca8340e8f6337dba03", "input": "Let m(q) = -q**3 - 12*q**2 - 13*q - 6. Let s be m(-11). Calculate the highest common divisor of 1 and s.", "output": [ "1" ] }, { "id": "task835-ddb7c0aa1a9d4b30b39c75d831069d1b", "input": "Solve 0*h = -4*h - 8 for h.", "output": [ "-2" ] }, { "id": "task835-214a68293aa344a2803fbff5a349a2b5", "input": "What is the lowest common multiple of 9 and 18/12 + (-31)/(-2)?", "output": [ "153" ] }, { "id": "task835-5c28cddc51274ca5bac032b2b4e49819", "input": "What is prob of picking 1 j, 2 p, and 1 z when four letters picked without replacement from {z: 3, j: 2, p: 10}?", "output": [ "18/91" ] }, { "id": "task835-9c69649acb0e45628a059489d4053bdd", "input": "Suppose 4*t = 39 - 27. Solve t - 4 = -a for a.", "output": [ "1" ] }, { "id": "task835-cdb26e0b16ac4ab1a5010616567e8a8e", "input": "What is prob of sequence ih when two letters picked without replacement from ihpphbiphppbbbbbhbi?", "output": [ "2/57" ] }, { "id": "task835-b7f844efa55d419ebb2fc39e97e07375", "input": "What is 25/2 of a week in hours?", "output": [ "2100" ] }, { "id": "task835-41199cf90ac840bda02644afc0fde086", "input": "What is 1760 to the power of 1/4, to the nearest integer?", "output": [ "6" ] }, { "id": "task835-68817111fb7d4edebd8bad22e7c0b376", "input": "How many milligrams are there in 3/32 of a kilogram?", "output": [ "93750" ] }, { "id": "task835-f06f326cc4e94042824e2771a7035e0f", "input": "In base 15, what is d + -e?", "output": [ "-1" ] }, { "id": "task835-05314ff98ffc4dc68cffc0dd2195f9eb", "input": "Two letters picked without replacement from {x: 13, b: 6}. Give prob of picking 1 b and 1 x.", "output": [ "26/57" ] }, { "id": "task835-e7b6705210f844d28805838470df9bca", "input": "What is the next term in 143, 288, 435, 584, 735?", "output": [ "888" ] }, { "id": "task835-737eb4da82fa4538891186244b515806", "input": "Calculate prob of picking 2 g and 1 f when three letters picked without replacement from {g: 11, l: 1, n: 1, h: 1, f: 1}.", "output": [ "11/91" ] }, { "id": "task835-20d0d13e2cdc4ee09deff1a288c5b776", "input": "What is prob of picking 1 c and 1 z when two letters picked without replacement from {c: 6, k: 1, z: 8, d: 1}?", "output": [ "2/5" ] }, { "id": "task835-fa9dbb79968d46faad4a88bf522562bf", "input": "Solve -y = -x + 4*x + 11, 2*x - 10 = -5*y for x.", "output": [ "-5" ] }, { "id": "task835-f80b58458911440f96e348089e1fcf91", "input": "What comes next: 24, 51, 78, 105, 132, 159?", "output": [ "186" ] }, { "id": "task835-025eb63c7eab409685a9a8d113310ac7", "input": "What is eleven quarters of a milligram in micrograms?", "output": [ "2750" ] }, { "id": "task835-ca8789b139f844199ec0e9c3bbb9a3ab", "input": "Let a(y) = y**2 + 10*y - 12. Let v be a(-12). Let n(p) = p**3 + 3*p**2 + 1. Let r be n(-3). Let b be (6/v)/(r/40). Solve h = 5*h - b for h.", "output": [ "5" ] }, { "id": "task835-e5ba3b7088e440b7b5d1e1767574ae0d", "input": "What is -135 times -20?", "output": [ "2700" ] }, { "id": "task835-548399c25c184a60a71db9539d93e9b5", "input": "Let f = 309/5 - 2441/45. Calculate the common denominator of f and 4/9.", "output": [ "9" ] }, { "id": "task835-0abf61db3af34ac48da34cd89bd4525c", "input": "Calculate 5 - (-1 + 3 + -2).", "output": [ "5" ] }, { "id": "task835-20b8e48de9ed41399b09ac3a359a4f90", "input": "Evaluate (-1 - (10 + 4)) + 10.", "output": [ "-5" ] }, { "id": "task835-120b4a6345af4bdc85bc5629ae6b88c1", "input": "Evaluate -4 + (-5 - -11) - 4.", "output": [ "-2" ] }, { "id": "task835-cc1b0ec4c0774b309790352c12c87d1e", "input": "Let g(h) = h**2 + 3*h + 3. Let r be 2 + 6/(-1) + 2. Let z be g(r). Let n be (0 - z)*(-25)/5. What is the highest common factor of n and 30?", "output": [ "5" ] }, { "id": "task835-4a206656d3b04fdf9bfa8c3859886b24", "input": "5*-483", "output": [ "-2415" ] }, { "id": "task835-9b05b3cd368949ecbd621368913c31aa", "input": "What is twenty-five halves of a tonne in kilograms?", "output": [ "12500" ] }, { "id": "task835-8919a1cb10f940f29b760128c8670ee2", "input": "What comes next: 20, 30, 48, 74, 108?", "output": [ "150" ] }, { "id": "task835-6978b01c00374abd88573cafd3da897b", "input": "Let s = 11 + -3. Solve -y - s = y for y.", "output": [ "-4" ] }, { "id": "task835-6f68e4e7f9444bb8aa7a8ed0d1ffafbd", "input": "How many nanometers are there in 21/2 of a micrometer?", "output": [ "10500" ] }, { "id": "task835-2be9fe3a6c8940a48c1c36dd63bb25bf", "input": "How many nanoseconds are there in 3/25 of a microsecond?", "output": [ "120" ] }, { "id": "task835-74cf5b94eeb84a5eb5b4ba87b26a4470", "input": "Calculate prob of sequence vgv when three letters picked without replacement from vjgajvpgw.", "output": [ "1/126" ] }, { "id": "task835-f024d5547b8143c3bb7f35340b50dc02", "input": "Let w be (1 + 1/(-1))/(-1). Suppose -2*n + 20 = 3*n - 5*b, w = 4*b. Solve -r = g, n*g + 0 = 3*r + 28 for r.", "output": [ "-4" ] }, { "id": "task835-4cb6f8a2f15e4f68b904441fb98d7e3a", "input": "How many milliseconds are there in six fifths of a second?", "output": [ "1200" ] }, { "id": "task835-6d73bd54bc144171a799c97d6fa92ca9", "input": "Let w = 0 - -1. Suppose 90 = 5*q + 5*n, -2*q - 4*n + 0*n = -30. Suppose 4*c = 3*h - 2*h + 9, 5*h + 2*c - q = 0. Solve -w - h = -4*g - z, 4*g - 4 = -4*z for g.", "output": [ "1" ] }, { "id": "task835-d8e48f1701494e62b7cc0e14eccf5c88", "input": "What is the product of -0.4301 and -0.4?", "output": [ "0.17204" ] }, { "id": "task835-8ffaf9a706284dcba59f3f81c05034fc", "input": "What is eight thirds of a millennium in months?", "output": [ "32000" ] }, { "id": "task835-e00309fa538446dc81aae42573992958", "input": "How many millennia are there in 555.8429 years?", "output": [ "0.5558429" ] }, { "id": "task835-76823ec80cf94b15bd803152728cfefd", "input": "Three letters picked without replacement from mwwswwmswmuummwwmwww. What is prob of sequence usm?", "output": [ "1/285" ] }, { "id": "task835-49abc448abbf48b98908edd1007d81a0", "input": "What comes next: -61, -122, -183, -244?", "output": [ "-305" ] }, { "id": "task835-7310642a835b4cde9490548f8f0c186a", "input": "What is next in -73, -66, -55, -40, -21?", "output": [ "2" ] }, { "id": "task835-cfe2a69dcf114943839c351eed350738", "input": "Let q = 11 + -7. Let o(n) = -n**3 + 11*n**2 + 12*n + 3. Let v be o(12). Let w(f) = -f**2 + 6*f - 4. Let i be w(4). Solve -v*l = -i*l + q for l.", "output": [ "4" ] }, { "id": "task835-a53c354c735048e3920b8373e19cf0fc", "input": "Let n(b) = -2*b**3 - 6*b + b - 6 + b**3 - 5*b**2. Calculate the remainder when n(-5) is divided by 10.", "output": [ "9" ] }, { "id": "task835-81438e116ae247e8aafb58115dcbb076", "input": "Solve 3*l = -l + 12*l for l.", "output": [ "0" ] }, { "id": "task835-31f61e0b5f79467bbd7141ca80ee3b72", "input": "Let s(o) = -9*o + 2. What is the remainder when s(-3) is divided by 17?", "output": [ "12" ] }, { "id": "task835-84e6381c6dc44e91addd64a10d906ca0", "input": "How many months are there in 6/5 of a century?", "output": [ "1440" ] }, { "id": "task835-db63929975814bf8a578ac9213946bb0", "input": "Product of 0.157 and 2.", "output": [ "0.314" ] }, { "id": "task835-6808a76f0d1d4700a436ed596e215c0e", "input": "What is 1/15 of a century in months?", "output": [ "80" ] }, { "id": "task835-68b06291246b4adf8cdda8d5cb53892d", "input": "Solve 5*a = -2*h + 15, 0 = -2*h + 6*a - 2*a - 12 for h.", "output": [ "0" ] }, { "id": "task835-3d8ac548e8e54e98b87865303a716441", "input": "Solve 2*u - 5*b + 16 - 56 = 0, -4*u - 4 = 4*b for u.", "output": [ "5" ] }, { "id": "task835-2cce4516e7e04a30aa35932f40acb940", "input": "Suppose 4*i + i = 45. Suppose 3*u = i*u - 132. Let v = -82 + 147. Calculate the remainder when v is divided by u.", "output": [ "21" ] }, { "id": "task835-e343659f30d34f9393e1170435955c6d", "input": "Let p(h) = h**2 - 8*h - 2. Let v be p(8). Suppose 0 = 5*s - 50 - 40. Calculate the smallest common multiple of s and ((-56)/(-20))/(v/(-10)).", "output": [ "126" ] }, { "id": "task835-3059d15ee9854e869c81cb04d2a4c16e", "input": "Let k(j) = j + 9. Let q be k(-7). Suppose 4*p + 21 = -t, q*p = -0*p - 2*t - 6. What is the units digit of 10/p*3/(-1)?", "output": [ "5" ] }, { "id": "task835-43b667f8613c4380b0df446021b30ae8", "input": "Let z = -62 - -110. Let l = z - 9. What is the units digit of l?", "output": [ "9" ] }, { "id": "task835-4a2c09e826114268b0ca726021203065", "input": "Let b(l) = -l**2 + 5*l. Let d be b(4). Suppose 2*c - k - 8 = 0, 5 = -c - k + 6. Let h(q) = 2*q**2 - 2*q + 2. Let w be h(c). Solve w - d = -5*v for v.", "output": [ "-2" ] }, { "id": "task835-9b04a3df5cc74126baff875c3cd8152c", "input": "Suppose -2*g - q = -15, -6*g + q + 27 = -2*g. Let s = 1 - -6. Calculate the highest common factor of g and s.", "output": [ "7" ] }, { "id": "task835-d3a693e6f20041e68e7d8ba5d5da26c8", "input": "Let d(u) = 23*u - 66. What is the hundreds digit of d(10)?", "output": [ "1" ] }, { "id": "task835-e10babb502e646989705a3da7d32e835", "input": "Three letters picked without replacement from {q: 6, i: 2, x: 4, p: 1, b: 3}. What is prob of sequence xxx?", "output": [ "1/140" ] }, { "id": "task835-d7c6f5f1ccee4cb0b70ebcf7f0a4c589", "input": "Suppose 2*j = 7*j + 385. Let r = -26 - j. What is the units digit of r?", "output": [ "1" ] }, { "id": "task835-f184315f233846f7a35110b12402d6b5", "input": "Solve 4*s = -t + 10, 7*t + 3*s + 1 = 2*t for t.", "output": [ "-2" ] }, { "id": "task835-bf6ebda7a94947599addd1d70c4b4e3b", "input": "How many hours are there in 84.815874 milliseconds?", "output": [ "0.000023559965" ] }, { "id": "task835-14655e738d924a568321a61b803b8450", "input": "Suppose -25 = -3*c + 29. What is the highest common factor of 18 and c?", "output": [ "18" ] }, { "id": "task835-bb0de876ccd44756ab5269eae79f9825", "input": "What is 2900 to the power of 1/7, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-a4ceee1e7c4a46e4a0ae755fa97f91ca", "input": "Suppose -2*l - 48 = -6*l. Let h = 17 - 30. Let g = 119 - h. What is the greatest common divisor of l and g?", "output": [ "12" ] }, { "id": "task835-85fed42efc3247eb953553d06c1afd56", "input": "Let s(d) = 4*d. Let u be s(2). Let t(b) = b**2 - 8*b + 5. Calculate the smallest common multiple of t(u) and 3.", "output": [ "15" ] }, { "id": "task835-23a2b1165e6347e188c85c30b770f7d1", "input": "Let a = -149/28 + -8/35. What is the common denominator of a and 81/4?", "output": [ "20" ] }, { "id": "task835-caa8777600a74fc3962b5ff7c5b67c7b", "input": "Suppose 0 = -5*d + 17 + 3. Let i(m) = m - 4. Let k be i(d). Suppose 5*w - 3*j = 14, 5*j - 2 = 2*w - k*w. Solve -w = -2*l + l for l.", "output": [ "4" ] }, { "id": "task835-9d02826a1d2246faa134c9d5770518d0", "input": "What is 384 divided by -3?", "output": [ "-128" ] }, { "id": "task835-362c140a405b466a9843acd2be61a65b", "input": "Four letters picked without replacement from {y: 3, t: 4, x: 2, r: 4, k: 1, o: 1}. What is prob of picking 2 y, 1 o, and 1 r?", "output": [ "4/455" ] }, { "id": "task835-d2c8c362d6404cd4a9d1edfb9b106bfc", "input": "Solve -8*y = -7*y + 5*y for y.", "output": [ "0" ] }, { "id": "task835-9d1e1f6bcb2f420b87a3327acafee172", "input": "Four letters picked without replacement from zmzmzdmdzzzmmzdmmmzd. What is prob of picking 3 m and 1 z?", "output": [ "448/4845" ] }, { "id": "task835-0d9a5a0ed40843f38ba7a16d55298b81", "input": "Solve -3*w - 4 = -h - 8*w, 4*h = -2*w - 2 for h.", "output": [ "-1" ] }, { "id": "task835-2c0c1da446f842cca4ad6d7b0a20137a", "input": "Subtract -13.9 from 3.", "output": [ "16.9" ] }, { "id": "task835-622c61421d19424082fd5a09e4005afb", "input": "Calculate prob of sequence qkh when three letters picked without replacement from {h: 4, k: 2, n: 3, q: 1}.", "output": [ "1/90" ] }, { "id": "task835-ebcfeb7c4a664dfcbcaac81d76ad4490", "input": "What is 3/8 of a litre in millilitres?", "output": [ "375" ] }, { "id": "task835-9b6e583014e04077a7f9d9387c2fb854", "input": "What is the value of 40/180*45/(-20)?", "output": [ "-1/2" ] }, { "id": "task835-073dc93c12bc4b5ab7fb37af69b903a7", "input": "Two letters picked without replacement from mfmmmmmm. Give prob of picking 1 m and 1 f.", "output": [ "1/4" ] }, { "id": "task835-9136df6a5f634db68e4c220ccb49c6c8", "input": "Solve 2*r + 12 = 18 for r.", "output": [ "3" ] }, { "id": "task835-e315325d12a64eb580b43b7dd79c6608", "input": "What is 2679 to the power of 1/8, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-c402e5a1d7574e41a05e93120ad54893", "input": "What is prob of sequence fo when two letters picked without replacement from {o: 2, f: 1, n: 2, u: 4}?", "output": [ "1/36" ] }, { "id": "task835-0fe255375666455eb54fc5fabb04b1e4", "input": "Two letters picked without replacement from zaziiaaaaiiiaiaaiai. What is prob of sequence ii?", "output": [ "28/171" ] }, { "id": "task835-39f73065221b4365ad57b6c9840ee0e5", "input": "Calculate prob of picking 2 g and 2 f when four letters picked without replacement from fgggfggggf.", "output": [ "3/10" ] }, { "id": "task835-e7cca82ecdb3429da7848650a4c62825", "input": "Solve -53*d + 54*d - 2 = 0 for d.", "output": [ "2" ] }, { "id": "task835-22e361717276438188861d6491ad6afc", "input": "Let c = 4 - 2. Suppose 0 = n + c*n - u - 27, -3*n + 18 = 2*u. Suppose 3*p - n = 4. Solve 0 = 3*w - p - 2 for w.", "output": [ "2" ] }, { "id": "task835-c176d43fa4e04ff7a72dda0fdaee7756", "input": "Calculate prob of picking 3 y and 1 a when four letters picked without replacement from yyzayyyyy.", "output": [ "5/18" ] }, { "id": "task835-76ba8c988ef64ed68fd8921d3a06bc30", "input": "Three letters picked without replacement from {d: 5, p: 4, l: 4, c: 3}. Give prob of picking 2 p and 1 l.", "output": [ "3/70" ] }, { "id": "task835-ba92d15793cf40b3b25586ad5da2cef8", "input": "Let m(v) = -27*v**3 - v - 2. Let n be m(-1). Let r be (-2*3)/(n/(-13)). Solve -c = 2*c + r for c.", "output": [ "-1" ] }, { "id": "task835-dec9048a327d467ea801823b4dd52257", "input": "What is 3/10 of a millennium in years?", "output": [ "300" ] }, { "id": "task835-6234557d77ab4021b61c8303a2cfc033", "input": "(1 - (-10 - -13)) + 0 + -8", "output": [ "-10" ] }, { "id": "task835-295448c0815f42d597ef2803c38ebed1", "input": "Let d(h) = 2*h**2 + h - 4. Let c be d(-2). Solve 6 = -c*g - 2 for g.", "output": [ "-4" ] }, { "id": "task835-46c763487f6c459189a1adeb764d1ebd", "input": "Solve 0 = 79*g - 72*g - 63 for g.", "output": [ "9" ] }, { "id": "task835-a15f8d2d12024c1593471003af95b7bf", "input": "How many micrometers are there in twenty-one quarters of a millimeter?", "output": [ "5250" ] }, { "id": "task835-bc4d540b20504f95898dbc9904fbd52f", "input": "Three letters picked without replacement from {f: 5, b: 14}. Give prob of picking 2 b and 1 f.", "output": [ "455/969" ] }, { "id": "task835-7c736e7e69294b2197ba0a5d5fe7d76c", "input": "What is 5.711975 hours in minutes?", "output": [ "342.7185" ] }, { "id": "task835-096658b1faf744bb814b790d4be688f2", "input": "Let b(p) = -p**3 - p**2 + 2. Let x be b(0). Let f = -6 - -8. Suppose a - f = -1. Solve x = w - a for w.", "output": [ "3" ] }, { "id": "task835-912b03ff6c8343a7b5084023015765ab", "input": "Let x(n) = -n + 5. Let u = 20 + -10. What is the smallest common multiple of x(3) and u?", "output": [ "10" ] }, { "id": "task835-67c11818615f4a9b82c2c0ccd843c0d1", "input": "Suppose -2*v + 3*l - 12 = 0, -3*l = -0*v + 2*v - 12. Suppose v = i + i - 42. Calculate the remainder when i is divided by 6.", "output": [ "3" ] }, { "id": "task835-f71ae0f40b56449a8601d98d13212561", "input": "Two letters picked without replacement from {m: 2, n: 2, j: 1, i: 1, l: 2}. Give prob of sequence im.", "output": [ "1/28" ] }, { "id": "task835-9e35cd6e905c49cf90967139444851e2", "input": "How many milligrams are there in 461.0014t?", "output": [ "461001400000" ] }, { "id": "task835-1862726d08624f8a8a15cee7351b726d", "input": "In base 11, what is 2 + 1649?", "output": [ "1650" ] }, { "id": "task835-173658369fd6404bb94f511228d3f02f", "input": "How many milligrams are there in 11/8 of a gram?", "output": [ "1375" ] }, { "id": "task835-727d57c172164192b83b35c085d20c58", "input": "Two letters picked without replacement from {w: 4, v: 2, o: 1, q: 2, k: 2, x: 4}. What is prob of picking 1 o and 1 v?", "output": [ "2/105" ] }, { "id": "task835-7a998b63447d4fd081b8bf5668253740", "input": "Suppose -j = 30 - 80. What is the remainder when j is divided by 17?", "output": [ "16" ] }, { "id": "task835-83ce57d026174bf391d92d6907573071", "input": "(-1 + 3)/(-1 - (-9 - 2))", "output": [ "1/5" ] }, { "id": "task835-50fa7c4c67234bc28add943bf826a893", "input": "Suppose -55 = -8*l + 3*l. Let k = l + -7. What is the units digit of k?", "output": [ "4" ] }, { "id": "task835-8c85ea53869f4947a1af379329345405", "input": "Let z be (-2 + 1)*2 + 35. Let n = z - 19. Calculate the lowest common multiple of 38 and n.", "output": [ "266" ] }, { "id": "task835-3a61e6f41bbd4d48910e546e741e6f58", "input": "How many millimeters are there in six fifths of a centimeter?", "output": [ "12" ] }, { "id": "task835-63506fee5fef41e7a3de688eb43266f8", "input": "Let z be 4/(-14) - (-492)/7. What is the highest common divisor of z and 14?", "output": [ "14" ] }, { "id": "task835-034f17958aa240478ea96200533b0ba4", "input": "Four letters picked without replacement from msssmssssm. What is prob of picking 1 s and 3 m?", "output": [ "1/30" ] }, { "id": "task835-8d8002ce2be5487b831f91774df91ecd", "input": "Calculate prob of sequence zyyy when four letters picked without replacement from yzyzzyzzyzyz.", "output": [ "7/198" ] }, { "id": "task835-1dab0410ee944787a5e6566b37d09ea0", "input": "Solve 0 = 3*v - 3*m - 8 + 5, -5*v - 2*m = -19 for v.", "output": [ "3" ] }, { "id": "task835-210c5e8e7bd647c9adabbdeb4fc15255", "input": "Let t(c) = -97*c + 9. What is the hundreds digit of t(-2)?", "output": [ "2" ] }, { "id": "task835-a9fb8e20622d401b87005f8187597894", "input": "Solve 3*n + 16 = -5*c + 38, -3*n = -c - 10 for n.", "output": [ "4" ] }, { "id": "task835-10003a539b584f27a2d1fb87553b3e86", "input": "Let h be (138 + 0)/3 - 2. Calculate the common denominator of (-37)/11 + 8/h and -34.", "output": [ "11" ] }, { "id": "task835-23a86631715a45cf9888933c9bcde0fd", "input": "Four letters picked without replacement from bbbsbbbsbbkkkssbbb. What is prob of picking 2 s and 2 b?", "output": [ "11/102" ] }, { "id": "task835-b51fee5feb174f9fa14671b684d7c8c8", "input": "Let b = 37 - -12. What is the remainder when b is divided by 26?", "output": [ "23" ] }, { "id": "task835-305af5424d3c461d8f1ab36f358551f9", "input": "Calculate ((-5)/25)/(3/(-75)).", "output": [ "5" ] }, { "id": "task835-b9c56b4bba5c4b16a3446705fb2bba79", "input": "Suppose 4 - 1 = 3*p + 5*n, -3*n - 9 = 0. Let d(c) = c**2 - 6*c. Let m be d(p). Suppose 2*q - 23 = b, m = -0*q + 4*q + 3*b - 21. What is the units digit of q?", "output": [ "9" ] }, { "id": "task835-beb0a8bef346435a8d03fe5e09493838", "input": "Solve 13*z - 7*z + 30 = 0 for z.", "output": [ "-5" ] }, { "id": "task835-aeca3e14852542c983c4aadb8ba980d7", "input": "Solve -2*m + 1 + 14 = 5*j, 5*j = 2*m + 35 for m.", "output": [ "-5" ] }, { "id": "task835-291b26d998a345fba51d0adb144e773a", "input": "Suppose k = 21 - 15. Calculate the greatest common factor of k and 2.", "output": [ "2" ] }, { "id": "task835-cc6f08c323b74438a5db2d447f77eb34", "input": "Calculate -4332 divided by 1444.", "output": [ "-3" ] }, { "id": "task835-f90fb1bfd42d40078af9c1fa7075f7f2", "input": "Calculate prob of picking 1 e and 1 b when two letters picked without replacement from {e: 6, b: 4, n: 1}.", "output": [ "24/55" ] }, { "id": "task835-45d03a91c4894bfe9bbbff10f06c067d", "input": "0.897 * 0.1", "output": [ "0.0897" ] }, { "id": "task835-e6cf7d644f2541e5af5184fac1018f36", "input": "Let m = -98 + 226. Calculate the highest common divisor of 16 and m.", "output": [ "16" ] }, { "id": "task835-9d69663bb0fe493ea4f01cbeb122f73f", "input": "How many meters are there in 52256.08nm?", "output": [ "0.00005225608" ] }, { "id": "task835-bd0603e502034eb7b42d2d02455fbdb4", "input": "What comes next: 97, 95, 93, 91, 89, 87?", "output": [ "85" ] }, { "id": "task835-7b3cd73c94c147dc889e8615d4db5212", "input": "How many centuries are there in 78115.17 years?", "output": [ "781.1517" ] }, { "id": "task835-00d422072ef240238499dd8c41d62b94", "input": "Let i = -28 - -30. Suppose 4*z + 5*k = 200, -i*z + 81 = -k - 33. What is the tens digit of z?", "output": [ "5" ] }, { "id": "task835-c7ef7bcee411457a852044cf7c250f62", "input": "Let x(i) = i**3 + 5*i**2 - 6*i + 2. Let m be x(-6). Suppose 0 = -m*d + d + 13. What is the tens digit of d?", "output": [ "1" ] }, { "id": "task835-124f524716b84fb182e8f94555dc6a44", "input": "How many seconds are there in 1/36 of a week?", "output": [ "16800" ] }, { "id": "task835-98cacd62ff1e47e4a7d296a633820027", "input": "Calculate prob of sequence vm when two letters picked without replacement from mmmvejveveememmvmmmv.", "output": [ "9/76" ] }, { "id": "task835-71290ca7acfe4a78af5fadd65c34ac75", "input": "Divide 64 by -32.", "output": [ "-2" ] }, { "id": "task835-780593ad6dd6463096394e99999ed436", "input": "Suppose -3*z + 133 = 4*n - 10, 5*n = 25. Let l = -21 + z. Let r = l + -11. Calculate the least common multiple of 7 and r.", "output": [ "63" ] }, { "id": "task835-b4b23d6432a848139834f8237ec0b850", "input": "In base 9, what is -356 + -2?", "output": [ "-358" ] }, { "id": "task835-1b85495acd4b4194a32a6f33d9b81ed9", "input": "What is the tenth root of 6568 to the nearest integer?", "output": [ "2" ] }, { "id": "task835-c11e4508f616484d9292e8a253e8087e", "input": "Suppose -6 + 6 = 2*n. Solve 5*c - 5 - 10 = n for c.", "output": [ "3" ] }, { "id": "task835-f48c4c98235a47328ad92539d266386f", "input": "What is 31/2 of a microsecond in nanoseconds?", "output": [ "15500" ] }, { "id": "task835-2645340c556543aa8f6c2b4e9ae3baaa", "input": "13/(-5) - (-1 + 3)/(-1)", "output": [ "-3/5" ] }, { "id": "task835-0dc28971da2e49dfb3737c8340247de2", "input": "How many millilitres are there in 8293.02 litres?", "output": [ "8293020" ] }, { "id": "task835-c1581397682c45c5bcfe3d47074e8f1a", "input": "Let f be 2/(-5) + 44/10. Suppose -w + 2 - f = 0. Calculate the remainder when 19 is divided by 10 + (w - -2 - 0).", "output": [ "9" ] }, { "id": "task835-6a0ae869df0c44b0b55287ebfbf9447e", "input": "Let u = -10 + 18. Let c = 4 - 3. Calculate the smallest common multiple of c and u.", "output": [ "8" ] }, { "id": "task835-0c52459262fe41a2b1d7c5aaf2fe5bdc", "input": "What is 43423.55 kilograms in milligrams?", "output": [ "43423550000" ] }, { "id": "task835-89b1daf17d2649a68366c4d9edc834f0", "input": "What is the next term in -3976, -3972, -3968, -3964, -3960, -3956?", "output": [ "-3952" ] }, { "id": "task835-1d553d82e8544d06a1e6efe5325ad8e4", "input": "Let x be (2 + 0)*1 - 31. Let n = x - -44. Let u be ((-2)/(-5))/(3/n). Solve -u = -2*v + 3*f, -2*f - 22 = -5*v - 3*f for v.", "output": [ "4" ] }, { "id": "task835-be67f47f6a1d478b8e521e6ba3b782d8", "input": "Three letters picked without replacement from fpzdhps. What is prob of sequence fhz?", "output": [ "1/210" ] }, { "id": "task835-10161dfc099f498b8ae97924bcb6653c", "input": "What is (2/(-2)*5)/1?", "output": [ "-5" ] }, { "id": "task835-092280f809654d748d0aebd0fbf4f576", "input": "Three letters picked without replacement from {m: 4, l: 3, w: 2, s: 3, j: 6, f: 1}. Give prob of sequence fjl.", "output": [ "1/323" ] }, { "id": "task835-3b804cb23dcc4d34b1948b3e25d2a25d", "input": "Calculate prob of sequence zl when two letters picked without replacement from llllllzl.", "output": [ "1/8" ] }, { "id": "task835-20ccc1ccce5b42db9022efbfc8ee8691", "input": "What is prob of sequence hhkd when four letters picked without replacement from {h: 3, k: 13, d: 1}?", "output": [ "13/9520" ] }, { "id": "task835-4f33294168d54eb086ab88c7bddf87c1", "input": "Suppose 0*m - 4 = -2*m. Suppose p - 2*j = -1, -6*j + 7 = m*p - j. What is the remainder when 49 is divided by p*19 + 2/(-1)?", "output": [ "15" ] }, { "id": "task835-52f6427d4af04ad3b2fd0e7f7ff24591", "input": "How many millilitres are there in 3.861906l?", "output": [ "3861.906" ] }, { "id": "task835-c6e74c64b1f3422fbab1f88fb347ac78", "input": "How many micrograms are there in 6/25 of a milligram?", "output": [ "240" ] }, { "id": "task835-18e0fcc0630946dfabc68c0cf0bfe69c", "input": "Calculate the remainder when 38 is divided by (-95)/(-10) - (-2)/4.", "output": [ "8" ] }, { "id": "task835-ffc3af28e4234aa39cc814a8b4f1dbed", "input": "Suppose 0 = f + 1, 17*f = 5*w + 12*f - 15. Suppose -3*s + 2 = -13. Suppose s*c + 3*j = 36, 3*c + 0*j - 18 = -3*j. Solve 20 = a - 5*z, -2*a + c = -w*z - 7 for a.", "output": [ "5" ] }, { "id": "task835-cf940a3581ac42cb9866c86c0a0a2b61", "input": "Calculate 0.1*4.7.", "output": [ "0.47" ] }, { "id": "task835-940ec93d00254660a9f65077d36ec422", "input": "Calculate 6217*-1.", "output": [ "-6217" ] }, { "id": "task835-2776c3b67ef749318015d18f591f392f", "input": "What is 7025 to the power of 1/8, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-4aeaad4fe1724f9e9ac6e0a90370b03a", "input": "What is the value of -14 - ((2 - 3) + -11 + 9)?", "output": [ "-11" ] }, { "id": "task835-c82889e8a81e48d9b71c7ae0c6165c6c", "input": "How many minutes are there in four thirds of a day?", "output": [ "1920" ] }, { "id": "task835-353fb8b0a2974fa6bb2963ee7f550f19", "input": "Two letters picked without replacement from iinuiiiunnni. What is prob of sequence uu?", "output": [ "1/66" ] }, { "id": "task835-7b7e2b7da6bf48c2b1a50d4c992f1ce7", "input": "Let s(v) = v + 4. Suppose -m - m = 0. Let x be s(m). Solve x*l - 7*l = 5*k - 40, -4*k = -20 for l.", "output": [ "5" ] }, { "id": "task835-b59d21b0ea18417db5c4dacee59be865", "input": "Three letters picked without replacement from {k: 3, x: 6, c: 2, e: 4, z: 1}. What is prob of picking 1 e, 1 k, and 1 c?", "output": [ "3/70" ] }, { "id": "task835-c4e06e6b12d542f6b2ba1aa2a3602b15", "input": "Calculate (-1 - ((-6 - 1) + 3)) + -5.", "output": [ "-2" ] }, { "id": "task835-237f08d4a2b9452b822c0d51b2c619ef", "input": "Suppose 3*j - 5*m = 41, 5*j + 0*j = 4*m + 77. Suppose -2*p - p - j = -5*x, -2*x - 3*p = 10. What is the units digit of (x + 0)*(3 - -8)?", "output": [ "1" ] }, { "id": "task835-9b17cff9e1a641609d124010c2e8718d", "input": "Let c = -63371/8565 - 2/1713. Find the common denominator of c and -73/12.", "output": [ "60" ] }, { "id": "task835-fd352bc3308e4d37ba6fc8cbeaed4e2b", "input": "Four letters picked without replacement from agruriarirtuurr. What is prob of picking 1 g, 1 u, and 2 r?", "output": [ "3/91" ] }, { "id": "task835-5cc41f2e32954cfb9364277825cb25b0", "input": "Convert 69491.4 millilitres to litres.", "output": [ "69.4914" ] }, { "id": "task835-5531b87c0b5a4e0e950c065de4ef032a", "input": "How many years are there in 21/5 of a century?", "output": [ "420" ] }, { "id": "task835-a54dc3bf18ca4163b2e0d2ce0ef56efb", "input": "Let x be ((-70)/(-8))/((-1)/(-8)). Suppose 2*n - 5*c - x = 0, 4*n + c = 2 + 94. Solve -2*d + 5*u = -3*d - 5, 5*u + n = 3*d for d.", "output": [ "5" ] }, { "id": "task835-9b366206f4834cfb9ce91610f23316f5", "input": "Calculate 2*-142.", "output": [ "-284" ] }, { "id": "task835-d4b2b3b6e00145f2a7cc5c1f626a3571", "input": "Let x = -8 + 11. Suppose u - 3*a = 5, -5*u + 11 = -0*a - a. Suppose c = 4*p - 10, 5*p - 12 = p + u*c. Calculate the remainder when x is divided by p.", "output": [ "1" ] }, { "id": "task835-d283c0cdd4d6408fb0870e9eec26cfd4", "input": "Let f = -4 + 15. What is the units digit of f - (-3 - (-3)/3)?", "output": [ "3" ] }, { "id": "task835-db618096ff5b4c4ab8151e217c105e49", "input": "Convert 0.268776 millennia to centuries.", "output": [ "2.68776" ] }, { "id": "task835-9054a8e25c1a49c982af04c598e17259", "input": "Solve -2*b + 28 = -5*q, -b - q + 4 = b for b.", "output": [ "4" ] }, { "id": "task835-79aa845048df478bb6bc3f8c8157e08a", "input": "What is prob of picking 1 y and 1 n when two letters picked without replacement from jynnyyjynm?", "output": [ "4/15" ] }, { "id": "task835-30614f0c4a0041d9875855f5907a792c", "input": "What is the remainder when 51 is divided by 460/36 + (-4)/(-18)?", "output": [ "12" ] }, { "id": "task835-8ec3b803ff5a4154806bcb841b52846c", "input": "What is -66 divided by 2?", "output": [ "-33" ] }, { "id": "task835-84f3e195365545eb9ac81ef99e09aa27", "input": "Suppose -o = 4*o - 5*r - 80, 0 = -2*o - 5*r + 25. Let z = 9 - o. Find the common denominator of z*(-3)/12*9 and -33/4.", "output": [ "4" ] }, { "id": "task835-78346cc67ad04f5995d7a1a89fb8ba87", "input": "Evaluate (4*(-3)/(-96))/(-1).", "output": [ "-1/8" ] }, { "id": "task835-25fdf7c7fed74972a31810c341bfb8b1", "input": "Three letters picked without replacement from {f: 11, i: 2, p: 1}. What is prob of sequence pff?", "output": [ "55/1092" ] }, { "id": "task835-3acc6d9b2f50445f9d2796067e7e1536", "input": "Four letters picked without replacement from vjxsxjsjj. What is prob of sequence jxvx?", "output": [ "1/378" ] }, { "id": "task835-434b4b550caf4e5ea020f4370be0ff41", "input": "Let y be ((-100)/15 + 4)*-3. What is the highest common factor of 20 and y?", "output": [ "4" ] }, { "id": "task835-1acf202700534228b66bd3cd9534db7a", "input": "Calculate ((-7)/1)/(-12*(-6)/72).", "output": [ "-7" ] }, { "id": "task835-c5352d57d2794176b43c6c9dcb7582e8", "input": "In base 3, what is -11112 + -1?", "output": [ "-11120" ] }, { "id": "task835-0dc46b17e58e4336bdcba0baf04b6a43", "input": "Solve 6 = 7*w - 9*w for w.", "output": [ "-3" ] }, { "id": "task835-521101d5f5ef48258c94ebb3e1e8daaf", "input": "Four letters picked without replacement from kkkkkckckkc. Give prob of sequence kkkc.", "output": [ "7/55" ] }, { "id": "task835-ed377474a6114ed18f25c2fa60c83730", "input": "Let m = 6 + -2. Let n(z) = m - 2 - z**2 - 9*z + 1. What is the remainder when n(-7) is divided by 9?", "output": [ "8" ] }, { "id": "task835-f842408bf42747a3be394b1a283f06b5", "input": "What is the value of (9/((-495)/(-4)))/(2/5)?", "output": [ "2/11" ] }, { "id": "task835-830e33ee339f47b09de319037898763c", "input": "Suppose 3*q = -6*q + 360. What is the highest common divisor of q and 280?", "output": [ "40" ] }, { "id": "task835-c6d35cb3a79a4a0a86bfa68c7cb2451a", "input": "What is 7/4 of a microsecond in nanoseconds?", "output": [ "1750" ] }, { "id": "task835-bc00fbf74c264e8588a9c389a1c9b86e", "input": "What is prob of sequence guuz when four letters picked without replacement from ugzuugggjguzubjj?", "output": [ "5/1092" ] }, { "id": "task835-344466f8a51f40c7bcb740f153adc5ef", "input": "What is -19.2 times 0.4?", "output": [ "-7.68" ] }, { "id": "task835-67506d3d2f194da5987e8c867a91205b", "input": "How many decades are there in one fifth of a century?", "output": [ "2" ] }, { "id": "task835-cff68ac3529646afb1715b9d31016f0d", "input": "What is eleven tenths of a centimeter in micrometers?", "output": [ "11000" ] }, { "id": "task835-33b50545f39f457ab12d90915d6ecf75", "input": "Convert 29.1925l to millilitres.", "output": [ "29192.5" ] }, { "id": "task835-786fc96f91614c31ba75695c11be0c81", "input": "What comes next: 13, 14, 11, 4, -7?", "output": [ "-22" ] }, { "id": "task835-b0fa4ac425314937a45b23696e33f1b6", "input": "Calculate 0 + 3 + -5 + -4 + 5.", "output": [ "-1" ] }, { "id": "task835-a270c0fb31cb404f97a30a0c0f3f526e", "input": "Let r = -19 + 22. Solve 0*d + 15 = -5*d - 2*m, -d = -4*m + r for d.", "output": [ "-3" ] }, { "id": "task835-2a304149b77e456db13ed48e05cb4dbb", "input": "Calculate prob of picking 2 v and 2 w when four letters picked without replacement from {e: 8, g: 3, v: 2, w: 3}.", "output": [ "3/1820" ] }, { "id": "task835-05278aef55314e20b0856e990ea479bc", "input": "Three letters picked without replacement from {l: 3, m: 1, k: 5, u: 3}. What is prob of sequence mkk?", "output": [ "1/66" ] }, { "id": "task835-1830fd9b0e7547edbf2a9a9843870065", "input": "Solve 7 = 4*a + 19 for a.", "output": [ "-3" ] }, { "id": "task835-f9904f99f80f452998f7900e9177d68f", "input": "Calculate 36/(-675)*5*3/2.", "output": [ "-2/5" ] }, { "id": "task835-b64f93e81ef34c199da11c5bec96717c", "input": "Total of 0.236 and -1.75.", "output": [ "-1.514" ] }, { "id": "task835-5b1abd3d96044920a649ab1e7a6e867e", "input": "What is -3785.7 minus 2?", "output": [ "-3787.7" ] }, { "id": "task835-00e1276cb590489c84dd4fe80095329d", "input": "Let w be 6/(-15) + (-1176)/(-15). Suppose -a = -34 - w. Calculate the greatest common divisor of a and 14.", "output": [ "14" ] }, { "id": "task835-6561bfd4e32d4a148f50543981875943", "input": "In base 14, what is -214a + -3?", "output": [ "-214d" ] }, { "id": "task835-eb094dc6623a405eb032c7912276da79", "input": "What is the product of -0.4 and -6.6?", "output": [ "2.64" ] }, { "id": "task835-c4235e4ee1834e97b41883cfde19c022", "input": "Suppose 0*r = 5*r - 35. What is the units digit of r?", "output": [ "7" ] }, { "id": "task835-f4ab907785164454bf36a5dda4bf0c0c", "input": "Let t = -16 + 23. Let c = -7 + t. Suppose 4*q = -q. Solve 3*k + c*k = q for k.", "output": [ "0" ] }, { "id": "task835-a6dd3ec803fa42a5b52bb18821ffaa59", "input": "Solve -2*h = 3*l + l + 18, -3*h = -2*l + 3 for l.", "output": [ "-3" ] }, { "id": "task835-9930843599e6471a88db6afb36100bf8", "input": "What is four sevenths of a week in days?", "output": [ "4" ] }, { "id": "task835-0efd8d77723b4f579db60ed172e3eae6", "input": "What is -3 + (3 + -1 - (1 + 2))?", "output": [ "-4" ] }, { "id": "task835-3500ad3060fc40adae1e6740675ba937", "input": "Suppose 65 = o + 4*o. Suppose 4*t - t + 2*x = 105, x = t - 40. What is the remainder when t is divided by o?", "output": [ "11" ] }, { "id": "task835-b7bd033284ea40eb8cc801631b263af4", "input": "Let n = 57/29 + 159/406. What is the common denominator of 7/16 and n?", "output": [ "112" ] }, { "id": "task835-b93371a6d9fe40a3998fd1e99ce625cb", "input": "Let m(h) = h**3 - 2*h**2 - 4*h + 4. Let x = 3 + 0. Let d be m(x). Calculate the common denominator of (d - 1) + 51/24 and 13/4.", "output": [ "8" ] }, { "id": "task835-1ec472d288974b208ef96355b4651c92", "input": "What is 9/16 of a centimeter in micrometers?", "output": [ "5625" ] }, { "id": "task835-1b2bf705d1a843d496e2cba214643926", "input": "Suppose 0 = -4*d + a + 12, -2*d - a = -3*d + 6. Suppose 0 = h + 2 - 4. What is the remainder when h is divided by d?", "output": [ "0" ] }, { "id": "task835-1ea8e05f2df04c0bb79d9bb7dce4d32e", "input": "Suppose -2*u + 2*o + 60 = 0, 4*u + 0*o = -5*o + 102. Calculate the highest common divisor of u and 42.", "output": [ "14" ] }, { "id": "task835-cb395c6ddeaf46c0a1cb17ce5aa82209", "input": "Solve -j - 4*v = 0, 0 = 11*j - 15*j - 4*v + 12 for j.", "output": [ "4" ] }, { "id": "task835-b5d6d76b556f42f1b46f0bc385fad7c8", "input": "How many hours are there in 445134.24 microseconds?", "output": [ "0.0001236484" ] }, { "id": "task835-d63544d0850b4c6ab328c63f2ed882cd", "input": "Put together -22456 and 5.", "output": [ "-22451" ] }, { "id": "task835-c28bc39098fc4d99ae5fff249262f6d1", "input": "What is the value of (-1 + -2)/(-1*(-21)/35)?", "output": [ "-5" ] }, { "id": "task835-990a0e1c077c4a61add624d197267a9a", "input": "What is seven halves of a kilometer in meters?", "output": [ "3500" ] }, { "id": "task835-8de2c31fbea149fe8509187bb2e96e1a", "input": "What is the value of ((-12)/(-3)*1)/8?", "output": [ "1/2" ] }, { "id": "task835-89cf2d60f2ec46e392e3fab48826bc7e", "input": "Convert 823.1506 tonnes to micrograms.", "output": [ "823150600000000" ] }, { "id": "task835-df33f7b4dcea4f9093c44e42186bcf19", "input": "Calculate prob of sequence cbfw when four letters picked without replacement from rfbcrww.", "output": [ "1/420" ] }, { "id": "task835-06980c537ef14e7bb778e886217af6ab", "input": "What is next in -10, -51, -154, -349, -666?", "output": [ "-1135" ] }, { "id": "task835-d425df8d26674bef96fe5ceda44f2927", "input": "What is -44 divided by 98?", "output": [ "-22/49" ] }, { "id": "task835-3e88e3e5db024f69bef3c3e3ee23dab7", "input": "Three letters picked without replacement from fgtthjtt. Give prob of sequence fth.", "output": [ "1/84" ] }, { "id": "task835-2c4d62ae9292430ab5696b41c75c1034", "input": "What is the seventh root of 29397 to the nearest integer?", "output": [ "4" ] }, { "id": "task835-e242eb25976d4a598de8009ff1a85c05", "input": "Let z = 13 + -19. Let o be 10/(-1 - 9/(-6)). Let c = o + z. Calculate the smallest common multiple of 18 and c.", "output": [ "126" ] }, { "id": "task835-c0388eb8acdf4a7884f8ee52aa92715e", "input": "What is prob of sequence tt when two letters picked without replacement from {t: 2, h: 1, u: 1, m: 2}?", "output": [ "1/15" ] }, { "id": "task835-6b7e988998164b018105fc0a5f199a07", "input": "Three letters picked without replacement from pbpebbeppppppebdpb. What is prob of sequence bdp?", "output": [ "5/544" ] }, { "id": "task835-611efeb742f042f8b03a4de95d8ae88b", "input": "Two letters picked without replacement from jbbfbbbfffo. What is prob of sequence jf?", "output": [ "2/55" ] }, { "id": "task835-18f30101338e4517a76bf3c509c553e3", "input": "What is 13288 + 3?", "output": [ "13291" ] }, { "id": "task835-3987386ba3ef43519ad2eabc95b3c985", "input": "Four letters picked without replacement from zyeooz. What is prob of sequence eozo?", "output": [ "1/90" ] }, { "id": "task835-7a42d6f192614207b2f09741d41c9edd", "input": "What is the third root of 8988 to the nearest integer?", "output": [ "21" ] }, { "id": "task835-89512183d6b34001a96f7219af6d47d6", "input": "Calculate (-1*3)/(45/(-10)).", "output": [ "2/3" ] }, { "id": "task835-d5bd08895cc54fd2a831833c0ed831a0", "input": "How many centimeters are there in 9/16 of a kilometer?", "output": [ "56250" ] }, { "id": "task835-198c0a6265104dcfaf90b21ce1a27dc6", "input": "What is 4/15 of a millennium in months?", "output": [ "3200" ] }, { "id": "task835-ed24eee0131f4aab8a7ccbef71823f15", "input": "What is 710.4317 minutes in seconds?", "output": [ "42625.902" ] }, { "id": "task835-9f5a519205df42e483cd9335aac40770", "input": "How many micrometers are there in 189724.2mm?", "output": [ "189724200" ] }, { "id": "task835-6d8945bf2db84b44b250646b8f49889b", "input": "Suppose 61 = -6*l + 223. What is the smallest common multiple of l and 15?", "output": [ "135" ] }, { "id": "task835-dfbf866955b54a7f87e88968059c7070", "input": "Convert 8.695947 nanograms to milligrams.", "output": [ "0.000008695947" ] }, { "id": "task835-4aff7915667c42f4a5ff6a485b37fd4c", "input": "Calculate prob of sequence tnt when three letters picked without replacement from jnttn.", "output": [ "1/15" ] }, { "id": "task835-d585b61bcdef4edeaef805741beeeb33", "input": "What is 51/85*((-5)/(-18))/1?", "output": [ "1/6" ] }, { "id": "task835-3c3dd56e70c14518b4cc8745704f7271", "input": "Let c = 10 - 8. Solve p + c*p = 0 for p.", "output": [ "0" ] }, { "id": "task835-c6e192bec4e04ecfa1e0961dba14cdcc", "input": "What is 37.19993 centimeters in meters?", "output": [ "0.3719993" ] }, { "id": "task835-3409e09aa6aa49059f9f9b8e47f41f98", "input": "How many months are there in 27/5 of a century?", "output": [ "6480" ] }, { "id": "task835-b76a71758b544f2cb7eb98acee611df7", "input": "What is the value of 8 + -4 + 10 + -7?", "output": [ "7" ] }, { "id": "task835-d5161f9d9a4b4515ab294533480dc6c0", "input": "Let f be (15/(-3))/(2/14). Let u = f - -64. What is the units digit of u?", "output": [ "9" ] }, { "id": "task835-5ccdaf3f2db940e39251b36f93a00742", "input": "Let t = -3/91 + -619/546. What is the common denominator of -95/8 and t?", "output": [ "24" ] }, { "id": "task835-c9ed33ca3bab4bcface62d6e1f95fc1c", "input": "Suppose -9 - 3 = 3*t. Let h = t - -11. What is the units digit of h?", "output": [ "7" ] }, { "id": "task835-3faf233160d04549872efbdd231490d1", "input": "In base 13, what is 2 - -18?", "output": [ "1a" ] }, { "id": "task835-c7f3544e49c24fc2b812ff3261bd3d5e", "input": "Let c be 0/3 + 5 - 3. Suppose c*o + 0 = 4. Solve o*l = -0*l - 2 for l.", "output": [ "-1" ] }, { "id": "task835-e7bbaac45d8c4bfa901e8f52ed914832", "input": "Let l = -20 - -38. Suppose 0 = w - 9. Calculate the highest common factor of l and w.", "output": [ "9" ] }, { "id": "task835-c7cbfbad7bb6443d9856e9d50a3b0a77", "input": "What is the cube root of 153647 to the nearest integer?", "output": [ "54" ] }, { "id": "task835-09fa3144c3e74cd09db6d21891a1453c", "input": "What is prob of picking 3 l and 1 p when four letters picked without replacement from {w: 2, p: 1, k: 1, l: 4, g: 3}?", "output": [ "2/165" ] }, { "id": "task835-3c52066bb58c4f59aa11f573e875c21f", "input": "Let o(a) = 4*a + 3. Let c be o(3). Suppose d = -0*d - 4*i - c, -3*d = 5*i + 17. Suppose -y + 5 - d = 0. What is the units digit of y?", "output": [ "4" ] }, { "id": "task835-204be47157664421bd4546fd82ca0bdc", "input": "Solve 0 = -35*a + 65*a + 270 for a.", "output": [ "-9" ] }, { "id": "task835-e74c96def91c432b85be48d2efe68daa", "input": "What is next in 17410, 17412, 17416, 17422, 17430, 17440?", "output": [ "17452" ] }, { "id": "task835-e86bfeb4a64044edb8f22be816f10821", "input": "What is 8416 divided by -2?", "output": [ "-4208" ] }, { "id": "task835-8ddd26916a8a4f7d9276920e60fefb8d", "input": "100.7*0.5", "output": [ "50.35" ] }, { "id": "task835-6ef3cbbdd94148e5907c6ddd8f17365c", "input": "Two letters picked without replacement from {x: 3, b: 2}. Give prob of picking 2 x.", "output": [ "3/10" ] }, { "id": "task835-d0ac32957275405a94e7057472f30209", "input": "What is prob of sequence gz when two letters picked without replacement from ggxzflflllfxlfxlff?", "output": [ "1/153" ] }, { "id": "task835-2af59722a955400d960aed3d9a3b26b8", "input": "Solve 3*z + 6 = -5*o, 8 = 8*z - 12*z for o.", "output": [ "0" ] }, { "id": "task835-de9b238460ba4b09ba181b7201836c33", "input": "How many days are there in 2984923.5 hours?", "output": [ "124371.8125" ] }, { "id": "task835-5112353db63c47959d9bf2aca391f953", "input": "Calculate prob of sequence yfyn when four letters picked without replacement from nwyfyn.", "output": [ "1/90" ] }, { "id": "task835-f9a4234f446f4b6db0cacc6a30387618", "input": "Three letters picked without replacement from {f: 4, u: 6, g: 7, d: 1}. Give prob of picking 1 f and 2 g.", "output": [ "7/68" ] }, { "id": "task835-6fe5efc0a5744b96a233620665eb0e6a", "input": "Calculate prob of picking 4 b when four letters picked without replacement from {r: 1, u: 3, b: 4}.", "output": [ "1/70" ] }, { "id": "task835-3beffe3ef0314accbf50cc8f5d86f7cf", "input": "Two letters picked without replacement from {i: 7, f: 3, m: 3, h: 1, j: 4}. Give prob of sequence jf.", "output": [ "2/51" ] }, { "id": "task835-13ee8f68d1f8459ca44349e5f8c875c7", "input": "Convert 0.056769 decades to millennia.", "output": [ "0.00056769" ] }, { "id": "task835-9e70859abc15434195eac1e260c5663f", "input": "Let f(q) = -q**3 - 2*q**2 + 2*q + 5. Let r be f(-3). Suppose 505 = 5*d + 5*o, 0*o = 4*o - r. Calculate the greatest common factor of d and 9.", "output": [ "9" ] }, { "id": "task835-467dc38568ca4053a52e119cd1560459", "input": "Let u be 5/(5 + -3 + -1). Solve 2 = u*r + 7 for r.", "output": [ "-1" ] }, { "id": "task835-7dd7d5c490004c6a8cae9d2eea65b7d7", "input": "What is prob of picking 1 p, 2 m, and 1 n when four letters picked without replacement from cpmimccpcnm?", "output": [ "1/55" ] }, { "id": "task835-9a52fe21097c4adfa494e9a6bf3679b4", "input": "How many nanometers are there in 0.0329471m?", "output": [ "32947100" ] }, { "id": "task835-1436bf02faab4eb98bb0c59c61b4b492", "input": "Convert 6.264243mg to tonnes.", "output": [ "0.000000006264243" ] }, { "id": "task835-b64df4b9d7ba4e33a591e0209d89c8c8", "input": "Three letters picked without replacement from pgpgp. What is prob of sequence pgp?", "output": [ "1/5" ] }, { "id": "task835-ac8228ebc8d0401db171e274e7286d6f", "input": "What is 6/5 of a micrometer in nanometers?", "output": [ "1200" ] }, { "id": "task835-974efb8f850b4a778cfb13ab0447dea4", "input": "Suppose -3*c + 5*w - 15 = 2*w, 0 = -3*w + 9. Let n be c + (-3)/(-3312)*-3973. Let p = 5/138 + n. Find the common denominator of p and -91/6.", "output": [ "48" ] }, { "id": "task835-425d531f8efd45d78e9abf095c308436", "input": "Let q = -7 - -11. Suppose q*l = 6*l. Solve 2*z - 4 = -2*f, l = -0*f + 3*f + z for f.", "output": [ "-1" ] }, { "id": "task835-bc88098735d74d1f80c7479e1ae624d2", "input": "Convert 31380.22um to kilometers.", "output": [ "0.00003138022" ] }, { "id": "task835-3f4d04d526774ca7b93daef3d401b79e", "input": "Convert 2604871.2 microseconds to minutes.", "output": [ "0.04341452" ] }, { "id": "task835-ff1539628dd349e1938b4fc7919589b8", "input": "What is 51/2 of a millisecond in microseconds?", "output": [ "25500" ] }, { "id": "task835-1fdbd2c2ede542c0826d66f62e7c0d44", "input": "What is twenty-five eighths of a kilometer in meters?", "output": [ "3125" ] }, { "id": "task835-9f92310363e34c22b1c04bb76a077c2f", "input": "Solve 412*s = 398*s + 70 for s.", "output": [ "5" ] }, { "id": "task835-3a73e3398c6d4929a7b8616dca64d881", "input": "Solve 0 = 4*f - 0*t - 4*t - 4, -4*f + t = -13 for f.", "output": [ "4" ] }, { "id": "task835-9db7061523a643d4b491beecd14c056b", "input": "Let g = -89 - -94. Solve 2*i + 1 = -g for i.", "output": [ "-3" ] }, { "id": "task835-8c80c5193a064e099b67c56e89e40374", "input": "What is prob of sequence ksy when three letters picked without replacement from klysyysysyskskskysyy?", "output": [ "28/855" ] }, { "id": "task835-52a9236826074b21b4a4e3cbcaa97cb4", "input": "Four letters picked without replacement from aaaafaffaaafaa. What is prob of sequence fafa?", "output": [ "45/1001" ] }, { "id": "task835-c98288b9222b40d9949b33d79c4d77aa", "input": "Suppose l + 0*p + 21 = 5*p, 0 = -4*l - p + 21. Solve -4*f = -0*f - l*w + 4, 0 = -2*f - 5*w - 16 for f.", "output": [ "-3" ] }, { "id": "task835-41021a80477748dcad1a15a0cd93e596", "input": "Suppose 49 = 4*i - 3*i. Suppose b + 3*q = 20, 0 = -0*b + 4*b + 4*q - 40. Suppose d + o = 11, -5*o = b*d - d - i. Solve 0 = -w + 1, -w + d = c + w for c.", "output": [ "4" ] }, { "id": "task835-e7b0f8707e2d4339a520944b46a6ad05", "input": "Suppose -2*a + h - 10 = -22, -2*a = -3*h - 20. Suppose 6*p - 18 = 4*p. Suppose 1 = -4*w + p. Solve -a = 2*j - w*f, -2*j = -j + 2*f + 8 for j.", "output": [ "-4" ] }, { "id": "task835-ac0e5ffd94f14f99bfe16d95148624ef", "input": "Convert 64.15087 litres to millilitres.", "output": [ "64150.87" ] }, { "id": "task835-e3158d7d836949b3b4e249bb918d1fd1", "input": "-1.72 * -1", "output": [ "1.72" ] }, { "id": "task835-cd62ec1f00b346a9991083021dab64e0", "input": "Let d(q) = 3*q - 10 - 3 + 0. Let s be d(6). What is the greatest common factor of 25 and s?", "output": [ "5" ] }, { "id": "task835-722c43c2da8f48bdb1fdd4caa908a4d9", "input": "Two letters picked without replacement from {o: 2, b: 2, s: 1, f: 3, d: 4}. Give prob of picking 1 o and 1 d.", "output": [ "4/33" ] }, { "id": "task835-41d41b863cf84f4e84c27ec479855353", "input": "Three letters picked without replacement from vivvvvvvvivviiivvv. What is prob of sequence vii?", "output": [ "65/1224" ] }, { "id": "task835-bfdea94c8057459cb05cb173a93d0d27", "input": "Let h(z) = 2*z + z + 0*z. Let g be h(1). Let n be (g/(-2) - -2)*34. What is the highest common factor of 17 and n?", "output": [ "17" ] }, { "id": "task835-2dc369a35bd843eba35af1b333aec6d9", "input": "How many meters are there in fourty-three halves of a kilometer?", "output": [ "21500" ] }, { "id": "task835-3c25ae84bb1d4843bcc4def126e4d004", "input": "What is prob of sequence zdz when three letters picked without replacement from qvooxvxzozdzxxv?", "output": [ "1/455" ] }, { "id": "task835-936ba2f5fac64b0a8d47f6e900773cd7", "input": "Four letters picked without replacement from {m: 5, z: 1, b: 8, h: 4}. Give prob of picking 1 b, 1 z, 1 h, and 1 m.", "output": [ "8/153" ] }, { "id": "task835-0760ca2c70da411489db1c2bcb46ccf2", "input": "Let x(p) = -p**3 - 4*p**2 - 3*p - 1. Suppose 12 = -3*u + 3*q, 5*u - 5*q = 2*u - 14. Let v be x(u). Let j = v + 5. Solve -j*g + 20 = -0*g for g.", "output": [ "5" ] }, { "id": "task835-fba9c7868210415b869a2665bd96a191", "input": "Calculate prob of picking 1 t, 1 k, and 1 z when three letters picked without replacement from {t: 1, z: 2, k: 1}.", "output": [ "1/2" ] }, { "id": "task835-96fc7f8978cf40bdab457851397d0a77", "input": "Suppose -5*q + 110 = -0*q. What is the remainder when 63 is divided by q?", "output": [ "19" ] }, { "id": "task835-2934894bafaa4a2e86aca3ba11823c6c", "input": "How many millimeters are there in 3/25 of a meter?", "output": [ "120" ] }, { "id": "task835-c24edc9595b947d1923916fdc8018ac1", "input": "Evaluate (1/(-3))/(1 - 1/3).", "output": [ "-1/2" ] }, { "id": "task835-af45044b98544568847566a5eb879a31", "input": "(12/(-42))/((-160)/35 + 4)", "output": [ "1/2" ] }, { "id": "task835-f5d6e867ef08489787e66d5b760a70de", "input": "How many minutes are there in ten thirds of a day?", "output": [ "4800" ] }, { "id": "task835-39fcd1be3ea84d7bb4bdb88227e27640", "input": "Solve -11*g = 2*g + 52 for g.", "output": [ "-4" ] }, { "id": "task835-1e4c520878e04db0a49a4278fa3365ef", "input": "Let g = 11 - 7. Suppose 6 = -y - g. Let p(h) = h + 19. Let m be p(y). What is the greatest common divisor of m and 1?", "output": [ "1" ] }, { "id": "task835-d1dfe137eb02490482b5b7c0d474ecc3", "input": "Solve 29 = 5*c - 3*k, -9 = -4*c + 4*k + 19 for c.", "output": [ "4" ] }, { "id": "task835-973caf202be24654a2a33e2a7dce743f", "input": "What is the third root of 111 to the nearest integer?", "output": [ "5" ] }, { "id": "task835-841a318757aa4a4bac1e77d789c323be", "input": "Let y be ((-28)/5)/((-3)/90). Calculate the highest common factor of y and 21.", "output": [ "21" ] }, { "id": "task835-d7784172e1744856b4f2cdb0b73eab27", "input": "Three letters picked without replacement from ccwccwwcwwwc. Give prob of sequence www.", "output": [ "1/11" ] }, { "id": "task835-b124b3b1dc6e45cf84a06b2932bb88ed", "input": "What is one twentieth of a kilogram in grams?", "output": [ "50" ] }, { "id": "task835-719786d3b27b48fb991bc1c6651de561", "input": "How many years are there in 5437.948 millennia?", "output": [ "5437948" ] }, { "id": "task835-221526ba21c94280a4934a58d1e64bd6", "input": "Solve -245*y + 249*y = 0 for y.", "output": [ "0" ] }, { "id": "task835-ee8d457d9f074d3c8c3820de928db145", "input": "Calculate -0.2865*-2.", "output": [ "0.573" ] }, { "id": "task835-09fa8cf98f1947a7a57329e109c9ff94", "input": "What is the next term in -6779, -13563, -20349, -27137, -33927, -40719?", "output": [ "-47513" ] }, { "id": "task835-555ec1a3fb564165926657847ddb2118", "input": "What is the seventh root of 3535 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-8af832a1fd57484f8b1270fd4b563815", "input": "-6508 divided by -1627", "output": [ "4" ] }, { "id": "task835-cfbb5e6caaa84058b63051e59648cde9", "input": "How many litres are there in 499.152ml?", "output": [ "0.499152" ] }, { "id": "task835-bc8920637c3e46b187587092511abe91", "input": "Let m be (0/(-3))/(-3) - 37. Let f = -25 - m. What is the units digit of f?", "output": [ "2" ] }, { "id": "task835-064e38ad84704a0b920fcab4903d6461", "input": "Calculate prob of picking 2 k when two letters picked without replacement from {c: 2, f: 1, r: 1, k: 2, u: 1}.", "output": [ "1/21" ] }, { "id": "task835-5e4419eb3d0043c098d8abfedcc7e4d8", "input": "Two letters picked without replacement from liiillliliill. Give prob of picking 1 i and 1 l.", "output": [ "7/13" ] }, { "id": "task835-c02eb2afee684ee5aff20b59855bff2b", "input": "Suppose 2*g + 2*g + 5*b = 165, 0 = 5*g - 4*b - 237. Let a = 75 - g. What is the remainder when a is divided by 11?", "output": [ "8" ] }, { "id": "task835-b4c6581f22b848f2a956547809197b1c", "input": "Calculate 24/400*10*(-1)/3.", "output": [ "-1/5" ] }, { "id": "task835-ba6f040588e6431a87296538329459b9", "input": "How many decades are there in 356318.7 months?", "output": [ "2969.3225" ] }, { "id": "task835-26da688ddde94458a7e1f515071c330d", "input": "What is eleven halves of a year in months?", "output": [ "66" ] }, { "id": "task835-1d1f9369f4734957aeff44d5b94dbb4a", "input": "Suppose -5*p - 3*y - 41 = 3, -3*p - 5*y - 20 = 0. Let g(w) = w**3 + 9*w**2 - 10*w + 9. What is the least common multiple of g(p) and 5?", "output": [ "45" ] }, { "id": "task835-0c88145310a94f4792fcbbbb432ec73c", "input": "Four letters picked without replacement from {m: 12, w: 3}. Give prob of picking 1 m and 3 w.", "output": [ "4/455" ] }, { "id": "task835-17699089147c4c6486e1041dc7b6dfec", "input": "How many micrometers are there in 5/8 of a millimeter?", "output": [ "625" ] }, { "id": "task835-dd273a50460a46e48f601981404bb0fc", "input": "What is the ninth root of 3888 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-e5ad98ade869478589b915b3f096dbee", "input": "Convert 3311.92 litres to millilitres.", "output": [ "3311920" ] }, { "id": "task835-9accd02b3b7648fa821a18fd5884f7da", "input": "What is prob of picking 2 l when two letters picked without replacement from llkkl?", "output": [ "3/10" ] }, { "id": "task835-3589b3688a024e53a90e1d6037bb2e5b", "input": "What is the square root of 664 to the nearest integer?", "output": [ "26" ] }, { "id": "task835-c1e4c2334d874e0bbc1f5bf8c13b8986", "input": "Total of 5 and 0.10827.", "output": [ "5.10827" ] }, { "id": "task835-acfac5ec004d460196d886ff2b03959b", "input": "Let y = 6 - 7. Let o = -2 - y. What is the units digit of (o + -1)*(-6)/4?", "output": [ "3" ] }, { "id": "task835-ced833a042fc4eab905bb5ef6dc1d45a", "input": "Two letters picked without replacement from ebjbhjejjjjfjbbjjj. What is prob of sequence hb?", "output": [ "2/153" ] }, { "id": "task835-e313d83f473b4aea9bedeebca66e8e75", "input": "What is the next term in 17, 48, 79, 110?", "output": [ "141" ] }, { "id": "task835-989058e334424771ac65ca093020f2ec", "input": "What is prob of picking 2 g when two letters picked without replacement from ggggqqqgggq?", "output": [ "21/55" ] }, { "id": "task835-16ab47804dfa4c49a7ca3478971e5555", "input": "Four letters picked without replacement from {n: 2, g: 2, s: 1}. What is prob of sequence ngnn?", "output": [ "0" ] }, { "id": "task835-0c3c6387145843e5bdc7caabc97d1162", "input": "Suppose b + 3*k - 19 = 0, -4*b - 6*k = -4*k - 56. Calculate the remainder when 24 is divided by b.", "output": [ "11" ] }, { "id": "task835-134422e38117447e92c870d8f59ba277", "input": "What is the next term in -344, -686, -1028?", "output": [ "-1370" ] }, { "id": "task835-30d275658886410f8538f0a742a1ffd0", "input": "Three letters picked without replacement from {s: 2, r: 2, m: 1, d: 1, x: 1}. Give prob of sequence srm.", "output": [ "2/105" ] }, { "id": "task835-69029469ce4c451095ad8252984d1fb3", "input": "What is 0 + (-4 - -4) - -4 - 8?", "output": [ "-4" ] }, { "id": "task835-36de44206dd1476583990cc896f6a60a", "input": "Let l be ((-26)/(-6))/(1/(-36)). Find the common denominator of 3 + (-2 - l/(-40)) and 1/4.", "output": [ "20" ] }, { "id": "task835-69787d5da25c45b0a3ead08b7d2bd805", "input": "Let q = -46 - -61. What is the remainder when 55 is divided by q?", "output": [ "10" ] }, { "id": "task835-a044c8f9ed964263b56c0ee4d82323af", "input": "Calculate 26*-0.6.", "output": [ "-15.6" ] }, { "id": "task835-8f21362eb2ba482095ecfe4cf6484985", "input": "Let d = -5/863 + 30265/10356. What is the common denominator of 13/20 and d?", "output": [ "60" ] }, { "id": "task835-0824d442e78442e3910a502e0d6927f2", "input": "How many hours are there in 17/2 of a week?", "output": [ "1428" ] }, { "id": "task835-4b5d27e6c095450c8c666eddac03828e", "input": "Calculate prob of sequence vgg when three letters picked without replacement from {v: 9, g: 5}.", "output": [ "15/182" ] }, { "id": "task835-284700d381564684b0cbd24b6266605e", "input": "Suppose 2*k + 3*l + 2 - 1 = 0, 3*k - 2*l - 5 = 0. Let f be (4/k)/((-1)/(-2)). Suppose 3*r + 5 = f. What is the lowest common multiple of r and 3?", "output": [ "3" ] }, { "id": "task835-8b7583aecef64365aa51c1396b6842e9", "input": "Three letters picked without replacement from {t: 5, h: 3, p: 5, m: 2, g: 5}. Give prob of sequence mmp.", "output": [ "1/684" ] }, { "id": "task835-345e2983152147db9ebdc9b63abe75dd", "input": "What is prob of picking 2 s when two letters picked without replacement from {s: 2, l: 2}?", "output": [ "1/6" ] }, { "id": "task835-a9a3ec7e431946098309379e16075f1f", "input": "Suppose -3*h = -p + 5, -3*p + 2*h = h - 15. Let s(g) = -g**3 + 5*g**2 + g - 3. Let r be s(p). Suppose r*z - 12 = 8. What is the tens digit of z?", "output": [ "1" ] }, { "id": "task835-c013ae7061414b23806d4fc991fd79f4", "input": "What is 2 - (1 + -5) - 11?", "output": [ "-5" ] }, { "id": "task835-9888c7903ad34bb998c4a3073e2ae8db", "input": "Let g = 6 - 6. Let b = 3 + g. Suppose -w - b = -21. What is the tens digit of w?", "output": [ "1" ] }, { "id": "task835-e48f7bdba2b140ce8a6158902afb2cc1", "input": "Suppose 3*b + 0 = -2*p + 17, -4*b - 3*p + 22 = 0. What is the highest common factor of 56 and b?", "output": [ "7" ] }, { "id": "task835-11dbc6675f4442dabdaf6d97307232b5", "input": "Four letters picked without replacement from {x: 4, p: 6, q: 2}. What is prob of sequence xqxp?", "output": [ "2/165" ] }, { "id": "task835-bdabcd690f5445f3b0d8d3a2d567d513", "input": "Convert 169764.5 milligrams to nanograms.", "output": [ "169764500000" ] }, { "id": "task835-806317f0d176402c81b50af0e056f85e", "input": "Let c = -4 - -7. Let q(r) = r**2 + 4. What is the tens digit of q(c)?", "output": [ "1" ] }, { "id": "task835-e4ab02b1823b44a19e1fd8e10528f447", "input": "What is 3/5 of a millennium in decades?", "output": [ "60" ] }, { "id": "task835-0ad69511127c43ff8fccb964554bf0a1", "input": "Let k = -2 + 39. Calculate the remainder when k is divided by 20.", "output": [ "17" ] }, { "id": "task835-c22a6f44f9df49e8b0d157972fb48d28", "input": "What is prob of picking 1 l, 1 f, 1 p, and 1 i when four letters picked without replacement from {i: 3, y: 1, p: 3, f: 3, a: 7, l: 1}?", "output": [ "3/340" ] }, { "id": "task835-82887dbd6e274b82b71ecda77398644e", "input": "Calculate prob of picking 1 d, 2 n, and 1 w when four letters picked without replacement from xcwdxdllwnnxwdnn.", "output": [ "27/910" ] }, { "id": "task835-3d9c657270f74c8f94adea12f6283ddc", "input": "What is the tens digit of 7/(35/405) + -1?", "output": [ "8" ] }, { "id": "task835-2eb157730829415382a40d90bdc22f03", "input": "Calculate prob of sequence aaaa when four letters picked without replacement from baaaabba.", "output": [ "1/14" ] }, { "id": "task835-bfd078c76cb54c81b8ce69aa4c65dfff", "input": "What is 42/5 of a centimeter in millimeters?", "output": [ "84" ] }, { "id": "task835-3c23be1d766442709487367dec290d70", "input": "Let f(c) = -10*c. Let x be f(-2). Suppose 2*q - x = -3*q. Solve 3*d = 4*d - q for d.", "output": [ "4" ] }, { "id": "task835-fa5bf08988014e84aef3c21764ecc06a", "input": "Suppose 0 = 7*p - 6*p - 5*x - 38, 2*x = 4. Suppose 2*g - p = 5*f, -3*g = g + 5*f - 66. What is the remainder when g is divided by ((-14)/3)/(8/(-12))?", "output": [ "5" ] }, { "id": "task835-891a196192244ff580447260d43879db", "input": "Solve -304*l + 293*l = 99 for l.", "output": [ "-9" ] }, { "id": "task835-e93c5e5a37724eee956fd7a44ddab040", "input": "What is 3031455 plus 0.4?", "output": [ "3031455.4" ] }, { "id": "task835-8b9018fecc7044d1af9cf54cc84478be", "input": "Two letters picked without replacement from {l: 1, i: 3, o: 1}. Give prob of picking 1 i and 1 l.", "output": [ "3/10" ] }, { "id": "task835-cfa8e6f3c4ec4544863356d641ba5096", "input": "Solve 56 - 20 = -3*i - 4*w, 5*i + 4*w = -44 for i.", "output": [ "-4" ] }, { "id": "task835-52d094a8409e472f90f18e56907a64e3", "input": "Suppose -4*u = -5*x + 4*x + 14, 0 = -3*x - 3*u + 27. What is the highest common divisor of x and 1?", "output": [ "1" ] }, { "id": "task835-2a95dcc286ed4b889eb4287a85dc7b1f", "input": "What is prob of picking 1 f and 1 d when two letters picked without replacement from {t: 1, b: 2, f: 1, d: 2}?", "output": [ "2/15" ] }, { "id": "task835-d3d31e3ec6214bf694a3f4401a8fad7a", "input": "What is the next term in 102, 75, 48?", "output": [ "21" ] }, { "id": "task835-ba86c5dea9864a7081cd9d6969511b9e", "input": "Convert 935.7169 tonnes to grams.", "output": [ "935716900" ] }, { "id": "task835-4e232efe529b41af94f3032dfd717b56", "input": "(-29)/(-87)*(-18)/(-10)", "output": [ "3/5" ] }, { "id": "task835-1f66c6e9dd1f44208b63d484913ff891", "input": "Suppose 4*c = 5*f + 25, -3*f + 39 = 3*c - 0*f. Suppose 3*a - 2*q - 2 = 0, -2*a + q + 7 = a. Calculate the remainder when c is divided by a.", "output": [ "2" ] }, { "id": "task835-da6c58e9552c4af9a919e45ac077ec85", "input": "Suppose 16 = -0*o + 2*o. Suppose -o = -g + 1. What is the units digit of g?", "output": [ "9" ] }, { "id": "task835-6525ab388bf047fab6ca74d1cc5cfb3d", "input": "Divide -248 by -4.", "output": [ "62" ] }, { "id": "task835-ab2cb037b5ec4bb78d752eca91040f6b", "input": "Suppose 2*a = -0*a. Suppose a = -5*q + 2*l + 3*l, 4*q - 10 = -l. What is the smallest common multiple of q and 12?", "output": [ "12" ] }, { "id": "task835-2119e23d197f4c64bbf72a193e328343", "input": "How many millilitres are there in fourty-six fifths of a litre?", "output": [ "9200" ] }, { "id": "task835-4f112128410c4e8f864409e62b551971", "input": "What comes next: -22, 22, 104, 230, 406, 638?", "output": [ "932" ] }, { "id": "task835-83a01dc6082a4949859b2282a0a6cb3d", "input": "What comes next: -101, -79, -43, 7, 71?", "output": [ "149" ] }, { "id": "task835-e5105fd335dd4e29944e7371ae6f76ae", "input": "Four letters picked without replacement from {o: 1, u: 3, v: 2, e: 1}. What is prob of picking 1 o and 3 u?", "output": [ "1/35" ] }, { "id": "task835-bd66c335c738451f9654803c6c860451", "input": "In base 15, what is 20 - -e?", "output": [ "2e" ] }, { "id": "task835-da3e5fbabedb404eb54252052944ab94", "input": "Convert 7.49573mg to grams.", "output": [ "0.00749573" ] }, { "id": "task835-6499a82e72eb461080350aa06ceb8664", "input": "Let b be ((-4)/(-6))/(4/(-6)). Let l be ((b - -1) + 0)*-1. Solve -3*d = 4*x + 2*d + 45, 5*x - 3*d + 10 = l for x.", "output": [ "-5" ] }, { "id": "task835-3e01e62ca49242ccbc41e719897a9d00", "input": "What is the value of (15/5)/((-3)/2)?", "output": [ "-2" ] }, { "id": "task835-ecdaafca9c0449e8988aa4cc5d604502", "input": "Let h(k) be the third derivative of k**4/24 - 4*k**3/3 + k**2. Let z be h(13). Solve -2*l = -z*l for l.", "output": [ "0" ] }, { "id": "task835-de46c7fc7761492c9776f49b115ad92e", "input": "((-3)/9)/(7/(-3))", "output": [ "1/7" ] }, { "id": "task835-989f51c726ca4dc9a61bd7d2f2034c33", "input": "2 * 519", "output": [ "1038" ] }, { "id": "task835-3377c2df7dc64561af076bb7c65c2a38", "input": "Suppose -2*l + b = -4*b - 36, -104 = -4*l + 2*b. What is the tens digit of l?", "output": [ "2" ] }, { "id": "task835-263e396688684516846d0c796031741d", "input": "How many millilitres are there in 0.1666822l?", "output": [ "166.6822" ] }, { "id": "task835-d20fa0c6266d4f629cebba0325c7ae8c", "input": "Let g be 2/4*1*-2. Let r(h) = 16*h**2 - h - 1. Calculate the smallest common multiple of 6 and r(g).", "output": [ "48" ] }, { "id": "task835-e6d6fe8481ec46cbac84f72542a8c5bf", "input": "What is the next term in -121, -1032, -3513, -8350, -16329, -28236?", "output": [ "-44857" ] }, { "id": "task835-918ddafbc5114a29b4d9f9c13f3f64a5", "input": "Solve 2642*d - 6 = 2639*d for d.", "output": [ "2" ] }, { "id": "task835-a82d3dacb8004b23a1100fbb44242ba9", "input": "Evaluate (2/28)/(6/24).", "output": [ "2/7" ] }, { "id": "task835-2b1a2e6f54ac41dd8fa52fd79c831cce", "input": "Let f(j) = -j**3 + j**2 + j + 1. Let o be f(-1). Let a = -1 - o. What is the units digit of a*3/(0 + -3)?", "output": [ "3" ] }, { "id": "task835-585cf8f6803b48d98eade70938c5b204", "input": "What is prob of picking 3 p and 1 b when four letters picked without replacement from ppbbbpp?", "output": [ "12/35" ] }, { "id": "task835-7eed2e3a1b064528a83f725ea19bf8ef", "input": "Solve -3*m + 2*i = 1, -4*m - 44 + 39 = i for m.", "output": [ "-1" ] }, { "id": "task835-5eeaa552713a41cd979cb1e9ad22f2ee", "input": "Let u = -968/171 + -1/171. What is the common denominator of u and -32/39?", "output": [ "39" ] }, { "id": "task835-32477dffff72428a97d1cd0d92145501", "input": "What is prob of sequence aa when two letters picked without replacement from {h: 3, o: 3, u: 1, p: 1, a: 3, i: 3}?", "output": [ "3/91" ] }, { "id": "task835-a9680dfa1c8645aa88272b78bccf0b54", "input": "Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {l: 12, p: 1}.", "output": [ "2/13" ] }, { "id": "task835-636b16a05be04646b9b3c2e427850353", "input": "Calculate prob of sequence kks when three letters picked without replacement from {s: 5, b: 2, m: 2, k: 4}.", "output": [ "5/143" ] }, { "id": "task835-af94b214f0264fe087ce7054c534e4bf", "input": "How many months are there in 8692.842 decades?", "output": [ "1043141.04" ] }, { "id": "task835-9b1bf708ce6f4123a5af4cc4ab616f0e", "input": "Two letters picked without replacement from {i: 6, k: 2}. What is prob of picking 1 i and 1 k?", "output": [ "3/7" ] }, { "id": "task835-1ea8f788b0cd4cb38c5ce76c4ae88c3c", "input": "Four letters picked without replacement from {u: 9, a: 3}. Give prob of sequence aauu.", "output": [ "2/55" ] }, { "id": "task835-7a92a8c751964a5893bed5a781ab9aba", "input": "How many minutes are there in 79/3 of a day?", "output": [ "37920" ] }, { "id": "task835-38e72297f2b74d11bc8f1c45567c81de", "input": "What is the value of 87/145 + (-4)/(-10)?", "output": [ "1" ] }, { "id": "task835-242dfed343f6478f8ae72229b6d180e5", "input": "Four letters picked without replacement from {f: 4, m: 1, g: 5}. Give prob of picking 4 f.", "output": [ "1/210" ] }, { "id": "task835-f89cbf57de9940d1a3e3691d099b07d2", "input": "Let f = 184 - 40. Suppose -5*x - 4*c = -f, 0 = 2*c + 2*c + 16. Suppose b = -3*b + x. What is the units digit of b?", "output": [ "8" ] }, { "id": "task835-779a955d066e4bc0a5a46c111a3726fd", "input": "Two letters picked without replacement from swspvjjjvskvwpww. Give prob of picking 1 k and 1 p.", "output": [ "1/60" ] }, { "id": "task835-a2b5d4efc4a7418387fae976048ca399", "input": "How many millennia are there in 24.651681 months?", "output": [ "0.00205430675" ] }, { "id": "task835-500624b464f04386a132d09d83913c32", "input": "What is prob of picking 1 b and 2 o when three letters picked without replacement from gobgvbvggbbfogfobv?", "output": [ "5/272" ] }, { "id": "task835-dbae182d123846bc9f96983cdcc00642", "input": "What is 33613.06 minutes in seconds?", "output": [ "2016783.6" ] }, { "id": "task835-e91a2ad8c5ca46ec83237d248346bfac", "input": "Evaluate 16*(-5)/10 - (0 + -1).", "output": [ "-7" ] }, { "id": "task835-218932ed564d4b2cb7767bc80452482d", "input": "Let o = 2112797/11 - 191538. Let i = 532 - o. What is the common denominator of 2/(-8)*(-970)/25 and i?", "output": [ "110" ] }, { "id": "task835-ca29ed7d3d6c4d4a98b562d9a203bffb", "input": "What is prob of sequence uuuz when four letters picked without replacement from zubuububqqq?", "output": [ "1/330" ] }, { "id": "task835-e034059df0684e5f87476b36879947b9", "input": "Four letters picked without replacement from {g: 1, m: 2, l: 4, y: 2, h: 1}. Give prob of sequence hlgm.", "output": [ "1/630" ] }, { "id": "task835-ced0d8bb401e4fd8b2d0c16a0c817c34", "input": "Let s = -22 + 57. Let l = s + -22. Calculate the greatest common divisor of l and 65.", "output": [ "13" ] }, { "id": "task835-9183f64966cf4850971d85dd3d72e4be", "input": "Two letters picked without replacement from {f: 3, l: 2, s: 4, q: 1}. Give prob of sequence lq.", "output": [ "1/45" ] }, { "id": "task835-c1ec1b259a2441cf9a455b6a485907d9", "input": "What is next in -3286, -3288, -3290, -3292, -3294, -3296?", "output": [ "-3298" ] }, { "id": "task835-c386cce6ddba40419283e87ff53d52c4", "input": "Two letters picked without replacement from {a: 5, o: 1, x: 5}. What is prob of picking 1 x and 1 o?", "output": [ "1/11" ] }, { "id": "task835-f68bf5b8a34647fb8703cda153f7e892", "input": "In base 16, what is -1bd + d?", "output": [ "-1b0" ] }, { "id": "task835-a964f32ef00c44ca85c8666cb5e93e48", "input": "Two letters picked without replacement from uuzzuuuuuuuuuzuu. Give prob of picking 1 u and 1 z.", "output": [ "13/40" ] }, { "id": "task835-7dc0f83e6a1e4d968aed57b54e13ba8e", "input": "Suppose -2*t - 51 = -5*t + 3*l, 37 = 3*t + 4*l. Calculate the common denominator of 1*(308/32 + 3) and t.", "output": [ "8" ] }, { "id": "task835-2db125e961604672905fc3f2fbb8ddd0", "input": "What is the next term in 22, 63, 136, 247, 402, 607, 868, 1191?", "output": [ "1582" ] }, { "id": "task835-d0c0f1e8c1ca468da39f89105442a2c1", "input": "Suppose 3*x + 197 = 4*x. Calculate the remainder when x is divided by 33.", "output": [ "32" ] }, { "id": "task835-ec3ce6b8ded444ce8a8e58ab4a667ddb", "input": "Two letters picked without replacement from qkqkxqkqq. What is prob of sequence kx?", "output": [ "1/24" ] }, { "id": "task835-8fca20e3bc7d4d4abd3bf5980c020e8b", "input": "Four letters picked without replacement from ntuntntuuttu. Give prob of picking 4 t.", "output": [ "1/99" ] }, { "id": "task835-4341a0cd57ff4f40936dc9fdf4106347", "input": "Let f = -23 - -5. Calculate the least common multiple of (-12)/f - (-50)/6 and 2.", "output": [ "18" ] }, { "id": "task835-043faeeae1a2456f988bfb9e373b1fd4", "input": "Three letters picked without replacement from {q: 8, f: 4, k: 5}. Give prob of sequence kkk.", "output": [ "1/68" ] }, { "id": "task835-2a80984577de446eb21a2608d595067e", "input": "Suppose p - 4*p = 0. Suppose -4*v + 0*v + 17 = -l, 4*l + 4 = p. Suppose -3*m + 55 = -17. Solve -5*r + v = m for r.", "output": [ "-4" ] }, { "id": "task835-eb326ba3b9d049eb9b941c38b9fd45ef", "input": "How many milliseconds are there in 38.5396 microseconds?", "output": [ "0.0385396" ] }, { "id": "task835-5ea171936089435c9f60e0a8c3b73ba5", "input": "Suppose 12 + 0 = 3*a. Solve -3*w + 9 = 2*j, 2*w = a*j - 17 + 7 for j.", "output": [ "3" ] }, { "id": "task835-e016e0ba802c4f0fb86565c060f9e05b", "input": "What is three fifths of a century in years?", "output": [ "60" ] }, { "id": "task835-c212c47909ea467b87b987cd8f4cd2ea", "input": "Convert 8.201587 micrograms to grams.", "output": [ "0.000008201587" ] }, { "id": "task835-6038c4c2bbfd4b31a8a590cea8919fda", "input": "Solve 2*q - 1 = 6*q + 3*f, 7 = -2*q + 5*f for q.", "output": [ "-1" ] }, { "id": "task835-ed2aafdd594d44f28c0432ab55ccc7a7", "input": "How many grams are there in 0.1406962 tonnes?", "output": [ "140696.2" ] }, { "id": "task835-c7db465d6aaa4ca2a945e72e19297682", "input": "What is 1/20 of a litre in millilitres?", "output": [ "50" ] }, { "id": "task835-718ce27f6d534d44b61eff343f7a8cd5", "input": "Solve -i + z + 1 = 0, 17 = 2*i - 7*z + 2*z for i.", "output": [ "-4" ] }, { "id": "task835-4c900571c5a746a689464834e31d4d9b", "input": "Calculate prob of sequence bnbq when four letters picked without replacement from {c: 3, u: 1, q: 1, d: 2, b: 5, n: 1}.", "output": [ "1/858" ] }, { "id": "task835-585180bdcd8e4ee4bc3bde8544104976", "input": "In base 13, what is -2 + 53?", "output": [ "51" ] }, { "id": "task835-135f81323492434495178cbdcfc67e61", "input": "Calculate -15690 divided by -5.", "output": [ "3138" ] }, { "id": "task835-8ebf99c1e2984700a640b9fbfd1f131f", "input": "Two letters picked without replacement from emltz. What is prob of sequence el?", "output": [ "1/20" ] }, { "id": "task835-52186ae66245423796b13eca919769e1", "input": "What is prob of sequence sgl when three letters picked without replacement from {e: 4, d: 1, s: 2, b: 1, l: 2, g: 4}?", "output": [ "2/273" ] }, { "id": "task835-8225da0e600d45419c8745cf6083def0", "input": "Convert 26093.9kg to milligrams.", "output": [ "26093900000" ] }, { "id": "task835-9dad17242d60433b8bb9e2caf1cf6e71", "input": "How many decades are there in 17/4 of a millennium?", "output": [ "425" ] }, { "id": "task835-4ab9b62cbfd94ba0975951f036e295c5", "input": "Calculate prob of picking 1 c and 3 d when four letters picked without replacement from {i: 2, h: 4, k: 3, c: 6, d: 3}.", "output": [ "1/510" ] }, { "id": "task835-515f1b91488f499faa8b54be76eac547", "input": "What is -0.3 minus -151136.1?", "output": [ "151135.8" ] }, { "id": "task835-37a847a8b82a4c3089cad2e7003e48ac", "input": "Convert 14.41732cm to millimeters.", "output": [ "144.1732" ] }, { "id": "task835-f83a30254c374ba380b69bf4fd3912c0", "input": "Calculate prob of sequence lttj when four letters picked without replacement from {j: 1, h: 5, e: 5, k: 1, t: 2, l: 1}.", "output": [ "1/16380" ] }, { "id": "task835-af1efdd7ba58485fb9631b91063ae9cc", "input": "Four letters picked without replacement from mmmrofnfznf. What is prob of sequence zmno?", "output": [ "1/1320" ] }, { "id": "task835-e96aa1b0924843409c1fa072f6c1e328", "input": "Let o = -28 + 40. Suppose -4*u + 48 = -0*u. What is the highest common divisor of u and o?", "output": [ "12" ] }, { "id": "task835-f3dd086d7c8342108225191aaf146a45", "input": "Solve -i + 5*i + 28 = -3*p, -32 = 4*p + 4*i for p.", "output": [ "-4" ] }, { "id": "task835-d41eb63c8e2243a8a47e31b49cf96672", "input": "Four letters picked without replacement from {h: 3, q: 2, g: 2, d: 2, p: 4}. What is prob of sequence ggdd?", "output": [ "1/4290" ] }, { "id": "task835-d80f179a4b3c49e5aa932ebd499e101d", "input": "Let c = 2291/723 - 1/482. Let p = -45843/1852 + 3/926. What is the common denominator of p and c?", "output": [ "12" ] }, { "id": "task835-66fa854c34ba41b187bdc0a3f5e251ba", "input": "Suppose 0 = 5*u - 2*w, 2*w + 0*w = u + 8. Solve -f - 1 = -4*h + 5*h, -26 = u*h - 4*f for h.", "output": [ "-5" ] }, { "id": "task835-66c686cad7824977ba9803d6b1612abc", "input": "What is -1 divided by 82?", "output": [ "-1/82" ] }, { "id": "task835-99410b810608487c9902880c4006ffb3", "input": "Three letters picked without replacement from {x: 7, r: 3}. Give prob of picking 2 r and 1 x.", "output": [ "7/40" ] }, { "id": "task835-a6b1ead48da0416a9adf6750aaabe5b6", "input": "Solve 3*v + 7*c = 11*c + 3, 5*v + c = 28 for v.", "output": [ "5" ] }, { "id": "task835-56c4a30b68a54c8dad07b9d2767ff733", "input": "Total of 0.3 and 170.7.", "output": [ "171" ] }, { "id": "task835-3b6484c0ec38468fb0685a6ef0f9b3e0", "input": "Calculate prob of picking 1 k and 1 c when two letters picked without replacement from {h: 4, k: 3, c: 3, i: 3, o: 4}.", "output": [ "9/136" ] }, { "id": "task835-4bc51457c1594fb6ba00f77979412473", "input": "What is the cube root of 30710 to the nearest integer?", "output": [ "31" ] }, { "id": "task835-eed3ef6bbd6e4f9993f3546df8a04087", "input": "Let x = 18 - 23. Let w = x + 7. Solve w*k = k + 3 for k.", "output": [ "3" ] }, { "id": "task835-712115fa700f41238619f2a43b4a8c09", "input": "Let i(f) = -4*f**2 - 2*f - 1. Let n = 5 + -6. Let x be i(n). Let s(v) = v**2 + 4*v + 4. Let j be s(x). Solve j = -4*u - 3 for u.", "output": [ "-1" ] }, { "id": "task835-c63990242c21470db4bfdc43403b9d19", "input": "Multiply 0.07 and -0.0514.", "output": [ "-0.003598" ] }, { "id": "task835-ca79c3e9fc334abb8825b1746a191698", "input": "Two letters picked without replacement from {f: 2, z: 4, y: 8, b: 1}. What is prob of sequence yf?", "output": [ "8/105" ] }, { "id": "task835-ff48a06c73034242bcbeda61f7abb241", "input": "Two letters picked without replacement from apnmnor. What is prob of sequence ao?", "output": [ "1/42" ] }, { "id": "task835-59b1e934253f49d4a21bdcacbe49e6df", "input": "Suppose 8*t - 4*t - 138 = -n, -3*t + 5*n + 115 = 0. Calculate the remainder when 103 is divided by t.", "output": [ "33" ] }, { "id": "task835-985e6d82780c4468bf475877e98e1d1b", "input": "How many millimeters are there in fourty-nine quarters of a meter?", "output": [ "12250" ] }, { "id": "task835-ac5e9f825f5345b3a9b888130ff78dfc", "input": "Suppose 0 = -2*v - r + 3, 2 - 11 = -5*v - r. Solve s - v = 3*g, s = -2 + 1 for g.", "output": [ "-1" ] }, { "id": "task835-73d353a298a54fd3b50cedb4482d51f4", "input": "Let a be (-155)/20 + (-2)/8. Let y = -1 - a. What is the units digit of y?", "output": [ "7" ] }, { "id": "task835-b6e5f06f7bd048e9a51e9ff3cad7a994", "input": "Let x = 1 + 14. What is the remainder when 42 is divided by x?", "output": [ "12" ] }, { "id": "task835-8c184a69a6c94af4b793cf33d55bb086", "input": "What is next in 8224, 8226, 8228, 8230?", "output": [ "8232" ] }, { "id": "task835-34fef1ca7fff4be7acc165d4a1bd3a52", "input": "Let y = 13 + -13. Suppose 5*n + 5*h = 215, -5*n + y*h = -5*h - 235. Calculate the greatest common divisor of n and 9.", "output": [ "9" ] }, { "id": "task835-fd8e3e5bcce543c69d5fb80078bafa63", "input": "What is the distance between 0.055 and 21.35?", "output": [ "21.295" ] }, { "id": "task835-968ef152fc424297aa3bedf584d73b39", "input": "In base 12, what is -5 + -52?", "output": [ "-57" ] }, { "id": "task835-ce9f5436a40b4b58a78ed9e907dab3e9", "input": "What is prob of sequence ggl when three letters picked without replacement from glllllllgllllllllg?", "output": [ "5/272" ] }, { "id": "task835-04ef299420a342cbad75f3a420878515", "input": "Solve 5*w - v = 6 - 14, 5*w - 4*v + 32 = 0 for w.", "output": [ "0" ] }, { "id": "task835-c5421e6f98394028acf7ac91d52b3bcb", "input": "Let g(o) = o**3 + 8*o**2 - 13*o + 3. What is the hundreds digit of g(-7)?", "output": [ "1" ] }, { "id": "task835-b49c65d4086046a5965d7f1f9204aea5", "input": "Suppose -4*r + 22 = -18. Solve 0*m + r = 2*m for m.", "output": [ "5" ] }, { "id": "task835-60be2d1acffe48d687e628a8ac6883d9", "input": "Work out -1.7 * 8.", "output": [ "-13.6" ] }, { "id": "task835-435bc7cd336544ffb28680b64c3bac5d", "input": "Divide -1 by 1037.", "output": [ "-1/1037" ] }, { "id": "task835-0cb512b7148a4061b66fb027b01d46a2", "input": "Let p(q) = -3*q - 2. Let b be p(-2). Let y(f) = -81*f - 2 + b - 2. Let z be y(-1). What is the highest common divisor of 9 and z?", "output": [ "9" ] }, { "id": "task835-c0ea354b243a4fbaaa7792c58a8a006f", "input": "0.3539 - 5", "output": [ "-4.6461" ] }, { "id": "task835-f6b1e03235424c8d876dc80f3a45f0ef", "input": "What is (0 - -2)*((-133)/14 - -12)?", "output": [ "5" ] }, { "id": "task835-700a697319cc4a6cbc7a74d63342ac5f", "input": "((20/(-2))/(-70))/(6/7)", "output": [ "1/6" ] }, { "id": "task835-f0aeb3f92fc54e50904ce2d5b95b9bd2", "input": "How many months are there in 7/3 of a year?", "output": [ "28" ] }, { "id": "task835-7a65ee62e6fa4ac3ab69db41381776aa", "input": "Calculate prob of sequence ik when two letters picked without replacement from akia.", "output": [ "1/12" ] }, { "id": "task835-3407ca1cfacf4280acbfa24bbeace30a", "input": "What is 68995.78 grams in tonnes?", "output": [ "0.06899578" ] }, { "id": "task835-68977b114466421b8f8911bc9c5bbead", "input": "What is 209 - -0.8?", "output": [ "209.8" ] }, { "id": "task835-584afea3e5eb4a89bb606f0f74207935", "input": "What is the next term in 11, 35, 59, 83?", "output": [ "107" ] }, { "id": "task835-b23e498689cf4ebea8f6f50092f83d4a", "input": "What is 3/10 of a milligram in micrograms?", "output": [ "300" ] }, { "id": "task835-6db8fa37f74f459f87b1406bf5eeb06a", "input": "Suppose 3*q + 668 = q. Let x be ((-266)/231)/(1/(-291)). Let o = q + x. Calculate the common denominator of 43/5 and o.", "output": [ "55" ] }, { "id": "task835-af401f7af67542efad97c0dae7aa5980", "input": "What is 13/4 of a microgram in nanograms?", "output": [ "3250" ] }, { "id": "task835-85dc38ea99364809b930410ca455470a", "input": "Suppose 8*j - 419 = 397. Calculate the remainder when j is divided by 26.", "output": [ "24" ] }, { "id": "task835-9600c8cce4024dba9c56a3edc8a7ce0b", "input": "Evaluate (-3)/((-33)/11*(-3)/(-6)).", "output": [ "2" ] }, { "id": "task835-fca359dc635046fcaaaf7f156423cff4", "input": "Three letters picked without replacement from {l: 2, o: 9}. What is prob of sequence ooo?", "output": [ "28/55" ] }, { "id": "task835-d785e4f43219411d8adad3a9c7b9932a", "input": "Suppose 0*x - x - 9 = 0. Let b = -2 - x. What is the units digit of b?", "output": [ "7" ] }, { "id": "task835-fd6e4dccafc34eb996458500aadebd51", "input": "Convert 68.53801ms to seconds.", "output": [ "0.06853801" ] }, { "id": "task835-cc7c6ebd6d744b06a5c9778d79730c25", "input": "Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {b: 7, v: 4}.", "output": [ "28/55" ] }, { "id": "task835-d5a746b8a9454eb0a8431b4e07e5aa01", "input": "Let z(f) = -7*f**2 - 7*f + 9. Let c(k) = -6*k**2 - 7*k + 9. Let p(w) = 6*c(w) - 5*z(w). Let j be p(-8). Calculate the greatest common divisor of 8 and j.", "output": [ "1" ] }, { "id": "task835-fe677d5aa7cd4800832b16b11c3d7b2d", "input": "What is the cube root of 14948 to the nearest integer?", "output": [ "25" ] }, { "id": "task835-8533a33f371d445fb218e68bd541d5cb", "input": "What comes next: 68, 135, 202, 269, 336, 403?", "output": [ "470" ] }, { "id": "task835-665f69acf6f8425b8d227d6eca297281", "input": "Four letters picked without replacement from bbbzbbbbbbbzjb. What is prob of sequence bbzb?", "output": [ "15/182" ] }, { "id": "task835-e9e53434d1694553a20c76478bd47635", "input": "Four letters picked without replacement from zczcuzuzuzccuzzcc. Give prob of picking 4 c.", "output": [ "3/476" ] }, { "id": "task835-be09a3984c06409296f5e22cfae25c64", "input": "Suppose 2*n - 49 = -c, -n + c + 27 = 2*c. Let x be (-41 + 40)/((-1)/55). What is the greatest common divisor of x and n?", "output": [ "11" ] }, { "id": "task835-d0a669a71d8b4a3f896d7c0da42e5c0b", "input": "What is 264.279456 microseconds in weeks?", "output": [ "0.00000000043697" ] }, { "id": "task835-69207504452244d1b7623e226f8ea365", "input": "Three letters picked without replacement from uuuumumumum. Give prob of picking 3 m.", "output": [ "4/165" ] }, { "id": "task835-7e1b38e35b4d41549fd8504a653fce52", "input": "0.772226 + -0.5", "output": [ "0.272226" ] }, { "id": "task835-cd7cca925c6d4f03a51401d45e3c7bb0", "input": "Let v(j) = j**3 + 7*j**2 + 3*j - 2. What is the remainder when v(-5) is divided by 18?", "output": [ "15" ] }, { "id": "task835-fe68efee7d834ff6a4e964f401f22947", "input": "How many nanometers are there in 61/4 of a micrometer?", "output": [ "15250" ] }, { "id": "task835-eb1ce871152f43618c79eec833b5dae7", "input": "How many minutes are there in fifty-three quarters of a day?", "output": [ "19080" ] }, { "id": "task835-a9a84a6eb9104082954b3f4f7f507bd7", "input": "Calculate prob of sequence xad when three letters picked without replacement from {x: 3, a: 3, d: 4, g: 1}.", "output": [ "2/55" ] }, { "id": "task835-fd50cfc3cc2c4f96b502fdc0bff3b31b", "input": "Let l = 1 + 7. Solve 4 + l = 3*s for s.", "output": [ "4" ] }, { "id": "task835-1ed7a6f5119c478185e62f049c8c2f1f", "input": "Four letters picked without replacement from {c: 2, f: 3, z: 4, a: 9}. What is prob of picking 3 f and 1 z?", "output": [ "1/765" ] }, { "id": "task835-ed2908a3a07046f8920a05cd5b4e6079", "input": "Suppose 6*l - 22 = 56. Calculate the remainder when 100 is divided by l.", "output": [ "9" ] }, { "id": "task835-e6c5d3500aee4f63951fbdff7c31faf0", "input": "Two letters picked without replacement from {f: 2, z: 5}. What is prob of sequence zf?", "output": [ "5/21" ] }, { "id": "task835-c90b8db29bc1437f81b18b75b030b8f5", "input": "How many milligrams are there in 5/4 of a gram?", "output": [ "1250" ] }, { "id": "task835-22159a0b3507425c882435ff16957ffd", "input": "Let a be 2/(3 + (-26)/10). Let x be ((-6)/a)/(6/(-320)). What is the units digit of x/6 - 3/(-9)?", "output": [ "1" ] }, { "id": "task835-36d19c1ef9f643618cb205acea501855", "input": "Let c(a) = -5 + a + 0 + 1. Suppose 0 = -k - 5*p + 20, -2*k + 3 = -3*p + 2. Let i be c(k). What is the greatest common divisor of 11 and i?", "output": [ "1" ] }, { "id": "task835-853a94732da242ff850f7a6e709d8c60", "input": "What is next in 62, 123, 174, 221, 270, 327?", "output": [ "398" ] }, { "id": "task835-a681d8580a904d328086a8640927121d", "input": "-0.3 - 7.76", "output": [ "-8.06" ] }, { "id": "task835-e37d5756c850479a84d8510a63babe50", "input": "What is 11/(-33)*0/(-1)?", "output": [ "0" ] }, { "id": "task835-0c66fe5dc985419c8e04439de46b1d4d", "input": "What is prob of picking 1 b, 1 v, and 1 u when three letters picked without replacement from {r: 5, c: 5, v: 2, m: 2, b: 1, u: 1}?", "output": [ "1/280" ] }, { "id": "task835-7960c0351bc142ea91cdb392ef85ee33", "input": "Three letters picked without replacement from {n: 2, v: 2}. Give prob of sequence vnn.", "output": [ "1/6" ] }, { "id": "task835-96df2fc4f502438fa2e605873b268249", "input": "What is 0.5466193 litres in millilitres?", "output": [ "546.6193" ] }, { "id": "task835-c7ef6d4e3c20433ab99dd4dc9d3d4eb8", "input": "Three letters picked without replacement from rrrrrcrcr. Give prob of sequence crc.", "output": [ "1/36" ] }, { "id": "task835-87cfffb752d94282ba44d97ebdb1c349", "input": "Suppose 633 = 4*h - 11. What is the greatest common divisor of 23 and h?", "output": [ "23" ] }, { "id": "task835-35cf8fe7ce3e4b448e8f48a7d7b26ce9", "input": "Let t be (-18)/(-8) + (-4)/16. Suppose t*c - 31 = 19. What is the units digit of c?", "output": [ "5" ] }, { "id": "task835-2ac1cb1329384ef1a4fa41cfe818e123", "input": "Solve 3*l = -4*t + 23, 2*l - 27 = -3*l - t for l.", "output": [ "5" ] }, { "id": "task835-69b2e9cb180a4819981f79ae4c35e131", "input": "Three letters picked without replacement from bzvvbzzzvzbzzvzv. Give prob of picking 1 b, 1 z, and 1 v.", "output": [ "3/14" ] }, { "id": "task835-85158a37040545a3b9fc5f26f1dc45d6", "input": "Calculate prob of picking 1 f, 1 l, and 1 n when three letters picked without replacement from {g: 1, i: 1, e: 5, l: 3, n: 2, f: 1}.", "output": [ "3/143" ] }, { "id": "task835-801fafd7fb8142bd9f4e3fec291d2bd9", "input": "5/(-10)*-5*(-4)/130", "output": [ "-1/13" ] }, { "id": "task835-1e243ddf758f409ba5e0a8657b5943b9", "input": "What comes next: -13616, -13610, -13602, -13592, -13580, -13566, -13550?", "output": [ "-13532" ] }, { "id": "task835-70809ffa434a4e31bf59a54b140c401e", "input": "What is prob of sequence hhh when three letters picked without replacement from {y: 2, h: 11}?", "output": [ "15/26" ] }, { "id": "task835-c3802104f62a4193a040722475fafa81", "input": "Suppose -2*x - 5*b + 99 = 0, x + b - 4*b = 44. What is the highest common factor of 188 and x?", "output": [ "47" ] }, { "id": "task835-a3aac54622394a4e9f9eb87c543fdd34", "input": "What is 2054 to the power of 1/4, to the nearest integer?", "output": [ "7" ] }, { "id": "task835-e1a6791efa4b4cccba65e28b65a32047", "input": "Suppose 2*g = 7*g - 16110. Let p = g - 70911/22. Calculate the common denominator of p and 55/6.", "output": [ "66" ] }, { "id": "task835-16fe40e1b2ce45968785c532e10db9f9", "input": "In base 4, what is 1031 + 203?", "output": [ "1300" ] }, { "id": "task835-e87ba9cf641d4c39ade2776936fad6e3", "input": "Convert 75460.01 kilometers to meters.", "output": [ "75460010" ] }, { "id": "task835-aa3c8063267d493786e11553ee2fb9de", "input": "Two letters picked without replacement from fnbqqnqnnqqqbbb. Give prob of picking 1 n and 1 b.", "output": [ "16/105" ] }, { "id": "task835-78eacc25e98643d0997c72fa7fc054e0", "input": "Calculate -2 + 5 - (-2 - (-2 - -2)).", "output": [ "5" ] }, { "id": "task835-ba82451115e0452d80d090b209e320c5", "input": "What is one ninth of a day in seconds?", "output": [ "9600" ] }, { "id": "task835-3f7affcc44b04456b2d0aee38ec59ef0", "input": "Suppose 0*n - 2*n = 10. Let b = -2 - n. Suppose -b*c = -15, -5*s + 0*s - 3*c = -15. Solve s*g = g for g.", "output": [ "0" ] }, { "id": "task835-2185a648d95c430eb00162eabfb0c62e", "input": "Total of 0.4 and 297491.", "output": [ "297491.4" ] }, { "id": "task835-b19e4d32233148d69f6366263bd474ac", "input": "Let y(m) = -m - 3. Let v be y(-6). Suppose v*c = 10 + 8. What is the units digit of c?", "output": [ "6" ] }, { "id": "task835-7a9f1fc631c84baaab691b6ae21f69f7", "input": "Suppose i + 9 = -2*i. Let d = 7 + i. Let a be (3/(-1))/(3/(-10)). Calculate the highest common divisor of d and a.", "output": [ "2" ] }, { "id": "task835-48b60c645f8e4294874598d86e1b560c", "input": "What is prob of picking 1 q and 1 z when two letters picked without replacement from qqzqqqqzq?", "output": [ "7/18" ] }, { "id": "task835-2d5d387c6c074d9093585718c1667cfc", "input": "What is prob of sequence uy when two letters picked without replacement from uukgguvuyukyvkyuyc?", "output": [ "4/51" ] }, { "id": "task835-dbc6a0b0a07447749c68d46c742b50a3", "input": "Let j(d) = d**3 - 14*d**2 + 15*d - 21. Let k be j(13). Solve k = -4*s - 11 for s.", "output": [ "-4" ] }, { "id": "task835-9caaf5eb58ea4deba66c68609bddbafa", "input": "What is -27 - 4216.2?", "output": [ "-4243.2" ] }, { "id": "task835-0ced2d15d36740738e9ccfe4a7491845", "input": "174/203*14/(-3)", "output": [ "-4" ] }, { "id": "task835-dceeedb67bc84eefa50caa70a4c547af", "input": "What is 5 divided by -45?", "output": [ "-1/9" ] }, { "id": "task835-4165d8e5c85843f7b6a8f35c528643e0", "input": "Suppose 2*n - 5*n + 63 = 0. Suppose -w = 2*w + n. Let p = w - -13. What is the units digit of p?", "output": [ "6" ] }, { "id": "task835-529aeb7a2bc9444dad0ed3d177b98315", "input": "Solve -4*z + 4*f - 8 = f, 0 = z - 4*f + 2 for z.", "output": [ "-2" ] }, { "id": "task835-bf8546e42ae64f0bb1488fa00d3917be", "input": "Convert 0.959322 hours to nanoseconds.", "output": [ "3453559200000" ] }, { "id": "task835-a3f05c185876426fa06542461fb0269f", "input": "Let n = -34 + 77. Calculate the remainder when n is divided by 9.", "output": [ "7" ] }, { "id": "task835-90c9ffe3c47e49f9b0970bd3983d4452", "input": "What is the common denominator of ((-9)/(-60))/(12/488) and -119/20?", "output": [ "20" ] }, { "id": "task835-8116fe5d940f4131b75ff6eca2f34ffa", "input": "(6/30)/(1/3)", "output": [ "3/5" ] }, { "id": "task835-5216881b12ee41508bc1415eb36922e0", "input": "Solve 45*o - 14 = 47*o - 3*n, -n + 2 = 2*o for o.", "output": [ "-1" ] }, { "id": "task835-a03f735464714da29ebe41af4d3341e7", "input": "Let k(r) = -26*r - 27. What is the units digit of k(-8)?", "output": [ "1" ] }, { "id": "task835-cbc54f791112494da26e9b351d0a4798", "input": "Three letters picked without replacement from {u: 1, y: 1, z: 1, l: 1, i: 1, e: 6}. Give prob of picking 1 l, 1 u, and 1 i.", "output": [ "1/165" ] }, { "id": "task835-8737225e01f440038ea52443fcfe25f8", "input": "What is the next term in 2, 24, 64, 128, 222, 352, 524, 744?", "output": [ "1018" ] }, { "id": "task835-1efb03386f2d43788d8b99e0ca948b0a", "input": "Solve -3*d = -0*d + 3 for d.", "output": [ "-1" ] }, { "id": "task835-29c835ce46d54bf99d768c3f7b298941", "input": "What is (-1 - 0) + -5 + -6 + 8?", "output": [ "-4" ] }, { "id": "task835-8839d887db464f0c83a1f4c28497959a", "input": "What is fourty-five eighths of a litre in millilitres?", "output": [ "5625" ] }, { "id": "task835-00fd2d0b11cc436fa14912e8b6c66aa5", "input": "What is prob of sequence zyz when three letters picked without replacement from {z: 5, y: 7}?", "output": [ "7/66" ] }, { "id": "task835-08a41982754e4d3d850722288c77f9e6", "input": "Let y(a) = -a + 5. Let m be y(3). Solve f + 16 = -0*f - 4*c, -3*c - 12 = -m*f for f.", "output": [ "0" ] }, { "id": "task835-3b875d522689434a9098488c56b34ee6", "input": "Let m(h) = h**2 + h - 4. Let c be m(-3). Let r(b) = -b**2 + 0 - b**c - b + 7*b**2 + 6. Let y be r(5). What is the highest common divisor of 14 and y?", "output": [ "14" ] }, { "id": "task835-993e69ecb6da45808f94bcf698b02e1d", "input": "Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {x: 3, q: 3, n: 1, m: 3}.", "output": [ "1/15" ] }, { "id": "task835-b919977106544b71a8357bc3c2653132", "input": "Solve -4*c = -2*r + 12, -r - 3*c - 10 = 9 for r.", "output": [ "-4" ] }, { "id": "task835-9a9fab56ae134278ae02ca9d675ddf4d", "input": "What is the next term in -27, -51, -75?", "output": [ "-99" ] }, { "id": "task835-85b1d3cc7d17407790b2b5f768252b5a", "input": "Let t(j) = -2*j - 6. Let p be t(-13). Suppose p = 3*b + 5*k, -3*k + 8*k + 55 = 2*b. Calculate the highest common divisor of 120 and b.", "output": [ "15" ] }, { "id": "task835-39ecdb5b3b614da3960fd6bab90819ac", "input": "What is thirteen quarters of a decade in months?", "output": [ "390" ] }, { "id": "task835-1a0b59739b974e83a3b0cb0365cd916b", "input": "What is prob of picking 1 g and 1 a when two letters picked without replacement from wga?", "output": [ "1/3" ] }, { "id": "task835-59a224e695144ce083154229cb424fe7", "input": "How many kilograms are there in thirty-two fifths of a tonne?", "output": [ "6400" ] }, { "id": "task835-e629bf9720c04c21a78595df074b2bf7", "input": "Solve -10 = -9*g - 46 for g.", "output": [ "-4" ] }, { "id": "task835-1511a15846014ed18e9c2abc462d53b6", "input": "How many grams are there in seventeen halves of a kilogram?", "output": [ "8500" ] }, { "id": "task835-eac7d727a91c46b9a20514822d661af9", "input": "Solve 4*q - 5*s + 0*s + 19 = 0, -2 = -4*q - 2*s for q.", "output": [ "-1" ] }, { "id": "task835-59e0659a47ab4c9f9f774849cdd7937d", "input": "What is prob of picking 3 g when three letters picked without replacement from {g: 12, j: 1}?", "output": [ "10/13" ] }, { "id": "task835-9a176d2b0bba4da090f73bcb21273a78", "input": "In base 6, what is 24 + 11021?", "output": [ "11045" ] }, { "id": "task835-4f21183157d74b96a84035d2b81f3a1c", "input": "Convert 472578.9 days to microseconds.", "output": [ "40830816960000000" ] }, { "id": "task835-66cfa839cb5e4bc68af01ccfa2f5abdc", "input": "Four letters picked without replacement from zqiiyiiizyzqyyissnsy. What is prob of sequence nszs?", "output": [ "1/6460" ] }, { "id": "task835-6282806ccb8d48d4a552b05ff6ab5384", "input": "((-57)/(-456))/((-3)/(-8))", "output": [ "1/3" ] }, { "id": "task835-416dfb4089724b28a682c4e854d003a8", "input": "How many milligrams are there in 94894.06 nanograms?", "output": [ "0.09489406" ] }, { "id": "task835-2f735071820c48b782a092172ddf0a9d", "input": "Solve 3*x = t + 11, 2*x = 3*x + 4*t - 21 for x.", "output": [ "5" ] }, { "id": "task835-ae90ecfcec754513b07f2e29d17de437", "input": "Calculate prob of sequence nesl when four letters picked without replacement from {a: 1, v: 2, e: 2, n: 1, l: 1, s: 1}.", "output": [ "1/840" ] }, { "id": "task835-f2a9221a0a984b8190e34665273386bb", "input": "Let l be 10/35 + 117/7. Suppose -1 = 4*w - l. Suppose -3*i = -c - 12, -3*i - w + 16 = -2*c. Solve 3*o + 3*y = c, 2*y = -4*o + 6*y - 40 for o.", "output": [ "-5" ] }, { "id": "task835-57f88c6a15b548058dd4f5fa2fae0014", "input": "Four letters picked without replacement from ccdccccdc. What is prob of sequence cdcc?", "output": [ "5/36" ] }, { "id": "task835-35a2c58f20fe41eeb3a16b23958ab0bd", "input": "Solve 2*h + 1 = d, -2*d - 4*h + 15 = 5 for d.", "output": [ "3" ] }, { "id": "task835-0f55cd27172c4208bb32b2fd0a96ad50", "input": "Three letters picked without replacement from {x: 14, y: 5, n: 1}. What is prob of sequence xxx?", "output": [ "91/285" ] }, { "id": "task835-9f1d2562c2c141a7a2453423dd20faa3", "input": "Four letters picked without replacement from {c: 2, q: 6, v: 7}. Give prob of picking 2 c, 1 q, and 1 v.", "output": [ "2/65" ] }, { "id": "task835-ebb4099bb0f74639a64967d2737ce1de", "input": "How many nanometers are there in 610.1077 millimeters?", "output": [ "610107700" ] }, { "id": "task835-fd33a15e111348fa97dd130749192ccc", "input": "-3.5*0.05", "output": [ "-0.175" ] }, { "id": "task835-e587542e0604424988781c3324df8c7d", "input": "Let d(j) = -j**3 + 4*j**2 + 3*j - 6. Let n be d(4). Let s = -6 + n. Suppose 5*p + 2*r - 30 = s, -2*r + 3 = -7. Calculate the greatest common divisor of p and 1.", "output": [ "1" ] }, { "id": "task835-795e9b00195144dc87edaca678d5563a", "input": "What is prob of picking 1 y and 2 g when three letters picked without replacement from nypgpgxgxydddgx?", "output": [ "12/455" ] }, { "id": "task835-0c6c2340d29b43b9a51f5f979caab847", "input": "What is prob of sequence ew when two letters picked without replacement from {w: 1, e: 2}?", "output": [ "1/3" ] }, { "id": "task835-d7d95cd53ac44593932d6f672ed074a8", "input": "Solve 2*m + h - 15 = 0, 35 = 2*m + 2*h + 3*h for m.", "output": [ "5" ] }, { "id": "task835-21ec2b18dcfe40a09513ffe7bc6b008b", "input": "Evaluate 0 - 1 - (-10 - (1 + -5)).", "output": [ "5" ] }, { "id": "task835-f7a338a76e9b464590d0424ef1dfd8b0", "input": "Solve 3*t - 4*g - 5 - 11 = 0, -11 = -3*t - g for t.", "output": [ "4" ] }, { "id": "task835-e1b0693b464341aa907ddaafc664aca4", "input": "What is next in -93, -338, -723, -1230, -1841, -2538, -3303?", "output": [ "-4118" ] }, { "id": "task835-eb945b9bdae547b296d0b8133cebf2cc", "input": "What is twenty-seven halves of a century in decades?", "output": [ "135" ] }, { "id": "task835-63d2056604bb4732929d5722317e9132", "input": "Calculate prob of picking 4 x when four letters picked without replacement from {x: 5, u: 8}.", "output": [ "1/143" ] }, { "id": "task835-9b4f69a7c25f41fb81800fc5e11e79aa", "input": "What is 0.416 take away 0.13?", "output": [ "0.286" ] }, { "id": "task835-c6ccb92457ed40b2a9d03e5df0a7940e", "input": "Let r = 4 - 8. Let p = r - -4. Suppose c + 2*x - 82 = -3*c, 4*c + 5*x - 97 = p. What is the units digit of c?", "output": [ "8" ] }, { "id": "task835-e1d3c1632d544de4900d7e45a029b5f0", "input": "What is 100619 to the power of 1/10, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-bf8f2dfec9f14a3db51242f0e739975d", "input": "What is the square root of 21382 to the nearest integer?", "output": [ "146" ] }, { "id": "task835-4a3f21fa8d0c49dbbd802dc8a3726853", "input": "Convert 7.275682l to millilitres.", "output": [ "7275.682" ] }, { "id": "task835-bab04ec5824f4c349bd108b82b631e31", "input": "How many millimeters are there in 5/4 of a meter?", "output": [ "1250" ] }, { "id": "task835-d7951e76cc554a01a125ee31cb08756e", "input": "What is 1/5 of a kilogram in grams?", "output": [ "200" ] }, { "id": "task835-78c05deb6187456aa26f3bfdec4e423f", "input": "Convert 483142.9m to nanometers.", "output": [ "483142900000000" ] }, { "id": "task835-7438feacaf5f4477aac242f7e37d2384", "input": "What is 4/3 of a hour in minutes?", "output": [ "80" ] }, { "id": "task835-5c091c12602d46278cc238671f6a95b7", "input": "What is prob of picking 3 e when three letters picked without replacement from {r: 3, e: 3}?", "output": [ "1/20" ] }, { "id": "task835-1ba53ec256944222a6fa3c785b133a1f", "input": "Calculate prob of sequence ff when two letters picked without replacement from {s: 4, b: 8, f: 4}.", "output": [ "1/20" ] }, { "id": "task835-d4cac38f4ae44e25bf08e5b27df0d5d8", "input": "Let y(i) = i**2 + 1. Let c be y(-3). Find the common denominator of (-394)/56 + (-1)/4 and -1*(-51)/c + -3.", "output": [ "70" ] }, { "id": "task835-4bfe6cfdc28d41d99fd51ee8817042b6", "input": "Suppose 5*f - 191 = 5*k + 89, 0 = -4*k - 20. What is the greatest common divisor of f and 255?", "output": [ "51" ] }, { "id": "task835-b867a69ca5e740f0b8618de0ef95517a", "input": "What is 76/5 of a millimeter in micrometers?", "output": [ "15200" ] }, { "id": "task835-43aa6853669f4d069ec13e3ebbdd2688", "input": "Suppose 3*p + 3*c - 24 = 0, -4*p - 10 + 42 = -3*c. Solve 4*a + o + p - 20 = 0, 3*o + 12 = 0 for a.", "output": [ "4" ] }, { "id": "task835-f0876238945c411997d946dacc5b8590", "input": "Calculate 0.121 - 7.26.", "output": [ "-7.139" ] }, { "id": "task835-36a4d5bf67644184af1280f67986199b", "input": "What is fourty-three halves of a century in years?", "output": [ "2150" ] }, { "id": "task835-ab5f2aff8c7f46aea9407e4f4ab50bdc", "input": "How many micrograms are there in 1/20 of a milligram?", "output": [ "50" ] }, { "id": "task835-0a27a21c1e1d430780c4b091eb245d82", "input": "Convert 39.12191 tonnes to milligrams.", "output": [ "39121910000" ] }, { "id": "task835-59967717c64b45abb6543262db44ade7", "input": "What is 1.794913 years in millennia?", "output": [ "0.001794913" ] }, { "id": "task835-de78e004021d40f6896770deae49380f", "input": "What is prob of sequence dada when four letters picked without replacement from daddda?", "output": [ "1/15" ] }, { "id": "task835-c74badb06eb84b3698661e57b4daab47", "input": "-4 + (6 - 11) + 4", "output": [ "-5" ] }, { "id": "task835-7a1a9a741ab14206bcda64bd0bcfb3cc", "input": "Four letters picked without replacement from mcmmmuummmucumummim. Give prob of sequence ccum.", "output": [ "55/46512" ] }, { "id": "task835-5cb7ed3fa54f44db9d581adb3f14f09b", "input": "Convert 8038.306 millennia to months.", "output": [ "96459672" ] }, { "id": "task835-ceb5ad8d35c548acbdac0a0364e89210", "input": "Calculate prob of picking 3 q when three letters picked without replacement from {q: 4, g: 6}.", "output": [ "1/30" ] }, { "id": "task835-52fb3f3769f14fb59e38631ff7f3b6f2", "input": "What is next in -63, -100, -163, -264, -415, -628?", "output": [ "-915" ] }, { "id": "task835-7142548602494a36a9b0a7d4670e4c4d", "input": "Two letters picked without replacement from gavjllgn. Give prob of sequence ln.", "output": [ "1/28" ] }, { "id": "task835-eb6f0cf944e243bb83fe524534e51e1f", "input": "What is 94.22024 years in months?", "output": [ "1130.64288" ] }, { "id": "task835-8f13de1b1eeb4db6ab525ccf98447549", "input": "Suppose -4*y + 19 - 3 = 0. Suppose 16 = -0*b + y*b. Calculate the lowest common multiple of b and 10.", "output": [ "20" ] }, { "id": "task835-4b920f7560834b4a803767df79496b77", "input": "How many centuries are there in 96910.6 years?", "output": [ "969.106" ] }, { "id": "task835-968470ebea28468b88655e2cc9f0ea90", "input": "What is -100 - 3333?", "output": [ "-3433" ] }, { "id": "task835-256ae23f320b4958b441a2d865055de1", "input": "Calculate prob of sequence vff when three letters picked without replacement from {v: 1, f: 12, a: 6}.", "output": [ "22/969" ] }, { "id": "task835-a79a67f9b6814ca3be3ec485240824c8", "input": "Let z be 16 - (-1)/(1/(-4)). Solve -h = -5*h - z for h.", "output": [ "-3" ] }, { "id": "task835-3444e015db5941ecb1dd315c04331da6", "input": "Solve -4*p - 3*c = -8, -46 + 50 = 2*p - c for p.", "output": [ "2" ] }, { "id": "task835-696d5987804442e2aa91809e153a12c2", "input": "What is 9.897415mg in kilograms?", "output": [ "0.000009897415" ] }, { "id": "task835-fb784467e54d4504bd7564ecb330916c", "input": "Calculate prob of sequence ddyy when four letters picked without replacement from ydyddydd.", "output": [ "1/14" ] }, { "id": "task835-ae8756dca4d54302aa136cb02840e437", "input": "Two letters picked without replacement from qsqsss. Give prob of sequence sq.", "output": [ "4/15" ] }, { "id": "task835-78542ce1a39f451ab5fc1ebc0316edfa", "input": "Calculate prob of sequence xffg when four letters picked without replacement from {g: 8, f: 4, x: 4}.", "output": [ "4/455" ] }, { "id": "task835-074f3dc5060243fc998098c02f79eadc", "input": "Let p = -10 + 85. What is the greatest common divisor of p and 3?", "output": [ "3" ] }, { "id": "task835-78af79f4f82e462bbc6d6db0d895b472", "input": "Calculate -27 + 29 - (-2 + 3).", "output": [ "1" ] }, { "id": "task835-af1d0651f13e4ad69256023a22cf9c58", "input": "How many millimeters are there in 3/50 of a meter?", "output": [ "60" ] }, { "id": "task835-0b1ebaaec97d4106bad7e013dd7d1fe4", "input": "Suppose -12 = l + 2*l. Let d = l + 22. What is the remainder when 35 is divided by d?", "output": [ "17" ] }, { "id": "task835-5d7668c23c18469e8051cc6ea5ac7fa2", "input": "Solve -8*b = -0*b - 16 for b.", "output": [ "2" ] }, { "id": "task835-c8ee8fc37dd1480a8475b654a483af83", "input": "Let g be (-3)/15 - (-1)/5. Suppose g*c - 10 = -2*c. Suppose 0 = 3*b - 17 + 5. Solve z = c*z, 0 = -b*w - 4*z for w.", "output": [ "0" ] }, { "id": "task835-c7d3eb1727cc43ecb1c1082cfa43579a", "input": "Suppose 5 = a, 3*j + 2*j - 35 = -4*a. Let s be -4*j/(-6) - 6. Let q = s + 6. Solve 0 = -q*k + 3*k for k.", "output": [ "0" ] }, { "id": "task835-90ddebb99eef4103b3e2b13d7d3a9fb7", "input": "Let w be -2 + (0 - -1*2). Let d be (80/(-5))/(2/(-2)). Suppose -2*q - q + 31 = -5*r, w = -2*q - 4*r - d. What is the units digit of q?", "output": [ "2" ] }, { "id": "task835-4c5d040ddf324c03890fd16c4bf9e1d6", "input": "Suppose 4*n + 20 = -0*n. Let j = -5 - n. Let m be (60/4)/(1 - j). Calculate the highest common divisor of 15 and m.", "output": [ "15" ] }, { "id": "task835-7f14779a0e424c31aed8444160cb63cd", "input": "Four letters picked without replacement from {r: 19, t: 1}. What is prob of picking 3 r and 1 t?", "output": [ "1/5" ] }, { "id": "task835-1f92026de78e46a496740f966f1f3586", "input": "What is the value of (-2 + (-15)/(-6))/(10/(-40))?", "output": [ "-2" ] }, { "id": "task835-54163e65e85047fc91a5e71b2b7ac664", "input": "Let x = -41 - -20. Let t = x + 27. Calculate the remainder when t is divided by 4.", "output": [ "2" ] }, { "id": "task835-0335374b67af445897463685cad8fd57", "input": "Three letters picked without replacement from {r: 3, g: 1, b: 1, q: 1, k: 1}. Give prob of sequence gbq.", "output": [ "1/210" ] }, { "id": "task835-b50c874322c243ea8aac28b7ebab8ccc", "input": "Solve -31*c + 50 = 236 for c.", "output": [ "-6" ] }, { "id": "task835-d20d1b0eee9c4c5fb7a2109d99c08057", "input": "Calculate prob of sequence ybsf when four letters picked without replacement from bbfbbfbspyqf.", "output": [ "1/792" ] }, { "id": "task835-5a47a877430b45b3b5b89e6dd1976145", "input": "What is prob of sequence snns when four letters picked without replacement from suusuossnn?", "output": [ "1/210" ] }, { "id": "task835-6ad00e134a5d4adfbb1c654df427d07b", "input": "Convert 528065.5mm to kilometers.", "output": [ "0.5280655" ] }, { "id": "task835-4ca26f28ab0f4bd3bd1ed243332ea016", "input": "What is the value of (11/(-4))/((-3)/(-6))*-2?", "output": [ "11" ] }, { "id": "task835-c36e97531a6243a0a576cb3ada7c4db4", "input": "Suppose -2*r + 17 = -53. Calculate the remainder when r is divided by 14.", "output": [ "7" ] }, { "id": "task835-c5524b07f34d4c1f800219913f0af85c", "input": "How many micrometers are there in 6/25 of a millimeter?", "output": [ "240" ] }, { "id": "task835-4a705077a9b343549af3fad6bee5693f", "input": "Let t = 89 + -74. What is the smallest common multiple of t and 5?", "output": [ "15" ] }, { "id": "task835-026cb959337f4c2a8e165d1642f71615", "input": "Suppose 0 = -4*t + g + 51, t + 2*t - 51 = 5*g. What is the smallest common multiple of t and 14?", "output": [ "84" ] }, { "id": "task835-83fdcd6cdedc49adbd6c3a5a8a991b14", "input": "Solve -89*y - 144 = -105*y for y.", "output": [ "9" ] }, { "id": "task835-0fe17df0d5c24fe79b44ba7ceac016ab", "input": "Solve 4*o + 7 = -0*o - 5*k, -11 = 2*o - 5*k for o.", "output": [ "-3" ] }, { "id": "task835-3be953b353ea44b28b505aae29c8c41b", "input": "What is 4/3 of a decade in months?", "output": [ "160" ] }, { "id": "task835-8a0dddf0ad0447aa89a7c36945001fe4", "input": "Suppose 3*f + n = -0*n + 13, -5*n + 20 = 0. Suppose f = 3*d - 3. Suppose 6 = -p + 7. What is the remainder when d is divided by p?", "output": [ "0" ] }, { "id": "task835-54ed6323468d47068782936948ce7b41", "input": "In base 3, what is 10022 + -11?", "output": [ "10011" ] }, { "id": "task835-c7255707c0bd4cada8b4817097123a40", "input": "What is 56.13481 centimeters in micrometers?", "output": [ "561348.1" ] }, { "id": "task835-ef4c4a604997432d883865eca9387742", "input": "What is the next term in -61, -67, -85, -121, -181?", "output": [ "-271" ] }, { "id": "task835-80dbbab52dfd4b66bd20b4163a7719d8", "input": "What is 32.79 take away 7?", "output": [ "25.79" ] }, { "id": "task835-8b81bee35a474065a6d098449229e2d8", "input": "Calculate 3805*0.5.", "output": [ "1902.5" ] }, { "id": "task835-a3c9a9f9875544b3b1d3987fd66aa739", "input": "Convert 672557.7 litres to millilitres.", "output": [ "672557700" ] }, { "id": "task835-d4751d30ff7c48d6a70f2582f9e47f97", "input": "What is prob of picking 2 i and 1 a when three letters picked without replacement from {u: 2, a: 1, i: 14}?", "output": [ "91/680" ] }, { "id": "task835-88337c7ec9294d9fafc9bba34f6c04a3", "input": "Solve -46 = -8*z - 14 for z.", "output": [ "4" ] }, { "id": "task835-6b03d27adaa2478d98d1ef14b932fa81", "input": "Suppose -3*s - 2*s = 4*b + 10, -2*s - 3*b = 11. Solve -s*d = -3*d for d.", "output": [ "0" ] }, { "id": "task835-a76053ccd5a64a8fb38bf8f9512dae53", "input": "Calculate prob of sequence hiii when four letters picked without replacement from {h: 1, i: 3}.", "output": [ "1/4" ] }, { "id": "task835-ebb29b3284a4437bac2865d85936193e", "input": "How many millilitres are there in 1/10 of a litre?", "output": [ "100" ] }, { "id": "task835-4896dd03993c4564abab1059c86f9f53", "input": "What is 32127.21mm in nanometers?", "output": [ "32127210000" ] }, { "id": "task835-0612125a366c4350a88d6ed966cfbc8c", "input": "Suppose -5*z + 25 = -4*z. What is the remainder when z is divided by 14 - (-2 + (5 - 2))?", "output": [ "12" ] }, { "id": "task835-fa4b55f54c434d2b8abd2131d96b5858", "input": "What is 7.592209 centimeters in micrometers?", "output": [ "75922.09" ] }, { "id": "task835-c92ff11669d2425daa8a98df79f2483b", "input": "What comes next: -950, -952, -954, -956, -958?", "output": [ "-960" ] }, { "id": "task835-f0d7c19c8bc64b7d8fc57b717bdd704c", "input": "What is next in 15250, 15249, 15248, 15247, 15246?", "output": [ "15245" ] }, { "id": "task835-3cba33fdf9ef4798bb9ee3d2177ea809", "input": "Suppose -4*i = -11 + 3. Suppose i*b - 46 = -2*j, 2*b - 25 = -j + 3*b. Suppose -j = -2*d - d. What is the remainder when 14 is divided by d?", "output": [ "6" ] }, { "id": "task835-da7ff727730a48e7ba5b5fddb619bf0a", "input": "What is 51*(-5)/35 + 7?", "output": [ "-2/7" ] }, { "id": "task835-de9e77a98d4a4c2c856bd24af8487b71", "input": "Convert 0.47236 milligrams to tonnes.", "output": [ "0.00000000047236" ] }, { "id": "task835-e61b5a66a63341eb99851856c70cf60d", "input": "Two letters picked without replacement from {l: 2, j: 6}. What is prob of picking 1 j and 1 l?", "output": [ "3/7" ] }, { "id": "task835-55b5591d437547bd853c86122d11e9ba", "input": "What is one tenth of a decade in months?", "output": [ "12" ] }, { "id": "task835-432c15077be54ebb902db4b8fb29807b", "input": "How many nanoseconds are there in 0.9277696 minutes?", "output": [ "55666176000" ] }, { "id": "task835-d176763d49104bef8d03116db456dcbc", "input": "Convert 309.377 days to microseconds.", "output": [ "26730172800000" ] }, { "id": "task835-a53e4840d0cc48008c6b13383d7bfffb", "input": "Solve -147 = -4*w - 163 for w.", "output": [ "-4" ] }, { "id": "task835-0fbf1dc5c88e4ee4927e66e583149074", "input": "Suppose -l + 57 = 8. What is the tens digit of l?", "output": [ "4" ] }, { "id": "task835-03c970fc3469498a98a08eb229ebafc8", "input": "Let d = 15 - 13. Let x be (-2)/(-4) - (-5)/2. Suppose -d*s + x = -9. What is the highest common divisor of 36 and s?", "output": [ "6" ] }, { "id": "task835-1bae10a2f1394dd1b75437d7a08fe33f", "input": "Let g = -63 - -75. What is the remainder when g is divided by 8?", "output": [ "4" ] }, { "id": "task835-6a63d1f7c2444b19a15ec4c6f3440af2", "input": "What is thirty-one fifths of a gram in milligrams?", "output": [ "6200" ] }, { "id": "task835-17754a2a8191427594f9198fa289b9ee", "input": "How many months are there in 7/2 of a millennium?", "output": [ "42000" ] }, { "id": "task835-fa9879f284db49baa0d1d92eba942939", "input": "Suppose 0 = -j - 2. Let k = 0 - j. Suppose 0 = k*g + w + 2, 5*g = 3*g - 4*w - 8. Solve q - 2*v + 4 = 0, -4*q + 0*v - 3*v + 28 = g for q.", "output": [ "4" ] }, { "id": "task835-7c0d873cad834fabbf13ee1ed338fdf1", "input": "How many tonnes are there in 59.40927ug?", "output": [ "0.00000000005940927" ] }, { "id": "task835-10e83745a2104c41a1442d19e1de567c", "input": "What is thirty-one halves of a microsecond in nanoseconds?", "output": [ "15500" ] }, { "id": "task835-edfcc8d539fb47c19634660a4ec1bc83", "input": "150 divided by -8", "output": [ "-75/4" ] }, { "id": "task835-0420656a0bcf4e13991afed56f5110b0", "input": "What is the product of 9 and -22?", "output": [ "-198" ] }, { "id": "task835-b6f877c34fe5433fbeeaa54335addf6b", "input": "Solve 2*x - t = -10, -3*x + 5*x = 5*t - 26 for x.", "output": [ "-3" ] }, { "id": "task835-e040f47ba7ba4265bbcec255c1a968ee", "input": "How many decades are there in 17/2 of a millennium?", "output": [ "850" ] }, { "id": "task835-54f79b8720d8467280b002f06b5289c5", "input": "Let j(q) = 1. Let x(l) = 4*l - 2. Let t(u) = -3*j(u) - x(u). Let w be t(-1). Let z be w/(1 + (-75)/84). Calculate the greatest common divisor of z and 42.", "output": [ "14" ] }, { "id": "task835-e9887c9331854bc6b0f6e44318b9d106", "input": "What is 10 + 4 + (8 - 15)?", "output": [ "7" ] }, { "id": "task835-dbe06ec670d44a3d8e5612b9a5564e2f", "input": "Let h = -3 - -5. Suppose -3*t + 3*p + 3 = -p, -p = -2*t + h. Let i be 1*(2 - 0) - t. Solve -2*l - i = -l for l.", "output": [ "-1" ] }, { "id": "task835-45337f70d4a6492db5aeed970fa3f1ff", "input": "In base 13, what is -4b + 10?", "output": [ "-3b" ] }, { "id": "task835-d596b1e61c774782a34c4fac176893c2", "input": "In base 13, what is 7a79 - -5?", "output": [ "7a81" ] }, { "id": "task835-ede6ffcebd5644b9a5fca6c9aebf7842", "input": "What is 55/4 of a hour in minutes?", "output": [ "825" ] }, { "id": "task835-855f447eca3a432ca06ed403fbfbce0b", "input": "Let x(k) = 11*k - 7. Let s = 8 - 5. What is the tens digit of x(s)?", "output": [ "2" ] }, { "id": "task835-87cb561cc5f84591b63ce2f75b63d7f0", "input": "How many centimeters are there in 2052.813km?", "output": [ "205281300" ] }, { "id": "task835-5c4f333e14564f02b4123e7f84471285", "input": "Suppose -852 = -z - 2*z. Suppose -96 = -4*t + z. Suppose -7*q + 2*q + t = 0. Solve h = -5*o + q, 0 = 2*o + 4*h - 5*h - 9 for o.", "output": [ "4" ] }, { "id": "task835-9dbe8a41e8b24b39a6169fefcf6e1b67", "input": "Suppose 5*j - 1126 + 331 = 0. What is the tens digit of j?", "output": [ "5" ] }, { "id": "task835-de4cdf59675946aeb86ab2b6d630db0e", "input": "Three letters picked without replacement from dxaxxaaxxxaax. What is prob of sequence aad?", "output": [ "5/429" ] }, { "id": "task835-cfb0c8e2c8e9479eb98f2ee9ad26c6ab", "input": "What is the third root of 194920 to the nearest integer?", "output": [ "58" ] }, { "id": "task835-82c9122b333b4f399cf94b9571c7249e", "input": "Three letters picked without replacement from {e: 4, z: 1, r: 9}. What is prob of picking 3 r?", "output": [ "3/13" ] }, { "id": "task835-39bc208680b343aa9571ee01a6c0910d", "input": "What is 1/4 of a kilogram in grams?", "output": [ "250" ] }, { "id": "task835-44af4f3320e64672a97467329fb4de9d", "input": "Four letters picked without replacement from {e: 3, q: 9, r: 1, o: 2, c: 3}. Give prob of sequence ccoq.", "output": [ "1/680" ] }, { "id": "task835-f93cf3266e204f73964b6dacc60a1777", "input": "Calculate prob of picking 2 u and 1 y when three letters picked without replacement from uyuucuyyuycuu.", "output": [ "42/143" ] }, { "id": "task835-9074be21660f4e07841180ea63468c33", "input": "Suppose 0 = -c - 1 + 6. Suppose 9 = -3*m - c*i, 5 = -m - 3*i - 2. Solve 2*u + 0 - m = 0 for u.", "output": [ "1" ] }, { "id": "task835-4cc1c774361a44de88a00eefc0cdb1a3", "input": "Two letters picked without replacement from hjhwxjjhwhzuux. Give prob of sequence uh.", "output": [ "4/91" ] }, { "id": "task835-185ace5b1d564d07be9904c779e27719", "input": "Let k(v) be the second derivative of v**5/20 + 7*v**4/12 - v**2 + 3*v. Let q be k(-7). What is the common denominator of (-87)/(-10) - (q - -2) and 34/7?", "output": [ "70" ] }, { "id": "task835-5c6d89725b07404689b73698b255d6b7", "input": "329/(-210) - 75/(-45)", "output": [ "1/10" ] }, { "id": "task835-537afc5e020b40fea08ee40fa2ca6fa4", "input": "Let c = -2 - -7. Suppose c*z + 14 = 64. Let i = 14 - z. Solve -j = -i*j for j.", "output": [ "0" ] }, { "id": "task835-0a9da9ea0d7b4dad9102f8c1d1a35501", "input": "How many kilograms are there in 75.96654 grams?", "output": [ "0.07596654" ] }, { "id": "task835-14fcf94de5fa48f384b2b74d732b3793", "input": "What is prob of sequence rrr when three letters picked without replacement from bbbrbbbbbwrrwrrrrr?", "output": [ "7/102" ] }, { "id": "task835-1d61a33bab284e1d8ecef1de31599afa", "input": "In base 4, what is 21 + -30?", "output": [ "-3" ] }, { "id": "task835-584aa7d0a3474c9b91facb8d0329f4f1", "input": "Calculate the least common multiple of 3*(-2)/(-27) + (-1424)/(-72) and 2.", "output": [ "20" ] }, { "id": "task835-c23185f79df04de1afce5526a8ea8823", "input": "What is prob of sequence qqaq when four letters picked without replacement from {q: 4, a: 16}?", "output": [ "16/4845" ] }, { "id": "task835-5011b1f73f354b8e8d9c5dfd9ecc8045", "input": "What is the value of ((-18)/(-9))/((-5)/((-5)/(-18)))?", "output": [ "-1/9" ] }, { "id": "task835-6e661d43cef24c6792845b039ec5737d", "input": "How many kilograms are there in 31/2 of a tonne?", "output": [ "15500" ] }, { "id": "task835-4f0e69fab1c74ddb9ed65eb15d56944d", "input": "Solve 414 - 407 = 7*t for t.", "output": [ "1" ] }, { "id": "task835-619858e1b4784702b1ed826074abce6b", "input": "Let t(f) = f**2 + 7*f + 8. Let w be t(6). Let n = -16 + w. Suppose -n = -3*v - 2*v. Calculate the remainder when v is divided by 5.", "output": [ "4" ] }, { "id": "task835-1164ba3064194f7fbad1b95be5931b03", "input": "Calculate prob of picking 1 y and 1 e when two letters picked without replacement from gaggeyygya.", "output": [ "1/15" ] }, { "id": "task835-e4f293fb88e245ddbd88601e205c987c", "input": "Calculate -7 + 7 + (-5 - -3).", "output": [ "-2" ] }, { "id": "task835-4da99e414b504374a53e34a52e7a1fc5", "input": "Suppose 5*v + c + 275 = -0*c, 2*c - 220 = 4*v. Let f = 127 + v. Calculate the highest common divisor of 24 and f.", "output": [ "24" ] }, { "id": "task835-dbf9157ffc8046de81757ecf71647b9e", "input": "How many nanograms are there in 1/64 of a milligram?", "output": [ "15625" ] }, { "id": "task835-e5a7c79d78f64f52836761344956a6f4", "input": "Solve -3*v + 0*v = -2*w - 2, -4*w = -5*v + 6 for w.", "output": [ "-4" ] }, { "id": "task835-3e5a55470850496fb92231258022245d", "input": "What is prob of picking 1 z, 1 b, and 2 n when four letters picked without replacement from abtatanbjjtzajanajja?", "output": [ "2/4845" ] }, { "id": "task835-0192d99f842f4e098028bd95b3def59a", "input": "What is 101289.3 kilograms in nanograms?", "output": [ "101289300000000000" ] }, { "id": "task835-c29540d0b06a43a1a914651ba1313607", "input": "In base 7, what is -22 - 32?", "output": [ "-54" ] }, { "id": "task835-21f59a43cf7844cd944d2826ec3edbd7", "input": "Solve -33 = -11*s - 0 for s.", "output": [ "3" ] }, { "id": "task835-2e7538da25394188906b7258b3a2756e", "input": "Evaluate -2 - 118/(-40) - 24/32.", "output": [ "1/5" ] }, { "id": "task835-ad2165c9d25d4870bf80b41d9f6a887b", "input": "Solve -5 + 25 = -5*l for l.", "output": [ "-4" ] }, { "id": "task835-21cb4f18b93a477a96dbd74392d265d5", "input": "What is seven halves of a meter in centimeters?", "output": [ "350" ] }, { "id": "task835-55d965b8ebeb4b4aaf394496c2ec1bcf", "input": "What is 8155.566cm in millimeters?", "output": [ "81555.66" ] }, { "id": "task835-3d48c6bd404148c58df69ff9ba10319a", "input": "Let f(c) = -3*c - 5. Let t(u) = -3*u - 4. Let g(v) = -5*f(v) + 6*t(v). Let s be g(1). Let h = s + 8. Solve -m - h = -4*m for m.", "output": [ "2" ] }, { "id": "task835-5fd67870946944d0b6b78b7ecab8abb2", "input": "Calculate 35 divided by -7.", "output": [ "-5" ] }, { "id": "task835-08a6fdf6dc48404e97718b3d5155fc89", "input": "What is the smallest common multiple of 4 and 3/4 + 52/16?", "output": [ "4" ] }, { "id": "task835-ab5db39a16e94c1fb45a4f42b82f6399", "input": "Let l(g) = -2*g**2 - 6*g. Let x be l(-5). Calculate the remainder when (-8)/(-20) - 752/x is divided by 10.", "output": [ "8" ] }, { "id": "task835-154923f88c1e4fd8bdf6577b8dd6fde3", "input": "Let v = 147 - 77. What is the highest common factor of v and 10?", "output": [ "10" ] }, { "id": "task835-fd3a870c90ba4895858009f955405b82", "input": "Calculate prob of picking 1 f and 1 h when two letters picked without replacement from {s: 5, f: 4, x: 1, h: 1, j: 1}.", "output": [ "2/33" ] }, { "id": "task835-99120c52378040ea82efc6e73ae4c0b0", "input": "Calculate prob of sequence btwq when four letters picked without replacement from {h: 3, t: 1, q: 5, b: 1, w: 3}.", "output": [ "1/1144" ] }, { "id": "task835-da2987fb2261401aa8755f7ee57a885d", "input": "How many litres are there in 6.763399 millilitres?", "output": [ "0.006763399" ] }, { "id": "task835-0eefbf4d9e4d4bb0ae0db8e6361f8cf7", "input": "In base 9, what is -432 - -5?", "output": [ "-426" ] }, { "id": "task835-c1cbc7d887a948c38caa08e93e1fecb8", "input": "What is the tens digit of (-392)/(-32) - (-1)/(-4)?", "output": [ "1" ] }, { "id": "task835-6c70fd23358c4b18bdc693b75a8f4a40", "input": "Solve -21*q = -22*q - 2 for q.", "output": [ "-2" ] }, { "id": "task835-8e54702789f1451382ff606f7010eeb4", "input": "What is prob of picking 2 l and 2 n when four letters picked without replacement from {n: 2, l: 8}?", "output": [ "2/15" ] }, { "id": "task835-096518e70e5844a18324278992ec6f88", "input": "Let a = 3 - 4. Let p be a + 2/1*-1. Find the common denominator of p/(-6)*(-98)/(-18) and -71/10.", "output": [ "90" ] }, { "id": "task835-d1f5a5f278754341992a2c226c08accd", "input": "Solve 0 = -7*b - 4 + 11 for b.", "output": [ "1" ] }, { "id": "task835-a0d6759ff65642feaff842ce78688a30", "input": "Let o = 9 - -56. Let z = o + -35. Suppose -5*u = -2*u - z. Calculate the remainder when 19 is divided by u.", "output": [ "9" ] }, { "id": "task835-7ad260d0594344f18b7fba92e715f014", "input": "Convert 60584340.6 minutes to weeks.", "output": [ "6010.35125" ] }, { "id": "task835-49ff86d59b9a467f99dcec6037f5b3d8", "input": "Calculate 4 + -2 + -1 + (2 - -1).", "output": [ "4" ] }, { "id": "task835-4c1fea8862904afb910a6114d1446913", "input": "Let r(b) = 4*b - 7 + 2*b + 4*b - b**2. Suppose -l = -2*l + 7. Let q be r(l). Calculate the greatest common divisor of q and 112.", "output": [ "14" ] }, { "id": "task835-ee6222fb95fc47f4a34fdaa2a3c96a5c", "input": "Suppose -5*g + 4*r - 114 = -774, 0 = -2*g - 3*r + 287. What is the highest common divisor of g and 17?", "output": [ "17" ] }, { "id": "task835-4b62771effdf4a539e6fdd7a02dd51f2", "input": "What is (-14)/(-10) - 1 - (-135)/225?", "output": [ "1" ] }, { "id": "task835-ad4500f0d87b4a528016b962e9fc425e", "input": "Calculate prob of sequence ttzt when four letters picked without replacement from {z: 4, t: 3}.", "output": [ "1/35" ] }, { "id": "task835-a7169e6d5b64455cb6b1c654e9c98599", "input": "What is 680 to the power of 1/5, to the nearest integer?", "output": [ "4" ] }, { "id": "task835-86bec488112b479d934bfeb25623e5d8", "input": "What is prob of picking 1 x and 3 d when four letters picked without replacement from dddddddddddddxddddd?", "output": [ "4/19" ] }, { "id": "task835-daec4d2538834567b1af099cc226e120", "input": "Solve 1555 - 535 = -170*r for r.", "output": [ "-6" ] }, { "id": "task835-982fa72b29bd4242a718e3ec612eab19", "input": "Calculate prob of picking 1 n and 2 a when three letters picked without replacement from {v: 3, a: 4, n: 7}.", "output": [ "3/26" ] }, { "id": "task835-e6f971ff665244f79633e44cb5993b1e", "input": "((-36)/15)/((-176)/(-440))", "output": [ "-6" ] }, { "id": "task835-ef69c5de4733470892f642238cb62686", "input": "What is the value of -8 + 2 - (-3 - -4)?", "output": [ "-7" ] }, { "id": "task835-613b71aaac1341868ad88dcc70cfe8d1", "input": "Suppose 2*g - 43 = g. Suppose 2*n = 3*u + g, -1 = u + 2. What is the tens digit of n?", "output": [ "1" ] }, { "id": "task835-38a4c061fe0f4d6b98b31bb054bcc958", "input": "Calculate -4 divided by 3565.", "output": [ "-4/3565" ] }, { "id": "task835-056fd303ef8543c5b9a18a9b5490ab12", "input": "What is next in 168, 167, 164, 159, 152, 143?", "output": [ "132" ] }, { "id": "task835-2d11074ed6a446ea8d8905cff6a67e38", "input": "Two letters picked without replacement from {m: 4, y: 2}. Give prob of sequence yy.", "output": [ "1/15" ] }, { "id": "task835-26bba78fc12c4d2287138a8c7c7d75a0", "input": "Let k(f) = 8*f. Let u(l) = -l**2 + 5*l - 1. Let r be u(4). Let v be k(r). What is the greatest common factor of v and 36?", "output": [ "12" ] }, { "id": "task835-777ffc2574ca45279785600fc691fd14", "input": "Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k?", "output": [ "1" ] }, { "id": "task835-a7a07e77db9c4c8f82e27942a5ebdffc", "input": "Solve 585*j = 625*j for j.", "output": [ "0" ] }, { "id": "task835-dffd81ab22f349639cb6c3c5484c8ab9", "input": "Solve 62 = 12*a + 2 for a.", "output": [ "5" ] }, { "id": "task835-e39175e8f68f48bfae1b15d98d9ad186", "input": "Let o(c) = 2*c**2 - 5*c. Let k be o(4). Let z = k + 12. What is the remainder when 47 is divided by z?", "output": [ "23" ] }, { "id": "task835-a9c9d3549ac1430cac62cd7c0bcac03e", "input": "In base 7, what is -1055 + 1?", "output": [ "-1054" ] }, { "id": "task835-33542123ed3447e0b7fa8e3d418b472a", "input": "What is 330.9 - 0.7?", "output": [ "330.2" ] }, { "id": "task835-8fa3d06b8dc244e48295dff5a68c3379", "input": "Let y = 37 + -31. Calculate the highest common divisor of y and 12.", "output": [ "6" ] }, { "id": "task835-8a65366f1f914282b6e3d08a327b6a3c", "input": "Work out -4 + 4.542.", "output": [ "0.542" ] }, { "id": "task835-0d3399ec0720404a8fef16d2a209c5d8", "input": "Three letters picked without replacement from {p: 4, s: 16}. Give prob of picking 3 p.", "output": [ "1/285" ] }, { "id": "task835-ad87d8ca67d4495e8d10636b68d93ec7", "input": "Calculate 0.1*12.1.", "output": [ "1.21" ] }, { "id": "task835-90a79d7b8c3549f9907b1b6de8203fdd", "input": "Let v = -18 + 23. Let t = v + 20. Solve 0 = -3*r + 12, 0*b + b - t = -5*r for b.", "output": [ "5" ] }, { "id": "task835-b9bc3090151b4811a5a47c94eb982cd6", "input": "How many litres are there in 8795.816ml?", "output": [ "8.795816" ] }, { "id": "task835-0298304139684f0fad5258626e68acfc", "input": "Calculate prob of sequence qucu when four letters picked without replacement from jquqccjujqqqcuq.", "output": [ "3/910" ] }, { "id": "task835-41ff66dc38e044efa741993d5cff18a7", "input": "Four letters picked without replacement from {w: 1, m: 1, d: 1, b: 5, v: 6}. What is prob of sequence dvbv?", "output": [ "25/4004" ] }, { "id": "task835-02e44968a10a4e3881f2b40e21f99a02", "input": "What is prob of sequence vql when three letters picked without replacement from lqvjj?", "output": [ "1/60" ] }, { "id": "task835-95e38a3021904f18ba0d1bdeb1265c47", "input": "Two letters picked without replacement from shrhshhvc. What is prob of sequence vs?", "output": [ "1/36" ] }, { "id": "task835-ae1575bef40a47eabe81838bce450f45", "input": "What is 614587.8ns in seconds?", "output": [ "0.0006145878" ] }, { "id": "task835-d67e822dbfb848869598a9118c85055b", "input": "Let h(p) = p + 1. Let y(d) = -2*d - 3. Suppose -3*x + 1 - 4 = 0. Let z(c) = x*y(c) - 3*h(c). Let g be z(0). Solve 0 = 2*s - g + 8 for s.", "output": [ "-4" ] }, { "id": "task835-7dcc88c153d34da6a06dff5b324f23a4", "input": "Let k(h) = -h**2 + 5*h + 2. What is the least common multiple of k(4) and 3?", "output": [ "6" ] }, { "id": "task835-436932ad7555473eac793cf702d85901", "input": "What is the next term in -363, -368, -383, -414, -467, -548, -663?", "output": [ "-818" ] }, { "id": "task835-e91c050f76ae438d8637c33909005611", "input": "Let q(w) = 9*w - 3. Suppose -3*x = 4*m + m + 28, 0 = -3*x + 3*m - 12. Let c(l) = l**2 + 7*l + 8. Let o be c(x). What is the tens digit of q(o)?", "output": [ "1" ] }, { "id": "task835-5b27bfb50f5648f2b9c6f2e71be963e2", "input": "What is the fourth root of 110 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-1b3dcbc496124204ac0e5ee00120cd74", "input": "How many months are there in thirteen fifths of a millennium?", "output": [ "31200" ] }, { "id": "task835-b70d68c9c6b04c62992a7bf34139b398", "input": "7/((-1008)/(-102)) - 18/48", "output": [ "1/3" ] }, { "id": "task835-3aad7f65f53a49faa92de13a23115eeb", "input": "What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuuu?", "output": [ "1" ] }, { "id": "task835-78c0b80526504e1c8c1c81886b0f7529", "input": "Convert 679772.9 nanometers to kilometers.", "output": [ "0.0000006797729" ] }, { "id": "task835-b01fda593e474681a93bada484330c7f", "input": "Calculate (-72 - -77) + (1 - 11).", "output": [ "-5" ] }, { "id": "task835-a9d1738c33584b93b39c159bff84113a", "input": "Two letters picked without replacement from {u: 1, q: 2, x: 1, s: 2, k: 2, m: 4}. Give prob of picking 1 s and 1 m.", "output": [ "4/33" ] }, { "id": "task835-c8b672d1e42d42b795f17658da6bc341", "input": "Four letters picked without replacement from cjjacrjjcjoaa. Give prob of picking 1 r, 2 a, and 1 c.", "output": [ "9/715" ] }, { "id": "task835-fdacd7375d6e4da0ab7bbdf47b5ba25c", "input": "What is next in 42, 55, 68, 81, 94, 107?", "output": [ "120" ] }, { "id": "task835-aa9b445d107c44878b679b59a5f45bc6", "input": "What is the next term in -72, -77, -82, -87, -92, -97?", "output": [ "-102" ] }, { "id": "task835-69c2f357e27d4e4fb5a8106d8664a982", "input": "What is 170524 to the power of 1/2, to the nearest integer?", "output": [ "413" ] }, { "id": "task835-d8e069d9fd3c45a680ceca93cff1fe09", "input": "Solve -4*f = 3*o - 3 + 4, 2*o - 3*f - 5 = 0 for o.", "output": [ "1" ] }, { "id": "task835-7a710a9d796e4e2fb9ea57faa0b50305", "input": "Suppose 5*g = 85 - 0. Suppose -4*d - 4*m + m + 27 = 0, 2*d + 5*m - 3 = 0. What is the remainder when g is divided by d?", "output": [ "8" ] }, { "id": "task835-9720f8d2c96b440ab04657f7096ef103", "input": "Calculate 0*-0.09.", "output": [ "0" ] }, { "id": "task835-1137165e67774f06b908264ea05e60d5", "input": "What is 9704.919l in millilitres?", "output": [ "9704919" ] }, { "id": "task835-97bf1dcd38a543efa81b06b82f8499da", "input": "What is 49836.55 decades in millennia?", "output": [ "498.3655" ] }, { "id": "task835-2d9d794785ce4bd7b0d63d22587d9fc9", "input": "What comes next: -475, -475, -473, -469?", "output": [ "-463" ] }, { "id": "task835-048835a91c54400b9fb259096e0a8c40", "input": "Calculate -19 divided by -1.", "output": [ "19" ] }, { "id": "task835-b1d3cb5a91014eb28c4128ac30c71b27", "input": "What is prob of sequence ip when two letters picked without replacement from ipkkkppkiiiiiikkpk?", "output": [ "14/153" ] }, { "id": "task835-a504a71e30c74d7db8016efbbc1a3508", "input": "Calculate ((-12)/(-50))/((-20)/50).", "output": [ "-3/5" ] }, { "id": "task835-94a1e2bf1ed5496e85e24fdded60c7e9", "input": "What is 1/5 of a centimeter in micrometers?", "output": [ "2000" ] }, { "id": "task835-01b3eec613d94bdc914bb33341042b7d", "input": "What is 28.5795 months in centuries?", "output": [ "0.02381625" ] }, { "id": "task835-2060eca1144f421c817b89ff764bac01", "input": "How many millilitres are there in thirteen fifths of a litre?", "output": [ "2600" ] }, { "id": "task835-8f039c23661f4d409116e495ef7de2ef", "input": "Let v = 45/58 + -3879/290. What is the common denominator of v and 26/9?", "output": [ "45" ] }, { "id": "task835-07fd1d9d977e4c8798802285832184b3", "input": "What is 2.781834 millennia in centuries?", "output": [ "27.81834" ] }, { "id": "task835-882371ae97dc4509856cee69b471a180", "input": "Calculate prob of picking 2 i when two letters picked without replacement from {x: 3, m: 3, u: 9, i: 2}.", "output": [ "1/136" ] }, { "id": "task835-5f37a6f931bd453ebc3503851f18201e", "input": "Suppose 22 = 2*b + 4*f, 6*b - 2*b = -3*f + 29. Solve -d - 5 = -3*z, 3*z + 4*d + 0*d = -b for z.", "output": [ "1" ] }, { "id": "task835-2dec8be51fa14db7b8deca9e3dfe64e9", "input": "Solve -k = -4*a + 15, 0 = 6*k - 10*k + a + 15 for k.", "output": [ "5" ] }, { "id": "task835-bcaf62904f3d466a98456a7a0b7380ac", "input": "Let w = -12 - -21. Let n = w + -5. Suppose 0 = -2*p + 6, 5*l - 38 = -0*l + n*p. Calculate the least common multiple of l and 5.", "output": [ "10" ] }, { "id": "task835-b0447169fcfb4b1c9b33c7ea2c764646", "input": "Let v be (-21)/1*(-2)/6. Suppose -5*o - 3*y = -117 - 8, 5*y + 165 = 5*o. Calculate the highest common divisor of o and v.", "output": [ "7" ] }, { "id": "task835-3e8710fbb43a470296a14f832ee31730", "input": "Convert 0.4370841cm to micrometers.", "output": [ "4370.841" ] }, { "id": "task835-56fe8fe8806049419c715b01f7780f15", "input": "How many millilitres are there in 3/50 of a litre?", "output": [ "60" ] }, { "id": "task835-cec9072031fa4332906041a9a45e45eb", "input": "Let b = -19 - -38. What is the greatest common divisor of b and 171?", "output": [ "19" ] }, { "id": "task835-f9879ca9445545de8ff897a0cb823912", "input": "Three letters picked without replacement from hcafxfj. Give prob of picking 1 a and 2 f.", "output": [ "1/35" ] }, { "id": "task835-198f2bef429444e5acc29fdfe30af683", "input": "What is prob of sequence dn when two letters picked without replacement from ndo?", "output": [ "1/6" ] }, { "id": "task835-acc69cb643254385b46a1664fad35a41", "input": "Convert 304545.8ml to litres.", "output": [ "304.5458" ] }, { "id": "task835-5e13803a0d794adb911a2ea290ca1875", "input": "How many nanograms are there in 3/10 of a microgram?", "output": [ "300" ] }, { "id": "task835-d0ef69ba6a0e445c9fb0a05bb296a9e1", "input": "What is the next term in -233, -235, -237, -239, -241?", "output": [ "-243" ] }, { "id": "task835-5763729ac44b4cde8588c7050d2d3919", "input": "How many meters are there in 889020.7km?", "output": [ "889020700" ] }, { "id": "task835-e6245250429d462281210509095795fb", "input": "Two letters picked without replacement from {x: 8, p: 5, a: 7}. Give prob of sequence xa.", "output": [ "14/95" ] }, { "id": "task835-4bb95bfc0bf9470aa7d68e8afd2583cb", "input": "Let c(d) = d**2 + d - 4. Let g be c(-3). Suppose 4*a - 220 = -f - f, a = -g*f + 55. Suppose m + a = 6*m. What is the tens digit of m?", "output": [ "1" ] }, { "id": "task835-385969c2854e4d1cb140d84891c46b1a", "input": "Let z = -20 - -18. Let v be (3/z)/(6/(-504)). Calculate the greatest common divisor of v and 14.", "output": [ "14" ] }, { "id": "task835-e795b639b253492fb8c957bed848b06a", "input": "Convert 65.86704mg to nanograms.", "output": [ "65867040" ] }, { "id": "task835-712775d96ee4447db1dba7f848ff81c7", "input": "What is prob of sequence piwo when four letters picked without replacement from {o: 1, i: 1, p: 1, w: 1, s: 1, a: 2}?", "output": [ "1/840" ] }, { "id": "task835-39405a6c8b754291b847489a71c63b6b", "input": "Solve -4*g = q, -4*g + 2*g + 4*q = 0 for g.", "output": [ "0" ] }, { "id": "task835-db5a0c202b9a421a865ef5e8f34b08e9", "input": "How many years are there in 26/5 of a century?", "output": [ "520" ] }, { "id": "task835-ccd77eede07b405b8dfcfe418ed71896", "input": "What is 4/75 of a week in seconds?", "output": [ "32256" ] }, { "id": "task835-8434bd7f7f4343e5b0053e32ba936d94", "input": "What is prob of sequence nncc when four letters picked without replacement from nccnc?", "output": [ "1/10" ] }, { "id": "task835-6aa9313178b84ccb9ad8b2529bb92818", "input": "What is prob of picking 2 a and 2 g when four letters picked without replacement from {c: 3, a: 2, g: 3}?", "output": [ "3/70" ] }, { "id": "task835-97497594cc194aceacb70a274d41e05a", "input": "Calculate prob of sequence gyy when three letters picked without replacement from {g: 14, y: 4}.", "output": [ "7/204" ] }, { "id": "task835-26d3106031924630b6d581e7452052e4", "input": "0.07*1035", "output": [ "72.45" ] }, { "id": "task835-e7f1ec28864b4ae986fc3f256646c762", "input": "In base 13, what is 226 - -3?", "output": [ "229" ] }, { "id": "task835-e3e7f3e335634e06b9a8fc4ebffbfc48", "input": "What is 36.375kg in micrograms?", "output": [ "36375000000" ] }, { "id": "task835-41ad3a4f1d714ac1b984352257d22d19", "input": "Total of 0.0149 and 0.8.", "output": [ "0.8149" ] }, { "id": "task835-1b52767d16444bf5af891975c0745936", "input": "Two letters picked without replacement from nnnlnlnnnn. Give prob of sequence nl.", "output": [ "8/45" ] }, { "id": "task835-449f09a5f0fb43729f37bbc3f1053480", "input": "Two letters picked without replacement from ffffffffffffffd. What is prob of picking 2 f?", "output": [ "13/15" ] }, { "id": "task835-a1a02c33d2564af8bdbb87156a1e80f8", "input": "Let g = 53 - 18. What is the tens digit of g?", "output": [ "3" ] }, { "id": "task835-506c68a85e3e447c81142b3eafc83300", "input": "How many grams are there in 7/2 of a kilogram?", "output": [ "3500" ] }, { "id": "task835-74032c3e88f14376bd61fd99cbb7d522", "input": "Let t be (63/35)/((-6)/(-40)). Solve 0 = 3*w - c - t, -6 = -w + 3*w + 4*c for w.", "output": [ "3" ] }, { "id": "task835-f2d146b72d8a4496a2ef485ed94ca9ad", "input": "How many millennia are there in 60403.2 months?", "output": [ "5.0336" ] }, { "id": "task835-208f89ac0b0a48598f8a1ba0ff1f72f2", "input": "Suppose 8 = d + 3. Suppose -5*f = 4*h - 3, -5*h = -0*f - d*f - 15. Let u = 3 + h. Solve 3*o + 4*a = -1, u*o + 2*a = 5 - 2 for o.", "output": [ "1" ] }, { "id": "task835-d62dc88dd2af4b4c8494a2408b4de774", "input": "What is 7/2*24/28?", "output": [ "3" ] }, { "id": "task835-2a35f235dec3469095059538fd18574a", "input": "What is 124 times 1.9?", "output": [ "235.6" ] }, { "id": "task835-b684dde1d4a44f47b214da2935390fcb", "input": "Calculate 4/8*6/(-3).", "output": [ "-1" ] }, { "id": "task835-84ccfbbb7e114e3c976c53c7a887a038", "input": "3/(-24) - (-1271)/2296", "output": [ "3/7" ] }, { "id": "task835-5ad9550b950b400fb705591f2c3e9747", "input": "What is the value of 26/42 + (-17)/51?", "output": [ "2/7" ] }, { "id": "task835-0806866289ee4dd8b23d4f9808a2f21e", "input": "In base 6, what is 0 - -543?", "output": [ "543" ] }, { "id": "task835-189cfdd24c6c4323b7387f9e29ef254a", "input": "((-510)/72)/(-17)*22/11", "output": [ "5/6" ] }, { "id": "task835-b7d002734ab94bf9b0c56eccfa4f1806", "input": "Suppose -15 = t - 6*t. Suppose c - 18 = 5*b, 0*b + c + 18 = -4*b. Let d(n) = -n**2 - 5*n - 3. Let i be d(b). Calculate the greatest common factor of i and t.", "output": [ "1" ] }, { "id": "task835-b3c09404811646a299aec31b0ac3aff0", "input": "Two letters picked without replacement from {q: 2, h: 1, p: 4, e: 8}. What is prob of sequence qp?", "output": [ "4/105" ] }, { "id": "task835-047dd0ede9284e9aadeb03f84b3552e9", "input": "In base 10, what is -5 - -4?", "output": [ "-1" ] }, { "id": "task835-c578b2df60984c8f87aed633f39d40d2", "input": "How many millilitres are there in 49.51404l?", "output": [ "49514.04" ] }, { "id": "task835-cf4e44ec474945339a113af88a830086", "input": "Let g(z) be the third derivative of -z**6/120 - z**5/10 + z**4/8 + 7*z**3/6 - 8*z**2. What is the tens digit of g(-7)?", "output": [ "3" ] }, { "id": "task835-aab13854b0a341a1902b728e04af378c", "input": "What is 78.47988 litres in millilitres?", "output": [ "78479.88" ] }, { "id": "task835-a3fb64916ac9442783c37324f528c6a5", "input": "Solve 15*a + 29 = 104 for a.", "output": [ "5" ] }, { "id": "task835-3c2a56abe8dd471781153093e2e13358", "input": "Suppose 0 = p + 2*p - 15. What is the least common multiple of 8 and p?", "output": [ "40" ] }, { "id": "task835-ace48d056d2842c4b469fc598c0e1ee6", "input": "Calculate ((-2)/3)/(-1 - (-24)/9).", "output": [ "-2/5" ] }, { "id": "task835-ad2d22c9fcef4fa999d0d23b21a500d1", "input": "Let k(j) = 2*j**2 - 2. Let i be 1 + (24/(-2) - 0). Let b = i + 21. What is the lowest common multiple of b and k(2)?", "output": [ "30" ] }, { "id": "task835-6858ea627a9b4918bb26852a8ec36522", "input": "Two letters picked without replacement from yyllllllylycl. Give prob of sequence ll.", "output": [ "14/39" ] }, { "id": "task835-5ac7a39da24e4b6bae86f1958ec850ef", "input": "What is -13 take away 0.0376?", "output": [ "-13.0376" ] }, { "id": "task835-47bda5eae29142b4b0340701779ea19d", "input": "Let d(m) = 0*m - 5*m - 2 + 2*m + m. Let x be d(-6). What is the units digit of (-6)/x - 215/(-25)?", "output": [ "8" ] }, { "id": "task835-4191cb86716147ae9ac1b096df3b2878", "input": "Let j(h) be the second derivative of -h**3 - 3*h. Let d be j(-3). Let i(z) = z**2 + 4*z + 1. Let u be i(-5). Calculate the highest common factor of u and d.", "output": [ "6" ] }, { "id": "task835-f0157971f01b4ae7a82c6d5957a7c6c0", "input": "Let q(o) = 2*o**3 - 4*o**2 + 2*o + 1. Let d be (12/(-24))/(1/(-4)). Let w be q(d). Solve 5*c + 4*a + 11 = 0, -2*c + 38 = -w*a + 16 for c.", "output": [ "1" ] }, { "id": "task835-771bef41970f451fa8129a8454226bec", "input": "What is prob of sequence pap when three letters picked without replacement from {a: 1, f: 1, u: 6, n: 2, t: 5, p: 2}?", "output": [ "1/2040" ] }, { "id": "task835-63d0b649f84347c9ad2a17d2d308cfdc", "input": "Three letters picked without replacement from {e: 6, k: 1, f: 5, o: 7}. What is prob of picking 1 o and 2 e?", "output": [ "35/323" ] }, { "id": "task835-9db420e61c73447d8a0a3e836501e1de", "input": "Let n(r) = 3*r + 1 - 2*r + 4 - 4 - r**3. Let i(m) = m**3 - 2*m**2 + 2*m + 1. Let t(x) = i(x) - n(x). What is the remainder when 18 is divided by t(2)?", "output": [ "8" ] }, { "id": "task835-e2276c1c9c4842098e0bca17f02b87d7", "input": "Four letters picked without replacement from {w: 2, k: 1, o: 1, a: 2, b: 2}. What is prob of picking 1 k, 2 a, and 1 b?", "output": [ "1/35" ] }, { "id": "task835-6eecc6c92b364402b81f9b2b2339cd6f", "input": "What comes next: -74, -61, -56, -59, -70, -89?", "output": [ "-116" ] }, { "id": "task835-bfad6435c9c847ea840e7cfcc11fae3c", "input": "What is 49/5 of a microgram in nanograms?", "output": [ "9800" ] }, { "id": "task835-55d8dd8ead4648f4b6f862c8933072d7", "input": "In base 8, what is -40 - 32?", "output": [ "-72" ] }, { "id": "task835-a6fe50ece8e54dc58cfae68c5463bb3a", "input": "What is prob of picking 3 u and 1 c when four letters picked without replacement from {n: 2, c: 4, t: 3, u: 3, x: 7}?", "output": [ "1/969" ] }, { "id": "task835-9826ba7c0c3848f5beb9ecb05e3ae9cd", "input": "Let m = 5 + -3. Let v = m + 11. What is the tens digit of v?", "output": [ "1" ] }, { "id": "task835-b563268453a14a5598584d208102d3e8", "input": "What is -9 divided by 3?", "output": [ "-3" ] }, { "id": "task835-43463bb1e713410dbd4aa31143a60453", "input": "Let k(f) = -f. Let p be k(-3). Suppose -4*s + 19 = o, -p*s + 15 = 2*s + 3*o. Suppose -s*v + 5*v + 43 = 0. Calculate the remainder when v is divided by 22.", "output": [ "21" ] }, { "id": "task835-6a21f0ae3b7842b5aec8bdba19af31cd", "input": "What is prob of sequence heek when four letters picked without replacement from kehhkkhe?", "output": [ "3/280" ] }, { "id": "task835-fc895cf9e9dd40078d1703c74852de24", "input": "Solve -4*w + d + 17 = -w, 17 = -2*w - 5*d for w.", "output": [ "4" ] }, { "id": "task835-191acd81cf514f54885d347c0b71d701", "input": "Calculate prob of picking 1 v, 1 t, and 1 o when three letters picked without replacement from toofvvtfovrvvfooffv.", "output": [ "20/323" ] }, { "id": "task835-54251ee016eb4e21b3346c3e6b8e85f1", "input": "How many grams are there in sixty-one halves of a kilogram?", "output": [ "30500" ] }, { "id": "task835-da66e9f10e884b30b05a4cccd54c1f3e", "input": "Let y(n) = -n**2 + n + 11. Calculate the remainder when y(0) is divided by 8.", "output": [ "3" ] }, { "id": "task835-515b1451813d4f628b15df58a83e9e9a", "input": "Multiply 0.29 and -1.1.", "output": [ "-0.319" ] }, { "id": "task835-ac79cc41cbc24edba90722157a0f801a", "input": "Three letters picked without replacement from afwawfawwwwa. What is prob of picking 2 f and 1 w?", "output": [ "3/110" ] }, { "id": "task835-89c6c8b397fe4ebcb70751572657cafc", "input": "What is 9/16 of a minute in milliseconds?", "output": [ "33750" ] }, { "id": "task835-8b8e2aa4628841f182f97fe2412afbc2", "input": "What is -2 divided by -669?", "output": [ "2/669" ] }, { "id": "task835-ce67d7bf0bef466393e951df2e2c1b5e", "input": "How many weeks are there in 62920708.2 microseconds?", "output": [ "0.0001040355625" ] }, { "id": "task835-e4eca1ff3372458c958194245858a0c6", "input": "Solve 50 = 10*q - 0*q for q.", "output": [ "5" ] }, { "id": "task835-2acc5f2ea5a84af1b20ac9118d85f180", "input": "(-4)/68*(-14)/(-7)", "output": [ "-2/17" ] }, { "id": "task835-f2f85699e92e429491bf1d9aa63d4682", "input": "(0/21)/(10/2)", "output": [ "0" ] }, { "id": "task835-196a57faf89f4cff94f3ddc4c23deff3", "input": "Let c(r) = 10*r - 25. What is the remainder when 8 is divided by c(3)?", "output": [ "3" ] }, { "id": "task835-09f4cacf0d094ebc9b606dedcb3385f3", "input": "Suppose 86*l = 87*l. Let y(i) = -i + 8. Let p be y(5). Suppose -2*n + p = 1. Solve -x + l*x = -n for x.", "output": [ "1" ] }, { "id": "task835-abfa52df50d24691ba91da2cff8e2db8", "input": "What is fourty-five eighths of a meter in millimeters?", "output": [ "5625" ] }, { "id": "task835-7c5c940828274b6abf6fa6f490bb5ba6", "input": "Four letters picked without replacement from gpogdid. What is prob of sequence pggo?", "output": [ "1/420" ] }, { "id": "task835-50536ae30ba44ca7b99def6927c64854", "input": "Let o = 4 + -3. Let s be 6*o/9*3. Suppose -s*n + 66 = 10. Calculate the remainder when n is divided by 15.", "output": [ "13" ] }, { "id": "task835-c8105c2edd58422c8df2319b24e939df", "input": "Three letters picked without replacement from iie. Give prob of sequence eii.", "output": [ "1/3" ] }, { "id": "task835-2d4e4302fe874a4395658305b475380b", "input": "Let x = 63 - 123. Let k be ((-2)/(-2))/((-5)/x). Let g = -36 - -120. What is the greatest common divisor of k and g?", "output": [ "12" ] }, { "id": "task835-65d8a97c75954e5c86ae87ab813f0744", "input": "Let u = -11 + 14. Solve -u*d - 25 = 2*d for d.", "output": [ "-5" ] }, { "id": "task835-6787d2893ecc4bea81199b1f87159a53", "input": "How many millilitres are there in 67062.81l?", "output": [ "67062810" ] }, { "id": "task835-784fb862f29b4853a97e644c9e88f2f7", "input": "(12/(-18)*9/6)/1", "output": [ "-1" ] }, { "id": "task835-b10b2fc27a5444f1aad6c0e3985662c0", "input": "How many years are there in 1733952.3 months?", "output": [ "144496.025" ] }, { "id": "task835-568a8d098aeb40d8a557ed5883122277", "input": "Four letters picked without replacement from {k: 2, m: 16}. Give prob of picking 4 m.", "output": [ "91/153" ] }, { "id": "task835-6ee040e92b7d4f98b56d18ec5fff0e6d", "input": "How many microseconds are there in seventeen quarters of a millisecond?", "output": [ "4250" ] }, { "id": "task835-391546090a2040589898041ce9f208d5", "input": "Suppose -4*s = -8, -3*s - 982 = -6*u + 2*u. What is the units digit of u?", "output": [ "7" ] }, { "id": "task835-4471d410927e4bbc863b9fdf11770454", "input": "Calculate 0.31744*0.2.", "output": [ "0.063488" ] }, { "id": "task835-faa7e9ee29704ff297d47c193f2eacee", "input": "What is one fifth of a kilometer in meters?", "output": [ "200" ] }, { "id": "task835-231fe4358f774c599fc0f959d0675a7d", "input": "What is prob of sequence ijji when four letters picked without replacement from zijzzizj?", "output": [ "1/420" ] }, { "id": "task835-5b6bcc6f125c4dd585a658ce00051975", "input": "In base 8, what is 1124 + 1?", "output": [ "1125" ] }, { "id": "task835-3494774dfff74fd7919fb11f032978be", "input": "What is prob of sequence ee when two letters picked without replacement from {l: 4, e: 3, q: 2}?", "output": [ "1/12" ] }, { "id": "task835-cb8d235a0f9d4f9fbad9e0c888df46fc", "input": "Let n(i) = -11*i - 24. Let p be n(-12). Let y(x) = -4*x - 4. Let g be y(-4). What is the greatest common divisor of p and g?", "output": [ "12" ] }, { "id": "task835-14dbe4ae071a406b8d9458871de15a52", "input": "Let b(o) be the third derivative of -o**5/60 + 3*o**4/8 - o**3/2 - 3*o**2. What is the remainder when 33 is divided by b(4)?", "output": [ "16" ] }, { "id": "task835-51a00ec7711146e08c84dd2c883ee6c1", "input": "What is prob of sequence mlmg when four letters picked without replacement from gdlummtlu?", "output": [ "1/756" ] }, { "id": "task835-6cd99d02a6f149f8b7d5c8f8fb1981f9", "input": "Let g = 3 - -12. What is the tens digit of g/9*18/1?", "output": [ "3" ] }, { "id": "task835-efd07c8a7ef34f84b0f709f5e67bd827", "input": "What is 32.32246t in kilograms?", "output": [ "32322.46" ] }, { "id": "task835-60aa659e9b4241ca938e9a0e4470969e", "input": "Three letters picked without replacement from bbvyybbvybvyy. Give prob of picking 1 v and 2 b.", "output": [ "15/143" ] }, { "id": "task835-f56d9d6edfb647dcaeca5061180a2a1a", "input": "How many seconds are there in fifteen quarters of a minute?", "output": [ "225" ] }, { "id": "task835-77ac1dc6fb684e5d850d7051dcdbe8a8", "input": "Solve -2*j = -4*d, 4*j + 2*d - 6*d - 8 = 0 for j.", "output": [ "4" ] }, { "id": "task835-0925267c29204c94b25205dc3411f091", "input": "-1 divided by -339", "output": [ "1/339" ] }, { "id": "task835-638d41f92c1f4182b6b38839c3032d79", "input": "Suppose 2*i - 12 = -2. Solve 0 = -2*c - 2*n - 4, i*n = 4*n + 2 for c.", "output": [ "-4" ] }, { "id": "task835-c4e6994031594d0d8ff86487b09bd147", "input": "856 divided by 214", "output": [ "4" ] }, { "id": "task835-3690a6aea7e347a69d3ef295f6b5e4f0", "input": "Calculate prob of picking 1 j, 1 n, and 2 g when four letters picked without replacement from innvgninjnngvnn.", "output": [ "8/1365" ] }, { "id": "task835-fff555b09fd7461ab3cae41ba4f82155", "input": "How many grams are there in 15.5017 tonnes?", "output": [ "15501700" ] }, { "id": "task835-4a660a48b70d4cf1a7aa8dbb3bf52150", "input": "Let x = 59 + -51. What is the lowest common multiple of x and 22?", "output": [ "88" ] }, { "id": "task835-1b5880f008db4fb5bd5d1a9a0a07449f", "input": "What is 1476201.51 milliseconds in weeks?", "output": [ "0.002440809375" ] }, { "id": "task835-e83cec7b769949e085835e5c00d054d1", "input": "Suppose 2*j = 4*j - 36. Let z be 1/(3 + (-51)/j). Solve z = 3*f - 0*f for f.", "output": [ "2" ] }, { "id": "task835-3426c788fbf74972903e5c9b7958dfc1", "input": "What is 1 + -9 - -5 - -1?", "output": [ "-2" ] }, { "id": "task835-61a86a09e9fc4545a81b6ea2f43d3b68", "input": "What comes next: 660, 661, 662, 663?", "output": [ "664" ] }, { "id": "task835-7d7bed64f9024ebcaa0344907b0f6983", "input": "Let f = 165937/16110 - 2/8055. What is the common denominator of 79/106 and f?", "output": [ "530" ] }, { "id": "task835-81359959929e469381bdbf590e53ca4f", "input": "Let f(g) = g**2 - 2*g - 4. Let s be f(4). Suppose 119 - 31 = s*r. Let k = r - 15. What is the units digit of k?", "output": [ "7" ] }, { "id": "task835-cf0d8da591ea432789dc1ee8792bc6b6", "input": "Suppose 5*u + 2 = v + 2*u, 0 = -3*v - 4*u + 19. Suppose -5*h - 5*k = 0, 4*h - 6 = 2*k + 6. Solve 1 = 4*p + 3*r, h = v*p + 4*r + 1 for p.", "output": [ "1" ] }, { "id": "task835-af1843dd239b44f19a4186e998073dba", "input": "Suppose 5*k + 2*c - 3 = -14, -3*k + 2*c = 13. Let s(d) = -d**3 - 2*d**2 - d + 4. What is the tens digit of s(k)?", "output": [ "1" ] }, { "id": "task835-f5a03f9474be4fe79795d03bdc4ded46", "input": "2683+2", "output": [ "2685" ] }, { "id": "task835-8a61e2e1a30b453fa38ab95d130d8f65", "input": "Let b = 1858057/15 - 123976. Let u = b + 677/6. Find the common denominator of ((-2)/(-3))/(6/14) and u.", "output": [ "90" ] }, { "id": "task835-3dd0fe6b7e354422b90fa0fdb43a6cfb", "input": "Solve 18 = 2*a + 4*s, -3*a - a - 5*s = -24 for a.", "output": [ "1" ] }, { "id": "task835-fbe4b3bdeb1146f382094e7a5460fa98", "input": "What is the third root of 27434 to the nearest integer?", "output": [ "30" ] }, { "id": "task835-ff04d0f573f647b087f0d99dd356194f", "input": "Calculate the common denominator of 3/65 and ((-9)/(-21))/((-9)/(1827/(-2))).", "output": [ "130" ] }, { "id": "task835-19f1768f96aa496e887e5c3b4ff51aad", "input": "What is prob of sequence daxw when four letters picked without replacement from {x: 3, p: 3, w: 1, h: 2, d: 3, a: 1}?", "output": [ "3/5720" ] }, { "id": "task835-10cabc74d9f842ce8010bf61a6492203", "input": "Suppose 5*w = -3*t + 1 + 52, 0 = -5*t - 4*w + 71. Solve 2*k = p + 2*p - t, 0 = 2*k + 4*p - 24 for k.", "output": [ "2" ] }, { "id": "task835-9f54c02c2f924d51a83596903597388f", "input": "Let k = -22 + 46. Suppose -k + 8 = -4*f. What is the smallest common multiple of f and 3?", "output": [ "12" ] }, { "id": "task835-528f0a1e194f4e6d9bd2b774e810dcff", "input": "Calculate prob of sequence bc when two letters picked without replacement from {b: 4, c: 3}.", "output": [ "2/7" ] }, { "id": "task835-8b4f6cce752f4adba9cb1b1522d84c44", "input": "Let f(h) = h**2 - 5*h + 6. Let l be 6 - (-1 - (-5 - -2)). What is the units digit of f(l)?", "output": [ "2" ] }, { "id": "task835-b9b7dcde7a394fa094c44f9dba0fe5be", "input": "Two letters picked without replacement from {o: 3, e: 1, n: 3, r: 1, a: 2, d: 3}. Give prob of sequence de.", "output": [ "1/52" ] }, { "id": "task835-33c4268f4ff04cbcbc2d739a05eb7a08", "input": "Let l be ((-7)/(-3) + 0)*6. Let h(g) = g**3 - 2*g**2 - 3*g + 1. Let s be h(4). Calculate the highest common factor of l and s.", "output": [ "7" ] }, { "id": "task835-668195f97a794fcfa3ab12f668e39431", "input": "How many litres are there in 0.4557036 millilitres?", "output": [ "0.0004557036" ] }, { "id": "task835-d87573c86db144d288ea52044ae4c9fe", "input": "Let m(p) = 4*p - 6. Let j be m(5). Let k = j - 9. Suppose -4*u - k*b = -135, -2*u = -0*u + 4*b - 66. Calculate the greatest common divisor of u and 7.", "output": [ "7" ] }, { "id": "task835-aa7cc5fbc844428aa9e0c373b7e43d9a", "input": "What is prob of sequence ttr when three letters picked without replacement from ttttrrtt?", "output": [ "5/28" ] }, { "id": "task835-f8414386d6e54864aeac82f95ed7f6f1", "input": "What comes next: 386, 384, 382?", "output": [ "380" ] }, { "id": "task835-1296168b805a440eb14edf094478711c", "input": "Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {d: 2, o: 7, u: 2, i: 1, x: 4}.", "output": [ "1/30" ] }, { "id": "task835-9be404c5012249e39d05c8a0edb8d4ea", "input": "Two letters picked without replacement from {m: 3, f: 1, o: 1, c: 2, z: 5, i: 1}. What is prob of sequence zo?", "output": [ "5/156" ] }, { "id": "task835-3a9369f11997445b989a761afda374e9", "input": "Calculate prob of sequence pd when two letters picked without replacement from {d: 2, c: 1, m: 2, p: 2, z: 1}.", "output": [ "1/14" ] }, { "id": "task835-f44752d21ea14a7bb7aab77bc96fb782", "input": "What is next in -9, -105, -359, -849, -1653, -2849?", "output": [ "-4515" ] }, { "id": "task835-067ce26da0874f739a30dfe4bc82b6c9", "input": "Suppose -6*m = -m. Let c(d) = 2*d + 5. Let w be c(m). Solve -4*a - 20 = 5*r, -3*r - w*a = -a + 12 for r.", "output": [ "-4" ] }, { "id": "task835-b59b33e677c6471e8d02683770bfb7d6", "input": "Suppose 0*i = 3*i - 3*q + 3, 0 = -5*i - q + 19. What is the common denominator of 190/(-24) - (-1)/i and 101/14?", "output": [ "84" ] }, { "id": "task835-1c5d13444b0e42c3955542e2cad703bb", "input": "Let g = 47 - -9. Suppose 0 = -7*t + 3*t + g. Calculate the smallest common multiple of t and 16.", "output": [ "112" ] }, { "id": "task835-68e07a398f8d41b088ad2c79039d8794", "input": "What is the value of (10 - 5) + (-6 - -3 - 1)?", "output": [ "1" ] }, { "id": "task835-09c67bac77bf4d01bfafc8688ac7e3b5", "input": "How many litres are there in 0.861241 millilitres?", "output": [ "0.000861241" ] }, { "id": "task835-e4fb9aa2547845749fc9e44202c21073", "input": "Calculate prob of sequence dpim when four letters picked without replacement from {m: 3, p: 1, d: 1, a: 1, c: 2, i: 4}.", "output": [ "1/990" ] }, { "id": "task835-1c3494f63e5b4f38b061a225fb81091a", "input": "What is prob of picking 1 s and 1 a when two letters picked without replacement from {s: 1, h: 2, a: 2, y: 1, j: 2}?", "output": [ "1/14" ] }, { "id": "task835-f26134fc9e0b4ab7936ce1e83f8f32a3", "input": "Four letters picked without replacement from {u: 9, s: 9}. Give prob of picking 3 s and 1 u.", "output": [ "21/85" ] }, { "id": "task835-e725ddd238d743079c82d7f36984746d", "input": "Calculate prob of sequence az when two letters picked without replacement from {a: 2, z: 10}.", "output": [ "5/33" ] }, { "id": "task835-5a959d7231654919b1a2ef3301807be1", "input": "Let k be -3 + 6 + (1 - 1). Suppose o = -k + 6. Solve -9 = o*r, w - 2*w + 2*r + 4 = 0 for w.", "output": [ "-2" ] }, { "id": "task835-278fdc9694b24a7abcd3603db2a2310a", "input": "Calculate prob of picking 3 l and 1 h when four letters picked without replacement from hlmlhhlhhlllllllhllh.", "output": [ "308/969" ] }, { "id": "task835-f4fff656363446378dad234760f09e58", "input": "Suppose -2 = 2*f - 16. Suppose -10 - 19 = -3*x - 5*j, -f = -x - j. Calculate the remainder when x is divided by 2.", "output": [ "1" ] }, { "id": "task835-f8fdee5d5e6f4d459f5fe6b938e45715", "input": "Work out 0 * 338.1.", "output": [ "0" ] }, { "id": "task835-d4bf3279171f4fc7892e7b06c5829c8d", "input": "What is three tenths of a millimeter in micrometers?", "output": [ "300" ] }, { "id": "task835-3c9b199d66b44b51ab93d70e7fa4fe81", "input": "Suppose -4*t + 1 - 5 = 0, 3*t + 3 = 5*r. Suppose -3*a = a - 52. Solve -2*s + s - a = -4*c, -2*s + 5*c - 17 = r for s.", "output": [ "-1" ] }, { "id": "task835-aaa8cbedcd7345f5bf8dbd9d05dd8578", "input": "Suppose 1 + 1 = 2*t, 2*t = 5*s - 118. What is the greatest common divisor of 16 and s?", "output": [ "8" ] }, { "id": "task835-9d00f8f458554eacaf1f6b63c544f217", "input": "Find the common denominator of (-9)/(-24) + (-30)/(-24) and 5/4.", "output": [ "8" ] }, { "id": "task835-38ddcc25391a476886ecca5ca2242d33", "input": "How many weeks are there in 1679489.7 days?", "output": [ "239927.1" ] }, { "id": "task835-1ece9acde71742bf9debdeaee8956ecd", "input": "Suppose -a - 4 + 3 = 0. Let y be (-6 - (a + 1))*1. Let d be (-8)/y + 2/3. Solve 3 = w - d for w.", "output": [ "5" ] }, { "id": "task835-84c55c8fbc1740a38871f33af4c66f65", "input": "Let w be (-1 + 13)*3/(-6). Let b = w - -6. Let i = 2 - b. Solve -15 = 3*c + i*c for c.", "output": [ "-3" ] }, { "id": "task835-235c9c3fe18b4ebda6df6241133977ae", "input": "-7.3 * -0.5", "output": [ "3.65" ] }, { "id": "task835-1001648d2c67434f9eec556ca23ea758", "input": "Solve 3*i + 6 = 3*q, -11 = -3*q + 6*i - 2*i for q.", "output": [ "-3" ] }, { "id": "task835-2adaef6ced1d4eec88bd5e6a9d261872", "input": "In base 12, what is -1 - -432?", "output": [ "431" ] }, { "id": "task835-83e1333229aa498fbaca55c32674a0e5", "input": "Convert 7241.819 nanometers to meters.", "output": [ "0.000007241819" ] }, { "id": "task835-fa2f177fde5c4410ae5521c7a5614585", "input": "Solve 4*o - 26 + 38 = 0 for o.", "output": [ "-3" ] }, { "id": "task835-a8949b6feb014f6195bfbb9dd6f6b6e0", "input": "Solve 96*r - 13 = 91*r + 2*u, 3*u - 12 = -3*r for r.", "output": [ "3" ] }, { "id": "task835-c1be5e4cb7984fcda0cb7d451fc42db2", "input": "Let f = -1 - -3. Let p be 15/f*(-6)/(-3). Solve -2*k - k = -p for k.", "output": [ "5" ] }, { "id": "task835-b0565fa3e85e4bebbdd0e0108b3efcdd", "input": "What is 7.644864t in kilograms?", "output": [ "7644.864" ] }, { "id": "task835-d03bb423286a4ffc869372dc4a021e12", "input": "How many millilitres are there in twenty-one fifths of a litre?", "output": [ "4200" ] }, { "id": "task835-156879f0c211487abdefd8d585eb7faa", "input": "93 divided by -93", "output": [ "-1" ] }, { "id": "task835-f7bc4a31e58f42479d92b8565e7ad293", "input": "Let f be 2 + (0 - -4) + -4. Solve -f*i - 3*m = -9, -5*m + 1 = -4 for i.", "output": [ "3" ] }, { "id": "task835-a1eba61555dc48fe9639d31c04f26211", "input": "Let g(d) = d**2 - 7*d + 4. Let f be g(7). Let v = 40 - 26. Suppose -f*p + 2 = -v. What is the units digit of p?", "output": [ "4" ] }, { "id": "task835-7e32b57814f54a0280ca51b132cbb466", "input": "What is prob of sequence eq when two letters picked without replacement from eehhhqeeeeh?", "output": [ "3/55" ] }, { "id": "task835-090cf8945a6e48cdaef6fd7578843c0b", "input": "How many millilitres are there in 7/2 of a litre?", "output": [ "3500" ] }, { "id": "task835-f202863d754c46db9fd52b61a73a411b", "input": "Suppose -g - 4*g = -3*u + 29, 0 = 4*u + 3*g. Suppose -30 = -4*b - s + u*s, -s - 33 = -4*b. What is the units digit of b?", "output": [ "9" ] }, { "id": "task835-7331321aa209400f98818c4ef76de366", "input": "How many minutes are there in twenty-five halves of a day?", "output": [ "18000" ] }, { "id": "task835-445bd1846c964c40b172fdf94f5d50c1", "input": "Calculate prob of sequence vr when two letters picked without replacement from {x: 2, v: 1, r: 1, m: 6, z: 2}.", "output": [ "1/132" ] }, { "id": "task835-2e683ce4c1a645bdbbfe1638333a1b35", "input": "What is the value of (-4*1/3)/2*-6?", "output": [ "4" ] }, { "id": "task835-58bc2357085243c0b2f46e4bb936cde6", "input": "Two letters picked without replacement from {c: 2, x: 4, h: 1, j: 1, k: 1}. Give prob of picking 1 k and 1 x.", "output": [ "1/9" ] }, { "id": "task835-4bb07ca61b1e4bd08cee62a374e85d88", "input": "Solve -70*n - 222 = -107*n for n.", "output": [ "6" ] }, { "id": "task835-9c4019421c50458f91f59edd0f6ecbfd", "input": "Let p(s) be the first derivative of s**3/3 + s**2 + 3. Let v be p(-2). What is the units digit of 11/(-1)*(v + -1)?", "output": [ "1" ] }, { "id": "task835-400acee6d2064f19b7b5d62f83a93616", "input": "Calculate ((-16)/20)/(((-4)/(-5))/2).", "output": [ "-2" ] }, { "id": "task835-60f0174137e54022af01b2314faedaa8", "input": "What is 2 times 401?", "output": [ "802" ] }, { "id": "task835-d20c1e98e3b844b1a386bcd646eb7d4a", "input": "What is the square root of 1773 to the nearest integer?", "output": [ "42" ] }, { "id": "task835-e6d951dd769c4b6f8a2ef32740059ec9", "input": "Suppose 4*g - 9 - 7 = 0. Suppose 0 = -4*y + g*u + 144, 2*u = 3*y - 0*y - 111. Calculate the remainder when y is divided by 396/39 + 2/(-13).", "output": [ "9" ] }, { "id": "task835-c1a2e20ccdf14613b03c25402ecad0e0", "input": "Let u = -26 - -12. Let d = u - -24. What is the units digit of (2 - d)*2/(-4)?", "output": [ "4" ] }, { "id": "task835-288b2fbc6f2f425584fe83362cc40fe4", "input": "What is (-1)/4*176/(-4)?", "output": [ "11" ] }, { "id": "task835-ad6d8a826f5a46cfb907f16dbe0d3511", "input": "0.03 times 8.58", "output": [ "0.2574" ] }, { "id": "task835-cbfa10ccb95046e696bd9b93d42e2ffc", "input": "In base 11, what is 3 + 408?", "output": [ "410" ] }, { "id": "task835-e38af34a6d084bba99275f52832f574d", "input": "What is -1840 divided by 460?", "output": [ "-4" ] }, { "id": "task835-165f69f775e34f3689fbdd8f053f5b05", "input": "Two letters picked without replacement from {f: 2, j: 2, b: 2}. What is prob of sequence fj?", "output": [ "2/15" ] }, { "id": "task835-35d7a7a9d9b040b0a234f91d2defab14", "input": "What is one tenth of a millennium in centuries?", "output": [ "1" ] }, { "id": "task835-94fcce889475400fab1833c916f145bb", "input": "15 + (7 + -17)/1", "output": [ "5" ] }, { "id": "task835-b9449f17205d4ac8aee278fdc9a1a4fd", "input": "Solve -182 = -4*z - 194, -2*a + 2*z + 4 = 0 for a.", "output": [ "-1" ] }, { "id": "task835-025ef4c4cd2f40839aad0d25199ac7e4", "input": "What is next in 30, 29, 26, 21, 14, 5?", "output": [ "-6" ] }, { "id": "task835-39fc1f78b4af4be2b04adbe0cc8f3d9a", "input": "What is the value of ((-2)/(-98)*35)/(3/21)?", "output": [ "5" ] }, { "id": "task835-018785b4d6d34bb489725aa7a7d03361", "input": "560/(-320) - (2*-2 + 2)", "output": [ "1/4" ] }, { "id": "task835-1c92e6649cdf46bfa16e3b2eb1011e50", "input": "Suppose 11*h = 38 + 6. Suppose v + 3 = 3*o, -4*v - 5*o + 8 = -31. Solve 5*g - n - v = h*g, -4*n = -g + 15 for g.", "output": [ "3" ] }, { "id": "task835-a980f82c77ff4ab9a58367f20ea1df8a", "input": "Let x be (36/(-20))/((-3)/15). Let r(z) = z**2 - 8*z - 5. Let h be r(x). Solve -k + w + 0 - 2 = 0, -h*k - 2*w + 22 = 0 for k.", "output": [ "3" ] }, { "id": "task835-db8ffa577ac14de5ac2457d798ddfd83", "input": "Suppose -3*x = -2*y, -y - 3*x = -6*x. Let c = 2 - y. Suppose -c*u = 5*t - 1 + 9, 0 = 4*u + 3*t + 2. What is the remainder when 2 is divided by u?", "output": [ "0" ] }, { "id": "task835-f39bf3a6eb8440b1bd50acd53f52be1b", "input": "Let n = 1 - -2. Let x = -5 - -11. Let t be 3/(x*(-1)/(-44)). Solve -5*q - k = -q - t, -5*k + 25 = n*q for q.", "output": [ "5" ] }, { "id": "task835-08dbc808b0004514bcbfe6cf419f92eb", "input": "What is the difference between -0.026764 and 0.1?", "output": [ "0.126764" ] }, { "id": "task835-4b363fa9f1394356a2e344661715664c", "input": "How many decades are there in nine tenths of a century?", "output": [ "9" ] }, { "id": "task835-9b1be4ed34634cecb5adceff344d0572", "input": "Two letters picked without replacement from {r: 3, h: 2, s: 1, o: 1, x: 4, a: 1}. Give prob of sequence or.", "output": [ "1/44" ] }, { "id": "task835-99a53511c765407eb3eef0e043b8e744", "input": "-1584 divided by 48", "output": [ "-33" ] }, { "id": "task835-59b0f1080d6b4670ab21265bbc2cb115", "input": "Let f(x) = 4*x**3 + 8*x + x**3 - 6*x**3 + 4*x**2 - 5. Let p be f(5). Let h be (-15)/4*320/(-24). Calculate the greatest common divisor of h and p.", "output": [ "10" ] }, { "id": "task835-11210553e38e446699f22fba53930d8b", "input": "Let p be (-210)/(-24) - (-1)/4. Suppose 7*t - 29 = 2*t + 4*s, p = 2*t + s. Solve -5*l - h = -0*h + 14, -2*l - 24 = t*h for l.", "output": [ "-2" ] }, { "id": "task835-2994a25fae7042e18ac1981439dbad75", "input": "What is prob of picking 2 x when two letters picked without replacement from kkkkkkzxkxkkkkkkkzzk?", "output": [ "1/190" ] }, { "id": "task835-ad17209c2e1b4f01b913ab74b728f10b", "input": "Divide 4 by 6524.", "output": [ "1/1631" ] }, { "id": "task835-b9fa57235c0a4ddc85d39c26b0dd0cf8", "input": "How many days are there in 122.088 hours?", "output": [ "5.087" ] }, { "id": "task835-c9ffb5058b284599bf43fa08167d8091", "input": "How many micrograms are there in one tenth of a milligram?", "output": [ "100" ] }, { "id": "task835-575c53a69e2b4f09be8704d44992ae2e", "input": "What comes next: -59, -167, -339, -575?", "output": [ "-875" ] }, { "id": "task835-21acf54da7614b43ac6e42231fe5f8c3", "input": "How many centuries are there in 1.133379 years?", "output": [ "0.01133379" ] }, { "id": "task835-d2e1fc5b879e4a1b9a9d9fb5fb0d4d6a", "input": "How many grams are there in 5.630736 nanograms?", "output": [ "0.000000005630736" ] }, { "id": "task835-c2e228f2f3aa4e0380d329da18084798", "input": "What is 73.19755cm in millimeters?", "output": [ "731.9755" ] }, { "id": "task835-cf38a51240da4a49939db6b2cb149fd7", "input": "How many millilitres are there in seven quarters of a litre?", "output": [ "1750" ] }, { "id": "task835-eb1be69d87eb409981a46c5f634af2b7", "input": "Solve 5*i = 9*i - 3*q - 20, -4*i + 20 = -2*q for i.", "output": [ "5" ] }, { "id": "task835-26375088bf1248cea55e2de81c7415d8", "input": "Let m be (-1)/(((-20)/(-364))/(-5)). Let q be 93/7 + (-4)/14. Calculate the greatest common factor of m and q.", "output": [ "13" ] }, { "id": "task835-d92bbcc087d24a4cbd5ad2c3fcbc7245", "input": "Calculate prob of picking 2 u when two letters picked without replacement from xuumumsxs.", "output": [ "1/12" ] }, { "id": "task835-40c2e900d8924711a477d34b4184ce15", "input": "What is prob of sequence ccbc when four letters picked without replacement from nnscspb?", "output": [ "0" ] }, { "id": "task835-967ac88799484917a1967638387a3c66", "input": "What is 7/3 of a millennium in months?", "output": [ "28000" ] }, { "id": "task835-63d00aab7b2a48d2988ae78e772ba70b", "input": "What is the next term in 93, 154, 215, 276, 337, 398?", "output": [ "459" ] }, { "id": "task835-1b7e5d316fda461aad7fadb30ad3cead", "input": "Suppose 0*i = -5*i + 5*q + 15, -23 = -5*i + q. Suppose p - 17 = 5*j, j + 4 = 5*p + 3*j. Calculate the lowest common multiple of p and i.", "output": [ "10" ] }, { "id": "task835-1d8ba85d34c94fd7bb8f333b770de99a", "input": "Solve 2*o = 3*t + 3 - 14, -4*o = -3*t + 19 for t.", "output": [ "1" ] }, { "id": "task835-a1164173d4104582bef0ecae5c13dde2", "input": "How many nanometers are there in 785944.6 kilometers?", "output": [ "785944600000000000" ] }, { "id": "task835-7be74aafeadb419391dc26f7e41da25d", "input": "Calculate prob of sequence bbbb when four letters picked without replacement from bbbbbbbbb.", "output": [ "1" ] }, { "id": "task835-3a174e39677b483eb42325c01ac1838b", "input": "Calculate prob of sequence lc when two letters picked without replacement from rrrclrhm.", "output": [ "1/56" ] }, { "id": "task835-29bb57b7e4ff4bd8b8c1f5adb86623dd", "input": "How many centuries are there in 90116.68 millennia?", "output": [ "901166.8" ] }, { "id": "task835-8acce810ab2a49fbb03afc94c65bbc67", "input": "Four letters picked without replacement from dmxxeenxyxex. Give prob of sequence edey.", "output": [ "1/1980" ] }, { "id": "task835-5d6e6405f07849e08c6931de3851edcb", "input": "Let h(j) = -j**3 + j**2 + j + 80. Let n be h(0). Let f = -4 - -14. Calculate the highest common divisor of f and n.", "output": [ "10" ] }, { "id": "task835-88158953567b4085b0f98747b14105a1", "input": "Calculate the common denominator of 22/9 + (-4)/(-8) + -1 and -95/14.", "output": [ "126" ] }, { "id": "task835-c8764995289a476eae6ed728bf51b7bc", "input": "How many millilitres are there in 823.2351l?", "output": [ "823235.1" ] }, { "id": "task835-1de5ee8853a044768e7d58f78a203f66", "input": "Calculate the remainder when (465/9)/5*3 is divided by 16.", "output": [ "15" ] }, { "id": "task835-533daf8410d14fd4893d56fc6ca8fa0a", "input": "Let r = 4 - 8. Let f be (-2 - 1 - r)/1. Solve 0 = -u + 1 + f for u.", "output": [ "2" ] }, { "id": "task835-dd7788e84dd3491886ba1ddcb1d89d51", "input": "Suppose 4*t + 9 = 5*q, -2 + 0 = 2*q - 3*t. Solve 13 = 2*z + f, q*z + 0*z - f = 15 for z.", "output": [ "4" ] }, { "id": "task835-1b759958cba4458dbb5b29ad2f2dbb66", "input": "Let a(h) = -h + 56. Suppose 0 = 2*j - 31 + 11. Suppose 48 = 2*r + j. What is the remainder when a(0) is divided by r?", "output": [ "18" ] }, { "id": "task835-53970fec513c47f5a4011b4af906f146", "input": "What is prob of sequence ew when two letters picked without replacement from {g: 6, e: 3, t: 3, w: 1, b: 1}?", "output": [ "3/182" ] }, { "id": "task835-74451a853bf34509b6eee8abb2d332b1", "input": "What is prob of picking 2 u and 1 n when three letters picked without replacement from {a: 1, n: 2, f: 1, u: 1, e: 2}?", "output": [ "0" ] }, { "id": "task835-237c0a8e78234600a1555ec085b95313", "input": "Let j = -15 + 6. Calculate the lowest common multiple of 2 and (-142)/j - (-10)/45.", "output": [ "16" ] }, { "id": "task835-f217d5573eb44fc7a746c79ef3ea4d90", "input": "In base 9, what is -4 + -84?", "output": [ "-88" ] }, { "id": "task835-c79a3dd1e5594068a8d5e1b56b4a63cb", "input": "How many minutes are there in 21/2 of a hour?", "output": [ "630" ] }, { "id": "task835-78c549eb4ca3494dbbd9d3fd44cab79d", "input": "Solve 2*d - 18 = 6*k, 5*k = -0*d + d - 13 for d.", "output": [ "3" ] }, { "id": "task835-454a7ef967df4b16bfa9489642011d03", "input": "What is the square root of 3318 to the nearest integer?", "output": [ "58" ] }, { "id": "task835-f8ef62c5035f49db986337f1bb460ece", "input": "Suppose 2*y + 12 = 6*y. Suppose y = f - 15. Solve -8 = -4*w, -3*d - 4*w + f = -8*d for d.", "output": [ "-2" ] }, { "id": "task835-63c3ac15b61e41cca2eaf5fa4c8167ca", "input": "What is prob of picking 1 c, 1 e, and 1 k when three letters picked without replacement from {c: 1, i: 5, k: 3, e: 4}?", "output": [ "6/143" ] }, { "id": "task835-41ff5e794aa44314af448f611f429e00", "input": "What is the third root of 624 to the nearest integer?", "output": [ "9" ] }, { "id": "task835-28f6ced10f4a467bbe8498e5c5eda6c4", "input": "What is next in -19, -36, -53?", "output": [ "-70" ] }, { "id": "task835-82fdf1adac334ef4bf62df7c99252b02", "input": "What is the next term in -14, 84, 250, 484?", "output": [ "786" ] }, { "id": "task835-82cb6e3ce9bc4da6b5f2b020095914c0", "input": "Solve 10 = -2*p + 3*r, -3*r - 61 = p - 74 for p.", "output": [ "1" ] }, { "id": "task835-233040ca7c8f464faa838c4fdb4d68e0", "input": "Convert 71.7542 litres to millilitres.", "output": [ "71754.2" ] }, { "id": "task835-b35dcf18d6384e12b1ff02cb85c40ae5", "input": "Calculate -4 divided by 3.", "output": [ "-4/3" ] }, { "id": "task835-ad518451e5144584bef925604f139058", "input": "What is (-3)/7*7/((-63)/(-12))?", "output": [ "-4/7" ] }, { "id": "task835-a2d124eb6874497a8ff9f3377b9ad597", "input": "How many litres are there in 0.8826219 millilitres?", "output": [ "0.0008826219" ] }, { "id": "task835-46866dda055f413ab010c41581a76615", "input": "Let u be (-12)/(-36) + (-16)/(-6). Solve -i + u*i = 0 for i.", "output": [ "0" ] }, { "id": "task835-244a36c1d03e48c6a175b1751a1b2004", "input": "What is eighty-nine halves of a decade in years?", "output": [ "445" ] }, { "id": "task835-7ca224893dcf4faa8399e1e7cc49c511", "input": "How many minutes are there in sixty-four fifths of a hour?", "output": [ "768" ] }, { "id": "task835-7f64b677a022439d8de1dd0cf4b63a11", "input": "What is 866.9172 years in millennia?", "output": [ "0.8669172" ] }, { "id": "task835-12206482e003405089c7e910ef343d81", "input": "What is the next term in -119, -237, -355, -473, -591, -709?", "output": [ "-827" ] }, { "id": "task835-8dd2d27dd6424cb3b081e75999c875a0", "input": "Suppose g - 4*i + 3 = 31, -5 = i. What is the greatest common factor of 80 and g?", "output": [ "8" ] }, { "id": "task835-b4aea0e9895a4ff7b5550cb5462dcb99", "input": "What is -5 - 110911?", "output": [ "-110916" ] }, { "id": "task835-c0836782c6c54867a80f73a7fb3b3a54", "input": "Suppose -2*a = -0*a - 10. What is the remainder when 12 is divided by a?", "output": [ "2" ] }, { "id": "task835-d67200c1dc97414d81d7ac7b0085b84f", "input": "What is 98.11927 decades in months?", "output": [ "11774.3124" ] }, { "id": "task835-f0e8511b347f4a90993a5937b736a222", "input": "Suppose 36 = f + 3*f. Let s = -5 + f. Solve -3*p - 4*r = 0, -4 = -0*p - 2*p - s*r for p.", "output": [ "-4" ] }, { "id": "task835-822a6c9de3f7456687aa9c20d2479341", "input": "What is 8.300542 decades in months?", "output": [ "996.06504" ] }, { "id": "task835-159dba68c2b148d9a1f5bde5cab79ac0", "input": "How many nanograms are there in 3/8 of a microgram?", "output": [ "375" ] }, { "id": "task835-c81dc21d70124c3a92d32623cea65eb1", "input": "What is next in -39, -25, 23, 123, 293, 551, 915?", "output": [ "1403" ] }, { "id": "task835-c2be90427acd4caabb4710c95a8b45f7", "input": "How many micrometers are there in 6/5 of a centimeter?", "output": [ "12000" ] }, { "id": "task835-af3ddc2673bf4f99a5d27b8564b9fa80", "input": "What is next in -121, -124, -129, -136?", "output": [ "-145" ] }, { "id": "task835-9054babedfc74d62a619bc2fd3f72c06", "input": "What is prob of sequence ys when two letters picked without replacement from sbysryrbbbsyssrr?", "output": [ "1/16" ] }, { "id": "task835-d7b00f016b9e4634b28b61266af51038", "input": "What is 33.5301561 minutes in weeks?", "output": [ "0.003326404375" ] }, { "id": "task835-5804a6e36db149a4a2a7280b467b461b", "input": "What is 0.9436712m in nanometers?", "output": [ "943671200" ] }, { "id": "task835-a25c7511eb8f424d977c442b95f6f897", "input": "Let u be -3*(-6)/(-4)*2. Let w(d) = -d**2 - 9*d + 2. Let f be w(u). Solve 3*x - f*y = -0*y + 6, y = x - 1 for x.", "output": [ "4" ] }, { "id": "task835-1b91fbf50fb14bb18fd1c8ce2e5914f9", "input": "Let q(x) = -x**3 + 5*x**2 + 5*x - 5. Let y be q(5). Let p = y + -13. Let b(u) = 7*u. Find the common denominator of 50/3 and b(p).", "output": [ "3" ] }, { "id": "task835-69df73851a944a6abcc22f2a4b33bbe2", "input": "What is 8721.276 weeks in minutes?", "output": [ "87910462.08" ] }, { "id": "task835-703e10a0cb624f308772b50417903444", "input": "Calculate -5 + -3 + (0 - -7) - -2.", "output": [ "1" ] }, { "id": "task835-c8dc6c6d78d445f19d4ed728c706b32b", "input": "What is twenty-nine halves of a hour in seconds?", "output": [ "52200" ] }, { "id": "task835-831365fca42e4099a8523a2276028247", "input": "What is the next term in 816, 1642, 2468, 3294, 4120?", "output": [ "4946" ] }, { "id": "task835-e4b0d0ba84624a5fb9883c40d6ef81e7", "input": "-10 + (21 - -8) + -15", "output": [ "4" ] }, { "id": "task835-38a5a2d450b64bb886c198bbe242f2ee", "input": "What is next in 17, 111, 227, 377, 573, 827, 1151, 1557?", "output": [ "2057" ] }, { "id": "task835-7986d0f2702441d0a278a36a3e9864ca", "input": "Suppose 5 = -p, -4*z - 15 = 5*p + 6. Let l be 8 + 9/9*(-8 + 3). Solve -m = 2*j + z, -13 = l*j - 2*m + 6 for j.", "output": [ "-3" ] }, { "id": "task835-576f49f5932f40bbab6ce7fbfe959148", "input": "How many kilometers are there in 0.1291107um?", "output": [ "0.0000000001291107" ] }, { "id": "task835-1abb0b6dfd5849018129b4c1e33de15b", "input": "What is 6085.387ml in litres?", "output": [ "6.085387" ] }, { "id": "task835-95960f86341f42ab8d903e4d41cd8f5e", "input": "Divide -4 by 651.", "output": [ "-4/651" ] }, { "id": "task835-7bedc5b24a254340a3f1e6b30973f6db", "input": "What is the value of (4 - 1) + -1 - -3 - 3?", "output": [ "2" ] }, { "id": "task835-f11981524c4a41b19334314472b8faf0", "input": "What is the value of (30/(-8))/(114/(-76))?", "output": [ "5/2" ] }, { "id": "task835-1e5e72be88474efbacd2ad17f0e0873c", "input": "How many millimeters are there in thirty-one fifths of a meter?", "output": [ "6200" ] }, { "id": "task835-4314aa52275a4e6fb4581078a19555d6", "input": "Solve 4*i - 28 = 18*i for i.", "output": [ "-2" ] }, { "id": "task835-52441ce308db4a5a8bd40e9c0668a448", "input": "Solve 3*l - 2*n + 4*n = 1, -n = -l + 2 for l.", "output": [ "1" ] }, { "id": "task835-12b1f6730e8249da824efe1b26729156", "input": "What is prob of sequence yyz when three letters picked without replacement from {y: 13, z: 1, a: 3, q: 2}?", "output": [ "26/969" ] }, { "id": "task835-625aee396e4b4b31a57043a1d5b2e646", "input": "Let y(s) = -2*s. Let c be y(-2). Solve c*q + 6 = -10 for q.", "output": [ "-4" ] }, { "id": "task835-e771c62ecd244196aef18bf16f501435", "input": "What is ((100/45)/5)/(-2)?", "output": [ "-2/9" ] }, { "id": "task835-52e16aaab7454f65914b08d926568c2a", "input": "What comes next: 257, 245, 233, 221, 209, 197?", "output": [ "185" ] }, { "id": "task835-b1ac55124a9840bb9ec14127427a140c", "input": "What is the next term in 477, 954, 1431, 1908?", "output": [ "2385" ] }, { "id": "task835-793c0e22c58a429b852ae105a6d67b83", "input": "What is the tens digit of -2 - -15 - (-36)/12?", "output": [ "1" ] }, { "id": "task835-57f65a8564164bafb4d93fd02fdc4772", "input": "What is 5043 to the power of 1/2, to the nearest integer?", "output": [ "71" ] }, { "id": "task835-6ed9405683894537bee68e4a4a3085d7", "input": "What is one fifth of a kilogram in grams?", "output": [ "200" ] }, { "id": "task835-868c356e312041f3a025abd198462166", "input": "What is the next term in 714, 1428, 2142?", "output": [ "2856" ] }, { "id": "task835-44aef96e265c4936899fda65c6048094", "input": "How many millilitres are there in 151060.2 litres?", "output": [ "151060200" ] }, { "id": "task835-c4ac3a43f31a48c6bddfad7d8984fc68", "input": "What is 6/5 of a milligram in micrograms?", "output": [ "1200" ] }, { "id": "task835-bbc08183c1a6455dbccf08e7ca253e2a", "input": "Divide -75 by -5.", "output": [ "15" ] }, { "id": "task835-314eb14d382f4f2caf3f2bd0f55c6df4", "input": "Suppose -g - 57 = -63. Solve f - 10 = g*f for f.", "output": [ "-2" ] }, { "id": "task835-417327a9b0c24873bbf1f498c08e5010", "input": "Let l(h) = -h**3 - 7*h**2 + 8*h + 12. Let w(k) = k**2 - k - 7. What is the remainder when w(-6) is divided by l(-8)?", "output": [ "11" ] }, { "id": "task835-234327ff45b746e3b824d3ab3b4c2f95", "input": "Four letters picked without replacement from ufdatpt. Give prob of sequence tdut.", "output": [ "1/420" ] }, { "id": "task835-96ed20b0c5e4479d85c693272553cdc2", "input": "Let y(c) = -c**3 + c + 3. Let u be y(0). Solve -q = 1 - u for q.", "output": [ "2" ] }, { "id": "task835-419275a433fa4bcbb5c8cbba9f35d74d", "input": "Work out 162 * 0.26.", "output": [ "42.12" ] }, { "id": "task835-7b5c0dada3a447148056627ee94ac1a7", "input": "What is -100.1 less than -5?", "output": [ "95.1" ] }, { "id": "task835-365a212493974046a5966dd3be2e2c7c", "input": "Four letters picked without replacement from llglllllnnlnle. Give prob of sequence lnlg.", "output": [ "9/1001" ] }, { "id": "task835-285251eacd594140829873c3a7550670", "input": "What is the product of 4907 and 0.3?", "output": [ "1472.1" ] }, { "id": "task835-372ff96ca2964f749fe703af379c5e93", "input": "Let q be 9*(-2 + (-14)/(-6)). Suppose 0*a - 64 = -3*y - 2*a, 0 = q*y - 2*a - 68. What is the lowest common multiple of 22 and y?", "output": [ "22" ] }, { "id": "task835-7ff098d0f8d94ec8936d844d5b21e1e2", "input": "Three letters picked without replacement from alwllswjfsallls. What is prob of picking 1 l, 1 a, and 1 w?", "output": [ "24/455" ] }, { "id": "task835-e3ffad180ee5494ba940b2ac6c2f44d3", "input": "Calculate prob of sequence iaia when four letters picked without replacement from {g: 2, u: 4, k: 3, v: 2, a: 3, i: 2}.", "output": [ "1/3640" ] }, { "id": "task835-63234f8518a643dfbf8c2e1fb465876c", "input": "What is 59174 to the power of 1/2, to the nearest integer?", "output": [ "243" ] }, { "id": "task835-553d25715f714da68bda63a6f9e5a1b1", "input": "What is the third root of 2398 to the nearest integer?", "output": [ "13" ] }, { "id": "task835-8ba79c8af8c2495b9e5d8b037172b580", "input": "What is the value of 2 + -3 + 3 + (-18 - -17)?", "output": [ "1" ] }, { "id": "task835-a3600e117edd476083b35cfd2110d113", "input": "What is 23868.44 meters in nanometers?", "output": [ "23868440000000" ] }, { "id": "task835-1583cf59e5bd46d098119c67f7b14599", "input": "How many milligrams are there in 2851.22 tonnes?", "output": [ "2851220000000" ] }, { "id": "task835-45635ea217cf4ebb8f93d30211645938", "input": "Evaluate (21/28)/(21/14*2).", "output": [ "1/4" ] }, { "id": "task835-8bc91bbec8054d6ab8ecbabef5ea3386", "input": "What comes next: 53, 43, 37, 35, 37, 43?", "output": [ "53" ] }, { "id": "task835-215362d77f2d4186b88ab5bb482b0cc0", "input": "What is 0.9633691 nanograms in micrograms?", "output": [ "0.0009633691" ] }, { "id": "task835-a05c2a1d343444f99c696ca6e962e8a1", "input": "What is 2870.1 litres in millilitres?", "output": [ "2870100" ] }, { "id": "task835-374a1c91cf1a476abc54078fc0873bc5", "input": "Convert 0.6599167 litres to millilitres.", "output": [ "659.9167" ] }, { "id": "task835-180f90dcb0bf40ebab9beb7548a051f5", "input": "Four letters picked without replacement from {i: 8, c: 5, n: 5}. What is prob of picking 4 c?", "output": [ "1/612" ] }, { "id": "task835-cb1c3afd0ef347cfb0e8a748e5798168", "input": "Let z be ((-12)/9)/((-1)/3). Suppose -z*o - 10 = -9*o. Solve o - 5 = d for d.", "output": [ "-3" ] }, { "id": "task835-294beeaa6ba94fb9b07078cde3827b0a", "input": "Let d = 5 - 3. Let z be (1 + 0)*(5 - 2). Suppose -z*l = d*l. Solve -x + 0 + 1 = l for x.", "output": [ "1" ] }, { "id": "task835-3bbac06d1e604b2b9384d3902700fa27", "input": "Divide -352 by -4.", "output": [ "88" ] }, { "id": "task835-cbaa632592f64857beff014ce0633919", "input": "Let m(x) = -10*x**3. Suppose 2*l - 4 = 2*y + 2, l - 2 = 0. What is the tens digit of m(y)?", "output": [ "1" ] }, { "id": "task835-255db185c4114a719e0b0f82acc95a56", "input": "Let a = 15 - 8. Let d = a - -10. Suppose -5*m + d = 2. What is the units digit of m?", "output": [ "3" ] }, { "id": "task835-39a8b1fb0ba44f99b80d011fe7a9601f", "input": "What is the value of (-19 - -12) + (-6 - -5) - -15?", "output": [ "7" ] }, { "id": "task835-4f73088100d8429baedef91921eb5a68", "input": "What is 81/4 of a kilometer in meters?", "output": [ "20250" ] }, { "id": "task835-a7df55eaec5245a98259d1d4da621a38", "input": "Calculate (-7)/(-2)*2/7.", "output": [ "1" ] }, { "id": "task835-f192ff5f27c94a7d83b03005173bc980", "input": "What is 6321.94 years in centuries?", "output": [ "63.2194" ] }, { "id": "task835-e367aefbd4974ed9a3f731ccb5c99887", "input": "What is 0.7 take away 271816?", "output": [ "-271815.3" ] }, { "id": "task835-a995ae5af7334b12b3d8e0749cb96bb3", "input": "Two letters picked without replacement from zmczmzizvavc. What is prob of picking 1 i and 1 z?", "output": [ "2/33" ] }, { "id": "task835-93b7786476ec448e94e51ae6f4c90f3b", "input": "Divide -4 by -4274.", "output": [ "2/2137" ] }, { "id": "task835-16b23df486ea4acc9d78bd0cfc539c09", "input": "Let v = 19 + -34. Let z = -2 - v. Suppose -l - 2 + z = 0. What is the units digit of l?", "output": [ "1" ] }, { "id": "task835-c67a135d6e2d4e84a53e0898f9bb3134", "input": "Two letters picked without replacement from {u: 3, o: 7, h: 4}. What is prob of picking 2 h?", "output": [ "6/91" ] }, { "id": "task835-89c4fc3607b8474681e4d54d52cb45d2", "input": "Let y be 0*((-9)/2 + 5). Solve -2*s - 4*h + 3 - 13 = y, 5*s - 2*h = 23 for s.", "output": [ "3" ] }, { "id": "task835-e8fcdc1a8f7a41a5bb09baafb6683126", "input": "Calculate 1265 divided by -3.", "output": [ "-1265/3" ] }, { "id": "task835-058e5a1e8f074f6bb2b77c7da7746dc9", "input": "Suppose -9*w = -107 - 415. Suppose -2*r - 35 = -155. Suppose -5*j = -2*j - r. Calculate the remainder when w is divided by j.", "output": [ "18" ] }, { "id": "task835-fb4823395ddf4565aa5871a7249cafb0", "input": "Four letters picked without replacement from cuuectztuwwc. Give prob of picking 1 c, 2 w, and 1 u.", "output": [ "1/55" ] }, { "id": "task835-47da188a318446d9869618fcee68480c", "input": "What is prob of picking 3 y when three letters picked without replacement from yzzyzyy?", "output": [ "4/35" ] }, { "id": "task835-21400b1e08dd4cc8a7f57118fcc171db", "input": "Let v = 114 - 47. What is the remainder when v is divided by 35?", "output": [ "32" ] }, { "id": "task835-bad66b5229714bc7a8e25f7f8bf56fb7", "input": "Calculate (-66)/(-7) - ((-460)/70 + 7).", "output": [ "9" ] }, { "id": "task835-f24578988f7d44ac9b01c01d252e5569", "input": "What is 60584.69 years in millennia?", "output": [ "60.58469" ] }, { "id": "task835-5df06925a6a049ef90a24464ee301710", "input": "Calculate -2 divided by 59.", "output": [ "-2/59" ] }, { "id": "task835-f51c2912aa0a450e942a7db81f2b98a0", "input": "Suppose 4*z = 4*w - 4, -2*w - w = 3*z - 9. Let c(u) = 59*u**3 + 2*u**2 - u. Let p be c(1). Suppose 5*l - l - p = 0. Solve l = m + w*m for m.", "output": [ "5" ] }, { "id": "task835-0a1ff08bfdad4454a7b47970ab0e82d5", "input": "What is 149.7984 years in centuries?", "output": [ "1.497984" ] }, { "id": "task835-792e92b589c04af495347220a80df3b0", "input": "Suppose 1020 - 19 = 7*w. What is the units digit of w?", "output": [ "3" ] }, { "id": "task835-013fdf68640146e9808a69c5e9053490", "input": "-2.309 * -0.1", "output": [ "0.2309" ] }, { "id": "task835-322f17774e4c4770bfd1d500631198e3", "input": "Find the common denominator of 1349/(-190) + 4/(-10) and 75/2.", "output": [ "2" ] }, { "id": "task835-993680d30785411d9ab14f9e37009195", "input": "Calculate 70/210 + 4/6.", "output": [ "1" ] }, { "id": "task835-013ea27e0a7b4d228fe345eb4d5ba730", "input": "Three letters picked without replacement from {p: 9, k: 2, j: 5}. Give prob of picking 1 p and 2 k.", "output": [ "9/560" ] }, { "id": "task835-728f15c7bdea4f2ba780a294b09bc21a", "input": "Suppose 26 = -b + 4*j, -2*b + 3*j - 42 = b. Let q(h) = -h**2 - 11*h + 4. What is the units digit of q(b)?", "output": [ "4" ] }, { "id": "task835-2024043b957546f495a65d8867d0dfb5", "input": "Solve 0 = -34*s + 26*s for s.", "output": [ "0" ] }, { "id": "task835-fa53c4edff23475e8f8bd8b93a97ae9a", "input": "Solve -4*w + 16 = 4*l, 8*w - 4*l = 3*w - 25 for w.", "output": [ "-1" ] }, { "id": "task835-5cc0596caa8d4b08b7c9fcdde85fdb72", "input": "Four letters picked without replacement from {s: 9, b: 9}. Give prob of sequence bsss.", "output": [ "21/340" ] }, { "id": "task835-beeb213980b24f4b831f6defc85aa016", "input": "Suppose -5*g = 2*k - 3*k - 125, 4*g + 451 = -3*k. Let b = -2/8721 + 57173/8721. Find the common denominator of 27/(-36) + k/(-28) and b.", "output": [ "63" ] }, { "id": "task835-e35bceec17c04023bf7ff4cde4b8eee4", "input": "What is five quarters of a micrometer in nanometers?", "output": [ "1250" ] }, { "id": "task835-d325c2ebce894fbdbd560bb6fac789a9", "input": "Suppose 32975 = -0*r + 5*r. Suppose 5*k - i = 3*i - 6596, 5*i - r = 5*k. Let o = k + 7877/6. Find the common denominator of o and -39/10.", "output": [ "30" ] }, { "id": "task835-eeda9b9b6ac642c79b397a6fb6f5dad6", "input": "What is the next term in 602, 1214, 1826?", "output": [ "2438" ] }, { "id": "task835-43cd303b2c8a4fb49f9d3fba9aad20e2", "input": "In base 14, what is -3 - 52?", "output": [ "-55" ] }, { "id": "task835-3fe1f97ff7cf440088521af284affe90", "input": "What is prob of picking 3 h when three letters picked without replacement from {h: 8, c: 7, m: 2, r: 2}?", "output": [ "56/969" ] }, { "id": "task835-5dacf3ce4e2c4a04a89aed6b4b88859e", "input": "Let f = -43 - -52. Calculate the remainder when (9/6)/(1/22) is divided by f.", "output": [ "6" ] }, { "id": "task835-f02e8c33bd2a459f89ae9582037c635c", "input": "How many millennia are there in 243937.17 months?", "output": [ "20.3280975" ] }, { "id": "task835-eea4b3b29d464cf7a69e37a1c91a3c30", "input": "Two letters picked without replacement from {j: 1, v: 2, o: 2, k: 2, s: 1}. What is prob of sequence os?", "output": [ "1/28" ] }, { "id": "task835-f4d25c6e73a8478bb8d7c5d71ead5c27", "input": "What is 0.5 times -38.92?", "output": [ "-19.46" ] }, { "id": "task835-9ace365e179a4cda8b5e665ae7ee846a", "input": "Calculate prob of sequence wzzg when four letters picked without replacement from zgwgpgz.", "output": [ "1/140" ] }, { "id": "task835-e3539ad148554a4bba6bc3bef3577e34", "input": "Solve -8*i - 218 = -242 for i.", "output": [ "3" ] }, { "id": "task835-779feb36dd6b44469ee733d41cc9d1b6", "input": "Let j = 265 + -148. Let t = j + -45. What is the remainder when t is divided by 25?", "output": [ "22" ] }, { "id": "task835-5bd34616f4c34736a9a741adfb14b426", "input": "Evaluate (1/2)/(17/170).", "output": [ "5" ] }, { "id": "task835-42896fb38f4a41639dc033c6bf662256", "input": "Let v = 4 + -2. Suppose v*n + 10 = -0*n, 20 = -5*o - n. Find the common denominator of 18 and 22/8 - o/(-12).", "output": [ "2" ] }, { "id": "task835-938fe07035654d54838f7d8ee48cb478", "input": "Calculate -10 - (-7 + 12 + -12).", "output": [ "-3" ] }, { "id": "task835-8f5c00824433434bbd739acaa835fdb7", "input": "Three letters picked without replacement from {a: 1, s: 2, r: 2, q: 9}. Give prob of sequence arr.", "output": [ "1/1092" ] }, { "id": "task835-8feffd73afa1489ca89cd6307fbbc828", "input": "Solve 6*q = -181 + 139 for q.", "output": [ "-7" ] }, { "id": "task835-e072d9f4722e425496664479715bc225", "input": "Let n(t) = t**3 + 10*t**2 - 15*t - 18. What is the units digit of n(-11)?", "output": [ "6" ] }, { "id": "task835-e4913eaf826e434d8cc7ebdea121a7d1", "input": "Suppose 3*y = -v + 6, -v + 4 = v - 2*y. Suppose 0 = -3*a - 2*c + 1, -4*c + 1 = -3*a - 8*c. Suppose h = 3 + a. Calculate the remainder when h is divided by v.", "output": [ "1" ] }, { "id": "task835-e8427aea1aee4eb1a76da3c498f359b0", "input": "Two letters picked without replacement from zzfxzjxjzxzj. What is prob of picking 1 j and 1 x?", "output": [ "3/22" ] }, { "id": "task835-7f07006219e646a9b9cdbdfe38190f60", "input": "Suppose -2*q + 63 + 68 = -5*l, -q + 4*l = -73. Let g = 93 - q. Calculate the remainder when (1 + g - 2) + 1 is divided by 21.", "output": [ "19" ] }, { "id": "task835-4adb6d5a783944a9819237b3ba60eeec", "input": "((-2)/(-12))/(4/(96/18))", "output": [ "2/9" ] }, { "id": "task835-f06e62eef8e9441f98308693a57482a2", "input": "Let d be 354/(-10) + (-12)/(-30). Let o = 1105 - 2151/2. Calculate the common denominator of 3 - 3/(6/d) and o.", "output": [ "2" ] }, { "id": "task835-e9806cd36ce0461cbc955e3b9d29a307", "input": "What is the least common multiple of 7 and (-13)/((-39)/9)*(0 - -2)?", "output": [ "42" ] }, { "id": "task835-0eecd29d9b794df694a38526d08e19dc", "input": "Two letters picked without replacement from vvdv. Give prob of sequence vv.", "output": [ "1/2" ] }, { "id": "task835-fbc999795448449eaf1a4ede37071a5a", "input": "Total of 1809 and 0.3.", "output": [ "1809.3" ] }, { "id": "task835-174f4e6e12ad4bb1af1d781368d0369b", "input": "Suppose -3*u + 4*u - 5 = 0. Let n be 1*u*(-8)/(-20). Solve n*o + 3 = -7 for o.", "output": [ "-5" ] }, { "id": "task835-c1c13c0ecb01494ca26e5dec2fb09214", "input": "What comes next: 354, 1412, 3176, 5646, 8822, 12704?", "output": [ "17292" ] }, { "id": "task835-b0716364e04a47de976fd24637675d7e", "input": "How many litres are there in 0.583058 millilitres?", "output": [ "0.000583058" ] }, { "id": "task835-b83c6f6e19b64a649748114f7af5268c", "input": "Product of 0.3 and -301.", "output": [ "-90.3" ] }, { "id": "task835-caf611f3424a42a7a8e9fe1ca77839b0", "input": "Calculate prob of sequence ee when two letters picked without replacement from {p: 5, e: 3}.", "output": [ "3/28" ] }, { "id": "task835-b7a73ea46d744dd5b767b97d25c531fd", "input": "Two letters picked without replacement from {t: 1, a: 1, g: 2, p: 1}. Give prob of sequence at.", "output": [ "1/20" ] }, { "id": "task835-239848cb39ac4577b11328f5ae5a2165", "input": "Solve 60*k + 198 = 27*k for k.", "output": [ "-6" ] }, { "id": "task835-67164a43ee464604b59447b2597a068d", "input": "Multiply -1 and -5067.", "output": [ "5067" ] }, { "id": "task835-91945949451944aeace7c81e3ccc2af1", "input": "Four letters picked without replacement from wkakwuuwuuukwwuuwuu. Give prob of picking 3 w and 1 a.", "output": [ "5/969" ] }, { "id": "task835-f59fdcbc1a534a62b19a887c1dab0226", "input": "Four letters picked without replacement from aahgh. Give prob of sequence agga.", "output": [ "0" ] }, { "id": "task835-b65eb28e6a044f9683073e952a8c695a", "input": "In base 13, what is -13 + 2?", "output": [ "-11" ] }, { "id": "task835-f074becea5d146baad0f77a1642030ec", "input": "Four letters picked without replacement from {f: 8, n: 2, z: 2}. What is prob of sequence zzzz?", "output": [ "0" ] }, { "id": "task835-b5763abbda5b40ce906b76d4dad3f8df", "input": "Solve -4*v + 224 = -32*v for v.", "output": [ "-8" ] }, { "id": "task835-6e6341f08cee484881a49dc69569d334", "input": "Let i be 4/(((-36)/21)/(-6)). Calculate the greatest common divisor of i and 98.", "output": [ "14" ] }, { "id": "task835-d2a3b75c85144e2f8cd43f12b94b468d", "input": "Three letters picked without replacement from {v: 4, n: 7, d: 2, r: 3, w: 1}. Give prob of sequence vvr.", "output": [ "3/340" ] }, { "id": "task835-78d722f9934b456f8a6401399110c2b5", "input": "What is -0.2966 plus -73?", "output": [ "-73.2966" ] }, { "id": "task835-d0351e654558452489f437788fa5bd90", "input": "Two letters picked without replacement from gncnrmsrnnrnrns. What is prob of sequence rc?", "output": [ "2/105" ] }, { "id": "task835-118c42b5b65f4a3295af65e83c68de4f", "input": "Suppose -5*c + 251 = -2*g, 2*g - 257 = -5*c + 6*g. Suppose 5*f - c = -i, -2*i = -5*f + 2*i + 29. Let k = f + -7. What is the units digit of k?", "output": [ "2" ] }, { "id": "task835-f04d8bb90f254764a7d33ec453367283", "input": "What is 1/20 of a kilogram in milligrams?", "output": [ "50000" ] }, { "id": "task835-ab5248610215434a8f8bd053971a6a60", "input": "Calculate 4714 divided by 6.", "output": [ "2357/3" ] }, { "id": "task835-28b6505451b1443c9095bab4f75ab3cc", "input": "In base 14, what is -4ac2 - -3?", "output": [ "-4abd" ] }, { "id": "task835-a2366d67880c498b89d7f3384690f2b0", "input": "Let i(n) = n**3 - 8*n**2 + 7*n - 1. Let b be i(7). What is the units digit of -1 - (2 - -8)*b?", "output": [ "9" ] }, { "id": "task835-71e8f17dc098415cb72aacad5f206315", "input": "Calculate prob of picking 3 h when three letters picked without replacement from huhuhhuhhhucu.", "output": [ "35/286" ] }, { "id": "task835-0d2402c15bd747faa9f258844ce3e59c", "input": "Solve 0 = 4*b + b + 15 for b.", "output": [ "-3" ] }, { "id": "task835-650f576b5752419ba643bc2f82a3ecf2", "input": "Convert 1169.156 centimeters to millimeters.", "output": [ "11691.56" ] }, { "id": "task835-5490964969524ba2b3edb27f831bf157", "input": "Solve 0 = 3*f - 2*x - 11, 0 = 2*x - 7*x - 5 for f.", "output": [ "3" ] }, { "id": "task835-a227560620e24701be0b58ddd228d403", "input": "Suppose 0*x - 7*x = -42. What is the lowest common multiple of x and 3?", "output": [ "6" ] }, { "id": "task835-116e6c39ed3f46c7af3d4ed70a25564a", "input": "In base 9, what is 57046 + -3?", "output": [ "57043" ] }, { "id": "task835-a7210eae332f46de912a158609f3ef85", "input": "Two letters picked without replacement from {m: 4, w: 2, a: 5}. Give prob of picking 1 a and 1 w.", "output": [ "2/11" ] }, { "id": "task835-d5cf0693e8004e7882bbf55646283a80", "input": "Solve 3*l - 4*y - 18 + 4 = 0, -4*l = 2*y + 18 for l.", "output": [ "-2" ] }, { "id": "task835-c2b2eff3f80a4fda8baea1a5cfac397b", "input": "Calculate prob of sequence ggt when three letters picked without replacement from {t: 12, g: 6}.", "output": [ "5/68" ] }, { "id": "task835-6ba62889691f4677978335a9811fff80", "input": "Solve 4*b + 18 + 7 = -5*n, 0 = -4*b for n.", "output": [ "-5" ] }, { "id": "task835-92b35d1f28f24683a63a4920f1ce5033", "input": "Calculate prob of picking 2 j and 1 c when three letters picked without replacement from {c: 4, x: 4, j: 8, q: 4}.", "output": [ "28/285" ] }, { "id": "task835-49cac23f8adb4c6997c9be80f53d54c8", "input": "Calculate -0.3*-1.58.", "output": [ "0.474" ] }, { "id": "task835-6284a7c332434cb6b4fffe5db5e060b3", "input": "Suppose 2 = -s + 13. Calculate the remainder when s is divided by 4.", "output": [ "3" ] }, { "id": "task835-c99e169513e84ddd8ddbbaa5a64640f5", "input": "Calculate 97 divided by 8.", "output": [ "97/8" ] }, { "id": "task835-ba988847991049dcb9141130dd4396a9", "input": "How many seconds are there in 7.470708 microseconds?", "output": [ "0.000007470708" ] }, { "id": "task835-76ef4c8972434662aad2b119b51c8ec9", "input": "What is the tens digit of -8*(1 - 110/4)?", "output": [ "1" ] }, { "id": "task835-609ee8cf198944ccbab4dac007b1c1a2", "input": "Convert 7.3754496 minutes to days.", "output": [ "0.00512184" ] }, { "id": "task835-2620a8521be84880b4550019e3e339c7", "input": "What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 4, u: 5, b: 2, e: 2}?", "output": [ "4/39" ] }, { "id": "task835-e02cfc39c00547be999c583808b6c085", "input": "In base 6, what is 3 - -430?", "output": [ "433" ] }, { "id": "task835-3f271da4e2db4b7fa9f2f121948fdd8b", "input": "Let r(s) = s + 6. Let i be r(4). Suppose x = -8 + i. What is the highest common divisor of x and 4?", "output": [ "2" ] }, { "id": "task835-f2dba42bd73f4733bc454be5aa5eb843", "input": "Suppose 56 = 113*r - 109*r. Let z = 22 - 10. Calculate the smallest common multiple of z and r.", "output": [ "84" ] }, { "id": "task835-4b758138824b40bc9c773b841f33b91d", "input": "Suppose -5*z + 6 = -2*z. Suppose -5*f = 5*t - 33 - 32, 2*f - 5*t = -z. Suppose 7 = u - f. Calculate the least common multiple of 16 and u.", "output": [ "16" ] }, { "id": "task835-f328cbc987ff4dc599c4f4eff3fc6439", "input": "How many millilitres are there in fifty-four fifths of a litre?", "output": [ "10800" ] }, { "id": "task835-15964b48d91e47fe93583d01b5a744cb", "input": "What is ((-104)/(-182))/((-12)/14)?", "output": [ "-2/3" ] }, { "id": "task835-141f06d42c654855aa059fb78093587a", "input": "Three letters picked without replacement from idiaiid. Give prob of sequence ddi.", "output": [ "4/105" ] }, { "id": "task835-d84956f51efd4746ab14ba72fbdc83d1", "input": "What is prob of sequence aa when two letters picked without replacement from kaaaaakaa?", "output": [ "7/12" ] }, { "id": "task835-0cbb2c03b7f74d75b1b280a13f7be62a", "input": "Solve 4*f - 35 + 0 = -3*y, 4*y - 30 = -2*f for f.", "output": [ "5" ] }, { "id": "task835-df6960cba27f4b33bd04ec21938946ce", "input": "2+-253", "output": [ "-251" ] }, { "id": "task835-3d85029004ba440d980e42400ee7c241", "input": "What is 3/40 of a litre in millilitres?", "output": [ "75" ] }, { "id": "task835-b703f2207a0e4cceb93f891674186a78", "input": "Calculate prob of sequence igml when four letters picked without replacement from {g: 2, n: 1, l: 2, m: 1, i: 2}.", "output": [ "1/210" ] }, { "id": "task835-4c7342af12984d6f8ba5f58148b8f249", "input": "Solve 288*w - 298*w = -70 for w.", "output": [ "7" ] }, { "id": "task835-c4c4832b73054f54a5459ad799016adf", "input": "Suppose 5*r - 4 - 7 = -3*k, -4*r + 3*k + 25 = 0. Suppose -r = 3*f - 7*f. What is the units digit of f?", "output": [ "1" ] }, { "id": "task835-5e1563d12ce446c2905e629dbd08d9d1", "input": "Suppose -9*j = -11*j + 78. What is the tens digit of j?", "output": [ "3" ] }, { "id": "task835-634f645f0d1943b081d3b773cb43bb0a", "input": "What is 3638 to the power of 1/2, to the nearest integer?", "output": [ "60" ] }, { "id": "task835-9df15924c0d54ad5b3ae8931a349289f", "input": "Let b(o) = -o + 7. Let s be b(5). Suppose 0 = 2*i + s*i - 32. Let x = i + -5. Solve -2*h = x*p + 16, -6 = 3*p + 4*h - 7*h for p.", "output": [ "-4" ] }, { "id": "task835-7d8e0d66df074d579dc08db2df51f8cb", "input": "Let u = -3 - -5. Suppose 3*p - 8 = -s, 6 = -2*p + 3*s + u*s. Solve p*v + 2 = -0 for v.", "output": [ "-1" ] }, { "id": "task835-16b8b9d5e04241868e1449419f64292a", "input": "How many months are there in 43/3 of a decade?", "output": [ "1720" ] }, { "id": "task835-262abcf181534db5894bf1f954531441", "input": "Let y = 21 - 19. Solve -y*v + 5*v = 0 for v.", "output": [ "0" ] }, { "id": "task835-d0d9b2113b04481a985e058f24c5c9f9", "input": "What is three fifths of a centimeter in micrometers?", "output": [ "6000" ] }, { "id": "task835-6fa70dcda1294aa9af0dd45136c9f57d", "input": "What is prob of sequence tww when three letters picked without replacement from wtwfttaltatlttttlla?", "output": [ "1/323" ] }, { "id": "task835-f36c5466b0b84ee1bb4e6b2a38152126", "input": "What is the cube root of 2748 to the nearest integer?", "output": [ "14" ] }, { "id": "task835-111c04f977cc41a49f5a829517495ad6", "input": "Suppose 71 + 29 = 2*t. Suppose -4*u + t = u. What is the least common multiple of u and 8?", "output": [ "40" ] }, { "id": "task835-93885aafa6394684a5ddf4e379f1c668", "input": "Suppose -3 = -2*y + 5. Suppose -4*v = -2*g - 8 - 10, 0 = -g + v - y. What is the units digit of g?", "output": [ "1" ] }, { "id": "task835-56ad9ebb79254f11bdbeacbcf12043c0", "input": "What is seventeen halves of a litre in millilitres?", "output": [ "8500" ] }, { "id": "task835-7a615d7a63304326a3206efb8890afe2", "input": "Suppose 2*i + 126 = 20*i. What is the highest common divisor of i and 49?", "output": [ "7" ] }, { "id": "task835-0f39fdd75d5948a780bc9761428f830f", "input": "Two letters picked without replacement from xaxaaanxxaxnxzvxa. Give prob of picking 1 a and 1 v.", "output": [ "3/68" ] }, { "id": "task835-41cbedf66daa45138c358e81d5004f15", "input": "Convert 864.8819 litres to millilitres.", "output": [ "864881.9" ] }, { "id": "task835-d9f302b51c5e4a63b9e2fd198f7a86ef", "input": "Suppose g + x - 9 = 0, -30 = -5*g + x - 9. Solve 4 - 9 = -g*h for h.", "output": [ "1" ] }, { "id": "task835-6a16b0e8dc9b472cb693f38a52b39daa", "input": "Three letters picked without replacement from {g: 2, y: 4, w: 1}. Give prob of sequence ygy.", "output": [ "4/35" ] }, { "id": "task835-2844b9ac2b83481197c6fca6714fb14a", "input": "Calculate prob of picking 1 w, 1 i, and 2 m when four letters picked without replacement from omwwsmmsowswwiwwibss.", "output": [ "14/1615" ] }, { "id": "task835-ccfa55e210af4ef3946196dd557cd8c0", "input": "Suppose -3*r + 9 = 3*q - 2*r, -4*q - r + 13 = 0. Let w be -2 - 6*(-2)/q. Solve -3*i - c = -6*c + w, -4*i - c - 9 = 0 for i.", "output": [ "-2" ] }, { "id": "task835-2df22bf9ee1a4adcb32ab02146aa1456", "input": "What is the next term in 3441, 6888, 10337, 13788, 17241?", "output": [ "20696" ] }, { "id": "task835-4287ae08b1d1411d9f94220627e6e916", "input": "What is 1366 to the power of 1/3, to the nearest integer?", "output": [ "11" ] }, { "id": "task835-64c71809a7e949eda85a8bb4ce4196e6", "input": "Let r(v) = -v**3 + 6*v**2 - 4*v + 5. What is the units digit of r(5)?", "output": [ "0" ] }, { "id": "task835-a3befce3516948f0b7a425878656cc23", "input": "Two letters picked without replacement from {q: 5, e: 1, m: 1, x: 4}. What is prob of picking 2 q?", "output": [ "2/11" ] }, { "id": "task835-c015d5de44e5486bac8b9869f7868ef3", "input": "What is seventy-two sevenths of a week in days?", "output": [ "72" ] }, { "id": "task835-561e6010af514a0f90924124c867c7eb", "input": "What is the next term in 580, 1159, 1738?", "output": [ "2317" ] }, { "id": "task835-3b0adaf80356434f997ed0078499a2b9", "input": "How many nanograms are there in 2155.172 kilograms?", "output": [ "2155172000000000" ] }, { "id": "task835-894d9bcf7ebc4a0eb6251b9ab19aa574", "input": "2 - 107725", "output": [ "-107723" ] }, { "id": "task835-9bdc75370e614f4da50c55458886cbb4", "input": "What is -0.51 - -214?", "output": [ "213.49" ] }, { "id": "task835-fe42521d07f140ee9157d7b95e487774", "input": "What is 3/32 of a week in seconds?", "output": [ "56700" ] }, { "id": "task835-eddb899314b9404ea89673578daac3b3", "input": "Solve -3*v = -58 + 79 for v.", "output": [ "-7" ] }, { "id": "task835-87de0c0082d948edadd71dfe939f4059", "input": "What is the value of ((-18)/117*-13)/5?", "output": [ "2/5" ] }, { "id": "task835-f3d72efc90e048e2a763bc00fca087c8", "input": "Let p = -24 - -13. Let i(d) = d**3 + 10*d**2 - 11*d + 4. Let f be i(p). Solve -f = -j - 3*j for j.", "output": [ "1" ] }, { "id": "task835-876ca0b08c56436ab2aabcfe07b6b2a1", "input": "What is the value of 2 + (-3 - (0 + -5)) - 2?", "output": [ "2" ] }, { "id": "task835-2191a903f9a04aee9922df9ccacaee8c", "input": "Suppose 3*g - m - 785 = 0, g - 7*m - 271 = -2*m. What is the tens digit of g/(-6)*4/(-6)?", "output": [ "2" ] }, { "id": "task835-c9fa0f3cfef24c539622f8541da99cb4", "input": "What comes next: 223, 452, 681, 910, 1139?", "output": [ "1368" ] }, { "id": "task835-525a61bce90d43b591117350957003fd", "input": "What is -3 - -8 - (-10 + 17)?", "output": [ "-2" ] }, { "id": "task835-0f026fe262db44d29d2b3a45a8510ba5", "input": "What is -38 divided by 38?", "output": [ "-1" ] }, { "id": "task835-223e51de07a1458f9bdce4b60ec4e441", "input": "Suppose 9 - 1 = 4*c. Let q be 147 + c + 5 + -2. Calculate the greatest common divisor of 19 and q.", "output": [ "19" ] }, { "id": "task835-d0e083430d4f4bd0977ea1dc7e2dbf3f", "input": "Total of -101 and 10089.5.", "output": [ "9988.5" ] }, { "id": "task835-da1d7a922a734f34af19fc070ecb4bbb", "input": "What is -1.12 times 1?", "output": [ "-1.12" ] }, { "id": "task835-1d8ea00298924f268ac156d011d180eb", "input": "-144 divided by -36", "output": [ "4" ] }, { "id": "task835-7d405432c3344880bc658c3498496b35", "input": "Suppose -3*b + 0 = -33. What is the smallest common multiple of 4 and b?", "output": [ "44" ] }, { "id": "task835-2c6f468b99044fccba55da748a7f2a59", "input": "Evaluate 3 + -5 + (-24)/(-6).", "output": [ "2" ] }, { "id": "task835-cbfcdf73b7c14b7e8b32cf27ab152b0d", "input": "Four letters picked without replacement from {a: 5, i: 1, v: 2, t: 5, n: 4, w: 3}. Give prob of picking 1 t, 2 w, and 1 a.", "output": [ "5/323" ] }, { "id": "task835-352685b417404763acb902287f1d7b0d", "input": "What is the value of (-8)/(-18)*(-6)/16?", "output": [ "-1/6" ] }, { "id": "task835-f178b4000ec041fabe2e352e98b8c56c", "input": "What is 7 take away -45.4?", "output": [ "52.4" ] }, { "id": "task835-5ce9e4fe0d1543b5b6b8ebeaa233cc01", "input": "(-4)/30 - (-400)/(-2625)", "output": [ "-2/7" ] }, { "id": "task835-88c80296f8264236bef3e367c7a831b3", "input": "Let l = -15 - -30. What is the remainder when 6/l - 53/(-5) is divided by (6/4)/((-12)/(-32))?", "output": [ "3" ] }, { "id": "task835-2d1e6e9aa3e143b78c6796b21f70d5ce", "input": "What is (8/(-140))/(2/(-14))?", "output": [ "2/5" ] }, { "id": "task835-e7391fb38afb4330b39fc7967553dc39", "input": "What is the fourth root of 51593 to the nearest integer?", "output": [ "15" ] }, { "id": "task835-f06a3639b9f34b3184c6830e837e9d28", "input": "Solve -7*u = 6*u + 91 for u.", "output": [ "-7" ] }, { "id": "task835-cc25873dd4ad43969a637554bbaadcdd", "input": "Solve -8*j + 429 - 405 = 0 for j.", "output": [ "3" ] }, { "id": "task835-7f5342aa871d4847ac1980671a523b66", "input": "Calculate (3 - 5) + (4 - 2) - -4.", "output": [ "4" ] }, { "id": "task835-c435d080e8a44ffd8bf9ba5e61779929", "input": "How many micrometers are there in fifty-nine quarters of a millimeter?", "output": [ "14750" ] }, { "id": "task835-2f2d22ed19c14104aac4b0c0809c01c8", "input": "In base 11, what is -5 + 745?", "output": [ "740" ] }, { "id": "task835-b5a2c80df19e47599eac80fd47aed5b9", "input": "Calculate prob of picking 1 i and 1 z when two letters picked without replacement from pziiibiw.", "output": [ "1/7" ] }, { "id": "task835-f76690151a884dce8c44a6240545d040", "input": "How many milligrams are there in 3/40 of a kilogram?", "output": [ "75000" ] }, { "id": "task835-603281ec401b49a8be6904f5768d827b", "input": "What is 42/11 + 0 + -4?", "output": [ "-2/11" ] }, { "id": "task835-4a602b9d7e33484eb0890f9e9739d0c0", "input": "Let c be 0/(2 + -1 + 0). Suppose 3*p = j + 33, -3*p + 4*p + 2*j - 4 = c. What is the greatest common divisor of 25 and p?", "output": [ "5" ] }, { "id": "task835-27512e57e6144f24b9af77d39ca18329", "input": "What is nine tenths of a day in minutes?", "output": [ "1296" ] }, { "id": "task835-c29ed9fe0f584702872eff335ce0f16a", "input": "In base 7, what is 35 - -263?", "output": [ "331" ] }, { "id": "task835-f4bcbbe8e0cb421ba201423b78aa70a9", "input": "Let z be -3 + 6 + 4/2. Suppose -28 = -4*g - 0*u - z*u, 5*u - 24 = -2*g. Suppose -4*i = -3*o + o + g, o = 3*i. What is the highest common factor of o and 3?", "output": [ "3" ] }, { "id": "task835-da5cbea744214e0ba864af06930f30d3", "input": "Let u(o) = -o**3 + 6*o**2 - 6*o + 6. Suppose -12 = -0*r - 4*r + 2*f, 0 = -4*f. What is the remainder when r is divided by u(5)?", "output": [ "0" ] }, { "id": "task835-8ebeadb7970a4970846d6d84da489cc9", "input": "-774 divided by -3", "output": [ "258" ] }, { "id": "task835-30c8c9b865d44cf4a2e40fbf3dddf776", "input": "What is 9450 to the power of 1/7, to the nearest integer?", "output": [ "4" ] }, { "id": "task835-708138efa6ac4d83bf3cebd9e88ef480", "input": "How many millimeters are there in fourty-six fifths of a centimeter?", "output": [ "92" ] }, { "id": "task835-f9ab64da7ccd474687a45c06089b9498", "input": "How many centimeters are there in 198.0394 micrometers?", "output": [ "0.01980394" ] }, { "id": "task835-2902033712a84233886bf9c3076d31a6", "input": "Let n = -74 + 82. Calculate the remainder when n is divided by 2 - (2/2 + -2).", "output": [ "2" ] }, { "id": "task835-0ba08d0616d1421297496adb3f30144a", "input": "What is twenty-one quarters of a hour in seconds?", "output": [ "18900" ] }, { "id": "task835-60a2988da290493c93d7321a375c1685", "input": "What is 19629 to the power of 1/3, to the nearest integer?", "output": [ "27" ] }, { "id": "task835-b659da3d2aef487f885e6058fdbe98d4", "input": "Suppose 0 = -o - 4*o - 4*z + 85, -4*o + 5*z = -27. Let b = o + 15. Calculate the remainder when b is divided by 2 - 3 - 33/(-3).", "output": [ "8" ] }, { "id": "task835-a99b51b5b4ee40698e51fa948cff4697", "input": "Let d = -5 + -21. Let o = d - -44. Calculate the lowest common multiple of o and 20.", "output": [ "180" ] }, { "id": "task835-01f1c337cc9545cf80c9dccb924586ef", "input": "What is the product of -0.3 and 100?", "output": [ "-30" ] }, { "id": "task835-313a39c02dbf440a8dc2c2cf7037d347", "input": "Suppose -5*m + 65 = -0*m. What is the remainder when m is divided by ((-6)/(10 + -7))/(2/(-4))?", "output": [ "1" ] }, { "id": "task835-eab3f10b01a44eb0a2c0fefc3821e18f", "input": "Solve -5*y + 2*q + 4 = 0, 2*y + 4*q + 4 = -4 for y.", "output": [ "0" ] }, { "id": "task835-f2ba6a14ada34c10a69220676aa90b30", "input": "Solve -5*f - 36 = 4*d, 5*f - d = 4*d for f.", "output": [ "-4" ] }, { "id": "task835-998767b066e3470bb3cdf3830e7b39c4", "input": "In base 14, what is 4 + 473?", "output": [ "477" ] }, { "id": "task835-e6866b14bc114bf9b125d85a851d28a5", "input": "Solve 3*x - 3 = -0*f - 2*f, -4*f + 4*x = 4 for f.", "output": [ "0" ] }, { "id": "task835-6c715bd3470043bfa89bda412cf3068a", "input": "207 divided by -1", "output": [ "-207" ] }, { "id": "task835-b2d9e5cbc4494234b3679b2e3aa37ef1", "input": "Let o(b) = 2*b. Let t be o(2). Let u(q) = -8 - q + 5 + t. Let n be u(-1). Solve n*m + w + 2 = 0, -3*m + 4*w - 7 = -6*m for m.", "output": [ "-3" ] }, { "id": "task835-582810b4186746bcafccb9a4f1972cd1", "input": "What is the value of 0 + -1 + (-3 - (-5 - -3))?", "output": [ "-2" ] }, { "id": "task835-8b523c6f67234df79e0e2ab974646ebf", "input": "How many micrometers are there in 12/25 of a millimeter?", "output": [ "480" ] }, { "id": "task835-fde7130921f54bd4832f4ac468e5db1a", "input": "What comes next: 438, 874, 1306, 1734, 2158, 2578?", "output": [ "2994" ] }, { "id": "task835-26c5e5c01bff409499a961befb66fd92", "input": "Solve 10 = 972*z - 970*z for z.", "output": [ "5" ] }, { "id": "task835-13b7ba42e9c14a1e804acf3f1860fc4d", "input": "Let r = 1/6632 - -401227/59688. Find the common denominator of r and 77/8.", "output": [ "72" ] }, { "id": "task835-593add702ec54cbeb3e63c85dc4668e7", "input": "Solve 23*l - 18*l = 25 for l.", "output": [ "5" ] }, { "id": "task835-2bf4f64368de48d7af1b6500974fdbfd", "input": "Two letters picked without replacement from hjqqqqmqmm. What is prob of picking 2 q?", "output": [ "2/9" ] }, { "id": "task835-bc0d71c5d7b04f45badadc34a223e808", "input": "Two letters picked without replacement from sskseukyesekeussuy. What is prob of sequence se?", "output": [ "4/51" ] }, { "id": "task835-a79016367bd946eca76503f00112f18b", "input": "What is 57.25832 milligrams in kilograms?", "output": [ "0.00005725832" ] }, { "id": "task835-a07a60690f8845b88335a79a498208a6", "input": "What is prob of sequence vkjz when four letters picked without replacement from vwzwkwwkkjwwwz?", "output": [ "1/4004" ] }, { "id": "task835-edee7246f58e42a59cc063ef697826d0", "input": "Three letters picked without replacement from {q: 2, w: 7, b: 1, l: 4}. Give prob of sequence wbq.", "output": [ "1/156" ] }, { "id": "task835-9f7117bead7a46308fd0a0119f2a4909", "input": "What is the next term in -26, -107, -298, -653, -1226?", "output": [ "-2071" ] }, { "id": "task835-ea37d79cd66f40138cbdd994dafdfc30", "input": "Calculate (84/(-36))/(357/(-18)).", "output": [ "2/17" ] }, { "id": "task835-5cecd4e79a394a65a514eda00434facc", "input": "In base 3, what is -10 + -2002122?", "output": [ "-2002202" ] }, { "id": "task835-b00b161673fb40aba6d5d8fb3dae751b", "input": "Let q be (25 + 1)/2 - (5 + -3). What is the highest common divisor of q and 99?", "output": [ "11" ] }, { "id": "task835-cc9ac3931c104821accf6b71c7eec864", "input": "In base 6, what is 2 + -223?", "output": [ "-221" ] }, { "id": "task835-79285cea118648dab74ca4a17fc09aea", "input": "Two letters picked without replacement from {u: 1, a: 1, e: 1, r: 2}. What is prob of picking 1 r and 1 a?", "output": [ "1/5" ] }, { "id": "task835-96d7a9e3d9be4ef5a333f9362d644e25", "input": "What is the value of 100/(-30)*-12*(-4)/(-20)?", "output": [ "8" ] }, { "id": "task835-f23977d030ee4078b68e4dc9a0144b8d", "input": "What is 68/3 of a century in months?", "output": [ "27200" ] }, { "id": "task835-675d26736c2a49719efa78300f87165e", "input": "Convert 37.3712598 minutes to weeks.", "output": [ "0.00370746625" ] }, { "id": "task835-0d88d68098b042f3841193f148383b04", "input": "Let w be 94/18 + 4/(-18). Let i(j) = j**3 + j**2 - 4*j + 6. Let y be i(4). Let q be (1 + 1/(-2))*y. Solve -x - 10 = -0*x - 5*r, -4*x - w*r = -q for x.", "output": [ "5" ] }, { "id": "task835-83b32d40159d4b5f829051d2f6845899", "input": "Convert 8.702384 nanoseconds to microseconds.", "output": [ "0.008702384" ] }, { "id": "task835-703b64b5f83748159c5b59f7cb8e356e", "input": "Calculate the remainder when 26 is divided by (4 - -1) + -15 + 20.", "output": [ "6" ] }, { "id": "task835-fe2d1bf4aeb9441387856136d5a36fc8", "input": "Solve -2*g = -5*h - 20, 3*h - g + 12 = 4*g for h.", "output": [ "-4" ] }, { "id": "task835-06220b920212498e8d34e3fd6d19e1bf", "input": "What is prob of sequence ccyy when four letters picked without replacement from {y: 3, c: 4}?", "output": [ "3/35" ] }, { "id": "task835-fcf701181bb94bb69d6f38942305e5cb", "input": "What is -4 divided by -32?", "output": [ "1/8" ] }, { "id": "task835-db8b7acbb44041ada0a1d0354e6bda50", "input": "Let x(k) = k**3 + 16*k**2 + 5*k + 7. What is the hundreds digit of x(-15)?", "output": [ "1" ] }, { "id": "task835-b802c4a9bc4d415698fb5919fa414fc9", "input": "995*-0.06", "output": [ "-59.7" ] }, { "id": "task835-4097d98662104b2bb1e0059110d1e3db", "input": "Let c = 2 - 8. Calculate the common denominator of (c/45)/((-4)/(-249)) and (141/20)/((-18)/15).", "output": [ "40" ] }, { "id": "task835-d59b761137544ca78295c78cf5a6cb47", "input": "What is 4218 to the power of 1/2, to the nearest integer?", "output": [ "65" ] }, { "id": "task835-7c172a50d639498a8b3564e0abd1f973", "input": "What is prob of picking 1 u and 1 i when two letters picked without replacement from affiuxaiaf?", "output": [ "2/45" ] }, { "id": "task835-50916f4b01b945ed8a2e243436126ef9", "input": "Let x = -35 - -42. Solve 3*p = x*p + 4 for p.", "output": [ "-1" ] }, { "id": "task835-125c0084b2e943cd801911a25e03a1c9", "input": "Let x be 49/21 + (-2)/(-3). Suppose 31 = d - 2*u, -x*d + u = -u - 89. What is the units digit of d?", "output": [ "9" ] }, { "id": "task835-cd3d31b7ecd84746be17a209dd19f945", "input": "Suppose -49*v - 280 = -56*v. What is the remainder when 159 is divided by v?", "output": [ "39" ] }, { "id": "task835-a018289e4b764e778b59c0741f37677e", "input": "Solve 5*n + 4 = -16 for n.", "output": [ "-4" ] }, { "id": "task835-b3a5925f32fa4bbba3104c6fb5d3c35a", "input": "How many hours are there in 620.11656ms?", "output": [ "0.0001722546" ] }, { "id": "task835-bacd436a7a8146999b06439da1f1c6ea", "input": "What is the value of ((-12)/30)/(2/(-10)*-11)?", "output": [ "-2/11" ] }, { "id": "task835-c7e095b4addd46c8a9d3d9e80ed22640", "input": "-2 divided by 232", "output": [ "-1/116" ] }, { "id": "task835-83798ec870484f42829ac6ec29ab727b", "input": "Suppose 5*y + 30 - 45 = 0. Solve 5*n + 5 = -5*b, 0*n - 3*n = -3*b - y for n.", "output": [ "0" ] }, { "id": "task835-589aad14e4cd496eab2442aa3a128a6c", "input": "12 - (-1)/(18/10 + -2)", "output": [ "7" ] }, { "id": "task835-290bf8ac58d743f0939dcf096721a16e", "input": "How many weeks are there in 301471.45 days?", "output": [ "43067.35" ] }, { "id": "task835-75f1042032e745b9bf28054cd81296a2", "input": "What is 5/8 of a litre in millilitres?", "output": [ "625" ] }, { "id": "task835-f6b1ef7fbee7463d982f438d238286ed", "input": "Let u = -4 + 6. Solve -u*t + 5*m = -t - 16, -t + m = -4 for t.", "output": [ "1" ] }, { "id": "task835-14df97221b1d4d05ab0c68e6dc933f68", "input": "What is the distance between -2 and 94447?", "output": [ "94449" ] }, { "id": "task835-283b394eb40c4ec487f8c31eeda2dd7d", "input": "Four letters picked without replacement from {c: 3, p: 7, t: 2, a: 5}. Give prob of picking 2 c and 2 p.", "output": [ "9/340" ] }, { "id": "task835-9a9f75ccca7b4e7486a5aa5017ffd2bd", "input": "In base 12, what is -5aa - 8?", "output": [ "-5b6" ] }, { "id": "task835-a83a18eff792484f8e658a246b00e69e", "input": "How many micrograms are there in 0.315609 tonnes?", "output": [ "315609000000" ] }, { "id": "task835-6f6f27f1242f479c898822452a2120bd", "input": "What is prob of sequence jeee when four letters picked without replacement from jjeejjjjjjjjjejj?", "output": [ "1/560" ] }, { "id": "task835-237772e53b9b413a8da44cbce13233f6", "input": "Evaluate 11 + 10 + -10 + -4.", "output": [ "7" ] }, { "id": "task835-39716215ff414340962aac0b916f1a6a", "input": "How many seconds are there in 18085.8 milliseconds?", "output": [ "18.0858" ] }, { "id": "task835-4d3c2d5f7ad04550bf89b0e43af74b80", "input": "Solve -35*h - 2*h = 74 for h.", "output": [ "-2" ] }, { "id": "task835-cabc29116820431c8cf451c62c100b79", "input": "Calculate prob of picking 1 v, 1 l, and 2 f when four letters picked without replacement from {l: 1, v: 3, f: 5, c: 1}.", "output": [ "1/7" ] }, { "id": "task835-cb55dde652c64118bf67d01648226e53", "input": "21 times -2.1", "output": [ "-44.1" ] }, { "id": "task835-6ac06fad502446b197e25c5d9647c609", "input": "In base 13, what is -5 - 51?", "output": [ "-56" ] }, { "id": "task835-a6dc72b670914b1eb6c95321d96f28a2", "input": "What is the value of 2/(-4)*9/((-54)/(-12))?", "output": [ "-1" ] }, { "id": "task835-e8541a6768c14d55a0deb34bd614faec", "input": "What is the product of -0.2 and -140?", "output": [ "28" ] }, { "id": "task835-1daf78035414492e8719c813b03c21e3", "input": "What is ((-15)/(-45))/(5/9)?", "output": [ "3/5" ] }, { "id": "task835-ad472cd8e56e4605a097bd8f361590fe", "input": "Multiply 15.42 and 1.", "output": [ "15.42" ] }, { "id": "task835-f727d08d76ec485882b9fc0f0499d366", "input": "Let n = 3 - -2. Suppose 4*w = -o - 4, o - n*o = -3*w - 60. What is the tens digit of o?", "output": [ "1" ] }, { "id": "task835-802bedca989b4168b3b50d973fa69dc0", "input": "Solve -31 = -4*d + 7*d - 5*u, -4*u = 5*d - 10 for d.", "output": [ "-2" ] }, { "id": "task835-b3597f8999f0422fb7d83e98e73601b0", "input": "What is prob of picking 3 l and 1 z when four letters picked without replacement from zmmlllmzzzmlzzz?", "output": [ "4/195" ] }, { "id": "task835-a3e7df49277a45baaa0ff64a4b76d1a4", "input": "Let p be -2*(-4 - (-5)/2). Suppose 2*b - 4*y - p = -5*y, 2*b - 7 = 3*y. Let n be (3/(-2))/(6/(-32)). Solve 0*v + n = -b*v for v.", "output": [ "-4" ] }, { "id": "task835-d71c49975cb74626901540e550d1f7b9", "input": "Let a(h) be the third derivative of h**6/120 - h**5/15 + h**4/24 - h**3/3 + 4*h**2. Let z be a(4). Solve 2*o = z*n - 8, 0*o - 4 = -2*n - 2*o for n.", "output": [ "3" ] }, { "id": "task835-8dde80f56fd1497eb8d282fc7ebd50de", "input": "Calculate -2*2/8*-6.", "output": [ "3" ] }, { "id": "task835-33a58efebf9540419b005107a57c154c", "input": "Suppose 9*j = 3*j + 96. Solve -v - 3*v = -j for v.", "output": [ "4" ] }, { "id": "task835-edbea02303944bd496a12071a01329c0", "input": "What is the next term in 3, 2, 3, 6, 11, 18?", "output": [ "27" ] }, { "id": "task835-98c1e35223b44ad1ae95424ee895961c", "input": "Calculate prob of sequence ll when two letters picked without replacement from lllllbblnl.", "output": [ "7/15" ] }, { "id": "task835-2385fb6d4bb94780886655bb6ebe97d9", "input": "Suppose 4*z = -5*t + 7*z + 31, 2*z = 4*t - 24. Solve t*a - 20 = -0 for a.", "output": [ "4" ] }, { "id": "task835-d91bc5a45c5040f186976795b8e204d6", "input": "What is 5 + 0 - (110 - 100)?", "output": [ "-5" ] }, { "id": "task835-489d5c85ae76418ca191807fdc122ca0", "input": "Solve -9 = 4*x - 5 for x.", "output": [ "-1" ] }, { "id": "task835-359a2cee12c14aea8520f924c9b37d99", "input": "Solve 0 = y + 2*y + 2*y for y.", "output": [ "0" ] }, { "id": "task835-58a294406386484b86c41756bb4fbae1", "input": "What is the next term in -489, -475, -445, -393, -313?", "output": [ "-199" ] }, { "id": "task835-17c12d32e49e4b279d9b0f7e6b1d9fe8", "input": "What is the value of -90 + 81 + (8 - -2)?", "output": [ "1" ] }, { "id": "task835-11d223c987fd484eb74343268c6775cf", "input": "In base 12, what is 21 + 39?", "output": [ "5a" ] }, { "id": "task835-f7e13aa2cb73417cb7367705755e31b6", "input": "Evaluate -1 + 5/3 + 565/(-1017).", "output": [ "1/9" ] }, { "id": "task835-0bc522b3bb894f18974e96dc8d0b9bf0", "input": "Calculate ((-1)/(-6))/(-2*1/4).", "output": [ "-1/3" ] }, { "id": "task835-a0449d4ecfe348e7af8185f65b27e60e", "input": "Suppose 0 = -z - 3*z + l + 3, -2*l = 2*z + 6. Let j = 3 + z. Suppose -t + 13 = j*t - q, -2*q - 10 = 0. What is the units digit of t?", "output": [ "2" ] }, { "id": "task835-e22caaed38244ed7a25a5a3babd785d0", "input": "Find the common denominator of (-2 + 1)*(-385)/777 and 40/7.", "output": [ "777" ] }, { "id": "task835-059e4419d60a44e2a16d231208d6007c", "input": "Calculate prob of picking 2 g when two letters picked without replacement from {g: 5}.", "output": [ "1" ] }, { "id": "task835-eb90a6fd146f4d2199a3983db2ff8afc", "input": "Calculate prob of sequence hh when two letters picked without replacement from {i: 1, h: 2}.", "output": [ "1/3" ] }, { "id": "task835-2daa937a586e4fcd80c857d5da75be93", "input": "How many milligrams are there in 1/5 of a gram?", "output": [ "200" ] }, { "id": "task835-e497b5287b304b1394c30e8af17cdd96", "input": "Three letters picked without replacement from {b: 7, w: 7, x: 2}. Give prob of sequence bxw.", "output": [ "7/240" ] }, { "id": "task835-63533919ebd74810b5ece7e350f3e03c", "input": "What is next in -3496, -3491, -3482, -3469?", "output": [ "-3452" ] }, { "id": "task835-3823849769bf40669b0e78ed084e7c63", "input": "How many nanoseconds are there in 65.6315 milliseconds?", "output": [ "65631500" ] }, { "id": "task835-f94b2dfdc2714cfdaf3a9eec1647da65", "input": "Suppose 5*a - 4*a - 26 = 2*s, 4*a - 5*s - 104 = 0. What is the remainder when a is divided by 14?", "output": [ "12" ] }, { "id": "task835-67a979f26dd945d1aaa475c485a9dadd", "input": "Calculate prob of picking 1 i and 2 c when three letters picked without replacement from {i: 6, m: 7, c: 2}.", "output": [ "6/455" ] }, { "id": "task835-5972cfc4bd184da4aca63fcfa47d64e3", "input": "What comes next: -193, -392, -591, -790, -989, -1188?", "output": [ "-1387" ] }, { "id": "task835-3fd5e573d8ec4dad9fdf34d5356fcc94", "input": "Calculate the common denominator of (2 - 10)/((-48)/136) and -22/9.", "output": [ "9" ] }, { "id": "task835-ea789e5e0fe4416f95754be69cdefc5f", "input": "Three letters picked without replacement from {q: 5, b: 3, o: 1}. What is prob of picking 1 o and 2 b?", "output": [ "1/28" ] }, { "id": "task835-eb4b7299c4d942a1bde69d5363292d5d", "input": "Calculate -5*-0.0049.", "output": [ "0.0245" ] }, { "id": "task835-1f411b7afed1408895b9b4f1b9646af2", "input": "Let s(c) = 5*c**2 - c. Suppose 0 = -o - 1, n - 5*n - 5 = -3*o. What is the units digit of s(n)?", "output": [ "2" ] }, { "id": "task835-ca52cd5493244f2da823867f5b920800", "input": "Let s(r) be the second derivative of -r**3/2 - r**2/2 + 3*r. Let q be s(-5). Let n be ((-11)/(-4))/((-4)/(-224)). What is the highest common factor of q and n?", "output": [ "14" ] }, { "id": "task835-0cc18c5f5d3c498297163c8d6b7abf26", "input": "What is 8966 to the power of 1/7, to the nearest integer?", "output": [ "4" ] }, { "id": "task835-317dc6da13c34a3786119f986fd904dc", "input": "Let b = -21 + 35. Let r = -8 + b. What is the units digit of r?", "output": [ "6" ] }, { "id": "task835-aeb73386e9d042f1b25df5d3725528e0", "input": "Suppose -4*s - 3 = -47. What is the least common multiple of 21 and s?", "output": [ "231" ] }, { "id": "task835-4eaae465ed0e482c851288b8d4a4e9a8", "input": "What is prob of picking 1 c and 1 b when two letters picked without replacement from bbbbbbbbbbbbbbccbb?", "output": [ "32/153" ] }, { "id": "task835-de7bb89f6003409f874ca76847c5b38f", "input": "Two letters picked without replacement from {n: 2, p: 1, s: 1, c: 2, d: 1, u: 1}. Give prob of sequence sc.", "output": [ "1/28" ] }, { "id": "task835-e39f553b44be411287ecf57748c42b51", "input": "In base 5, what is 31130 + -11?", "output": [ "31114" ] }, { "id": "task835-ad1e0158bd3640e890790c5946f05d58", "input": "Let p be (0 - 2 - -3) + 0. Let u = -157/4 - -41. What is the common denominator of u and p + 143/(-6) + 2?", "output": [ "12" ] }, { "id": "task835-ffab7d58b6ea4b9e9849cc177d84b931", "input": "What is 48/5 of a millimeter in micrometers?", "output": [ "9600" ] }, { "id": "task835-be9bec7997984fd4823ce4a1d2cdd5d7", "input": "Convert 5396.8g to nanograms.", "output": [ "5396800000000" ] }, { "id": "task835-6fb0ab98c1614169a6fbf4caa30f5ef4", "input": "Suppose 0 = -3*a + 3*r + 201, -4*a + 4*r + 196 = -a. Calculate the highest common factor of 8 and a.", "output": [ "8" ] }, { "id": "task835-0e91680da6164c29886ec1b9fa80a3c6", "input": "What is prob of picking 2 d when two letters picked without replacement from {z: 6, d: 6}?", "output": [ "5/22" ] }, { "id": "task835-2156b6ff9d84413ebc41b3184c1126c9", "input": "Let w(d) be the first derivative of d**4/4 + d**3/3 - 9. Let o be (1 + 1)*3/6. What is the units digit of w(o)?", "output": [ "2" ] }, { "id": "task835-aa20087d81384e0c88eb7c1504a5f303", "input": "What is the eighth root of 73195 to the nearest integer?", "output": [ "4" ] }, { "id": "task835-1cfc75c07df34a83a494064478a7cf40", "input": "Suppose y = q - 12, y - 5*y + 8 = 4*q. Solve 4 = q*w - 3*w - 4*n, -4*n = 3*w - 10 for w.", "output": [ "2" ] }, { "id": "task835-e9bc91aaedab4450ab212d6d1c34d125", "input": "(1*2/(-1))/((-2)/(-3))", "output": [ "-3" ] }, { "id": "task835-5424f26dcf56481a91315d5618d7860a", "input": "Calculate prob of picking 1 l and 1 w when two letters picked without replacement from kxxvwxwxxxlxxxxwk.", "output": [ "3/136" ] }, { "id": "task835-d993bf8c42c34cdb9e5f212e0230185a", "input": "Let z be ((-3)/(-2))/(-3)*-6. Suppose 0 = 5*x - 4*i + 15, 1 + 4 = -5*x + 2*i. Solve s - x = -z for s.", "output": [ "-2" ] }, { "id": "task835-e45ef8fc132d42f0a6622812777c4e10", "input": "Evaluate 6/21*3*(-3)/9.", "output": [ "-2/7" ] }, { "id": "task835-9279d80e8cb3453daca1193b558fbe8c", "input": "Calculate -1 + -6 + 13 + -3.", "output": [ "3" ] }, { "id": "task835-ea2f4734be0c4a268231bebdea25119d", "input": "What is the value of (3/(-6))/(12/48)?", "output": [ "-2" ] }, { "id": "task835-cfc0c316ae2349349f8bee676c73b392", "input": "How many months are there in 11/2 of a century?", "output": [ "6600" ] }, { "id": "task835-39d8d5e443374b5daaf9f9d7d93eda19", "input": "Suppose 3*f - 15 - 15 = 0. Let q = 208 - 203. What is the greatest common divisor of q and f?", "output": [ "5" ] }, { "id": "task835-8321b04512a7481aa130d71f94e793f5", "input": "What is prob of sequence xi when two letters picked without replacement from {b: 3, x: 5, q: 1, i: 6, n: 3}?", "output": [ "5/51" ] }, { "id": "task835-24084e56f97a4e6090b7c51383e511f6", "input": "Four letters picked without replacement from {i: 4, g: 6, t: 5}. What is prob of picking 3 t and 1 i?", "output": [ "8/273" ] }, { "id": "task835-561af835a34448bdbf4faa010d07b1c9", "input": "Suppose -f - 1 + 2 = 0. Solve -5*s + b = -s - f, 3*b + 19 = -4*s for s.", "output": [ "-1" ] }, { "id": "task835-29364ded739746eda473ac986c118dc2", "input": "What is -18968 plus -1.1?", "output": [ "-18969.1" ] }, { "id": "task835-9769c87a4989480eb8017d6f1451570c", "input": "Three letters picked without replacement from ccvvvvvbbvvvvvvbcv. What is prob of picking 2 b and 1 c?", "output": [ "3/272" ] }, { "id": "task835-3c6873834fa74fa78de6e5d335ab7631", "input": "What is the next term in -9053, -9051, -9049?", "output": [ "-9047" ] }, { "id": "task835-b859d6125998489984bd58bf197d4a04", "input": "Suppose -2*s = 5*v - 11, 0*v + 3*s - 7 = 2*v. What is the smallest common multiple of 5 and v?", "output": [ "5" ] }, { "id": "task835-b7ed96164b6e4241b07ce982932de725", "input": "What is prob of picking 2 h and 2 y when four letters picked without replacement from {h: 4, y: 14}?", "output": [ "91/510" ] }, { "id": "task835-48db1c2a25ac451587d5382d4d575f55", "input": "Solve 0 = 1150*k - 1147*k + 3 for k.", "output": [ "-1" ] }, { "id": "task835-43500deb15f04bbfbfe4264048bf6ab5", "input": "What is prob of picking 3 u when three letters picked without replacement from xuuxxuc?", "output": [ "1/35" ] }, { "id": "task835-123d779d41be48548d54f4e65c6fd92b", "input": "Four letters picked without replacement from ppppbbuppbhxpbb. What is prob of sequence hbxp?", "output": [ "1/936" ] }, { "id": "task835-6e66c293c9184cceab5543a359e1223c", "input": "How many nanometers are there in nine tenths of a micrometer?", "output": [ "900" ] }, { "id": "task835-fceb11a71c524a70a3dbe852081b9a05", "input": "309 * -0.3", "output": [ "-92.7" ] }, { "id": "task835-b80dcb5ed0b847c9b3ebc0102cf6e4b4", "input": "Suppose -2737 = -4*u + 3*y, -668 = -2*u + u + 4*y. Let w = u + -6140/9. Calculate the common denominator of -19/2 and w.", "output": [ "18" ] }, { "id": "task835-243dcf3d44d74068bc5b4a58d34e8699", "input": "What is the remainder when 29 is divided by 18/27 + (-22)/(-3)?", "output": [ "5" ] }, { "id": "task835-4d1becb27fc148539b70b30be27a88b9", "input": "Solve 15 = 3*t, -1 + 41 = -5*h + 5*t for h.", "output": [ "-3" ] }, { "id": "task835-bcfc80aa792e4ad497f1a64c17c2f372", "input": "Solve 18*v + 30 = -12*v for v.", "output": [ "-1" ] }, { "id": "task835-3637e8500f344368b9f4206fea65aef5", "input": "What is 13/8 of a litre in millilitres?", "output": [ "1625" ] }, { "id": "task835-92ded1ef5ef549369c7f173f603f3d8c", "input": "Let s be (-1)/(-1*2/4). Calculate the common denominator of (2/(-88))/((-1)/(-146)) and (1/s)/((-9)/113).", "output": [ "198" ] }, { "id": "task835-e898effd1fc84de792cfad1cb1d9fdd0", "input": "Solve 2*d = -4*x - 16, -4 = 7*d - 3*d - 6*x for d.", "output": [ "-4" ] }, { "id": "task835-b67d8f3da126482093db512f167b1a5f", "input": "What is prob of sequence ges when three letters picked without replacement from deguqqes?", "output": [ "1/168" ] }, { "id": "task835-d206607fd0264406b3650cff7d7c75ac", "input": "(3325/(-57))/(-25) + 2/(-2)", "output": [ "4/3" ] }, { "id": "task835-29a5e0647ca0412c9c17adfca4e23515", "input": "Solve -30 = -14*r + 8*r for r.", "output": [ "5" ] }, { "id": "task835-59958beb6c11468894a3812ac61dab68", "input": "Suppose -6*d + 2*d - 2*f = 0, -2*d - 2*f = 4. Suppose -5*n = -2*g - 0*g - 74, -3*g + 25 = n. Calculate the smallest common multiple of n and d.", "output": [ "16" ] }, { "id": "task835-2ceed8158a2f4cab85db2ee5a368848e", "input": "How many hours are there in 15/4 of a week?", "output": [ "630" ] }, { "id": "task835-3f9fa20c58604d99a9b41402b1934e98", "input": "Suppose 5*j - 3*g = g + 7, -2*g - 8 = -4*j. Suppose -x + 10 + 32 = -4*p, j*x - 156 = -3*p. What is the highest common divisor of x and 20?", "output": [ "10" ] }, { "id": "task835-b208c4510a0d486c89bdff14d5c1477e", "input": "Four letters picked without replacement from kkpikpakiaikkpaxxp. Give prob of picking 3 k and 1 p.", "output": [ "4/153" ] }, { "id": "task835-dfab33b6a4924a71ae4a6471333611d6", "input": "What is three eighths of a day in hours?", "output": [ "9" ] }, { "id": "task835-388e69ed670b4c7db1419876d86060f2", "input": "What is prob of picking 1 o and 1 g when two letters picked without replacement from {a: 1, g: 2, t: 2, o: 1}?", "output": [ "2/15" ] }, { "id": "task835-3a5b740023884eca898a4dd65400d51a", "input": "Solve 68 = 9*u + 122 for u.", "output": [ "-6" ] }, { "id": "task835-a90b171ac41e4ad383d0f010c5ca32c7", "input": "What is prob of sequence fe when two letters picked without replacement from {q: 1, p: 2, e: 1, z: 1, u: 1, f: 1}?", "output": [ "1/42" ] }, { "id": "task835-0d20cf9db95545fca211edcc116e588a", "input": "Let u = -773/2 + 358. Let h be (-526)/66 + (-4)/(-12). Let w = h - -773/22. Find the common denominator of u and w.", "output": [ "2" ] }, { "id": "task835-5425279e3ef44456852b1c8a88397ddb", "input": "What is the square root of 1297 to the nearest integer?", "output": [ "36" ] }, { "id": "task835-6d5a13920f8b4475a1a0aba3ec107232", "input": "How many milligrams are there in eleven quarters of a gram?", "output": [ "2750" ] }, { "id": "task835-0a0e12c79ea74d9a908e457450e8deb0", "input": "Evaluate (((-4)/(-10))/(3/(-15)))/(-2).", "output": [ "1" ] }, { "id": "task835-1b665f645f804485927aef4d666d620e", "input": "In base 13, what is -6b1 + 3?", "output": [ "-6ab" ] }, { "id": "task835-31f7db8ffdb044b798f63c56b0a8c8c9", "input": "Suppose 0*m - m - 3 = 0. Let i = m - -7. Solve -v = -0*v + i for v.", "output": [ "-4" ] }, { "id": "task835-68b8ad9597ec464fa92e91a31116e20c", "input": "Two letters picked without replacement from {z: 7, a: 6, r: 1, y: 4, j: 2}. What is prob of sequence az?", "output": [ "21/190" ] }, { "id": "task835-a4312d45a7204278a5bf606aca41c090", "input": "Let x = -1/17723 - -1754585/141784. Let q(j) = -2*j**2 - 6*j + 5. Let y be q(-5). Find the common denominator of x and (y/(-12))/(22/(-40)).", "output": [ "88" ] }, { "id": "task835-e4e1c60a21b34cf6817f98007c5563b5", "input": "Let b be 2/(-2) - (-24)/2. Suppose -3*j + 52 = -j. Let h = j - b. Solve -d + h = 4*d for d.", "output": [ "3" ] }, { "id": "task835-c5a03c05c33649fe80d32c1fe30aa37c", "input": "How many decades are there in 8/25 of a millennium?", "output": [ "32" ] }, { "id": "task835-3ab83264dde84087b6b46e09b923ddf9", "input": "Let s(n) = n**2 + 13*n + 47. Calculate the remainder when 104 is divided by s(-12).", "output": [ "34" ] }, { "id": "task835-84e0a2195ca8474d9c5af6d6180d4fd2", "input": "Convert 216073.494 milliseconds to days.", "output": [ "0.002500850625" ] }, { "id": "task835-58666c8715a94b5badab537805aef3b3", "input": "What is one quarter of a day in minutes?", "output": [ "360" ] }, { "id": "task835-e2c1c7cccd894c1b934aa26e7976050b", "input": "What is twenty-three sevenths of a week in hours?", "output": [ "552" ] }, { "id": "task835-d613cbf5810a49ddb02f4f3389c20288", "input": "5 * 45", "output": [ "225" ] }, { "id": "task835-7614b746c84440a0a17351a08859909c", "input": "Let n(m) = 3*m**2 - 1 + 0*m**2 + m + m**3 - m**2. Let s be n(-2). What is the units digit of (-1)/(s/30) - 2?", "output": [ "8" ] }, { "id": "task835-35584718965f48c78f4d24e17a8f2790", "input": "Evaluate (3 - 1) + (2 - 1) + -8.", "output": [ "-5" ] }, { "id": "task835-3a785e913f52459a912540cea46fa35d", "input": "What is the value of 3/((-27)/5) + (-4)/(-12)?", "output": [ "-2/9" ] }, { "id": "task835-0289e487d4ad45afbb5f79c2cd7cb2f9", "input": "What is prob of picking 1 n and 1 f when two letters picked without replacement from {f: 1, n: 2}?", "output": [ "2/3" ] }, { "id": "task835-8c231da71ae74da2bcbb4faef55ce020", "input": "What is prob of picking 3 b when three letters picked without replacement from bbpbbpb?", "output": [ "2/7" ] }, { "id": "task835-154add97110d4af6adbac7c4ce3fc16d", "input": "Let x(h) = -h**3 + 8*h**2 + 2*h - 12. Let v be 5/15 + (-46)/(-6). Let j be x(v). Solve 0 = 5*w + 4*b, -4*w = -b + 5*b - j for w.", "output": [ "-4" ] }, { "id": "task835-0d15a84f692e4673a043c7fd81044d56", "input": "What is 424806.5 millilitres in litres?", "output": [ "424.8065" ] }, { "id": "task835-b192f68989a843c28e67083995f60e35", "input": "Let q = -3 + 3. Suppose -2*p + 8 = 4*o - q*p, -5*o = -4*p - 10. Solve 2*z + o*s - 5 = -3, -4*z + 3 = 3*s for z.", "output": [ "0" ] }, { "id": "task835-77b1fc9b81bf4e5a93a45a5e12e28a36", "input": "What is next in 35, 68, 101, 134, 167?", "output": [ "200" ] }, { "id": "task835-c06a8b69dd56405f845f444e3fcd7488", "input": "Let k(l) = 12*l**2 - 4 - 2*l**2 + 8 + l**3. Suppose -4*u - u = 50. What is the units digit of k(u)?", "output": [ "4" ] }, { "id": "task835-af09a61cc0c1409990a2c9dec0a159dd", "input": "Suppose -3*x - 2*x = 0. Suppose 0 = -2*j + 3*v - 8, 2*j - 2*v + 4 = -x*v. What is the units digit of j?", "output": [ "2" ] }, { "id": "task835-a4c3732168f546e996912b4a2d30e4a7", "input": "How many minutes are there in one tenth of a hour?", "output": [ "6" ] }, { "id": "task835-cdc7cfeb4ccf497fb8b839ec8f2af4ab", "input": "What comes next: -7877, -7883, -7903, -7943, -8009, -8107, -8243, -8423?", "output": [ "-8653" ] }, { "id": "task835-a969b0a6ce0d4caeb8dca21270e01860", "input": "Suppose -5*w = 5*b - 3*w - 88, 2*b + 3*w = 44. What is the smallest common multiple of b and 22?", "output": [ "176" ] }, { "id": "task835-34420686b07d4fa8ac33317b9f1b0ba1", "input": "Solve -3*i + 3*l + 19 = -l, i - 3 = -2*l for i.", "output": [ "5" ] }, { "id": "task835-425ab520c8aa48a9a16cae9697791c61", "input": "In base 13, what is -6 - -182?", "output": [ "179" ] }, { "id": "task835-242e5d9d1e994d4fb7d22f9d0ee6e037", "input": "-4*80.8", "output": [ "-323.2" ] }, { "id": "task835-d833e642e89b48c4a8676dd285f50dbc", "input": "What is 63.33083t in grams?", "output": [ "63330830" ] }, { "id": "task835-299d14cb8f0748ddb1cb759458b51b01", "input": "Let z(n) = -n + 1. Let p be z(0). Let s = p - -5. Suppose 4 = s*u - 4*u. Solve -2 = u*h + 2*a - 3*a, a + 4 = 0 for h.", "output": [ "-3" ] }, { "id": "task835-999851e62a5640a99274c8d5a6224180", "input": "Two letters picked without replacement from hppfa. Give prob of sequence hf.", "output": [ "1/20" ] }, { "id": "task835-3faaebd9d01145eea525f52a25cd76ec", "input": "Let c = 22 - 19. Suppose c*g + 83 = 395. What is the greatest common divisor of g and 13?", "output": [ "13" ] }, { "id": "task835-33a68e4e843d47c6b49ff2b2ec1e65cc", "input": "Divide -1350 by 5.", "output": [ "-270" ] }, { "id": "task835-ac0d515377b54f3dba495f0c0f5d8e7c", "input": "Solve 15 = -3*s + 3 for s.", "output": [ "-4" ] }, { "id": "task835-92fd3e576c6844e097d946ec236adebf", "input": "What is prob of sequence rtri when four letters picked without replacement from {i: 5, r: 5, e: 7, t: 1}?", "output": [ "5/3672" ] }, { "id": "task835-04dfce41b74a4683af56bd006935b860", "input": "In base 9, what is -6 + 4568?", "output": [ "4562" ] }, { "id": "task835-3357ffe70cba4404b5133f0b42fd32b6", "input": "What is the next term in 18109, 18111, 18113, 18115, 18117, 18119?", "output": [ "18121" ] }, { "id": "task835-c26a834881144d7b9ef1145cd275baaf", "input": "Four letters picked without replacement from pipippytatyppppeeptp. Give prob of sequence teye.", "output": [ "1/9690" ] }, { "id": "task835-f2525d4cf20f4145a5382654959dc4d0", "input": "Suppose -1 = j - 13. What is the remainder when j is divided by 5?", "output": [ "2" ] }, { "id": "task835-388d3a6a8af145eea7773fc754918aa1", "input": "What is 6/5 of a century in decades?", "output": [ "12" ] }, { "id": "task835-7aad86ca5cf4413386ca6a2bd0b7c9f4", "input": "Convert 39934.71m to micrometers.", "output": [ "39934710000" ] }, { "id": "task835-3077a31e70ef486d80993f767f0b34d2", "input": "Let b = 42 - 19. Calculate the remainder when 112 is divided by b.", "output": [ "20" ] }, { "id": "task835-f8112a75cc944d538c2c8a81238fc29b", "input": "Let z = 49 - 24. Calculate the greatest common factor of z and 25.", "output": [ "25" ] }, { "id": "task835-c091e2a7d4fb421a9430d931a720d4a0", "input": "Two letters picked without replacement from eevppbtvtfebve. What is prob of sequence bp?", "output": [ "2/91" ] }, { "id": "task835-c9dd187d13744b7488a3abec14df6a57", "input": "Solve o + 15 = -3*g + 13, 0 = 3*g - 3 for o.", "output": [ "-5" ] }, { "id": "task835-e6d40880fcfb471181681615748d9038", "input": "What is the next term in 404, 818, 1232, 1646, 2060?", "output": [ "2474" ] }, { "id": "task835-79994b71ac104d73bd7e880e8e0535b0", "input": "What is 28.66276 days in weeks?", "output": [ "4.09468" ] }, { "id": "task835-3ee4fd1407f5470a9e1369cf1555bab9", "input": "What is the next term in 8, 38, 82, 134, 188, 238, 278, 302?", "output": [ "304" ] }, { "id": "task835-652c5ef92a8247b787e9bbc4902a0058", "input": "Suppose -10*f + 12*f = 124. Calculate the remainder when f is divided by 22.", "output": [ "18" ] }, { "id": "task835-fbe9b9543e264001ab232cee6d73cf6a", "input": "Two letters picked without replacement from amstsasssaaustmmm. Give prob of sequence ut.", "output": [ "1/136" ] }, { "id": "task835-4c93500906574c919b4415025a206be8", "input": "How many days are there in 4/7 of a week?", "output": [ "4" ] }, { "id": "task835-f8e992b846d24b7bb27c7edac0d6d25d", "input": "What is 6234.21 hours in milliseconds?", "output": [ "22443156000" ] }, { "id": "task835-74493eb29473466a96f8517da1b5436b", "input": "Calculate the remainder when -4*2/4*(2 - 43) is divided by 206/10 + (-4)/(-10).", "output": [ "19" ] }, { "id": "task835-9aca582b956346f48d0a4d4b0304bc11", "input": "What is the product of 91 and -4?", "output": [ "-364" ] }, { "id": "task835-58462b33fbee4759aa5cbf9b43e11bf6", "input": "Two letters picked without replacement from gga. Give prob of sequence ga.", "output": [ "1/3" ] }, { "id": "task835-4f6a8874ede64dbda58f2bb5c39dc548", "input": "What is 3907 to the power of 1/9, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-df8681fb184c4248a7b4a2d755dd331a", "input": "Calculate 12810 - -2.", "output": [ "12812" ] }, { "id": "task835-eb45360e4356402d8eefd3ef4223bb92", "input": "Two letters picked without replacement from yjiywqyyy. Give prob of picking 1 j and 1 w.", "output": [ "1/36" ] }, { "id": "task835-05f3e9b3d80945b48664e8b05896cb47", "input": "Let p = -7513 - -3463. Let h = 32493/8 + p. Calculate the common denominator of 77/20 and h.", "output": [ "40" ] }, { "id": "task835-32f6f38857c64b16bde3832acb81a9b5", "input": "What is prob of sequence xxs when three letters picked without replacement from xsxssxxsxxxxs?", "output": [ "70/429" ] }, { "id": "task835-4bf124b96e5c4f4d9899882d4608969b", "input": "Solve -6*m - 60 = 6*m for m.", "output": [ "-5" ] }, { "id": "task835-e0fa9f9ffe0f4b3c8217019af2cbec0b", "input": "Let n(j) = 5*j**3 - j**2 + 2*j - 1. Let u be 7/9 - 6/(-27). Let v be n(u). Calculate the greatest common factor of 1 and v.", "output": [ "1" ] }, { "id": "task835-70bd2a2ac5774fb49ffb5d864f09f2c8", "input": "Let v = 0 - -4. Suppose -u = -5*k - 5, -4*u + 9*k = v*k - 20. Let j = u + -1. What is the units digit of j?", "output": [ "4" ] }, { "id": "task835-ba33c16272a24449b0240d74b1f09451", "input": "What is 1021 plus 2770?", "output": [ "3791" ] }, { "id": "task835-ac65b1431df8441994235f09c1edf68e", "input": "Calculate prob of picking 2 g when two letters picked without replacement from geeeteeeeg.", "output": [ "1/45" ] }, { "id": "task835-16afc9adb7604c84bb38922c2293d028", "input": "What is three eighths of a millimeter in micrometers?", "output": [ "375" ] }, { "id": "task835-cfeb21e1199744deaa91298da6bc2509", "input": "Three letters picked without replacement from okjllaaio. Give prob of sequence okl.", "output": [ "1/126" ] }, { "id": "task835-a673dbae188c430491da181a6cc87bed", "input": "Suppose -24 = c - 5*c. Let d be 6 + 0 + (-6)/c. Solve -d*t + 2 = 2*k + 9, -2 = 2*t for k.", "output": [ "-1" ] }, { "id": "task835-7e04619f42c848aab6b34d1120927abf", "input": "Three letters picked without replacement from {p: 3, t: 1, e: 8, i: 1, w: 4}. Give prob of picking 2 p and 1 t.", "output": [ "3/680" ] }, { "id": "task835-7c583a76a9544f43b285080626a6d884", "input": "What is prob of sequence cs when two letters picked without replacement from {f: 4, c: 1, w: 1, g: 1, s: 2}?", "output": [ "1/36" ] }, { "id": "task835-ab1e6b5fdada474a92c8604f5976009b", "input": "What is 5/4 of a litre in millilitres?", "output": [ "1250" ] }, { "id": "task835-59ef76cb507a4ec8ba1264176657b088", "input": "9 + (3 + 3 - 14)", "output": [ "1" ] }, { "id": "task835-ae3c279375184cff86ebeceb746926be", "input": "What is 57438.32 weeks in minutes?", "output": [ "578978265.6" ] }, { "id": "task835-685041aae12a44c0aaf33cb969ec2086", "input": "Four letters picked without replacement from {g: 2, y: 4, i: 1, k: 4}. Give prob of sequence kyik.", "output": [ "1/165" ] }, { "id": "task835-d6176b6b45a1404ba0c11a83c908438c", "input": "Suppose 39 = -2*d + 5*d. What is the greatest common factor of d and 52?", "output": [ "13" ] }, { "id": "task835-b28f64db0a724c0bbaf1ae627f7b24bb", "input": "What is one quarter of a millennium in months?", "output": [ "3000" ] }, { "id": "task835-9b345bfea4044fcfbf9c93e5be47feb4", "input": "How many minutes are there in 1/5 of a hour?", "output": [ "12" ] }, { "id": "task835-716e4d9024b64f7eb72a514fe257066f", "input": "Work out -46 * -5.", "output": [ "230" ] }, { "id": "task835-7852836d37ee421aa5ab5a499cd372bb", "input": "What is -5 + -1 + 6 + -3?", "output": [ "-3" ] }, { "id": "task835-aa461d9f17b5420c86446250114f5842", "input": "What is the value of (-16)/(-7) - (-24)/(-84)?", "output": [ "2" ] }, { "id": "task835-afa2fdf3a29845aeb920d514bfffa94e", "input": "What is prob of picking 3 t and 1 b when four letters picked without replacement from {t: 5, b: 3}?", "output": [ "3/7" ] }, { "id": "task835-de65a388f0fd4f1eb47a88f40eb98ee4", "input": "What is the next term in -456, -1832, -4130, -7356, -11516, -16616, -22662?", "output": [ "-29660" ] }, { "id": "task835-5b931c50baaf45fb912248164cc2a0b2", "input": "Let r(m) = 2*m**2 + 5*m + 2. Let s be r(-3). Let y(l) = l. Let n be y(s). Suppose d - n = -2*a, -4*d - 3*a + 18 = -d. What is the units digit of d?", "output": [ "7" ] }, { "id": "task835-9736f78c0f5d467f8667f58be7ecb895", "input": "Three letters picked without replacement from ddpmmmppfmmdmmpfp. What is prob of sequence pdf?", "output": [ "1/136" ] }, { "id": "task835-7e753cc4e38e4af1a609fb1b58b347d6", "input": "Solve 9*v = 4*v + 3*f + 29, -3*f = 3*v - 3 for v.", "output": [ "4" ] }, { "id": "task835-7a949f55649e4984ae1110593394bf98", "input": "Suppose 2*a - 2*r - 3*r = 9, 5*r - 3 = a. Suppose 0 = -3*p - p + a. Solve 5*d - t = 4*t, p*d = -3*t + 30 for d.", "output": [ "5" ] }, { "id": "task835-53d43307fa7a4a8d8c3be63a8e6afe07", "input": "What is 1699 to the power of 1/6, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-45c5b0065cff4a2f84930917b5a7b2b1", "input": "What is prob of picking 3 o and 1 p when four letters picked without replacement from pooooopppppoo?", "output": [ "42/143" ] }, { "id": "task835-0713617245a444fe8df8998b5ffa1ebb", "input": "What is the next term in -23, -31, -59, -119, -223?", "output": [ "-383" ] }, { "id": "task835-fbbd7b1449d44bda8aeada8cfec4e38d", "input": "What is thirty-one halves of a litre in millilitres?", "output": [ "15500" ] }, { "id": "task835-848c2036a9d44e5b95d7e9c709c56e7c", "input": "How many centimeters are there in one fifth of a meter?", "output": [ "20" ] }, { "id": "task835-04b950f1f91d4822b2d7fa5d05c9d5ec", "input": "What is fifty-four fifths of a litre in millilitres?", "output": [ "10800" ] }, { "id": "task835-ee8c430235d34b11aedd6e61b149504e", "input": "Let a = 18 - 18. Solve -4 = -u, 2*v + 2 = 3*u - a for v.", "output": [ "5" ] }, { "id": "task835-f3c0210d371e4ebd8bb77c90243e44f9", "input": "In base 10, what is -1 - -239?", "output": [ "238" ] }, { "id": "task835-2568a69fffb042148c3e9ded29dbde74", "input": "Calculate prob of sequence se when two letters picked without replacement from {e: 5, s: 5}.", "output": [ "5/18" ] }, { "id": "task835-0cb2f2af87014a07ba3e366877bfa99a", "input": "In base 6, what is -30 - 245?", "output": [ "-315" ] }, { "id": "task835-fcfd3f9560d244c3972766289f07eee1", "input": "What is 85.89907t in micrograms?", "output": [ "85899070000000" ] }, { "id": "task835-93fbb73be66e49beb3609c70a734b106", "input": "Convert 4.473208um to kilometers.", "output": [ "0.000000004473208" ] }, { "id": "task835-8319af3ed4994656a6e140262e72c788", "input": "What is prob of sequence mmn when three letters picked without replacement from mnnnnmmznndznndndmn?", "output": [ "20/969" ] }, { "id": "task835-57b0163da8274464a210fcab2ff6c579", "input": "Work out 43836.1 + -33.", "output": [ "43803.1" ] }, { "id": "task835-09021307d32e4aec95b6f6d2137562ea", "input": "What is the common denominator of -1 + 1 + (-1016)/(-384)*4 and 33/8?", "output": [ "24" ] }, { "id": "task835-066ba9805ac34cbf8fbd416a081f3ada", "input": "How many millilitres are there in five eighths of a litre?", "output": [ "625" ] }, { "id": "task835-b99cb95fac9b41cea1e105858d0e5fa5", "input": "How many seconds are there in 1/18 of a day?", "output": [ "4800" ] }, { "id": "task835-35edc0eb6a9f43a59e6d192a3c646703", "input": "What is the next term in 2, 71, 194, 377, 626?", "output": [ "947" ] }, { "id": "task835-1e0a97f01a32468abd7aeab3014765cf", "input": "What is prob of picking 1 u, 1 v, and 1 o when three letters picked without replacement from ovuvvuyovuuovuuouuou?", "output": [ "15/76" ] }, { "id": "task835-e73afe07136648d8b9f96ee8884c098e", "input": "What comes next: 59, 84, 121, 170, 231?", "output": [ "304" ] }, { "id": "task835-0ca7e3bca8374fc4b65bae0840212ff0", "input": "Suppose -5*f = 456 - 16. What is the common denominator of (-262)/f + 3/12 and (292/8)/(6 - 0)?", "output": [ "132" ] }, { "id": "task835-5b24df01356a44bbbbc81b65ed7cc72e", "input": "Suppose 2*b - 3*x - 17 = 0, -13*b + x + 59 = -9*b. What is the least common multiple of 7 and b?", "output": [ "112" ] }, { "id": "task835-ef8dad745d6443718eaad85e00eba11a", "input": "Four letters picked without replacement from arkkallleaakkkra. What is prob of sequence lkak?", "output": [ "5/728" ] }, { "id": "task835-5242d70f5b91484396fe8980160e9475", "input": "Two letters picked without replacement from {t: 1, w: 4, d: 1, j: 2, a: 2}. Give prob of picking 1 a and 1 w.", "output": [ "8/45" ] }, { "id": "task835-9013ebabb1674fc98ed93d7c54c12fef", "input": "Let f(y) = -y**3 + 5*y**2 + 6*y + 5. Let v be f(6). Suppose 123 = v*q - 52. What is the remainder when q is divided by 18?", "output": [ "17" ] }, { "id": "task835-84954d73b2cd488f9dfa90a20cadd6ae", "input": "Let n be (-20)/(-130) + (-282)/(-26). Let w = -58 + 113. Calculate the greatest common divisor of w and n.", "output": [ "11" ] }, { "id": "task835-4810d11738cd487a9f16e36296c8fe17", "input": "Let f be 2 + 0 - ((-16)/(-4))/4. Let a = -3 + 10. Let h = a - f. Solve 2*z + z + h = 0 for z.", "output": [ "-2" ] }, { "id": "task835-f117355e2c834299ba803efdca065398", "input": "What comes next: 267, 1071, 2411, 4287, 6699?", "output": [ "9647" ] }, { "id": "task835-95197af3bbca4d8fab9f13b0b64f1944", "input": "Convert 9.95383km to centimeters.", "output": [ "995383" ] }, { "id": "task835-25a2e352b58b467da93385f15c5acebf", "input": "What is the cube root of 1055 to the nearest integer?", "output": [ "10" ] }, { "id": "task835-2a06d43a9c5c475ebb6cfd268fcfe6b7", "input": "Suppose 0*q + 8 = 2*q. Suppose 0 = 5*a - 2 - 8. Let r(j) = -j**2 - 7*j - 6. Let h be r(-5). Solve -h*l - 10 = l, -a*l = -2*c + q for c.", "output": [ "0" ] }, { "id": "task835-736d88a9618c4d609fcc06290fb32008", "input": "What is 5611 to the power of 1/3, to the nearest integer?", "output": [ "18" ] }, { "id": "task835-26fa08b193164a239fcbbda3a33cb224", "input": "-387 divided by 29", "output": [ "-387/29" ] }, { "id": "task835-37d317cf644d4daf86009404adc528a3", "input": "Let q be 2/4 - (-438)/4. Let b be 2/(-4) - (-21)/2. What is the greatest common divisor of q and b?", "output": [ "10" ] }, { "id": "task835-d8c305dc4a33438483eb67b88f092bda", "input": "What is prob of picking 1 k and 1 t when two letters picked without replacement from ttktktttktttkw?", "output": [ "36/91" ] }, { "id": "task835-23563bc2dd9643dd816629800c2a355d", "input": "Solve 4*n + 20 = -n for n.", "output": [ "-4" ] }, { "id": "task835-879d9b2a58674cbd8f12782e2d63db39", "input": "What comes next: 2209, 4422, 6635, 8848, 11061, 13274?", "output": [ "15487" ] }, { "id": "task835-0def9df8541342f8a2b1a98021671d27", "input": "Calculate -14 - -5 - -8 - (3 + -1).", "output": [ "-3" ] }, { "id": "task835-af831c28273e46b2836f98e87cd93da0", "input": "Solve 9 - 4 = y for y.", "output": [ "5" ] }, { "id": "task835-63e2f191e22942998226499a19f325c2", "input": "Let b = 40 + -18. Calculate the least common multiple of 42 and b.", "output": [ "462" ] }, { "id": "task835-4d83382c1ff74c86a534485340e2eafe", "input": "Suppose -k = -31 + 3. Solve -4*j + 0*y = -3*y + 29, 5*j + k = y for j.", "output": [ "-5" ] }, { "id": "task835-7614e3b43725430b93836c02f6bfc5d7", "input": "Let d be (-2)/(-7) - 94/(-14). Let f = -10 + 5. Let i = d + f. Solve 5*j = i*j - 3 for j.", "output": [ "-1" ] }, { "id": "task835-d59539e1e18a427d9b30880f8d829bc4", "input": "Let n = -63 + 79. What is the remainder when 25 is divided by n?", "output": [ "9" ] }, { "id": "task835-3e3b31cc53e94a9c93f0558192e65f54", "input": "Evaluate (1/(-12))/((-18)/(-27)).", "output": [ "-1/8" ] }, { "id": "task835-88925e67587f45bbb81bee0dae7c4147", "input": "How many kilograms are there in 1/20 of a tonne?", "output": [ "50" ] }, { "id": "task835-9983dc7923434c2eac6e5b9a18bc2dc0", "input": "What is the value of ((-50)/(-30))/(2/6)?", "output": [ "5" ] }, { "id": "task835-61205e75b17d47a2b9ef638cd3f161b3", "input": "Work out 15 + 908.2.", "output": [ "923.2" ] }, { "id": "task835-8a7f5dcf6b38440b8a39b17fc1e4180a", "input": "Let p(b) = -b**2 + 8*b + 9. Let u be p(7). Suppose 3*n = i + 9, -u = -2*i - 2*i - n. What is the units digit of i?", "output": [ "3" ] }, { "id": "task835-45701377da53412485ecdcfeef20ecf0", "input": "What is thirteen quarters of a litre in millilitres?", "output": [ "3250" ] }, { "id": "task835-581f14e0df344bfca5b5551d6043c9f1", "input": "Calculate prob of picking 2 q when two letters picked without replacement from qbbbbqbbqqpbpqbbq.", "output": [ "15/136" ] }, { "id": "task835-66225a728d624feb87f2612200e3478f", "input": "Suppose -w = 0, -1 = -m + w + 17. Calculate the highest common factor of m and 45.", "output": [ "9" ] }, { "id": "task835-9d807d7801c14c648acbaf803455cad8", "input": "Let y = 15 + -10. What is the remainder when 21 is divided by y?", "output": [ "1" ] }, { "id": "task835-c310694af33d4624a5b27e5ac01f1ae2", "input": "Convert 188.6191 grams to milligrams.", "output": [ "188619.1" ] }, { "id": "task835-f2125b8129134d3db2d5c2c5015eac16", "input": "Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, n: 3}.", "output": [ "4/35" ] }, { "id": "task835-ee5674cd6cce4a1ca3978f3d89651e03", "input": "Two letters picked without replacement from qiqiqiiiqqtiiq. What is prob of sequence qi?", "output": [ "3/13" ] }, { "id": "task835-1f15900876914e7c87b76446f8408b3f", "input": "Let v = 15 + -10. Suppose v*w - 2*z = z + 90, -z = w - 26. What is the tens digit of w?", "output": [ "2" ] }, { "id": "task835-e4fa56e469d84cdf8449e0d4a64c7b27", "input": "Solve -4*o - 3*r - 3 = 14, 2*o - 2*r = 16 for o.", "output": [ "1" ] }, { "id": "task835-e1cb24e7ac5a4b3482aeed7efe291f88", "input": "How many months are there in fifty-four fifths of a century?", "output": [ "12960" ] }, { "id": "task835-e6a43e37b6e94ed78b3d1288aa5db562", "input": "Calculate prob of sequence oio when three letters picked without replacement from {s: 1, t: 1, i: 7, o: 4}.", "output": [ "7/143" ] }, { "id": "task835-fb731ff4802043a389397d0a5a15d3c2", "input": "Suppose 0*a + 134 = a. What is the remainder when a is divided by 27?", "output": [ "26" ] }, { "id": "task835-a92946f13ef7487dada1d12ab738a7be", "input": "Let f(g) = -4*g + 1. Let h be (-2)/(-3) + 273/9. Let a = h - 18. What is the remainder when a is divided by f(-1)?", "output": [ "3" ] }, { "id": "task835-8b4194f287d844ecbc5210fd96cd103a", "input": "Suppose -f + 5*f - 119 = -5*w, 4*f = -16. Calculate the highest common factor of 3 and w.", "output": [ "3" ] }, { "id": "task835-718220cf7d6f4b22beaa74a5f631e9a5", "input": "What is three tenths of a millisecond in microseconds?", "output": [ "300" ] }, { "id": "task835-0f3a35e6495d44858ac625aa52f4640a", "input": "How many micrometers are there in 36.01521 nanometers?", "output": [ "0.03601521" ] }, { "id": "task835-ca693a8996944c5791cc0456130e9f27", "input": "What is 1/24 of a century in months?", "output": [ "50" ] }, { "id": "task835-d3ea1384696f4e22bcaff678c1d71af1", "input": "Solve 0 = 5*f - 3*b - 10, 4*f + 2*b - 11 = 5*b for f.", "output": [ "-1" ] }, { "id": "task835-86735ae2c01d43b38c877d55457da29e", "input": "What is ((-2)/(-4))/(9/(-18))?", "output": [ "-1" ] }, { "id": "task835-1faeb011778b49e6b28b77bfa008bcbe", "input": "What is the next term in 51, 64, 123, 252, 475, 816?", "output": [ "1299" ] }, { "id": "task835-5ac89cd345ff4d1f9ce87f14f2e2afbd", "input": "Let h = 2 + -7. Let s(c) = c**3 + 5*c**2 - 3*c - 4. Let o be s(h). Let n = o + -5. What is the units digit of n?", "output": [ "6" ] }, { "id": "task835-592f9f3dec764e89bbdb70d122370754", "input": "How many litres are there in 48480.7 millilitres?", "output": [ "48.4807" ] }, { "id": "task835-b0ef6557cffd4138b179b4482b44c6e6", "input": "What is 27/2 of a litre in millilitres?", "output": [ "13500" ] }, { "id": "task835-86acc092ac8043399590c9c108c60057", "input": "Let k be (0/(-4 + 7))/1. Solve k = -o - 8 + 3 for o.", "output": [ "-5" ] }, { "id": "task835-925c481c5d954be9b96249fc15b9b03f", "input": "What is 1/5 of a gram in milligrams?", "output": [ "200" ] }, { "id": "task835-1068892a76bb4b0aa02dcfb4f82fa817", "input": "Solve x + 5*f = 15, -4*f = 7*x - 3*x - 12 for x.", "output": [ "0" ] }, { "id": "task835-31a5322cb54c4d018479c824d7632023", "input": "Let f(c) = 53*c + 6. Let p be f(3). What is the highest common divisor of p and 15?", "output": [ "15" ] }, { "id": "task835-741d4948c41349429166cd7dd86a4ca8", "input": "Divide -180 by -45.", "output": [ "4" ] }, { "id": "task835-cd91d29eaf304e9994be9320fe555160", "input": "What is 39925.01 microseconds in milliseconds?", "output": [ "39.92501" ] }, { "id": "task835-c617618f8c5d4fdf8182fa31b9209511", "input": "Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 10, j: 2, b: 2}.", "output": [ "20/91" ] }, { "id": "task835-b0e85086a0e747179d3e50af7e6ea0d2", "input": "Suppose 70 = -0*j + 5*j. What is the least common multiple of 18 and j?", "output": [ "126" ] }, { "id": "task835-3f1d1e7419d4467db751739c19b2dc4a", "input": "What is the cube root of 9440 to the nearest integer?", "output": [ "21" ] }, { "id": "task835-8551936bb54d4ebc96e5f4edacad115e", "input": "Let h = -20 + 24. Let g be ((-12)/15)/(h/(-50)). Calculate the greatest common divisor of g and 5.", "output": [ "5" ] }, { "id": "task835-4847fc4fc2fd47fd92fb5d9b26a67e16", "input": "Convert 68.74243 decades to months.", "output": [ "8249.0916" ] }, { "id": "task835-986a5e70649a4f14bc94eec65b5a7381", "input": "Solve -9*j - 2*n = -11*j + 4, -6*j = 2*n - 20 for j.", "output": [ "3" ] }, { "id": "task835-2747426a7c9a499a855d9667addc157c", "input": "What is next in 112, 226, 346, 472, 604, 742?", "output": [ "886" ] }, { "id": "task835-35e17002079f42a78e3e9bcbcb9d37f8", "input": "How many millilitres are there in 18/5 of a litre?", "output": [ "3600" ] }, { "id": "task835-5f771c62adc045de9ec59add7ed8b786", "input": "Convert 381.3197l to millilitres.", "output": [ "381319.7" ] }, { "id": "task835-bbb3019fc81a4b7dbd62cbe22a424eff", "input": "What is the ninth root of 172 to the nearest integer?", "output": [ "2" ] }, { "id": "task835-55a69b620be643aab237d999b196535f", "input": "Let d(x) = -47*x**3 + x**2 - x - 1. Let p be d(-1). Calculate the highest common divisor of p and 12.", "output": [ "12" ] }, { "id": "task835-ec8fb2a733994112b925ffa58e49a800", "input": "What is 258875.4 centuries in decades?", "output": [ "2588754" ] }, { "id": "task835-a58f824069e34b7896958582fe380484", "input": "Suppose 4*z - 39 = 5. Calculate the remainder when z is divided by 6.", "output": [ "5" ] }, { "id": "task835-133a486958204c4798300bce4c5bae65", "input": "Suppose -3*o + 49 - 7 = 0. Suppose 4*w = -l - o, -5*w - 43 = -3*l - 0*l. Solve 4*m - 2 = l for m.", "output": [ "2" ] }, { "id": "task835-ab0a891898d7493ab0b52a9b23e5e096", "input": "Two letters picked without replacement from apxpppaadx. Give prob of sequence aa.", "output": [ "1/15" ] }, { "id": "task835-5312d73973914a7f80c6c36adb4e70bd", "input": "Suppose 2*i = i + 10. What is the tens digit of i?", "output": [ "1" ] }, { "id": "task835-0d995333326047819cb10ff059917e55", "input": "In base 10, what is 2 - -137?", "output": [ "139" ] }, { "id": "task835-9f673efc0f0b4592bf8436a38b986336", "input": "Let k = -32342 - -98261/3. Let v = k + -423. Find the common denominator of 79/2 and v.", "output": [ "6" ] }, { "id": "task835-2f47d1b2bfc2433187073e8fbae5fb5b", "input": "How many hours are there in 33.13809 seconds?", "output": [ "0.009205025" ] }, { "id": "task835-114b715ef92143328482d4d815ed019d", "input": "What is 9093 divided by -1299?", "output": [ "-7" ] }, { "id": "task835-045eb81b82db4d538d239ff2b50ed2a2", "input": "Let r be 5722/(-1554) - 1/3. Let b = 57/74 - r. What is the common denominator of 49/20 and b?", "output": [ "140" ] }, { "id": "task835-41e0bdb75cdc40578b320ddb643e4c08", "input": "Three letters picked without replacement from {h: 2, d: 2}. What is prob of picking 1 d and 2 h?", "output": [ "1/2" ] }, { "id": "task835-cc3475b3613543e28815c33e1204a3f6", "input": "Suppose 2*k - 5 = 5. Suppose -4*a = -5*w + 30, 2*w - w - 15 = -a. Let v = w - 6. Calculate the remainder when k is divided by v.", "output": [ "1" ] }, { "id": "task835-c13bd245eac2425c8289867f518ee765", "input": "What is the next term in 1097, 2189, 3283, 4379, 5477, 6577?", "output": [ "7679" ] }, { "id": "task835-5fa61d1c07b240cbb0b9ffbc15dc1dfa", "input": "How many millilitres are there in 1/20 of a litre?", "output": [ "50" ] }, { "id": "task835-97edbd64e45a4514aea14187c7107de6", "input": "Two letters picked without replacement from dmmkpmkkkmmdqqkmpd. What is prob of picking 2 p?", "output": [ "1/153" ] }, { "id": "task835-6b74f7175d214220bc0d53a41e0b344d", "input": "Let x(q) = -7*q - 32. What is the tens digit of x(-13)?", "output": [ "5" ] }, { "id": "task835-9508c20e5c8a416d99be3c2c3ff33d9a", "input": "What is next in -229, -247, -265?", "output": [ "-283" ] }, { "id": "task835-053b9b7b915a4c84808f5ee7a1dbb4ed", "input": "Suppose r - 60 = -r. Let o = -66 - -30. Let x = -20 - o. What is the remainder when r is divided by x?", "output": [ "14" ] }, { "id": "task835-9b1fff724b4d4ccfa9966b0e94db1754", "input": "Calculate prob of picking 2 k and 1 m when three letters picked without replacement from kkkmkkm.", "output": [ "4/7" ] }, { "id": "task835-83a968d4ed3049e49e857f61fcf61cda", "input": "Suppose -2*u + 4*w = -0*w - 88, -4*u = -2*w - 170. What is the tens digit of u?", "output": [ "4" ] }, { "id": "task835-8367efc3e0744de2a628d840519af0bf", "input": "Let q(w) = w**3 - 7*w**2 - 9*w + 10. Let p be q(8). Suppose -32 = -4*g - 3*a, -2*a - 3 = -p*g - 1. Solve -g + 3 = t for t.", "output": [ "-2" ] }, { "id": "task835-42cbfae4e93d45b6af231502db8b08f4", "input": "What is 2.050352 tonnes in milligrams?", "output": [ "2050352000" ] }, { "id": "task835-ef6bb0f78ad843269735059b85db3f38", "input": "Let l = 17 - 9. Calculate the smallest common multiple of l and 14.", "output": [ "56" ] }, { "id": "task835-5576c3d947d04e46bc5e8f1b82a1ddba", "input": "Convert 343372.3cm to meters.", "output": [ "3433.723" ] }, { "id": "task835-b6a6e8436bcc4e4190090ac1f9661eec", "input": "Suppose -16 = 4*q - 0*q. Let z be (-50)/q + (-1)/(-2). Suppose -2*a + 37 = -67. Calculate the greatest common factor of z and a.", "output": [ "13" ] }, { "id": "task835-e0503b5ae10b4b1faa4b95c5fb95908b", "input": "What is the units digit of 6 + -4 + (-4 - -203)?", "output": [ "1" ] }, { "id": "task835-98fd2b4c12f045709c3003a58b7d1311", "input": "Suppose q + 3*d + 13 = -0*q, 2*q + d = -6. Let i = q + 10. Calculate the highest common divisor of 9 and i.", "output": [ "9" ] }, { "id": "task835-86f6cc41589044fab4a7ac202df41b17", "input": "Let r be 4 + (-18)/3 - -4. Solve r*n + 5 + 1 = 0 for n.", "output": [ "-3" ] }, { "id": "task835-ef16c4e62aea420cab1706f4d56142e3", "input": "Let p be 1 + 0 - 0 - -1. Suppose -36 = 3*o - 5*o - 4*c, -5*o = p*c - 82. Suppose v - 188 = -4*v + 3*g, -o = -4*g. What is the remainder when v is divided by 21?", "output": [ "19" ] }, { "id": "task835-a432f02d18604dc78c69463dffecb628", "input": "(60 - 54) + -5 + -2", "output": [ "-1" ] }, { "id": "task835-6ca90f93e5da4f21900ca96a3875bdbf", "input": "What is the next term in -53, -51, -49, -47, -45, -43?", "output": [ "-41" ] }, { "id": "task835-87841b15be9145f5b85e180ae5d72a33", "input": "Calculate prob of sequence oqv when three letters picked without replacement from {o: 1, v: 2, q: 1}.", "output": [ "1/12" ] }, { "id": "task835-93af0217e8ed4b468a3c8836321f7e51", "input": "Solve -4*j = -7*j - q + 5, 3*j - 5*q + 7 = 0 for j.", "output": [ "1" ] }, { "id": "task835-d84d52d6134545fbb960a91a00a3af7d", "input": "Suppose -2*n - 8 = -4*o - 0*o, 2*n = 5*o - 13. Solve 0 = 2*q - 0 + n for q.", "output": [ "-3" ] }, { "id": "task835-4bfa596c7a284e56b1e7695ce3d4ddc4", "input": "Let f be -1*3*(-4)/12. Find the common denominator of ((-5)/22)/((-6)/60) and f/((-5)/(-56)) + -1.", "output": [ "55" ] }, { "id": "task835-25c9ee2e7cf24980892e88df37ca871b", "input": "What is prob of picking 1 u and 3 h when four letters picked without replacement from {r: 3, m: 4, h: 3, u: 1}?", "output": [ "1/330" ] }, { "id": "task835-16a5c906779446268da92b3365e99204", "input": "Let h be (-78)/(-24) + (-3)/12. Suppose h*z - 42 = -z + 2*f, z = f + 8. What is the remainder when 24 is divided by z?", "output": [ "11" ] }, { "id": "task835-dbc7541ab47f49b4b160a42c5a74ac98", "input": "Convert 155.2289 millennia to months.", "output": [ "1862746.8" ] }, { "id": "task835-8595b756848041e2a834fdc221fd0733", "input": "How many nanoseconds are there in five quarters of a microsecond?", "output": [ "1250" ] }, { "id": "task835-5283cd6bfd9e4864afd2c74ddd43c0d1", "input": "What is prob of sequence by when two letters picked without replacement from yooooyoybb?", "output": [ "1/15" ] }, { "id": "task835-d429b75a342e4e84bc64d26b2ac39178", "input": "Calculate prob of sequence vooo when four letters picked without replacement from ovvvovvv.", "output": [ "0" ] }, { "id": "task835-f2252c9bc5524c82b607a6a2e3c61421", "input": "What is 4*(-2)/2*1/18?", "output": [ "-2/9" ] }, { "id": "task835-76edc02076b4458d94a7e3e7e61605e0", "input": "Let x(k) = k**2 + 0*k - 5*k - 1 + k. What is the remainder when x(6) is divided by 6?", "output": [ "5" ] }, { "id": "task835-12d5a3c4508844cc839fd68d1115aa10", "input": "Solve -4*i + 2*l = -16 - 2, 0 = -i + 2*l + 3 for i.", "output": [ "5" ] }, { "id": "task835-a6767902a86343e7abe64563c0fd43ee", "input": "What is 173.7341 kilometers in micrometers?", "output": [ "173734100000" ] }, { "id": "task835-6e649733c8b34a70ae7029aaa95435c7", "input": "Let w = 6 + -11. Let r = 60 - w. Calculate the highest common factor of 13 and r.", "output": [ "13" ] }, { "id": "task835-b3922884b4f34a799a373109228499f3", "input": "What is the value of (-1)/(-3)*9/6?", "output": [ "1/2" ] }, { "id": "task835-e2e1b361d72145e4a3ff049d61ea39cd", "input": "What is 55/2 of a minute in seconds?", "output": [ "1650" ] }, { "id": "task835-244af5876b654341b4d1861c2a74f4fc", "input": "Let u = 3 - 0. Suppose c = -u*v, 5*c + 0*v = 5*v. Solve -j = -2 - c for j.", "output": [ "2" ] }, { "id": "task835-c7337f0655574177a7903fa717acad48", "input": "Let f(g) = -g**3 + g**2. Let j be f(-1). Let b be (6 - (j - 2)) + -1. Let t be (-6)/(-10) - (-648)/45. Solve 2*k = 5*k - t, 3*l = -b*k + 19 for l.", "output": [ "-2" ] }, { "id": "task835-42356d196a654212ac6969e6cee2ccf6", "input": "Let g = 3 - -7. Let f(h) = 9*h**2 + 14*h + 2. Let s be f(-4). Calculate the highest common factor of s and g.", "output": [ "10" ] }, { "id": "task835-4668d745ad9e483e981af0915320ab5c", "input": "Let t(m) = 5*m**2 - 9*m + 10. What is the units digit of t(5)?", "output": [ "0" ] }, { "id": "task835-97a475f26d3a429ebdf6eb57bcc3e426", "input": "What is next in -28, -98, -214, -376, -584, -838, -1138?", "output": [ "-1484" ] }, { "id": "task835-3a719a0ac013454c8d395f2b92871a86", "input": "Suppose 0*m - 59 = -g - 3*m, g - 62 = -4*m. What is the tens digit of g?", "output": [ "5" ] }, { "id": "task835-67383a80dcb74a6a88a5ed3d54ba8d54", "input": "What is 7218.802 days in seconds?", "output": [ "623704492.8" ] }, { "id": "task835-a1a99a3b51ee4f42b35f988af2edb36d", "input": "Calculate prob of sequence kkhh when four letters picked without replacement from khhhhkhhkhhhkkhhhh.", "output": [ "13/306" ] }, { "id": "task835-727d9c6d9d7741d2bcb3587f321dccdf", "input": "Evaluate (0 - -4) + 0 + -4.", "output": [ "0" ] }, { "id": "task835-01bc8b7f09b6450f92ec8ffca654cc35", "input": "Solve 0 = 2*m - 3 + 5 for m.", "output": [ "-1" ] }, { "id": "task835-affc049dd54f47aea353e1dd857cb5cf", "input": "102 divided by 4", "output": [ "51/2" ] }, { "id": "task835-1d931ffa8ae5431c86be8e4930c02988", "input": "18 * 0.4", "output": [ "7.2" ] }, { "id": "task835-be921a0ba74f45659d3db544c846ed6e", "input": "Calculate 5 - 1 - (8 - (-5 - -2)).", "output": [ "-7" ] }, { "id": "task835-e0c97e7aa77f42598c476d664d77d826", "input": "What is prob of sequence wu when two letters picked without replacement from {i: 3, w: 2, q: 7, u: 3}?", "output": [ "1/35" ] }, { "id": "task835-2cc2c0d81b064b49811399eaa8581d3a", "input": "What is the next term in 126, 258, 390, 522?", "output": [ "654" ] }, { "id": "task835-56bff1a1f944458a8ad6385c18ff3dae", "input": "Solve 0 = 4*m + 11 - 7 for m.", "output": [ "-1" ] }, { "id": "task835-504b59ff3a9343cdaea943501f49cf01", "input": "What is the value of 0 - 5 - ((0 - -6) + -11)?", "output": [ "0" ] }, { "id": "task835-b58dd0d590ed40e0a3d6459e039fed92", "input": "What comes next: -444, -449, -464, -495, -548?", "output": [ "-629" ] }, { "id": "task835-742f2c8925ac475bb01c17951d34500a", "input": "Suppose -3*q - 16 = -5*q + 2*i, -4*i - 2 = -q. Let d(f) = -f**3 + 5*f**2 + f. Suppose 0 = 2*a - 5 - 3. Calculate the least common multiple of q and d(a).", "output": [ "20" ] }, { "id": "task835-b5ef25653bdb449cad44667b429f7005", "input": "Let f(l) = -l**3 + 4*l**2 - 2*l - 2. Suppose 0 = -4*y + 3 + 5. Let d be f(y). Solve d*a - w = -9, -w + 5*w = -a - 9 for a.", "output": [ "-5" ] }, { "id": "task835-64625fd9febc4b9aa853ef5f50c95ce8", "input": "Divide 92 by 2.", "output": [ "46" ] }, { "id": "task835-599417207bda44e5b1ab60c1e28ee216", "input": "Suppose 0 = 2*b - 16 + 6. Suppose -2*p - p = -39. Suppose 98 = b*n + p. What is the remainder when 33 is divided by n?", "output": [ "16" ] }, { "id": "task835-67bbc618ac5c4ba8a38b4effb0c55aa9", "input": "Let j = 12 - 10. Suppose -5*u + j*u + 9 = 0. Solve -13 = -2*g - u for g.", "output": [ "5" ] }, { "id": "task835-e040c92f9ea343d685b76d6699c043b4", "input": "In base 12, what is 154 - 4?", "output": [ "150" ] }, { "id": "task835-9a906bc704f44081a20f7f41739b9f49", "input": "Suppose 2*b + 2*b + 212 = 0. Let u = b + 93. Suppose -4*f + 75 = -3*s, -2*s - u = -2*f - 0*s. Calculate the greatest common divisor of 90 and f.", "output": [ "15" ] }, { "id": "task835-a325b86878e846e483383bcceed6dbb1", "input": "Let g(m) = -m**2 - 2*m - 1. Let h be g(-3). Let t = h - -6. What is the units digit of t?", "output": [ "2" ] }, { "id": "task835-c650af9e0e5243f2bdead50fd4a243b9", "input": "Calculate prob of picking 1 v and 1 i when two letters picked without replacement from ipvpviipvpvp.", "output": [ "2/11" ] }, { "id": "task835-7fec985e0bcd4364ad7ff001371231cd", "input": "Solve 36*u - 20 = 52 for u.", "output": [ "2" ] }, { "id": "task835-68d3b05bd46043ea8d81751b9df36015", "input": "Let r(n) = n**3 + 23*n**2 - 3*n - 49. What is the units digit of r(-23)?", "output": [ "0" ] }, { "id": "task835-c6c089d89df34cf1a81d4676edec85fe", "input": "Let n = 42847/5850 + 21/325. Let i be (-4)/(-26) + (-13986)/(-858). Let k = 1457/132 - i. Calculate the common denominator of n and k.", "output": [ "36" ] }, { "id": "task835-116b2b0099e6436abeb04133d280badf", "input": "0.3+0.0542", "output": [ "0.3542" ] }, { "id": "task835-af51c4ea8ad04c8381090669e8aff547", "input": "Calculate -162 divided by -1.", "output": [ "162" ] }, { "id": "task835-0bc923b7cd654f5ca845b3859c950154", "input": "Suppose 3*t - t - 4 = 0. Let g(q) = 4*q**3 + q**2 - 2*q + 1. Let r be g(1). Suppose 30 = r*c - t. Solve c*i - 3*i = 20 for i.", "output": [ "4" ] }, { "id": "task835-3b21563e5bc243daa5bc3f7b86a59635", "input": "Three letters picked without replacement from yswwkssksarw. What is prob of picking 1 r, 1 w, and 1 a?", "output": [ "3/220" ] }, { "id": "task835-9dfbf302aa0a42da96cf55823c0e56ae", "input": "What is 0 + 5 - 15 - -5?", "output": [ "-5" ] }, { "id": "task835-6f22c4f52fd0415eb14abc511bf9dbf8", "input": "Let w(k) = 15*k**2 - k. Calculate the lowest common multiple of w(-1) and 6.", "output": [ "48" ] }, { "id": "task835-5da157362e4f40968644ab52b181611e", "input": "How many years are there in thirty-three fifths of a century?", "output": [ "660" ] }, { "id": "task835-213df502a1d64b03a45aff07f73d1f6b", "input": "What is the least common multiple of 40 and 2 - (-52)/(-28) - 209/(-7)?", "output": [ "120" ] }, { "id": "task835-58fd55301a2445838ef242a3432de675", "input": "How many kilograms are there in fourty-four fifths of a tonne?", "output": [ "8800" ] }, { "id": "task835-87d54d4c48ee43b180f5b98d3503f2f0", "input": "What is 4 - (4 - (-1 - 0))?", "output": [ "-1" ] }, { "id": "task835-90b8c065e0604c3cb7e4336a96fd7ce2", "input": "Solve 5*l + 21 = -5*m + 6*l, -5*l - 20 = 0 for m.", "output": [ "-5" ] }, { "id": "task835-1c60827992f24ddfb1b2277601b2c9cd", "input": "Two letters picked without replacement from qsbvbbbqqvbs. Give prob of picking 2 q.", "output": [ "1/22" ] }, { "id": "task835-32ace885d9db4c0c8344d0b7ed9a8d11", "input": "Two letters picked without replacement from {m: 5, y: 5, x: 5, i: 1}. What is prob of picking 1 i and 1 y?", "output": [ "1/24" ] }, { "id": "task835-36981b6d844f4f46a32489de1ddcbad3", "input": "What is prob of sequence tkte when four letters picked without replacement from {k: 1, l: 1, x: 1, e: 1, t: 8}?", "output": [ "7/1485" ] }, { "id": "task835-b60f45d063f6422dab7f7f3d01d66805", "input": "Work out -833 * 0.3.", "output": [ "-249.9" ] }, { "id": "task835-58e214be73264760a07a65ae161dd81c", "input": "Let d = 1 - -2. Let w be ((-10)/8)/(d/(-36)). Solve -w = 3*z + 2*z for z.", "output": [ "-3" ] }, { "id": "task835-1df73a4eab2d4a3e9083ce1e6364121b", "input": "Let j = 9 - -12. Calculate the remainder when 82 is divided by j.", "output": [ "19" ] }, { "id": "task835-a2f4740e844549029f423535fe251e9a", "input": "Let d(g) = g - 4 + 0*g - 1. Let q be 10*1 + 1 + -1. What is the units digit of d(q)?", "output": [ "5" ] }, { "id": "task835-2e02734fa52249b5854a34f29c3e944c", "input": "Let z = -4 - -6. Suppose 2*k = 16 + z. Solve 0 = -5*d + 2*d + k for d.", "output": [ "3" ] }, { "id": "task835-953f84bc74164d0eb37ba5bb843ac03b", "input": "Three letters picked without replacement from {a: 8, u: 11, g: 1}. What is prob of picking 1 a and 2 u?", "output": [ "22/57" ] }, { "id": "task835-72e904da3c9047b283f01ea60bbb4025", "input": "Two letters picked without replacement from tizkx. What is prob of sequence xk?", "output": [ "1/20" ] }, { "id": "task835-8151b41cf72a4198810ce144ef9505e2", "input": "Let n be 12/4 + (-13)/1. What is the units digit of 5/(n/(-6)) + 4?", "output": [ "7" ] }, { "id": "task835-2fe3e7c4906746929e5022d9746d0491", "input": "What is prob of sequence ggg when three letters picked without replacement from ccccggcgcgccccgcgcc?", "output": [ "20/969" ] }, { "id": "task835-9fcada17dba740e29eba6519804e621c", "input": "Solve 0 = 2*g - o - 2 + 5, -4*g = 4*o for g.", "output": [ "-1" ] }, { "id": "task835-102b92a0f97c4f75bdf8ef0f9777d257", "input": "Let b(f) = f**3 - 2*f**2 - f + 2. Let s be b(3). What is the greatest common factor of 8 and s?", "output": [ "8" ] }, { "id": "task835-7bc6654f98c14e4fb8ff5392bb1d05f5", "input": "Let l be 4/14 - 1325/7. Let g be (-1)/2 + l/(-6). Suppose 0 = 2*m - g + 11. Calculate the least common multiple of m and 6.", "output": [ "30" ] }, { "id": "task835-3704093b329d4164a6b4e12b72d0eef3", "input": "What is seven quarters of a litre in millilitres?", "output": [ "1750" ] }, { "id": "task835-07c23ad15b924580bd443d51f5aaa68c", "input": "-4 + 2 - -3 - 5 - -2", "output": [ "-2" ] }, { "id": "task835-26e28e05acc3480cb905849ed5b21446", "input": "What is -5 - -2 - ((2 - 3) + 1)?", "output": [ "-3" ] }, { "id": "task835-829c7e7ef93c407c8cad15968068e044", "input": "-107 divided by -1", "output": [ "107" ] }, { "id": "task835-b03d0aa697b4411eb47e053b21fddfd8", "input": "Suppose 0 = 5*x - 0*x - 5*a - 140, -96 = -4*x - 4*a. Let w = 6 + -6. Let u(q) = q**3 + q**2 + 7. Calculate the remainder when x is divided by u(w).", "output": [ "5" ] }, { "id": "task835-440fc7d2e75c48daaf01fbbf398ffc81", "input": "What is prob of sequence aaa when three letters picked without replacement from {a: 9}?", "output": [ "1" ] }, { "id": "task835-fab15b251c3d493dad41f9ddf1d6d1dc", "input": "Solve g + 16 = 12*l - 16*l, 5*g = 20 for l.", "output": [ "-5" ] }, { "id": "task835-af1030c0fc3d49408943bf65c1ad9026", "input": "Calculate prob of picking 1 o, 1 g, and 1 q when three letters picked without replacement from goqyyyypg.", "output": [ "1/42" ] }, { "id": "task835-c642bb54588b4a3ab0d26d5d33a14221", "input": "Calculate prob of picking 1 x and 1 d when two letters picked without replacement from mxjmxmdm.", "output": [ "1/14" ] }, { "id": "task835-4dcb35d26fed45a0b2612a8a89a4bd41", "input": "Calculate prob of sequence nja when three letters picked without replacement from {b: 2, j: 3, g: 3, n: 3, a: 3}.", "output": [ "9/728" ] }, { "id": "task835-b1d30c771c5e452a8d6a141f40503787", "input": "In base 8, what is -1 - -5654?", "output": [ "5653" ] }, { "id": "task835-c780e73cf25e42b49ab406d67529fb19", "input": "Suppose 2*r + 4*h = 2*h - 4, 5*h = 2*r - 24. Let m be (1*(3 + 1))/r. Solve -9 - 1 = -m*g for g.", "output": [ "5" ] }, { "id": "task835-77d1804e592346329e99527ee8b08c0b", "input": "Suppose 2*p - 5 = 15. Suppose -2*d - 7 + 15 = 0. Calculate the smallest common multiple of d and p.", "output": [ "20" ] }, { "id": "task835-4c3eaaaad9ee4e3091033e188da857a8", "input": "Suppose -s + 5 = 3*r - 22, 5*r + 2*s = 46. Let h = -2 + 5. Suppose 2*u - h*u - 3*j - 1 = 0, 2*j + 10 = 0. Calculate the remainder when u is divided by r.", "output": [ "6" ] }, { "id": "task835-8880db50b0ba451d96494bb6d936dcd9", "input": "Two letters picked without replacement from gueugfuwu. Give prob of sequence wg.", "output": [ "1/36" ] }, { "id": "task835-322c1d70abf946fcaf92853dfed41b93", "input": "Let w be (-92)/(-22) - 4/22. Suppose -w*j + 116 = -0*j. What is the remainder when j is divided by ((-6)/(-8))/(3/60)?", "output": [ "14" ] }, { "id": "task835-b7d5f6bc652347afab20eecc8d62d464", "input": "What is ((8/6)/(-4))/1?", "output": [ "-1/3" ] }, { "id": "task835-687077be966c405a8c053209bada66a3", "input": "What is (-1)/((2/(-5))/((-20)/(-25)))?", "output": [ "2" ] }, { "id": "task835-1bd3cb97a50042358ffd6d36754ffb18", "input": "How many millilitres are there in 3/8 of a litre?", "output": [ "375" ] }, { "id": "task835-dcba60c5d8f7431da75a20b256e3740f", "input": "Let d(i) = i**3 + 7*i**2 - 10. Let h be d(-7). Let c = 12 + h. What is the units digit of c?", "output": [ "2" ] }, { "id": "task835-6ff4053c108940bab2733cfefa475c5b", "input": "Solve 15*p = 6*p + 36 for p.", "output": [ "4" ] }, { "id": "task835-7745ed4cdd38420aac3ec891debb1b22", "input": "How many centimeters are there in three tenths of a meter?", "output": [ "30" ] }, { "id": "task835-a6d752d14f3947f0b0a6e6a731ec53c4", "input": "How many months are there in nineteen quarters of a decade?", "output": [ "570" ] }, { "id": "task835-2652f2f19db4493ca5412a7b56ce4b75", "input": "How many months are there in thirty-one fifths of a millennium?", "output": [ "74400" ] }, { "id": "task835-de6041e855454403850cce3045c8345f", "input": "Evaluate (-72)/27*36/48.", "output": [ "-2" ] }, { "id": "task835-5536dd16f53f410aaf0f1a47a1e509d7", "input": "Three letters picked without replacement from {h: 1, g: 2, o: 1, i: 7, c: 3, l: 3}. Give prob of sequence iil.", "output": [ "21/680" ] }, { "id": "task835-fab0675cab55496a918efa48feb6260a", "input": "Work out 4 * 4.45.", "output": [ "17.8" ] }, { "id": "task835-7b9d0133c89a44bcafdf88e7ffda0d72", "input": "How many millilitres are there in 53.6938 litres?", "output": [ "53693.8" ] }, { "id": "task835-e82ce52ba721449f8f359a01ffdfa081", "input": "What is 214461.5kg in tonnes?", "output": [ "214.4615" ] }, { "id": "task835-a124c7a53d4d4789b3e41b21a42f04d7", "input": "Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {r: 3, c: 3, x: 1, t: 5, h: 1}.", "output": [ "5/78" ] }, { "id": "task835-dcd1c5606c3745b99d5cfe6022a4f162", "input": "Find the common denominator of -38/11 and 390/(-24) + 1/1.", "output": [ "44" ] }, { "id": "task835-0321dd2bd59a45e8968f856c3b08d82a", "input": "Let b be (3/(-3) + 8)/1. Let h = 11 - b. What is the units digit of (0 + -6)/((-4)/h)?", "output": [ "6" ] }, { "id": "task835-68452dfdba4b42219969670cb56fa6f3", "input": "Let h = -11541 - -219327/19. Let q be (-11654)/5320 + 4/(-14). Let f = q + h. Find the common denominator of -93/16 and f.", "output": [ "80" ] }, { "id": "task835-724338bdfe2e4648bb585021627b885a", "input": "How many millilitres are there in 5/4 of a litre?", "output": [ "1250" ] }, { "id": "task835-dc8aa2dd56b24b55ae8cd9e9478d71b0", "input": "What is prob of sequence rpcp when four letters picked without replacement from uppbrrppcrbrurrbrrr?", "output": [ "3/2584" ] }, { "id": "task835-4f3c09d7aff946c49d15ac5b25868f8c", "input": "Three letters picked without replacement from csmqmzctcmqzct. What is prob of picking 1 c, 1 m, and 1 q?", "output": [ "6/91" ] }, { "id": "task835-275c40ac5ef54cf3abc0a0efc8f8239c", "input": "Multiply -18 and 0.13.", "output": [ "-2.34" ] }, { "id": "task835-167dd9fc073546288e73edb049e3130d", "input": "Let j = -1 - -9. Suppose -12 = -q + j. What is the units digit of q?", "output": [ "0" ] }, { "id": "task835-195923374b3c4f1faf866cf97a771751", "input": "What is the square root of 485 to the nearest integer?", "output": [ "22" ] }, { "id": "task835-101f723e148d44fda5119dfa8c635cc2", "input": "Let j(y) be the third derivative of y**5/30 - y**4/4 + y**3/3 + 2*y**2. Calculate the smallest common multiple of j(5) and 12.", "output": [ "132" ] }, { "id": "task835-e9e03a350a4a4f5eb7561d281b23da8b", "input": "Four letters picked without replacement from {f: 3, s: 5}. Give prob of picking 1 s and 3 f.", "output": [ "1/14" ] }, { "id": "task835-2b04cc13e4bb4ae4b42ef2d2f5256653", "input": "Evaluate ((2/(-6))/((-50)/(-90)))/1.", "output": [ "-3/5" ] }, { "id": "task835-d469410aa1e444999dfefa9693de291d", "input": "Calculate prob of picking 2 q and 1 o when three letters picked without replacement from {o: 5, q: 2}.", "output": [ "1/7" ] }, { "id": "task835-f647dcf353b946a2aed11c08748dbdae", "input": "Let s be 10/(-72)*2*-5708. Let l = -1580 + s. Let x = 1992 + -12035/6. Find the common denominator of x and l.", "output": [ "18" ] }, { "id": "task835-7bf4ed84950844a1a14c3ac298982e63", "input": "What is the value of 738/82 + (-83)/9?", "output": [ "-2/9" ] }, { "id": "task835-8f15cef4ef69408e851bd05b06c6c200", "input": "Four letters picked without replacement from ziiiiiii. Give prob of picking 1 z and 3 i.", "output": [ "1/2" ] }, { "id": "task835-32f5c254d5e648ff8f19eead053d36b2", "input": "Add together 4 and -171456.", "output": [ "-171452" ] }, { "id": "task835-fd8772f918a5456880824c1e1a33c313", "input": "How many millimeters are there in 1/4 of a meter?", "output": [ "250" ] }, { "id": "task835-cae697572225488f8f4f97dfe8c826c4", "input": "What is prob of sequence jy when two letters picked without replacement from jjjuuuyyuyy?", "output": [ "6/55" ] }, { "id": "task835-33e25ca601b04c90ae9f1a04112d0bc4", "input": "Let f be (4 + -6)*1/2. Let u be (-15)/(-6)*(-2)/f. Suppose 35 = 2*m - u*g, -5*m + 0*g = 3*g - 72. What is the tens digit of m?", "output": [ "1" ] }, { "id": "task835-de8fbb98674b44858e1d459c5dc5c79d", "input": "What is the value of (-11 - (-1 - 7)) + (9 - 1)?", "output": [ "5" ] }, { "id": "task835-9596b955b2a848d0a604a566383eece5", "input": "How many millilitres are there in 21/2 of a litre?", "output": [ "10500" ] }, { "id": "task835-417b4b06d57047ab865af399075f2554", "input": "Let j be (-141)/(-21)*1 + (-4)/(-14). What is the highest common divisor of j and 14?", "output": [ "7" ] }, { "id": "task835-6829170c732c49cab83f79e0673a4ec7", "input": "Calculate prob of picking 2 v when two letters picked without replacement from {v: 4, c: 2, x: 3}.", "output": [ "1/6" ] }, { "id": "task835-07843081d1284013994108a164503fdf", "input": "What is the third root of 5249 to the nearest integer?", "output": [ "17" ] }, { "id": "task835-15fd6a40a710403aa3c0fe32f663afdf", "input": "-212 divided by -13", "output": [ "212/13" ] }, { "id": "task835-2cb96120dafc49b3aa02d7894fe1c625", "input": "100/56 + 4/(-14)", "output": [ "3/2" ] }, { "id": "task835-67b8c3e9698f4be5a5d68772cf11fa1d", "input": "Solve 119 - 14 = -15*r for r.", "output": [ "-7" ] }, { "id": "task835-bc468ad6c32b425e9c6223ef8b0538de", "input": "Solve -189 = -7*k - 133 for k.", "output": [ "8" ] }, { "id": "task835-d8ca9a01915248299ffb28dd77f5a6bc", "input": "What is -0.31 less than -16.9?", "output": [ "-16.59" ] }, { "id": "task835-2890407a877046b39e7f8497f8309d67", "input": "Suppose a - 6*a + 3*j + 321 = 0, -342 = -5*a - 4*j. What is the greatest common divisor of 165 and a?", "output": [ "33" ] }, { "id": "task835-63a56733c9ec46efa01b501201333c6d", "input": "What is the fourth root of 822 to the nearest integer?", "output": [ "5" ] }, { "id": "task835-6086532df0b148b99774b423a161b8d6", "input": "Let s(j) = 5*j**2 - j. Let o be s(1). Let a = o + 1. Suppose 2*u - 13 = -0*u + i, 5 = -2*u - a*i. What is the units digit of u?", "output": [ "5" ] }, { "id": "task835-b683c8bf1e5e481ea464d97592a0b92a", "input": "Convert 97.46392l to millilitres.", "output": [ "97463.92" ] }, { "id": "task835-0efbecb6b0d24f05a52a584a307cc348", "input": "Calculate (-105)/(-30)*4/7.", "output": [ "2" ] }, { "id": "task835-844cd1d956c7426db6ce144f8470994f", "input": "What is the common denominator of -73/24 and (-252)/(-160) + (-2)/10?", "output": [ "24" ] }, { "id": "task835-34951fea96034c6ebf14ba069b9ec1d2", "input": "How many nanometers are there in fifty-seven halves of a micrometer?", "output": [ "28500" ] }, { "id": "task835-4ec2855d1e3f423a81bb1a20cc686d5a", "input": "-4.589*-2", "output": [ "9.178" ] }, { "id": "task835-186a641985d546abb5a589ad82a77c81", "input": "Suppose -3*c = -5*b + 9, -3*c + 4*b - 6 = -0*c. Suppose 0 = -c*y - 2*y. Let q be -1 + (-3 - 1)/(-4). Solve -4*g + 14 - 6 = y, q = 5*j + 5*g - 5 for j.", "output": [ "-1" ] }, { "id": "task835-fa01a5e3f325448dbb1d0dce19d69736", "input": "What is ((-28)/(-70))/(3/(-15))?", "output": [ "-2" ] }, { "id": "task835-3c8f7b9d04724d7f81d1f01a8b6228c4", "input": "Three letters picked without replacement from rrrrrrrrrrbrrrrrrrrb. What is prob of picking 1 b and 2 r?", "output": [ "51/190" ] }, { "id": "task835-74702f07253545df831bf42e1fd58415", "input": "Three letters picked without replacement from heeehaoeeoooehaaehee. Give prob of sequence ehh.", "output": [ "3/190" ] }, { "id": "task835-c828d6e48a02475cae24789f9d4b2935", "input": "In base 4, what is -20 + -1012?", "output": [ "-1032" ] }, { "id": "task835-e20d4de03d444c6d95fff5afd8556954", "input": "-9259432 + 1", "output": [ "-9259431" ] }, { "id": "task835-53440a59cf5e4c7d85bdb1a4c5794c69", "input": "Suppose 0 = -3*z + n + 13, 4*n = -2*z - 2 - 8. Solve -h + z*h = 0 for h.", "output": [ "0" ] }, { "id": "task835-edf759ef3d02483bb9e518c831066478", "input": "Calculate 270 divided by -45.", "output": [ "-6" ] }, { "id": "task835-2ef09107956340aeb9e084674d849319", "input": "How many seconds are there in 66.0984 days?", "output": [ "5710901.76" ] }, { "id": "task835-4ebb71d9c3754c548d514a8648a005d5", "input": "Three letters picked without replacement from {s: 9, k: 5}. What is prob of picking 3 k?", "output": [ "5/182" ] }, { "id": "task835-261ca37eb1cc40a9a1b9a164fe594b1a", "input": "In base 14, what is 2 + 9?", "output": [ "b" ] }, { "id": "task835-b61a17952cf942ddb56f16f4fd9693dc", "input": "Let y = -2 - -3. Let x(p) = p**3 + 7*p**2 - 6*p + 9. Let b be x(-8). Let n = b + 9. What is the remainder when n is divided by y?", "output": [ "0" ] }, { "id": "task835-7a67cebf2a2544e8b34d67ac4335c4d0", "input": "Let a = 28 + -25. Solve 2*f + 14 = 4*s, 4*f + 3 = -a*s - 14 for f.", "output": [ "-5" ] }, { "id": "task835-9a9d88d3c83c49d69ba2ce3269d5dbc2", "input": "Four letters picked without replacement from {b: 1, s: 11, w: 1}. What is prob of sequence ssbw?", "output": [ "1/156" ] }, { "id": "task835-94186345490b44678cd2b6cbdd5f70fb", "input": "Calculate prob of sequence zzmz when four letters picked without replacement from {m: 13, z: 6}.", "output": [ "65/3876" ] }, { "id": "task835-ff88c4eaad0c40c8aa1e49324dcf1fe5", "input": "Solve -2*c + 5*y = -11, -2*c - 98*y + 8 = -100*y for c.", "output": [ "3" ] }, { "id": "task835-82d6e3c6865c483ba755363ef0005217", "input": "What is -280 divided by -10?", "output": [ "28" ] }, { "id": "task835-923a5e3ad38f42f38bfc31225f4b5517", "input": "((-6)/(-2 - -5))/1", "output": [ "-2" ] }, { "id": "task835-b1ae549f70904bab9a49de706f0301d8", "input": "Suppose -j - 4*j - 24 = -3*g, -4*g - 4*j + 64 = 0. Suppose 0 = 5*z + g - 38. Solve 8 = i - 5*s, -z*i + 2*i = -2*s - 11 for i.", "output": [ "3" ] }, { "id": "task835-a0cc644bb61043f0ab3b051981f306d6", "input": "Let a = 6 + -11. Let m be (-1)/1*1*a. Let k = 5 - m. Solve p = -k + 3 for p.", "output": [ "3" ] }, { "id": "task835-a7d6965ce4ee4637b92f05c878e20b44", "input": "What comes next: 377, 382, 389, 398, 409?", "output": [ "422" ] }, { "id": "task835-a7f4115f101b450b9dad1f0ef53ef7aa", "input": "Two letters picked without replacement from {v: 1, d: 3, k: 3}. Give prob of picking 1 d and 1 k.", "output": [ "3/7" ] }, { "id": "task835-5c14a146ede9451bbbfd172b427b07fa", "input": "Solve 11*u - 24 = 3*u for u.", "output": [ "3" ] }, { "id": "task835-152e521fd57a4249aae4f23b2686d516", "input": "Let u be ((-4)/10)/((-2)/10). Let g = 8 - u. Solve -3*o - n + 11 = 0, -g = -3*o - o + 3*n for o.", "output": [ "3" ] }, { "id": "task835-5586bddafa864c8daf7599a56ef09fd0", "input": "What comes next: 35, 146, 331, 590, 923, 1330?", "output": [ "1811" ] }, { "id": "task835-f9f574f2b4d34ff0874ae2bd65d6573e", "input": "What is nine tenths of a gram in milligrams?", "output": [ "900" ] }, { "id": "task835-a4c1ac4b324b44d68e7ec867e6c60017", "input": "Solve 0 = -3*q - 4*n + 15, 3*q + 2*n = -3*n + 18 for q.", "output": [ "1" ] }, { "id": "task835-fa187524a61e4ba097e3d39e0c6a09d5", "input": "Let v be (-3)/(-15) + (-57)/(-15). Solve -2*i = i + 3*k, 0 = v*i + 5*k + 3 for i.", "output": [ "3" ] }, { "id": "task835-9c5c3313f29241e98512395a2ca94fe8", "input": "What is the square root of 33263 to the nearest integer?", "output": [ "182" ] }, { "id": "task835-68bbf8cf9d824beab63a88a26865ab5a", "input": "What is 82497.11cm in kilometers?", "output": [ "0.8249711" ] }, { "id": "task835-052628792e7c4e20be8b2674eb3595c8", "input": "Suppose 6*o = 4*o. Suppose -4*k + 5*k - 2 = o. Suppose 0 = k*d + 3*d + 3*a - 73, -d = -3*a - 11. What is the least common multiple of d and 20?", "output": [ "140" ] }, { "id": "task835-b4219b925da24b759bf0ebb33bd0bac5", "input": "What is 4284.825mm in kilometers?", "output": [ "0.004284825" ] }, { "id": "task835-b3fe6494b01d4385ba333b1a4d7401e3", "input": "Let j be (16/6)/(1/(-9)). Let u = j + 49. Calculate the remainder when u is divided by 7.", "output": [ "4" ] }, { "id": "task835-edb8bbbe27ad4af1acac307b90989d6c", "input": "Two letters picked without replacement from {u: 2, x: 8}. Give prob of picking 1 x and 1 u.", "output": [ "16/45" ] }, { "id": "task835-ce7a6454441341308004e630fd74bb9d", "input": "Solve z = -5*c - 21, 2*c - 10*z = -14*z - 12 for c.", "output": [ "-4" ] }, { "id": "task835-154d88c63e154d6489a062948e90e0b9", "input": "Solve 24*b + 162 = -3*b for b.", "output": [ "-6" ] }, { "id": "task835-77a15322762c4f588ce4241dfc0433fd", "input": "What is the tenth root of 14575 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-7f489e29e3d84c9c93ed8f5fe2380eca", "input": "What is prob of picking 1 y, 2 n, and 1 e when four letters picked without replacement from {e: 8, n: 1, y: 11}?", "output": [ "0" ] }, { "id": "task835-887e060fc3df4cdda31eb83f4383611a", "input": "In base 2, what is 100010100011 + -101?", "output": [ "100010011110" ] }, { "id": "task835-8a6f8abbb8ba4b9d971a22c05aa69e1c", "input": "What is 5819.525 millilitres in litres?", "output": [ "5.819525" ] }, { "id": "task835-476e34f205a14e91860fb78eef11ce34", "input": "Let y be (-4)/8 - 24052/24. Let b = y + 979. Calculate the common denominator of -3/8 and b.", "output": [ "24" ] }, { "id": "task835-34ffe68aa13a470e874c5a534a55aa1b", "input": "How many seconds are there in twenty-eight thirds of a minute?", "output": [ "560" ] }, { "id": "task835-768b0ee4eda64532b35565f4542e4b00", "input": "What is (1 + 0)*(-1 + -6 + 2)?", "output": [ "-5" ] }, { "id": "task835-ca3985da6e9a4e13b8af980948b7d8e6", "input": "Solve 54*y - 72*y = 72 for y.", "output": [ "-4" ] }, { "id": "task835-5d32ab3b457f426385700aeaa68c6b2b", "input": "Calculate 9/(6/2)*(-6)/18.", "output": [ "-1" ] }, { "id": "task835-e4ae906296164618a01ee18acc6e78c0", "input": "Let b be 4 + -1 + 72490/16. Let r = 4524 - b. Find the common denominator of 4 + -2 - (-83)/(-4) and r.", "output": [ "8" ] }, { "id": "task835-543d8fecef7442b8825b34e4c17fda72", "input": "Calculate (-8)/(51/34*28/(-3)).", "output": [ "4/7" ] }, { "id": "task835-34081df871b149c78f3a9055a06e15f1", "input": "What is 80189.51mg in micrograms?", "output": [ "80189510" ] }, { "id": "task835-ebfe49320fc84573932a308391779dcb", "input": "Let h(k) = k**2 - 4*k. Let t be h(5). Suppose 3 = t*w - 4*w. Solve 0 + w = r for r.", "output": [ "3" ] }, { "id": "task835-24298793951e4e67aa512ffc010349dd", "input": "What is next in 256, 306, 356, 406, 456?", "output": [ "506" ] }, { "id": "task835-ef38dfc63ff4475190574ab23245ad8e", "input": "What is 531.1725 decades in months?", "output": [ "63740.7" ] }, { "id": "task835-be0f68acb4f444b38be3c2dad2638da3", "input": "What is the value of -2 - (-2 + (-5 - (-7 - -2)))?", "output": [ "0" ] }, { "id": "task835-9877f09006a345d8be83bd967f295382", "input": "In base 16, what is -ad + 3?", "output": [ "-aa" ] }, { "id": "task835-d738fdbf21dc458a925fa30b169c70b2", "input": "Suppose 0 = 7*y - 5*y - 16. What is the smallest common multiple of y and 4?", "output": [ "8" ] }, { "id": "task835-b83269e6db104691999c1c4af894d8ff", "input": "What is 306604.998 minutes in weeks?", "output": [ "30.4171625" ] }, { "id": "task835-64200e3c95e8417aaae610f364dc06f7", "input": "Suppose 0 = 5*b - b - 28. Let f = 10 - 1. Suppose -2*q = -f + 3. What is the remainder when b is divided by q?", "output": [ "1" ] }, { "id": "task835-4bc5a390edab4ef2aee85a4b9b1f0584", "input": "How many nanograms are there in 944.3821 grams?", "output": [ "944382100000" ] }, { "id": "task835-b84a3e3e0fff4737b4bbd7c4fc3312a5", "input": "Solve 30*i + 0 = -60 for i.", "output": [ "-2" ] }, { "id": "task835-a9e77e63c72b4a77b69a48ff48fa8934", "input": "Let b = -12 - -8. What is the common denominator of b/14 - (-158)/(-35) and (-675)/(-132) - 6/8?", "output": [ "55" ] }, { "id": "task835-cb21a69a9bbe48dcb797bacbc743a901", "input": "What is the next term in 549, 1091, 1633, 2175, 2717?", "output": [ "3259" ] }, { "id": "task835-c962c80622174539aafd93d80255a483", "input": "Calculate 0.85*-2.", "output": [ "-1.7" ] }, { "id": "task835-720036f206714c679b82896f8ec8dd92", "input": "What is 7/4 of a millennium in decades?", "output": [ "175" ] }, { "id": "task835-8c9983287b4241849b3b81b12f95f743", "input": "Work out -0.4 + 7169.", "output": [ "7168.6" ] }, { "id": "task835-1a559f2dea5940049763cd883a5c5c00", "input": "Three letters picked without replacement from eyeyee. Give prob of picking 1 e and 2 y.", "output": [ "1/5" ] }, { "id": "task835-974434f9fa74478bbb03f66bd801826d", "input": "What comes next: -4, -8, -20, -46, -92, -164?", "output": [ "-268" ] }, { "id": "task835-cf6e2a99cc184c73a7a693bd543b0a0c", "input": "Suppose 2*c = 6*c + 36. Let j = 11 + c. Solve -2*q - 4 = -2*x, -j*x - 4*q + 20 = 4 for x.", "output": [ "4" ] }, { "id": "task835-042a480e4cc04722af0b2fa74fed50a5", "input": "What is the next term in -15934, -15933, -15932, -15931, -15930?", "output": [ "-15929" ] }, { "id": "task835-0ceca1afebae4e67af8cea7da693dfdf", "input": "What is seventy-seven halves of a decade in months?", "output": [ "4620" ] }, { "id": "task835-d2f870aebe204e5c803ec65168280f94", "input": "Two letters picked without replacement from nxnxxxnx. Give prob of sequence xn.", "output": [ "15/56" ] }, { "id": "task835-7ab8c563c69c4c699e8c454a70084987", "input": "Calculate prob of sequence hsh when three letters picked without replacement from {s: 3, h: 2}.", "output": [ "1/10" ] }, { "id": "task835-e6b8ffb67b7c42b188dae43065bc6df4", "input": "Suppose -a - 4*i + i - 13 = 0, 2*i + 10 = 0. Suppose a = -5*g + l, 4*l - 10 = -2. Suppose 2 = 5*j - 2*q, -j - 2*q + 13 - 3 = g. Solve -j*k = 3*k + 5 for k.", "output": [ "-1" ] }, { "id": "task835-bf2157a9c6f34c72beffe6fd2ee90b19", "input": "How many centuries are there in 42.20265 months?", "output": [ "0.035168875" ] }, { "id": "task835-00cf15e6c1b54c4db9a218d5da8b9d94", "input": "Two letters picked without replacement from {y: 2, l: 6, w: 3, a: 1, p: 2, f: 4}. Give prob of sequence yw.", "output": [ "1/51" ] }, { "id": "task835-c8de3cb26cd3492992bd8367cfcef9b4", "input": "Two letters picked without replacement from ttutguugtuwuurug. What is prob of picking 1 u and 1 t?", "output": [ "7/30" ] }, { "id": "task835-6533ba5275ab40aebaece32289b3187d", "input": "Solve y = 8*y - y for y.", "output": [ "0" ] }, { "id": "task835-ad692282aec049d19df6e3cc61f1a694", "input": "What is prob of sequence kisi when four letters picked without replacement from fsfkifefs?", "output": [ "0" ] }, { "id": "task835-74bd7ca896684d9089e5c18d31dad870", "input": "Two letters picked without replacement from {a: 1, m: 1, o: 1, w: 1, s: 1, e: 2}. What is prob of picking 1 w and 1 e?", "output": [ "2/21" ] }, { "id": "task835-dc6309e9abc7478aace497f779ef9e91", "input": "Solve 212 = 56*z + 44 for z.", "output": [ "3" ] }, { "id": "task835-0b78d9a006c149f99b7cf4dd221677f5", "input": "Calculate prob of picking 2 o and 2 k when four letters picked without replacement from {o: 3, k: 12}.", "output": [ "66/455" ] }, { "id": "task835-96fb2da44af94ffc824c46fe5b9f3950", "input": "What is the square root of 78415 to the nearest integer?", "output": [ "280" ] }, { "id": "task835-343a4eec0bd949aca300baf621ed748a", "input": "Convert 56.3788 seconds to microseconds.", "output": [ "56378800" ] }, { "id": "task835-3e41688ee1774931bc6a570165dfd5da", "input": "Suppose 3*h + 3*w - 64 = -1, -4*w = -4*h + 100. What is the tens digit of h?", "output": [ "2" ] }, { "id": "task835-faf01ca025a44b7ea6f0e71efc927031", "input": "What is 3641 to the power of 1/2, to the nearest integer?", "output": [ "60" ] }, { "id": "task835-b32ed6de38834d5691256adcbc13223b", "input": "Let a be ((-2)/3)/(1/3). Let p(b) = b**2 - 1 + 3*b + 2*b**2 + 0*b - b. What is the units digit of p(a)?", "output": [ "7" ] }, { "id": "task835-8a991922744247d5889f5697717cd124", "input": "Calculate 41*-0.23.", "output": [ "-9.43" ] }, { "id": "task835-b1f0d681e9d74a5994d08546553e03f9", "input": "What is twenty-six fifths of a millennium in months?", "output": [ "62400" ] }, { "id": "task835-5419b6093daa4a1e9789a349058d2a77", "input": "Solve 80*x - 103*x - 115 = 0 for x.", "output": [ "-5" ] }, { "id": "task835-c85757ce577c466f8e9205d1e007c3de", "input": "What is 79297.05ml in litres?", "output": [ "79.29705" ] }, { "id": "task835-d956a792743445b484d07027c2568a63", "input": "Four letters picked without replacement from {m: 8, g: 5}. What is prob of sequence mmgm?", "output": [ "14/143" ] }, { "id": "task835-26721c1724fb4b2cb3b5f340c5452bfd", "input": "Let n = 17 - 12. Suppose -4*t + h = 48, -h + 24 = -n*t - 37. Let b = t + 21. What is the units digit of b?", "output": [ "8" ] }, { "id": "task835-8322c789216d4a88b6c42e34785ac1d2", "input": "What is 1001 to the power of 1/6, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-34efb78e993141a89ef93da3c8aa002b", "input": "Let g be (5/(-10))/(2*(-3)/48). What is the highest common divisor of 36 and g?", "output": [ "4" ] }, { "id": "task835-a6647a11585541cda12d9f4a1906b8f3", "input": "Let f be (-34)/(-4)*(-2)/1. Suppose 5*i = -5*a + 20, 2 = -4*a + i + 3. Let x = a - f. What is the smallest common multiple of x and 4?", "output": [ "36" ] }, { "id": "task835-053eff92b48b4683accb9be8de62ca6f", "input": "Solve -10*f - 2*f = 48 for f.", "output": [ "-4" ] }, { "id": "task835-f1be234704de413b801890030ecdd082", "input": "Let s be (2 - 0) + -4 + 12. Let c(u) = -5*u + 4*u - 6*u + s - u**2. Let g be c(-7). Solve 0*k = -3*k - 5*n + g, n - 5 = 0 for k.", "output": [ "-5" ] }, { "id": "task835-9a1da060ba4e47e0bee51d4d25be613d", "input": "What is 0.8008269 millennia in decades?", "output": [ "80.08269" ] }, { "id": "task835-6539284992bf4e2395aabdfccaff03e1", "input": "Solve 16*q - 105 = q for q.", "output": [ "7" ] }, { "id": "task835-d4ece854eb334e57a1a3a8e4eb19a0f5", "input": "What is the value of (-3)/(198/58) + 1/3?", "output": [ "-6/11" ] }, { "id": "task835-23b52dbcd8964d36ac4fbb273fa661e9", "input": "Calculate prob of sequence uut when three letters picked without replacement from {c: 8, t: 2, u: 8}.", "output": [ "7/306" ] }, { "id": "task835-74585e6a6c2c42708461fa762029e086", "input": "Suppose 0*b - 4*b - 4 = 0. Let l be (1/(-2))/(b/36). What is the greatest common factor of 6 and l?", "output": [ "6" ] }, { "id": "task835-af696ed7632042d0ad383c740d0d4ffb", "input": "What comes next: -37, -72, -129, -220, -357, -552, -817?", "output": [ "-1164" ] }, { "id": "task835-4c934013fceb4adbbd4de34e4bd572c5", "input": "Calculate -0.4 - 4148.", "output": [ "-4148.4" ] }, { "id": "task835-f4f10598ac04437b9364503942de76c7", "input": "Calculate prob of sequence fffm when four letters picked without replacement from fffffmmmmmmmm.", "output": [ "4/143" ] }, { "id": "task835-a3beb15569f04c31846bb5b8e0b4c771", "input": "What is fifty-nine fifths of a microsecond in nanoseconds?", "output": [ "11800" ] }, { "id": "task835-08c84465f3cd4e7d9a198f0b71685bac", "input": "Four letters picked without replacement from {k: 1, y: 1, p: 3, r: 7}. What is prob of sequence ppkp?", "output": [ "1/1980" ] }, { "id": "task835-d53fccc18a6a40a891e787dfd2bd9cce", "input": "What is the next term in 221, 506, 791, 1076, 1361, 1646?", "output": [ "1931" ] }, { "id": "task835-80e2825c5f0e436cb3e46de63c9d4154", "input": "Suppose -a - 3 = 2, -5*y + 5 = 4*a. Suppose y*z - 4 = -4*g, -4*g = -0*z + 4*z. Solve -5*b = 5*i + 27 + 13, -13 = -z*b + 5*i for b.", "output": [ "-3" ] }, { "id": "task835-ad7d467882fb4d178f268600752ed570", "input": "How many millilitres are there in eleven halves of a litre?", "output": [ "5500" ] }, { "id": "task835-cbb2a01386524a4d957c1d9c1387eb87", "input": "Let g = -14 + 18. Solve 2*f + 6 = -g for f.", "output": [ "-5" ] }, { "id": "task835-22484c657fcc4bcc801473fa60d4ae09", "input": "Let x = 27 + -5. Let n = 24 - 9. Let q = x - n. Solve 2*f - s = -13, -3*f + q*f + 36 = 4*s for f.", "output": [ "-4" ] }, { "id": "task835-061bf358542c4160880a48c70aaa3b32", "input": "How many months are there in 4/3 of a millennium?", "output": [ "16000" ] }, { "id": "task835-758c23c91b344e7ab79f5389f35bc4ef", "input": "What is 276 + 0.06?", "output": [ "276.06" ] }, { "id": "task835-ffc133e570524f00bd359ec46e9e7fed", "input": "Suppose 2*t - 8 = 24. Suppose -a + t = 3*a. Solve 5*o - 5*z = 15, -a*o - 5*z + 35 = o for o.", "output": [ "5" ] }, { "id": "task835-063a0e133c07400c9c4351114c768cb5", "input": "Evaluate -1 - (0 + 0 - -1).", "output": [ "-2" ] }, { "id": "task835-2ae4d36f5ab44a569b23e03c83308336", "input": "Calculate 12/198 - 600/99.", "output": [ "-6" ] }, { "id": "task835-95a3cfdb36b3463696c6405a4c9f3465", "input": "What is 30201.12 minutes in nanoseconds?", "output": [ "1812067200000000" ] }, { "id": "task835-a31a4bf088b04fc4bd39d2ab22f81c0b", "input": "Calculate prob of sequence lrl when three letters picked without replacement from lrrllllrllllll.", "output": [ "55/364" ] }, { "id": "task835-4c8593401d944c77a979c07c022e81c6", "input": "Convert 75781.79 centuries to decades.", "output": [ "757817.9" ] }, { "id": "task835-2e919d3c81d54ba3a7fb3ce2deeaf080", "input": "How many milliseconds are there in fifteen quarters of a second?", "output": [ "3750" ] }, { "id": "task835-6bc6ca1c30c6486eac886a7e340c4693", "input": "Suppose -13 + 20 = s. What is the units digit of s?", "output": [ "7" ] }, { "id": "task835-3139e3e74d274949a9fcaf1fa95ed9c2", "input": "Three letters picked without replacement from oxccztxcccocottcxxto. Give prob of picking 2 o and 1 t.", "output": [ "2/95" ] }, { "id": "task835-59ab3a816a9b4fabad0bd3c901d76d08", "input": "How many centuries are there in 492614.7 months?", "output": [ "410.51225" ] }, { "id": "task835-8ef3e50c27c2418faef3d1850401e392", "input": "Calculate the remainder when 65 is divided by ((-24)/14)/(22/(-231)).", "output": [ "11" ] }, { "id": "task835-827aea9a0aa440edadd7e559e0e0266b", "input": "Solve -4*h + 9 = 41 for h.", "output": [ "-8" ] }, { "id": "task835-3e32c998ee9e4b69a3ebea23a1de9d9e", "input": "Calculate 24/2*(-145)/435.", "output": [ "-4" ] }, { "id": "task835-6868e53f126e424e831ac62039ef108f", "input": "Two letters picked without replacement from {x: 9, g: 3, u: 7}. Give prob of sequence gu.", "output": [ "7/114" ] }, { "id": "task835-15df78880f34416085deb76b27c5e197", "input": "In base 3, what is 210202 - 10?", "output": [ "210122" ] }, { "id": "task835-f46239e217f24d21856bf0bb962fc0ad", "input": "What is 10/(-36) - 3*(-6)/108?", "output": [ "-1/9" ] }, { "id": "task835-4676bb5a301a4fc48c00083b3cb4c4b6", "input": "What is 15/4 of a millisecond in microseconds?", "output": [ "3750" ] }, { "id": "task835-3c48384523814d7083d2f45fe55610b2", "input": "Calculate 2357*0.", "output": [ "0" ] }, { "id": "task835-ba328bcb6c114a82a58b637ddf6a6ae9", "input": "Two letters picked without replacement from zgjzzgjjzjzzjggzz. What is prob of picking 1 g and 1 j?", "output": [ "5/34" ] }, { "id": "task835-c7b8dee38fff429ab12be5c12135746e", "input": "What is prob of picking 3 o and 1 z when four letters picked without replacement from zozzzozo?", "output": [ "1/14" ] }, { "id": "task835-2178c5bb50854a0f993eb55414c10de1", "input": "Let k = 5811/122 - 8/61. Let l = 2143/345 + -34/23. Let r = l + -13/45. Calculate the common denominator of k and r.", "output": [ "18" ] }, { "id": "task835-d60b6f32e3c34f56add7d49fd6ba57ec", "input": "What is 32972 to the power of 1/3, to the nearest integer?", "output": [ "32" ] }, { "id": "task835-61dc4e8c3941410986d17faca1895d83", "input": "How many microseconds are there in 4.679838ms?", "output": [ "4679.838" ] }, { "id": "task835-ad79bbd6c6664a38b9cf50397734957f", "input": "Solve 14*c - 20 = 10*c for c.", "output": [ "5" ] }, { "id": "task835-03175313de3047548cdd80a201a1f9aa", "input": "What is -104752 - 0.19?", "output": [ "-104752.19" ] }, { "id": "task835-11be58c534374801948d0414a1f05a64", "input": "What is 8/7 of a week in days?", "output": [ "8" ] }, { "id": "task835-efe2ba63465c48029694d18e0afc4aef", "input": "Suppose o + 20 = 5*o. Let h(t) = -o*t**2 - 4 + 0 + 0 - t**3. Calculate the remainder when h(-6) is divided by 17.", "output": [ "15" ] }, { "id": "task835-a4cae2390bec4a1b8dd041ed0fb884e3", "input": "What is prob of picking 1 e and 2 v when three letters picked without replacement from uvuuveevuueuveuueuu?", "output": [ "10/323" ] }, { "id": "task835-79cbd9c7f47943f08319ddce923fbc85", "input": "How many milligrams are there in 20.36361ug?", "output": [ "0.02036361" ] }, { "id": "task835-9ca3aa82cf1f459b8139a3704ceb90ea", "input": "Calculate 24*-0.5.", "output": [ "-12" ] }, { "id": "task835-edbf722b06dc4979b3d18d4d0187da72", "input": "Two letters picked without replacement from {h: 3, r: 15}. Give prob of picking 2 h.", "output": [ "1/51" ] }, { "id": "task835-fd437c933f2f49c589adb852d98882c4", "input": "What is prob of picking 2 u when two letters picked without replacement from uttuitu?", "output": [ "1/7" ] }, { "id": "task835-41b971469b624ed590800a8b3051c9d4", "input": "What is prob of sequence sss when three letters picked without replacement from gsss?", "output": [ "1/4" ] }, { "id": "task835-6f536c63dc4849bb820917de2df270a9", "input": "What is 1435 to the power of 1/2, to the nearest integer?", "output": [ "38" ] }, { "id": "task835-5d112cc55cba46a9ba114c4312c777c5", "input": "What is the value of 32/16*(-6)/(-22)?", "output": [ "6/11" ] }, { "id": "task835-522fb1e5593d48319c5728407b5659ee", "input": "Let h(a) = -a**2 - 10*a + 9. Let m be h(-11). Let g = 1 - m. Solve -12 = -g*o - 0*o for o.", "output": [ "4" ] }, { "id": "task835-15aafc8cc868456497ed88b50094c542", "input": "What is -2 - (-2 + -1 - -2)?", "output": [ "-1" ] }, { "id": "task835-360e57d5ca2c4b4180b21c43b403e392", "input": "Calculate prob of sequence ob when two letters picked without replacement from {b: 3, x: 6, o: 8}.", "output": [ "3/34" ] }, { "id": "task835-efb6ae1ad89c4c1f956d08356dc754a3", "input": "In base 3, what is -2201 - -10?", "output": [ "-2121" ] }, { "id": "task835-6663e2645dc14c6d966222305e247c06", "input": "What is prob of sequence jjqq when four letters picked without replacement from jjjjqjqqjqqq?", "output": [ "5/66" ] }, { "id": "task835-29ed6344a7f64c3a86487b43b6f4f3da", "input": "Two letters picked without replacement from sshssshs. Give prob of picking 1 s and 1 h.", "output": [ "3/7" ] }, { "id": "task835-8787d5eff75d40ac827b5f3f2c7657cd", "input": "Two letters picked without replacement from {t: 1, z: 1, v: 1, b: 1, s: 1, p: 2}. What is prob of picking 1 t and 1 p?", "output": [ "2/21" ] }, { "id": "task835-f53cffa8bbb548c58bd99d2b0d1cccc5", "input": "What is 1/20 of a week in minutes?", "output": [ "504" ] }, { "id": "task835-82f49a41dc0a47d79597412618ab6a5b", "input": "How many centimeters are there in eighteen fifths of a meter?", "output": [ "360" ] }, { "id": "task835-2f0754fbf9c147a19b146774432f75d4", "input": "What is 40138.7l in millilitres?", "output": [ "40138700" ] }, { "id": "task835-7122eff8c90e4b9eae8eac1912327111", "input": "What is three sevenths of a week in hours?", "output": [ "72" ] }, { "id": "task835-0c0a8da138c34368a9d905192eec77ec", "input": "Suppose 2*c + 9 = -3. Let o = c - -4. Let b be (o/5)/(2/(-10)). Calculate the highest common divisor of 5 and b.", "output": [ "1" ] }, { "id": "task835-f790093d26874f67858a2171203c36c3", "input": "Let t(g) = -4*g**2 - g**3 + 2*g**3 + 1 - 3*g - 2*g**3. Suppose -o - 2*k = -6, 0*o - 2*k + 14 = -o. Calculate the remainder when 38 is divided by t(o).", "output": [ "12" ] }, { "id": "task835-9ac710cdb8184f2dbb9a5d427249b347", "input": "0.2 - 3220", "output": [ "-3219.8" ] }, { "id": "task835-38f2e2db4e214d99b38044aba65e4c94", "input": "Suppose -3*g + g + 19 = -3*c, -g + 4*c = -22. What is the highest common divisor of g and 16?", "output": [ "2" ] }, { "id": "task835-9de4e6edd68d409a8aacbcd6b032b869", "input": "How many nanometers are there in 35.24283km?", "output": [ "35242830000000" ] }, { "id": "task835-2ef7a92f3b384972b8021016e876ee74", "input": "What is 21.07919 plus 5?", "output": [ "26.07919" ] }, { "id": "task835-e48fae3c0ef340d98f16cac324370d50", "input": "Let b(a) = 5*a - 1 + 3*a - 2*a - 5*a. What is the lowest common multiple of b(7) and 6?", "output": [ "6" ] }, { "id": "task835-2b9f159306a3426b8440def5ed9070bd", "input": "Evaluate (4/(-18))/((-15)/135).", "output": [ "2" ] }, { "id": "task835-bc366a488cdc4b2aa97a66862b5f24a8", "input": "What is twenty-five ninths of a day in minutes?", "output": [ "4000" ] }, { "id": "task835-c68b1198bf8a46d39684ca1027bec4fa", "input": "Evaluate (8 - 10) + (-2 - 2).", "output": [ "-6" ] }, { "id": "task835-4f7d1bd3c22b4ec995e26d5eccc52484", "input": "What is 489.788 - 0.2?", "output": [ "489.588" ] }, { "id": "task835-f072b9dd24374d35bdf0871ea1893a29", "input": "Two letters picked without replacement from qixxq. Give prob of sequence iq.", "output": [ "1/10" ] }, { "id": "task835-231cf154d6f74ff98396a7c4ce4a46c8", "input": "What is prob of sequence bwb when three letters picked without replacement from bsswbsbbbbsbbbwwbd?", "output": [ "15/272" ] }, { "id": "task835-8f30abed2b22464bac886b59a423d1d5", "input": "Solve -1 = 4*o - 5*j - 23, 4 = -2*j for o.", "output": [ "3" ] }, { "id": "task835-3eb547129b594fbb8aa7ad00647296ee", "input": "What is next in 3257, 6514, 9771?", "output": [ "13028" ] }, { "id": "task835-dcb3c22454434f49b4c69f37957cf393", "input": "Two letters picked without replacement from {l: 4, r: 1, d: 5}. Give prob of sequence dd.", "output": [ "2/9" ] }, { "id": "task835-45abc3d71b7f4c2590ff570adc2a8ee3", "input": "What is prob of sequence oj when two letters picked without replacement from {j: 1, o: 2, s: 2}?", "output": [ "1/10" ] }, { "id": "task835-d7c07d55ccf94bcfb504fc6b47a76877", "input": "Let u(d) = 5*d - 3. Calculate the remainder when 85 is divided by u(5).", "output": [ "19" ] }, { "id": "task835-494f010d473b4322a2b1c12955710c52", "input": "Suppose -2*y - 131 = -7*y - 3*n, 2*y - 2*n = 46. Suppose -5*k - 2*a = 3, 7*k - 2*k - 5*a - y = 0. Solve -3*g + 2*z = -2, -4*g = -z + k - 2 for g.", "output": [ "0" ] }, { "id": "task835-d0ba6902211543df8e00c2c341bcb7ed", "input": "Let h = 33 - 17. Calculate the lowest common multiple of h and 44.", "output": [ "176" ] }, { "id": "task835-0e05b3a16e254c429890eccf14d619cf", "input": "What is prob of picking 4 y when four letters picked without replacement from yyyyyyyymmmymm?", "output": [ "18/143" ] }, { "id": "task835-669ab55ccc684d429e8c781e36111145", "input": "What is 8.640037 millennia in years?", "output": [ "8640.037" ] }, { "id": "task835-c753ad4c0513441f821beaf6691468ff", "input": "How many millennia are there in 126528.03 months?", "output": [ "10.5440025" ] }, { "id": "task835-450e3af4053b498b9dc4afcec1e2f39a", "input": "Let q(x) = -16*x**3 - 2*x**2 - 2*x - 1. Let y be q(-1). Suppose -t - 6*d + y = -2*d, 24 = 3*t + 5*d. Let l = 11 - t. What is the units digit of l?", "output": [ "8" ] }, { "id": "task835-a386f2907f4e4babbd24993ed4050442", "input": "Let c = -52 - -79. What is the remainder when 53 is divided by c?", "output": [ "26" ] }, { "id": "task835-b003c8671c9a405188519747639fa96a", "input": "Evaluate (-8)/1 - (-7011)/861.", "output": [ "1/7" ] }, { "id": "task835-7c13634f5ec34308b3e1f70fbdf46465", "input": "Solve 0 - 16 = -4*m for m.", "output": [ "4" ] }, { "id": "task835-72ff0270e20b42f2a9d7fbca0215b56a", "input": "What comes next: -90502, -90503, -90504, -90505, -90506?", "output": [ "-90507" ] }, { "id": "task835-5b4df731b4e346f1adaad01c45decaaf", "input": "Calculate prob of picking 1 m, 1 t, 1 n, and 1 r when four letters picked without replacement from {n: 1, r: 2, m: 3, t: 3, l: 1}.", "output": [ "3/35" ] }, { "id": "task835-a41fa37d56f24aa8a36a25f8b1abd28c", "input": "How many decades are there in 11357.523 months?", "output": [ "94.646025" ] }, { "id": "task835-b828dab50bc6400189554823221a55a8", "input": "How many hours are there in fourty-one halves of a day?", "output": [ "492" ] }, { "id": "task835-f16bd2891ddc4c96a2e6f097c7219904", "input": "Calculate -12*3/(-9)*-1.", "output": [ "-4" ] }, { "id": "task835-1f9a107ed0cb465980502e1c5e56fbe7", "input": "What is 62991 to the power of 1/2, to the nearest integer?", "output": [ "251" ] }, { "id": "task835-2a373f813dec4de68947cf59be20d79c", "input": "Solve 9*k - i = 12*k + 10, -k = -3*i for k.", "output": [ "-3" ] }, { "id": "task835-cb2ea9da7b9f4991923896d352f34021", "input": "What is prob of picking 1 q and 1 b when two letters picked without replacement from {j: 3, y: 1, u: 4, t: 2, q: 1, b: 1}?", "output": [ "1/66" ] }, { "id": "task835-5905e5053824456aa66b97a41fb7314b", "input": "Calculate prob of sequence xa when two letters picked without replacement from {a: 2, x: 5}.", "output": [ "5/21" ] }, { "id": "task835-bf3fe83529ce414c8ad363e0ad048bff", "input": "Solve 2*y + 4*v - 7 = 5*y, 0 = 5*y + 4*v + 1 for y.", "output": [ "-1" ] }, { "id": "task835-94e2b8a5967e4c5e85bcd1993c021775", "input": "What is fourty-three halves of a meter in millimeters?", "output": [ "21500" ] }, { "id": "task835-e20b480b4b6e41b5b257c185bf5da605", "input": "What is next in 13, 35, 69, 115?", "output": [ "173" ] }, { "id": "task835-e78ae88e15524903a5a3d49e49659696", "input": "Solve -26 + 18 = -2*q + 5*a, 3*a = -q - 7 for q.", "output": [ "-1" ] }, { "id": "task835-333300ae3325407880e809968010f0d1", "input": "Let r be (0 + -1)*-1*1. Suppose 10 + 0 = 5*l. Suppose -4 = -l*u - 2. Calculate the greatest common divisor of u and r.", "output": [ "1" ] }, { "id": "task835-fdc9392ebbe64b73ad25514af41b94f9", "input": "8 * -0.65", "output": [ "-5.2" ] }, { "id": "task835-b0475e40930843f19c7b438840f7b260", "input": "Let o = 7 + -5. Solve 3*l + 5 = o for l.", "output": [ "-1" ] }, { "id": "task835-51dcbf380edf4efb8e26cf17a39212fd", "input": "Four letters picked without replacement from ppccpppcccccp. Give prob of picking 1 c and 3 p.", "output": [ "28/143" ] }, { "id": "task835-6a8e86c8ac1946818bf410f493f7a1d9", "input": "Let r = 17 - 15. Solve -2*b + r + 0 = 0, 3*v + b = 10 for v.", "output": [ "3" ] }, { "id": "task835-b869cb0f9bd149e8ba6c370d19b08a85", "input": "How many decades are there in 27/5 of a century?", "output": [ "54" ] }, { "id": "task835-5231c39a80ca4451a9dfbc606a99d43f", "input": "Two letters picked without replacement from {f: 1, j: 1, o: 2, a: 1, u: 1, q: 1}. What is prob of picking 1 o and 1 u?", "output": [ "2/21" ] }, { "id": "task835-fd31a2b04ed24b1da7807ea62b47fe41", "input": "What is the units digit of 2/(-11) + (-2916)/(-66)?", "output": [ "4" ] }, { "id": "task835-7da05878ea124078924dd72b02a608d0", "input": "Calculate the common denominator of 23/4 and (-2159)/(-510) - (-2)/(-5).", "output": [ "12" ] }, { "id": "task835-61130e70a11b4649b6c2ef16f14c56a3", "input": "Suppose -u = 3*w - 10, -3*w = -4*w - 2*u. Suppose -w*d + 15 = 3. Solve o = -d*o + 16 for o.", "output": [ "4" ] }, { "id": "task835-96f0ffe8eb23473bb3a3d3e2286b571c", "input": "How many micrograms are there in thirty-four fifths of a milligram?", "output": [ "6800" ] }, { "id": "task835-8a60a2e442964a0e81e9108e4a83caae", "input": "Suppose 2*s - 2*z = 18, -4 = -2*s - z - 1. Suppose -v + 9 + 6 = -s*o, 17 = 3*v + 2*o. What is the units digit of v?", "output": [ "7" ] }, { "id": "task835-1ef25c2e265d4da9b811c788bf30d66b", "input": "Let y(q) = -22*q - 2. Let g be y(-2). Let s be (-1)/(-2) + 875/14. Calculate the highest common divisor of g and s.", "output": [ "21" ] }, { "id": "task835-8e248b7347484e1095f09a43af50a59a", "input": "Let s(z) = -z**3 + 4*z**2 + 7*z + 2. Let g be s(5). Suppose -3*h + 155 + 526 = 0. Let b = 323 - h. What is the highest common divisor of g and b?", "output": [ "12" ] }, { "id": "task835-930e4c273bf444c7b1827a4c9e52fb72", "input": "How many micrograms are there in 3.887588mg?", "output": [ "3887.588" ] }, { "id": "task835-b6656bd835fc4f8ebeeed8aa4c97f139", "input": "Convert 0.5280009 years to decades.", "output": [ "0.05280009" ] }, { "id": "task835-d833a10acd5a47b388e5e7fa1dada043", "input": "What is the seventh root of 226 to the nearest integer?", "output": [ "2" ] }, { "id": "task835-da033777e93440829505c6d4868457fa", "input": "Calculate -44 divided by -7.", "output": [ "44/7" ] }, { "id": "task835-2bccdcd16cf8448695408db8719b3a09", "input": "Let s(r) = -r + 7. Let u be s(6). Let o(j) = 1 + 5 - j + u. Calculate the smallest common multiple of 1 and o(4).", "output": [ "3" ] }, { "id": "task835-56f532234c6d4f8ba26baed68de151c0", "input": "What is 754238.6 millilitres in litres?", "output": [ "754.2386" ] }, { "id": "task835-4da9685a49f74ba2ab0f63027339c18b", "input": "How many milligrams are there in 3/5 of a gram?", "output": [ "600" ] }, { "id": "task835-10d92e3c569040e08ba0f336b76a8324", "input": "What is next in 244, 223, 202?", "output": [ "181" ] }, { "id": "task835-f091ecdb94f74de882a67d5c3832ffc0", "input": "What is prob of sequence ccp when three letters picked without replacement from {p: 15, c: 4}?", "output": [ "10/323" ] }, { "id": "task835-f8ea0f2155b142d1b707e6cceb56aaa5", "input": "What is next in -2102, -8394, -18872, -33530, -52362, -75362?", "output": [ "-102524" ] }, { "id": "task835-88f3b4a571454d669a03aff796a544df", "input": "How many millimeters are there in three fifths of a meter?", "output": [ "600" ] }, { "id": "task835-c950506c398849989039814ef8654f38", "input": "Let k(o) = o**2 + 20*o + 19. Let x be k(-20). Solve 5*r + x = -5*d + 3*r, 4*d + 4*r + 8 = 0 for d.", "output": [ "-5" ] }, { "id": "task835-25f17685bf2349a4bba5e88d5a3af80f", "input": "Suppose -23 = -2*r + r. What is the units digit of r?", "output": [ "3" ] }, { "id": "task835-5d3f621cac1841bf901265e6fa215eda", "input": "Solve 0 = 5*v + 2*s + 16, 2*v + 10 = s - 0 for v.", "output": [ "-4" ] }, { "id": "task835-66e9d77d13e348f0846a80dbf912bf86", "input": "Two letters picked without replacement from yjjzy. What is prob of picking 1 j and 1 z?", "output": [ "1/5" ] }, { "id": "task835-0c39db949f6248499b4f56d588d864ee", "input": "What is 97394.31 days in milliseconds?", "output": [ "8414868384000" ] }, { "id": "task835-e420b410a5824a2aadac782996b10eb8", "input": "Three letters picked without replacement from {q: 2, l: 8}. Give prob of picking 1 q and 2 l.", "output": [ "7/15" ] }, { "id": "task835-0471659a54754c8492e04bd455940af0", "input": "Let p = -21 - -24. Solve -5*o + 3*q - p = -2*o, -2*o + 7 = -5*q for o.", "output": [ "-4" ] }, { "id": "task835-d1f08440eaa74ae1b6211e1f771f665f", "input": "Three letters picked without replacement from hnhhhororxrrrhh. Give prob of sequence ono.", "output": [ "1/1365" ] }, { "id": "task835-3547a301da81444d84378b1dec58ec26", "input": "Calculate prob of sequence woq when three letters picked without replacement from woqcvkc.", "output": [ "1/210" ] }, { "id": "task835-5cc9a183809541a4b78f63cec7f201f6", "input": "Suppose 0 = 5*n - s - 13, 18 = -3*n + 6*n - 4*s. What is the lowest common multiple of 22 and 7 + (n - 3) - 0?", "output": [ "66" ] }, { "id": "task835-b36e270fdadf4584a059d22079f27f2b", "input": "Three letters picked without replacement from jgdjdjjgdudjj. Give prob of picking 3 j.", "output": [ "10/143" ] }, { "id": "task835-7795935ba19041de8d751fa5ce78fd58", "input": "Solve -5*k + 2*k + 2*k = 0 for k.", "output": [ "0" ] }, { "id": "task835-824ea1a938694910a959ea5ec8ff4add", "input": "Calculate prob of sequence zs when two letters picked without replacement from {z: 1, q: 5, s: 5}.", "output": [ "1/22" ] }, { "id": "task835-c1bf6bb6694a404f97c6c72184558171", "input": "Suppose 3*u + 12 = o, 8 = -2*o - 0*u - 2*u. Let l(w) = -5 + 2*w**3 - 3*w**3 + 0*w + o*w**3 - 10*w**2 - w. What is the units digit of l(-10)?", "output": [ "5" ] }, { "id": "task835-1949f331a81a43aa9d7395bee688be4b", "input": "Calculate prob of sequence yyyz when four letters picked without replacement from yyyyzzyzyzyzzyzy.", "output": [ "21/260" ] }, { "id": "task835-b3d968489dd344a68c75116e3f831d6c", "input": "Work out -0.2 * 42.6.", "output": [ "-8.52" ] }, { "id": "task835-ecec9c24b9e54f4891bf138f664be750", "input": "What is the next term in 26, 22, 16, 8, -2, -14, -28?", "output": [ "-44" ] }, { "id": "task835-3232e5fd651242ad8c81d21c75ca0ac0", "input": "Suppose 3*a - 16 = 107. Let t = -17 + a. What is the units digit of t?", "output": [ "4" ] }, { "id": "task835-661bd12fdf394cb785504c1a782d279b", "input": "What is the next term in 5574, 5573, 5572, 5571?", "output": [ "5570" ] }, { "id": "task835-ea62ad82714d4eabbc17f8267790f4b7", "input": "Suppose 3*i = -2*i + 10. Let p be (-3)/(-4) - 294/(-56). Solve -i*u - 20 = -p*u for u.", "output": [ "5" ] }, { "id": "task835-ccf0dc5e08a743bd87c11e74d4863bf3", "input": "Four letters picked without replacement from {c: 1, k: 3, l: 3, e: 2, m: 2, z: 3}. Give prob of sequence clkk.", "output": [ "3/4004" ] }, { "id": "task835-0ffa77aa867e4450b2b24dc4fd797fbc", "input": "How many kilograms are there in 1.618197 nanograms?", "output": [ "0.000000000001618197" ] }, { "id": "task835-1b0f7693cb774732bf27aea7c9bc9912", "input": "What comes next: 24, 104, 326, 762, 1484, 2564?", "output": [ "4074" ] }, { "id": "task835-86c7713262804d06be93f8e72abd2d67", "input": "What is prob of sequence ytt when three letters picked without replacement from {y: 3, t: 8, o: 6}?", "output": [ "7/170" ] }, { "id": "task835-c9e90801d10e42fc808607be644e648d", "input": "Calculate -8 + 3 + 5 - (3 + -1).", "output": [ "-2" ] }, { "id": "task835-4972da6c5f25490abf9cc38151b09430", "input": "How many tonnes are there in 1.663844 kilograms?", "output": [ "0.001663844" ] }, { "id": "task835-094ea517fef443daaaa36d5e701ac4ac", "input": "How many nanoseconds are there in 0.4691662 days?", "output": [ "40535959680000" ] }, { "id": "task835-339cfbd643cc4127b5bab37c2b3f6704", "input": "What is 67/5 of a centimeter in millimeters?", "output": [ "134" ] }, { "id": "task835-9d5b059996c44674b10e518bed60a7c0", "input": "Find the common denominator of (-7)/(-110) + (-1)/5 and -63/20.", "output": [ "220" ] }, { "id": "task835-444ddacff640473a9c5e047fe161f8ce", "input": "0.8*0.1", "output": [ "0.08" ] }, { "id": "task835-d5fa33f59e3246d5b3fbdc348d10c5c4", "input": "Let m(u) = -u**2 + 17*u - 19. Let p be m(13). Let i be (-42)/(-9)*p/2. Calculate the highest common factor of 11 and i.", "output": [ "11" ] }, { "id": "task835-828ebd258ed1462bbf169426c7ce0722", "input": "Solve 0 = -4*v + 2*z + 18, 4 = 3*v + z - 7 for v.", "output": [ "4" ] }, { "id": "task835-456ae8bff0ce44f491318d3a2f4e50a0", "input": "What is seven halves of a day in minutes?", "output": [ "5040" ] }, { "id": "task835-6ea9126bfdd84123821694948fa472bd", "input": "Calculate prob of picking 2 d and 1 b when three letters picked without replacement from {i: 2, j: 1, l: 1, b: 1, d: 2}.", "output": [ "1/35" ] }, { "id": "task835-13282065194840b3a9da48d04df61860", "input": "Suppose 6*u - 226 = 92. Calculate the remainder when u is divided by 14.", "output": [ "11" ] }, { "id": "task835-9f25eb5b9bc04e2e8ff12bede733de3c", "input": "What is 0.572882mm in nanometers?", "output": [ "572882" ] }, { "id": "task835-66e4eaa35ddc484681b83c44a0adc07d", "input": "What is -2 divided by -525?", "output": [ "2/525" ] }, { "id": "task835-80b75662d4424708974a9ec80bab5dba", "input": "Let n = 2 - -4. Let f be n*2*(-15)/(-9). Calculate the highest common factor of 50 and f.", "output": [ "10" ] }, { "id": "task835-8f0297a7cee64d399d33c76e3d890c75", "input": "Calculate the remainder when 47 is divided by (36/(-15))/(1/(-5)).", "output": [ "11" ] }, { "id": "task835-9dd252273dbf4409af87c4466c585f4d", "input": "How many millennia are there in 6.620795 decades?", "output": [ "0.06620795" ] }, { "id": "task835-142b0df1b1a543baa453d0c50e335ca6", "input": "Calculate prob of sequence dg when two letters picked without replacement from {d: 4, u: 1, g: 5, o: 5}.", "output": [ "2/21" ] }, { "id": "task835-4a75238ae4884153ba4eb7b95b60cfc4", "input": "Two letters picked without replacement from {d: 1, c: 2, j: 2, v: 1}. Give prob of picking 1 c and 1 j.", "output": [ "4/15" ] }, { "id": "task835-8dad2f807f9846f78bf8f423e78bf2ad", "input": "How many tonnes are there in 2430.25 milligrams?", "output": [ "0.00000243025" ] }, { "id": "task835-a9f10c7092aa48d2b40a4b3b933f4049", "input": "What is next in -262, -266, -270, -274, -278, -282?", "output": [ "-286" ] }, { "id": "task835-f0136e1bb06b4270ae257212482a57d8", "input": "How many years are there in eleven quarters of a millennium?", "output": [ "2750" ] }, { "id": "task835-5c1a5a3bb6dc4b5b8e94eb65921757d2", "input": "Calculate prob of picking 2 n and 1 q when three letters picked without replacement from {j: 2, n: 5, q: 8}.", "output": [ "16/91" ] }, { "id": "task835-f53c9c849aa84a66ab122546de20abd8", "input": "Solve 5*u + 3*w = 4*u + 4, 20 = 5*u + 4*w for u.", "output": [ "4" ] }, { "id": "task835-203e79c120b3411db1f17cc3d5d25db9", "input": "Let i = 338 + -725/2. What is the common denominator of i and 125/18?", "output": [ "18" ] }, { "id": "task835-ba8d592498804e96a1ea979f33aba751", "input": "What is twenty-one eighths of a centimeter in micrometers?", "output": [ "26250" ] }, { "id": "task835-c63e3ba1ace645f8827ca0950eb05cf6", "input": "0.146*1", "output": [ "0.146" ] }, { "id": "task835-4f38ff6b47a84312b4effd8b9a40736c", "input": "Let w(o) = o + 12. Calculate the lowest common multiple of w(10) and 22.", "output": [ "22" ] }, { "id": "task835-66040e7c42284832893a53db86346b82", "input": "Solve -7*a + 6*a = 4 for a.", "output": [ "-4" ] }, { "id": "task835-4d65bc27acc54973a46a46d9d8a07ce9", "input": "Sum -10 and -52539.", "output": [ "-52549" ] }, { "id": "task835-bde7e3b30e2d44b5b5e17c57eedb28ed", "input": "Solve 0 = -4*j - 906 + 894 for j.", "output": [ "-3" ] }, { "id": "task835-3b637d8555a64666a467cf0a8fe41f69", "input": "What is seventy-seven fifths of a litre in millilitres?", "output": [ "15400" ] }, { "id": "task835-fa44a0679f6846b485fd45f23c85091a", "input": "Calculate prob of picking 4 b when four letters picked without replacement from bddbbdbdbddbbbdbbddb.", "output": [ "22/323" ] }, { "id": "task835-4b01a693562244f1ba167697c031af5b", "input": "What is prob of picking 1 o and 3 f when four letters picked without replacement from offeonffeooffeoop?", "output": [ "6/119" ] }, { "id": "task835-e3d2a8e4d80b4d58a6e6d35913b65172", "input": "What is prob of picking 3 h and 1 t when four letters picked without replacement from {h: 6, n: 4, t: 5}?", "output": [ "20/273" ] }, { "id": "task835-a9ff99fee6aa453fa4d292707226505a", "input": "What is the next term in -1034, -1033, -1032?", "output": [ "-1031" ] }, { "id": "task835-218a9285b2484e1caae7357af7e0155d", "input": "What is 13/4 of a century in months?", "output": [ "3900" ] }, { "id": "task835-9330c8cd43dc4d899a978bcafba99968", "input": "Four letters picked without replacement from aaaa. Give prob of sequence aaaa.", "output": [ "1" ] }, { "id": "task835-92f091dedd2144408d027d9a10200408", "input": "Let m = 3 - 2. Let v(x) = x**2 + x - 1. Let b(c) = c**2 + 7*c + 2. Let u(t) = m*b(t) - 2*v(t). Let r be u(5). Solve -s - 6 = -w, 0*s = 3*s + r*w + 4 for s.", "output": [ "-4" ] }, { "id": "task835-68d5ec86f7e24cc6aeec4048ac8140be", "input": "Suppose -q = 4*q. Suppose 0 = 3*t - 0*p + 3*p - 39, t - 4*p - 8 = q. What is the tens digit of t?", "output": [ "1" ] }, { "id": "task835-1c6c8e4831bd4fa49956d0cf4c740705", "input": "Suppose -4*g + 296 = -2*b, 4*b = -5*g + 3*b + 377. What is the greatest common factor of g and 25?", "output": [ "25" ] }, { "id": "task835-f04b365dee0c4ae0919f888b55d8d684", "input": "What is next in -1, -3, -5?", "output": [ "-7" ] }, { "id": "task835-fbbf02648b3e4309997f244bbd4d0280", "input": "Suppose -5*j + 6*j - 5 = 0. Solve j*y - 5 = -3*u, 5*y - u = -1 - 14 for y.", "output": [ "-2" ] }, { "id": "task835-c1bf146ed6814ffb8b2710958c11ebd1", "input": "Two letters picked without replacement from {r: 2, p: 5, h: 5, f: 1, v: 3}. What is prob of sequence pf?", "output": [ "1/48" ] }, { "id": "task835-a5fe68c6eb9849099aa507b819d7b1a5", "input": "Two letters picked without replacement from fvllxflfffvffk. Give prob of sequence vl.", "output": [ "3/91" ] }, { "id": "task835-ec6a782071c742f88163c7ef7964f821", "input": "Calculate prob of picking 1 w and 1 z when two letters picked without replacement from {z: 1, w: 2, s: 3, l: 4}.", "output": [ "2/45" ] }, { "id": "task835-326d9103ba3545989e8f98eb365bf223", "input": "Solve -m + 7 = 3*l - 10, -3*l + 2*m + 11 = 0 for l.", "output": [ "5" ] }, { "id": "task835-46015333391b404b8e7120df75460d5f", "input": "What is the value of (-4 - -6) + (0 - -1) + 0?", "output": [ "3" ] }, { "id": "task835-430c962488c14ca7a2c5be041d4a54a0", "input": "Let d be (0 + -33)*(-21)/9. Let k be (10 - 4)/(2/3). Let j be -4*3/(-6) + k. Calculate the highest common divisor of j and d.", "output": [ "11" ] }, { "id": "task835-0bbff72630a14c0b95b68c9e92987d27", "input": "Calculate prob of picking 1 v and 2 p when three letters picked without replacement from pvxpx.", "output": [ "1/10" ] }, { "id": "task835-bc37a59986c9443f9c1c07d815a796f0", "input": "What is the next term in -16, -181, -632, -1513, -2968, -5141?", "output": [ "-8176" ] }, { "id": "task835-c8a4866e2c7641cfaadf6a3e664ccea8", "input": "Calculate prob of sequence cw when two letters picked without replacement from {a: 2, v: 2, x: 3, t: 2, w: 2, c: 1}.", "output": [ "1/66" ] }, { "id": "task835-317c38a191ac49dfb38bb9eb06b35143", "input": "9 - -4 - 6 - 7 - 1", "output": [ "-1" ] }, { "id": "task835-d7eebac710464e4491d2ba7b3fb00a15", "input": "Two letters picked without replacement from dhxhhdhufehhfdexhe. What is prob of sequence xd?", "output": [ "1/51" ] }, { "id": "task835-b1ba5634af9245fc860d520fd3418725", "input": "Let y(b) = -b**2 + 2*b + 4. Let i be y(6). Let j be (i/(-12))/(2/6). Solve 0 = -j*x - 11 + 1 for x.", "output": [ "-2" ] }, { "id": "task835-a9cabaad4fcd44afa9661631eeab5be5", "input": "What comes next: 222, 901, 2026, 3591, 5590, 8017, 10866, 14131?", "output": [ "17806" ] }, { "id": "task835-7688e1b3e96741f18d3e822499b97653", "input": "Calculate -1 - (4 - -2) - -3.", "output": [ "-4" ] }, { "id": "task835-7eeab735999c47c891c800dcb7226787", "input": "What is 41/2 of a litre in millilitres?", "output": [ "20500" ] }, { "id": "task835-d57b81716738488c9ac2824c0655e614", "input": "Let b(l) = l**3 - 2*l**2 - 3*l. Let g be b(3). Solve g*f + 15 = -3*f for f.", "output": [ "-5" ] }, { "id": "task835-268580a5c8014ee9a7bbb67479e262c3", "input": "Convert 0.6903504 millennia to decades.", "output": [ "69.03504" ] }, { "id": "task835-3900f8a83a6743f7b05a1bdab5795623", "input": "What is the value of (168/(-36) - -5)*-18?", "output": [ "-6" ] }, { "id": "task835-3dabab3941074cf789a019e755e9c5f7", "input": "How many minutes are there in seven fifteenths of a hour?", "output": [ "28" ] }, { "id": "task835-9d230842a2b647fbb3c148235615c86a", "input": "What is -2 + 0 + 0 + 2 + 5?", "output": [ "5" ] }, { "id": "task835-bea5c4b82c1243c998d2edf279771aa4", "input": "Three letters picked without replacement from {o: 3, v: 2}. What is prob of sequence vvo?", "output": [ "1/10" ] }, { "id": "task835-e1c07713e9e34d6d882de7d248c2bda3", "input": "Calculate 11.68506 - 0.2.", "output": [ "11.48506" ] }, { "id": "task835-c07b27371c6c41d986a964e332fe3735", "input": "Two letters picked without replacement from naioiaaiaaaia. Give prob of picking 1 n and 1 i.", "output": [ "2/39" ] }, { "id": "task835-afe8147f25294bb489207658044722de", "input": "What is 21/4 of a microgram in nanograms?", "output": [ "5250" ] }, { "id": "task835-b41b5f0767364dcc8a5455d693e0fb6c", "input": "How many months are there in five quarters of a year?", "output": [ "15" ] }, { "id": "task835-dcfda786f95045548ae606ad3221dc0e", "input": "Calculate (-65)/78 + 4/(-24).", "output": [ "-1" ] }, { "id": "task835-e7abbdb6192c4839adc67b0a7db0ed94", "input": "-1 + 0 + 11 + -12 - 2", "output": [ "-4" ] }, { "id": "task835-5325f05701754e618b09b7b6af9be0ed", "input": "How many grams are there in 91.7816ng?", "output": [ "0.0000000917816" ] }, { "id": "task835-b5a63608e8d84e23a21c9f53a664c18e", "input": "Suppose -16 = 2*z + 2*z, 72 = 4*q - 4*z. Let x = q + -10. Suppose -f + x = -4. Solve i = 5*i - f for i.", "output": [ "2" ] }, { "id": "task835-7f210d21285e44caa815e069dc2fc69a", "input": "Solve 20*k + 26 = -14 for k.", "output": [ "-2" ] }, { "id": "task835-bd63969bb0b948aa8a442522bddf5390", "input": "Convert 8104.472ml to litres.", "output": [ "8.104472" ] }, { "id": "task835-c136b52ea96b4d9289cf087639a46bd5", "input": "What is prob of sequence vc when two letters picked without replacement from zqjzzvvzozqvcq?", "output": [ "3/182" ] }, { "id": "task835-9170be0dddc14b9badd21092bee1d52b", "input": "How many millilitres are there in 42/5 of a litre?", "output": [ "8400" ] }, { "id": "task835-294a23aec4a7466e9c329d61af6debd0", "input": "Let w = -31583/220 - -1550/11. What is the common denominator of -97/10 and w?", "output": [ "20" ] }, { "id": "task835-fce9d3d99f2e486fbb4a3d8c061044d4", "input": "Suppose 0 = 4*j - 3*k - 17 - 5, j - 3*k = 1. Suppose -h - 3*p = h - 22, h + j = 3*p. Calculate the greatest common divisor of 35 and h.", "output": [ "5" ] }, { "id": "task835-1ff900e57aea4b18ad126d45c22886e4", "input": "Two letters picked without replacement from {v: 1, d: 1, j: 5, y: 5}. Give prob of picking 2 j.", "output": [ "5/33" ] }, { "id": "task835-5fec7a2dcad84765a21724217490feb4", "input": "Suppose v + 5 = 10. Suppose -4*b = 4*d - 3*d - 23, -3*b = -v*d. Let h(q) = -q - 1. Let j be h(-4). Solve j = -2*t - d for t.", "output": [ "-3" ] }, { "id": "task835-479a907fa41b47c0a5119ec3e8eec76c", "input": "Calculate (492/(-287))/((-30)/(-21)).", "output": [ "-6/5" ] }, { "id": "task835-59c79585667c47f6bccccd0ec145959d", "input": "Let b(o) = -o**3 + 3*o**2 + 8*o + 15. Let q be b(5). Solve 0 = q*g - 13 + 3 for g.", "output": [ "2" ] }, { "id": "task835-c11e84e7791941bf9e225e96d84438cf", "input": "Suppose -3*n + 16 = -d, 0*n - 5*d = 3*n - 10. Let k = n + -3. Suppose 0 = k*g - g - 14. What is the greatest common factor of 28 and g?", "output": [ "14" ] }, { "id": "task835-46f532f17b554df8b7c4cf607b6a6b26", "input": "Let y(i) = -i**3 + 9*i**2 + 12*i - 14. Let n be y(10). Calculate the highest common factor of n and 42.", "output": [ "6" ] }, { "id": "task835-46da4b33bf3040cd8a3e95b6088dacab", "input": "Two letters picked without replacement from {v: 5}. What is prob of sequence vv?", "output": [ "1" ] }, { "id": "task835-ae6fd88c7e724a5096438b74337fb1fe", "input": "Solve 2*a = -a + 12 for a.", "output": [ "4" ] }, { "id": "task835-50363c920fe94232bd7ffdcc32bef904", "input": "Let d(l) = l**2 - 3*l. Let x = 2 + 0. Suppose -x*b + 13 = 1. Calculate the remainder when d(5) is divided by b.", "output": [ "4" ] }, { "id": "task835-421453cfe0ef4f7cae94e773c68e3087", "input": "Calculate -47 - 135639.", "output": [ "-135686" ] }, { "id": "task835-d58968b6761f4583a0d2c15d5e20ee7a", "input": "Convert 152.23146 months to years.", "output": [ "12.685955" ] }, { "id": "task835-f36aeee3db724d008b674ab2048bcad9", "input": "Suppose 60*x + 70 = 65*x. Calculate the highest common factor of x and 21.", "output": [ "7" ] }, { "id": "task835-a7994d78816d4fdb97eb56985114f938", "input": "Convert 0.3050609nm to millimeters.", "output": [ "0.0000003050609" ] }, { "id": "task835-03cddf19151b407f8f5ab385fb89be49", "input": "Let s(f) = -f**2 - 3*f - 2. Let l be s(-2). Solve -5 = -h - l, 2*h = 5*b + 35 for b.", "output": [ "-5" ] }, { "id": "task835-f42700a46e4344aeab11c6609c6e3746", "input": "What is 4.486637 decades in millennia?", "output": [ "0.04486637" ] }, { "id": "task835-3e709c9c73044bc3a6a229e8f638de66", "input": "Let m = 3 + -1. Suppose -8 - 14 = -m*q. Calculate the remainder when q is divided by 6.", "output": [ "5" ] }, { "id": "task835-6fd2d43f084344cb91e11c359f7f52ba", "input": "What is seven quarters of a tonne in kilograms?", "output": [ "1750" ] }, { "id": "task835-d2d3b0b6d31644e2ac807982a032019b", "input": "In base 13, what is -8b - -3?", "output": [ "-88" ] }, { "id": "task835-26b93b153caa4dfb893d6d370b119027", "input": "How many micrograms are there in thirty-one halves of a milligram?", "output": [ "15500" ] }, { "id": "task835-c8f9abb929bd4bca947cca2cd909c4b0", "input": "Convert 999730.1km to millimeters.", "output": [ "999730100000" ] }, { "id": "task835-2daea68a642447a88cee1a11ba583baf", "input": "Calculate prob of sequence ggrr when four letters picked without replacement from {r: 2, b: 6, t: 6, g: 4}.", "output": [ "1/3060" ] }, { "id": "task835-dd6c8e374f644daeba9ad1fcee894554", "input": "Work out 5 - -525.", "output": [ "530" ] }, { "id": "task835-d6f3867777b948b6bef9e12c1e003da4", "input": "How many millilitres are there in 1/4 of a litre?", "output": [ "250" ] }, { "id": "task835-55d3bf62371d4549a21547cd3ac2f35f", "input": "Suppose -5*b = -4*l - 14, 3*b + 4 = 6*b + 2*l. Let c(a) be the second derivative of a**3/6 - 2*a**2 + a. What is the remainder when c(7) is divided by b?", "output": [ "1" ] }, { "id": "task835-94b81b2656ac48eaa62fd8a1494c3622", "input": "Suppose 0 = 3*j + 8 - 20. Suppose 23 = j*y - 89. Solve 2*x = 4*a - y, -4*x + 5*a - a = 36 for x.", "output": [ "-4" ] }, { "id": "task835-777e3643c51346beaf77f9e4db3e77a7", "input": "Let x(y) = 16*y**3 - 17*y**3 + 0*y + 9*y**2 - 2*y**2 - 8 + 11*y. Calculate the least common multiple of 20 and x(8).", "output": [ "80" ] }, { "id": "task835-e8ace7bfaa8343649b9866695ea51cf8", "input": "What is 3/40 of a day in minutes?", "output": [ "108" ] }, { "id": "task835-c559184a2e124ea6ad4b2d47a2de8b79", "input": "What is prob of picking 1 h and 2 p when three letters picked without replacement from {h: 1, e: 3, p: 2, n: 6, q: 1}?", "output": [ "1/286" ] }, { "id": "task835-18090c7a5fee48edb708b90ca5f5321a", "input": "How many hours are there in 3365872.2 microseconds?", "output": [ "0.0009349645" ] }, { "id": "task835-6ffa23207d39457584625e82e6b04a80", "input": "Suppose -4*w - 3*h = -22, 0*w + w + h = 6. Calculate the remainder when 6 is divided by w.", "output": [ "2" ] }, { "id": "task835-1e64fd9eb6c347d8824ba04d1da65d42", "input": "Let m be 6*(1 - 70/4). Let v = m - -145. Suppose -2*x + 24 = -8. Calculate the remainder when v is divided by x.", "output": [ "14" ] }, { "id": "task835-597c227b0f0042689a6a13a5c1d3c3d1", "input": "What is next in 4036, 4035, 4034, 4033, 4032, 4031?", "output": [ "4030" ] }, { "id": "task835-06db1d6f659e477985087a9541e67c19", "input": "Convert 6168.305 micrograms to nanograms.", "output": [ "6168305" ] }, { "id": "task835-33247b2b7ef94dc8a9bea2e8b209da94", "input": "What is 80.3717 days in minutes?", "output": [ "115735.248" ] }, { "id": "task835-4059581ed8b24e7b98aed2232a007302", "input": "What is -0.4 plus -49.921?", "output": [ "-50.321" ] }, { "id": "task835-ec7301509b7341b08dbd365fab84873f", "input": "What is the difference between 307 and 0.11?", "output": [ "306.89" ] }, { "id": "task835-7c239f5c72784f2fb9c894474b3e9108", "input": "Let a(y) = -y**3 + 5*y**2 - 5*y + 5. Let f be a(4). Suppose l - b + f = 10, 4*l - 32 = 3*b. Solve -2*d - 4*o - 4 = 0, -3*o = l*d - 1 - 10 for d.", "output": [ "4" ] }, { "id": "task835-70faf45fab65473098e49392bc34ee17", "input": "In base 14, what is -47 - 22?", "output": [ "-69" ] }, { "id": "task835-d9151d94d2fd4b67b4c52ce2e381b6b2", "input": "Three letters picked without replacement from nnzluzzmlnmlmmzmmzlb. What is prob of picking 2 l and 1 z?", "output": [ "1/38" ] }, { "id": "task835-b8beb259f206414c8d60b77586e31c0a", "input": "Suppose 6*i + 2 = -10. Let h(m) be the second derivative of -2*m**3/3 + m**2 - m. Let u be h(i). What is the greatest common divisor of u and 4?", "output": [ "2" ] }, { "id": "task835-aeb904ce1225448a9bee2841a61d1d76", "input": "Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {v: 8, h: 1, c: 8}.", "output": [ "8/17" ] }, { "id": "task835-8c1457833d484d5089461a519c777356", "input": "Solve 2*o + 0 = -w - 10, 0 = w - o + 1 for w.", "output": [ "-4" ] }, { "id": "task835-443e904fb2c64b299ac89854d33d5618", "input": "Evaluate 7 + (-1 - -6) + 13 + -21.", "output": [ "4" ] }, { "id": "task835-31ae23d5a7624331930ed2b1e0c9fd47", "input": "Four letters picked without replacement from {f: 8, g: 8, q: 2}. What is prob of sequence gggf?", "output": [ "28/765" ] }, { "id": "task835-f679a5e196634072bc7f709fe21955da", "input": "How many years are there in three fifths of a century?", "output": [ "60" ] }, { "id": "task835-22d68c078074462d91689f3e460f828a", "input": "Solve 23*o = 21*o - 4*u + 18, 4*o - 2*u + 14 = 0 for o.", "output": [ "-1" ] }, { "id": "task835-4d51a293978d445e8870fb86c63a56f7", "input": "Suppose 13*t = 9*t + 60. Suppose 26 = d - 139. What is the greatest common factor of t and d?", "output": [ "15" ] }, { "id": "task835-e10a285113ce4b88bd7d3f1867c1e1be", "input": "Let p = 54 + -49. Solve -13 - 12 = -p*h for h.", "output": [ "5" ] }, { "id": "task835-a4868d179d9d41bd81d8922a9997d796", "input": "What is the next term in 51, 99, 147, 195, 243?", "output": [ "291" ] }, { "id": "task835-495ef21ffff84bb38f92c2a51aeb4826", "input": "Let h = 22 - 9. Let u = 3 + h. What is the remainder when u is divided by 9?", "output": [ "7" ] }, { "id": "task835-28bd5296ff3a400499fb3673fbf185b3", "input": "Suppose 15 = 5*i - 2*i. Suppose -23 = i*w - 103. What is the units digit of w?", "output": [ "6" ] }, { "id": "task835-cb6f51cc94f0404699e07331053907c8", "input": "Let n be 13 + (-4)/4 + -3. Solve 4*i - 3 = -2*m + n, i + 4*m = 10 for i.", "output": [ "2" ] }, { "id": "task835-aa9f66e881104e85b7582f5af5380cfa", "input": "Calculate prob of sequence ppy when three letters picked without replacement from {y: 2, p: 2}.", "output": [ "1/6" ] }, { "id": "task835-1d1b89a6c9754e64b259a9439f72a0e3", "input": "Suppose -3 = -2*g + 7. Let j = g - -8. Calculate the greatest common divisor of 143 and j.", "output": [ "13" ] }, { "id": "task835-9e828713f0aa42129661d0c76553de04", "input": "What is 0 to the power of 1/3, to the nearest integer?", "output": [ "0" ] }, { "id": "task835-29cd37783bf646158c6dfb50fe00b91e", "input": "Four letters picked without replacement from brrbbb. What is prob of picking 2 b and 2 r?", "output": [ "2/5" ] }, { "id": "task835-e8b587a7a7db47bfa0e5dc86a5b3c38e", "input": "What is eleven halves of a litre in millilitres?", "output": [ "5500" ] }, { "id": "task835-d7d6768e66744449a86ebf8f91726bb9", "input": "Solve -4*r = -4*i - 3 + 15, 5*r = 2*i - 6 for r.", "output": [ "0" ] }, { "id": "task835-0be3e36030454d3286e10c1a055e611e", "input": "What is 1/10 of a microgram in nanograms?", "output": [ "100" ] }, { "id": "task835-93da4727a7f24baaaedd15d150d641e4", "input": "What is 1.575664 grams in kilograms?", "output": [ "0.001575664" ] }, { "id": "task835-b56beca85aa643c3a53c8633853fa46a", "input": "What is the third root of 102 to the nearest integer?", "output": [ "5" ] }, { "id": "task835-3aef000735d84e52a6caced7b7dc91b7", "input": "What is 0.927 take away -298.7?", "output": [ "299.627" ] }, { "id": "task835-409dffd9f052407e81483c44acd8fe9f", "input": "What is the units digit of -64*(0 - (-28)/(-8))?", "output": [ "4" ] }, { "id": "task835-a00352295359463fb4cd3e6c0d45c9ad", "input": "How many nanometers are there in 985805.4m?", "output": [ "985805400000000" ] }, { "id": "task835-ca8aaeacc8d14583a7ceb5c4ddd7f76d", "input": "In base 16, what is 4 + e?", "output": [ "12" ] }, { "id": "task835-8ddc5fe5666d462692b172daa0ed60b2", "input": "Solve 0 = 5*f - 24 + 14 for f.", "output": [ "2" ] }, { "id": "task835-bd70fc8999b740d38a053b39aaf54f9f", "input": "What is the value of (-12)/(-6)*1/(-7)?", "output": [ "-2/7" ] }, { "id": "task835-599dfcaa802a4692b93f90731fb97651", "input": "Solve -12*j - 17 = 43 for j.", "output": [ "-5" ] }, { "id": "task835-c089996169d54716aff3e1cac956fc04", "input": "Three letters picked without replacement from aarahhhhhhnsarh. Give prob of sequence hhn.", "output": [ "1/65" ] }, { "id": "task835-75f4e3d2032e48fe9ec0fb4b74639fdc", "input": "Two letters picked without replacement from {m: 1, j: 1, v: 1, h: 2, d: 1, t: 1}. Give prob of picking 1 d and 1 j.", "output": [ "1/21" ] }, { "id": "task835-11565125b9954739b1c9f791d4fa70b1", "input": "Suppose -5*j + 318 + 17 = 0. Let p be j*3/(-6)*-2. Suppose -p = 2*c - 227. What is the highest common factor of 16 and c?", "output": [ "16" ] }, { "id": "task835-0f24a278581a4988af0f3df55793c092", "input": "What is three fifths of a millennium in centuries?", "output": [ "6" ] }, { "id": "task835-e39103fb406f4087ac533a14040a9e42", "input": "What comes next: -27, -49, -73, -99?", "output": [ "-127" ] }, { "id": "task835-f78d786a97454b27bce5ef8b8629301a", "input": "Calculate prob of sequence ely when three letters picked without replacement from elylllllllllllllll.", "output": [ "1/306" ] }, { "id": "task835-cd9408a45ff24d0fbf4c9ffee98907bd", "input": "Let g = -11 - -23. Calculate the highest common divisor of g and 8.", "output": [ "4" ] }, { "id": "task835-426598ba750a4f6d9a7ba99b29a5ed98", "input": "Suppose -2 = 4*y - 2*n - 14, -4 = 2*n. Let i(l) be the third derivative of l**5/60 + l**4/8 - l**3/6 + l**2. What is the units digit of i(y)?", "output": [ "9" ] }, { "id": "task835-0354d1ab2c344fff8f162bd5f24eb507", "input": "Let g = -109 - -229. What is the highest common factor of 80 and g?", "output": [ "40" ] }, { "id": "task835-2529a1f33b6448fcbff5518facdfa904", "input": "Solve 4*z - a + 14 = -9, a + 22 = -5*z for z.", "output": [ "-5" ] }, { "id": "task835-8a2ec152a42644dcadd6fa40b0d67210", "input": "Suppose -13 - 5 = 3*x. Let p be (2 - (1 - 1)) + x. What is the remainder when 5 is divided by 1*(0 - (p - -1))?", "output": [ "2" ] }, { "id": "task835-87f55d98757b4c528dac50ab4f70f235", "input": "Convert 5272.542 nanograms to grams.", "output": [ "0.000005272542" ] }, { "id": "task835-5a017be174704103a289c82f72662918", "input": "How many months are there in 7/6 of a year?", "output": [ "14" ] }, { "id": "task835-547581b8ba02461c8193d53afc8bc934", "input": "Solve -3*d + 0*d = -3 for d.", "output": [ "1" ] }, { "id": "task835-5bcfff16315a440f964e400417b043cf", "input": "Two letters picked without replacement from aaaaaannananaa. What is prob of sequence na?", "output": [ "20/91" ] }, { "id": "task835-b4aab49a80804dbf9f03aedd54fff99f", "input": "How many seconds are there in 31/5 of a minute?", "output": [ "372" ] }, { "id": "task835-be65479c791c49a4842dfb254df6949f", "input": "What is prob of picking 2 v and 1 x when three letters picked without replacement from xmxvxmvvmmxmvx?", "output": [ "15/182" ] }, { "id": "task835-0f923335a3344c0db5ee58f25a27c233", "input": "Convert 8112.424cm to nanometers.", "output": [ "81124240000" ] }, { "id": "task835-096c4445c87c4777bdc155f84189aa4e", "input": "What is 19/4 of a micrometer in nanometers?", "output": [ "4750" ] }, { "id": "task835-45e12e50a1544d6aad4513c71402ca80", "input": "What is prob of sequence rr when two letters picked without replacement from {r: 8, x: 3}?", "output": [ "28/55" ] }, { "id": "task835-b03334ad05b24ca182d687e810454d1d", "input": "Convert 0.0206712 weeks to microseconds.", "output": [ "12501941760" ] }, { "id": "task835-c916d5bfd28e405790bd02f49ce07c97", "input": "Two letters picked without replacement from {a: 3, x: 4, e: 10, t: 1}. What is prob of sequence xx?", "output": [ "2/51" ] }, { "id": "task835-dc6928a3db754e9bbf3200da53de3387", "input": "Let p = -12 + 20. Let q(c) = c**3 - 4*c**2 + 2*c - 5. Let k be q(4). Let l be k - 2 - (-1 - -1). Calculate the greatest common factor of l and p.", "output": [ "1" ] }, { "id": "task835-2095b6b723eb414983558b86b114f20c", "input": "In base 12, what is 1 - -24?", "output": [ "25" ] }, { "id": "task835-db6ea62702154f249c0673c987d826dc", "input": "Convert 1501014.3 months to millennia.", "output": [ "125.084525" ] }, { "id": "task835-718c42df38c64df0af501332c293022d", "input": "What comes next: -81, -90, -111, -150, -213, -306?", "output": [ "-435" ] }, { "id": "task835-79a019e2b49146fb8d916c9b3b941925", "input": "Calculate (144/108)/((-20)/6).", "output": [ "-2/5" ] }, { "id": "task835-8bb0331872114c498f5bb7e3ab756b3c", "input": "How many days are there in 3.7373391 minutes?", "output": [ "0.002595374375" ] }, { "id": "task835-51c83016c72844eeb80b62efd6f2309c", "input": "Solve -4*f + 3*t + 2 = 0, 0*t = 4*f + 2*t - 12 for f.", "output": [ "2" ] }, { "id": "task835-b0eb780f564948e69c022024769c3d6f", "input": "Evaluate -4*12/(-2016)*-4.", "output": [ "-2/21" ] }, { "id": "task835-f7b99de84f704f03bba4502e39d7cb7b", "input": "Solve -4*u + 63 = 71 for u.", "output": [ "-2" ] }, { "id": "task835-5e68db4ea09444aaba05048bdcaa2bb8", "input": "How many millilitres are there in 7881.197 litres?", "output": [ "7881197" ] }, { "id": "task835-ff5ea32d655541ad894b8a21bea3f7c6", "input": "What is one twentieth of a litre in millilitres?", "output": [ "50" ] }, { "id": "task835-27566cc524e14dcb8bb5ddefdfea512f", "input": "How many nanograms are there in 6726.04kg?", "output": [ "6726040000000000" ] }, { "id": "task835-2392d0d1d2be4b6792b5b8655ce47de0", "input": "What is 32991.37l in millilitres?", "output": [ "32991370" ] }, { "id": "task835-931e868d0608442ca7596520e0e2d786", "input": "What is 5888.181s in nanoseconds?", "output": [ "5888181000000" ] }, { "id": "task835-a26b3d18b81b40b5a3d0ad6ad0373cb5", "input": "Solve -7*l = 69 - 76 for l.", "output": [ "1" ] }, { "id": "task835-f3ee8e5d174c4f639890c9a7eda0d260", "input": "Three letters picked without replacement from gggppgfffwgppggfwd. What is prob of picking 1 f, 1 d, and 1 g?", "output": [ "7/204" ] }, { "id": "task835-8ab80ab07e0244ba94adf2e45447a3c9", "input": "What is 49067.84ng in micrograms?", "output": [ "49.06784" ] }, { "id": "task835-765ddc0e2d564b29a3e9a7ed158c1de5", "input": "What is prob of picking 1 u and 3 f when four letters picked without replacement from wfffsmfwu?", "output": [ "2/63" ] }, { "id": "task835-6d50a2e71fd54e45a37b371fc6046d6a", "input": "What is 10720 to the power of 1/5, to the nearest integer?", "output": [ "6" ] }, { "id": "task835-89f028ace4ea4309b27be82b8f96ee08", "input": "How many millilitres are there in eleven eighths of a litre?", "output": [ "1375" ] }, { "id": "task835-ef86dc6f36ef422d9e3e4d478e84af4f", "input": "Find the common denominator of ((-27)/(-21))/((-18)/12) and -67/8.", "output": [ "56" ] }, { "id": "task835-cf82dc1d93784189b636be419a96bb8f", "input": "What is one quarter of a century in months?", "output": [ "300" ] }, { "id": "task835-4fe025fc4ea94ba8842b199b15bb5bfb", "input": "Four letters picked without replacement from diraiiraamamrmaamaa. Give prob of picking 1 d, 2 m, and 1 r.", "output": [ "3/646" ] }, { "id": "task835-a52836c3893e4632a899d406e2ebf9be", "input": "Let d = -54 + 80. Suppose 4*q - d = 2*i, 6 = 5*q + 3*i - 10. Let c be 4/(-10) - (-27)/q. Solve -c*x = -3*g + 8*g - 15, -3*x = 2*g - 7 for x.", "output": [ "1" ] }, { "id": "task835-1841b860958c4408b4e7f55c57ef49c4", "input": "Three letters picked without replacement from swdsswkswsdsskwws. Give prob of sequence sdd.", "output": [ "1/255" ] }, { "id": "task835-3de39d4c1bbf48a1a66468f33ff7c323", "input": "Suppose -5*b = -21 - 609. What is the units digit of b?", "output": [ "6" ] }, { "id": "task835-97a2be9b14e045efab18eab62f14f91c", "input": "Suppose 4*x - 4 = 4. Suppose 4*i + 114 = -2*m, -2 = -3*i - 4*m - 85. Let n = 41 + i. Solve 16 = -4*y - t, -5*y + 2*t - n = -x*y for y.", "output": [ "-4" ] }, { "id": "task835-bba50359af2a46679ea9426d90498a67", "input": "What is prob of sequence do when two letters picked without replacement from odoo?", "output": [ "1/4" ] }, { "id": "task835-b94783e8efc84feabe2fb6971a9c7a9a", "input": "How many centimeters are there in seven quarters of a meter?", "output": [ "175" ] }, { "id": "task835-ffac0e1c295e4194874afeb7e546c3e8", "input": "Solve 2*y - 9*y = 21 for y.", "output": [ "-3" ] }, { "id": "task835-ca884e9942304a7dbe8fc2c7582733dc", "input": "What is 11/4 of a day in hours?", "output": [ "66" ] }, { "id": "task835-fecbf9f596d3451ea8b2cbb041622426", "input": "What is -89 - 0.3?", "output": [ "-89.3" ] }, { "id": "task835-bf29d47e61254cb2b20ecba7c3979400", "input": "Let q = -68597/37092 - -1/1124. Find the common denominator of -4/3 and q.", "output": [ "33" ] }, { "id": "task835-113237e51dab41f3b4c94b486981c9ba", "input": "How many milliseconds are there in 238219.4s?", "output": [ "238219400" ] }, { "id": "task835-251ccc41c7fe4a1db7a0058c6c8e7b73", "input": "Solve 56*l + 25 = 61*l for l.", "output": [ "5" ] }, { "id": "task835-34db950cd572483f8317558a0319f34d", "input": "Convert 558.2791ug to grams.", "output": [ "0.0005582791" ] }, { "id": "task835-3a5479fda56e4fd4ba1d8cba1214b8cc", "input": "Four letters picked without replacement from {c: 2, a: 2, b: 1}. What is prob of picking 1 a, 2 c, and 1 b?", "output": [ "2/5" ] }, { "id": "task835-9a9d549e5b2e410da969448f34df0ede", "input": "Two letters picked without replacement from rxttc. What is prob of picking 1 x and 1 r?", "output": [ "1/10" ] }, { "id": "task835-3a541f0e6fd14c6cb4e5c3c21c4271df", "input": "Suppose -7*h + h = -24. Solve 10 = -2*n + h*n for n.", "output": [ "5" ] }, { "id": "task835-31b69fcd13bb466ca2a2071dfb329c5e", "input": "How many years are there in 347502.1 millennia?", "output": [ "347502100" ] }, { "id": "task835-0f4415cf77424b4d82995eef5a2fe6ad", "input": "Convert 66251.83 days to hours.", "output": [ "1590043.92" ] }, { "id": "task835-1e8d0aceb4e345c7bc16c98a64e4bc5f", "input": "Let d(b) = -b**3 - 4*b**2 + 2. Let t be d(-5). Calculate the highest common factor of t and 27.", "output": [ "27" ] }, { "id": "task835-ab76f9277db84ee8b48dfc7325a68b77", "input": "Calculate 9 - (0 + 7 + -2).", "output": [ "4" ] }, { "id": "task835-5ca743f38bad4efe8884a4e9940a3a78", "input": "Calculate prob of picking 1 r, 2 g, and 1 c when four letters picked without replacement from {c: 1, g: 3, x: 10, r: 1}.", "output": [ "1/455" ] }, { "id": "task835-e8a86447263342678525c580429c3b77", "input": "What is 72/5 of a litre in millilitres?", "output": [ "14400" ] }, { "id": "task835-7aaf6b7e331c4852bf85f473d0d0c0a1", "input": "What comes next: -269, -539, -809, -1079, -1349, -1619?", "output": [ "-1889" ] }, { "id": "task835-39231ebe529b4263a74270ec9009fd76", "input": "How many grams are there in seven eighths of a kilogram?", "output": [ "875" ] }, { "id": "task835-c7ffa77147054e9096bdb285bd6027e1", "input": "Suppose -x + 10 = 4*x. Suppose 0 = -2*h + 7 + 13. Calculate the least common multiple of x/10 - 413/(-35) and h.", "output": [ "60" ] }, { "id": "task835-f95375f51f824cb2aaa5f71aeeb4e18a", "input": "Calculate 0.4*142.5.", "output": [ "57" ] }, { "id": "task835-e8ca39552a594027b04136779b9b7763", "input": "What is 82914.84 months in millennia?", "output": [ "6.90957" ] }, { "id": "task835-86e4cee93a1b4394bf00747f8d3c8b09", "input": "In base 11, what is -a4 - 2?", "output": [ "-a6" ] }, { "id": "task835-ded8f91bc5f04f1eadabb29d1c31b702", "input": "Solve 225*g + 18 = 222*g for g.", "output": [ "-6" ] }, { "id": "task835-8fc5a8736b97460c806c0d3cf5a22caa", "input": "Calculate -0.2*0.57.", "output": [ "-0.114" ] }, { "id": "task835-7ff9ccac82b045e79be263bdd017e233", "input": "What is prob of picking 2 d when two letters picked without replacement from tqqqqqttdtqdqq?", "output": [ "1/91" ] }, { "id": "task835-482ebf9e691a403aa88433109af68565", "input": "Solve 2*j - 2 = 8*c - 10*c, -4*c + 2 = 5*j for j.", "output": [ "-2" ] }, { "id": "task835-cf5742a309f84e9ba07b9601ed334a4b", "input": "Evaluate -27 + (3 - -22) + (-1 - -6).", "output": [ "3" ] }, { "id": "task835-780c8cf136fd4c148a9e04922f7671e4", "input": "Let l = 54 - 41. What is the highest common divisor of 1 and l?", "output": [ "1" ] }, { "id": "task835-70596fd541ff427f9c8137c48f0a381e", "input": "Suppose -4*s - n - 15 - 13 = 0, -5*s - n = 35. Let f be (s - -3) + 3 - -57. What is the greatest common divisor of f and 8?", "output": [ "8" ] }, { "id": "task835-92cf08e158e247bd8454988c51046066", "input": "What is next in 4, 8, 14, 22, 32, 44, 58?", "output": [ "74" ] }, { "id": "task835-93b5bff957d347e88ebeea0027ea86a0", "input": "What is sixty-nine halves of a day in minutes?", "output": [ "49680" ] }, { "id": "task835-3b067419320d4a54a2162d5f357f798f", "input": "Calculate 22 divided by -1.", "output": [ "-22" ] }, { "id": "task835-8319f35593da423390e5a2a4a144bc7a", "input": "Solve 0 = 15*f + 77 - 107 for f.", "output": [ "2" ] }, { "id": "task835-b66b5ad805fb4d8d9a71b90b65bff4fe", "input": "Let v be -22*(-3)/2 - -1. Let u(w) = w - 2. Let j be u(5). Suppose -44 = -4*y - 0*a - 2*a, -2*a + v = j*y. What is the tens digit of y?", "output": [ "1" ] }, { "id": "task835-38f0d8db72b94d9292a57951ec1d1829", "input": "What is the square root of 1682 to the nearest integer?", "output": [ "41" ] }, { "id": "task835-8a37e298889b4f8ea1f90dbffa006a59", "input": "Suppose -13*r + 2 = -12*r. Calculate the highest common factor of 1 and r.", "output": [ "1" ] }, { "id": "task835-97aa68d43b2a482c812a34302a7abb70", "input": "Divide 372 by -93.", "output": [ "-4" ] }, { "id": "task835-e731791d28ac4121b2fbbfae87ed2598", "input": "How many days are there in 26/7 of a week?", "output": [ "26" ] }, { "id": "task835-5910b0a6d4444b7e9ffee4c5a90f4a08", "input": "Let r be 0/(0 + 2 + -1). Let t(q) = -q**2 + 4*q - 1. Let f be t(3). Suppose m - 8 = -f*i, r*i + i = 0. What is the units digit of m?", "output": [ "8" ] }, { "id": "task835-28e0077014a74b4599857e5a17c3a104", "input": "27/18 - (-78)/(-12)", "output": [ "-5" ] }, { "id": "task835-7451fb98386e4686b797e8229bd06122", "input": "What is -5 - 72726?", "output": [ "-72731" ] }, { "id": "task835-8d89ffb1ba6c4317a43efee4ad260138", "input": "How many grams are there in fourty-five eighths of a kilogram?", "output": [ "5625" ] }, { "id": "task835-e4dc2a14e003434e8bc5580c5dad9961", "input": "What is prob of picking 3 z when three letters picked without replacement from zaszz?", "output": [ "1/10" ] }, { "id": "task835-03fa7b70fb4e4a82b78f44fb382ccfcc", "input": "Calculate prob of picking 3 n and 1 t when four letters picked without replacement from nnntntt.", "output": [ "12/35" ] }, { "id": "task835-07f298180554408ebf41fdfe21420e7b", "input": "What is (-5)/20*-16*2/(-4)?", "output": [ "-2" ] }, { "id": "task835-ce3404a9ec2a4ec78fc6a6f20d739f7b", "input": "What is the next term in -85, -174, -263, -352, -441, -530?", "output": [ "-619" ] }, { "id": "task835-4658bd274c144f35bdebce40e3acf713", "input": "What is 0.1639607ml in litres?", "output": [ "0.0001639607" ] }, { "id": "task835-3a29e2e6ef41496c80d7d022aa060e3b", "input": "Solve 20*o - 16*o = -8 for o.", "output": [ "-2" ] }, { "id": "task835-5f77024963b24121946ac722ed19bce3", "input": "How many millilitres are there in 21/8 of a litre?", "output": [ "2625" ] }, { "id": "task835-77d2be3be2df4d6eb3e9d6ae2e352f6c", "input": "Let n(s) = s**2 + 3*s + 2. Let z be n(-2). Suppose z = j + j - 70. Suppose -j - 56 = -t. What is the highest common factor of 13 and t?", "output": [ "13" ] }, { "id": "task835-6ad429ec312f49598438d43166aeafd1", "input": "0.5*-479", "output": [ "-239.5" ] }, { "id": "task835-a918598d195942b18daf7f4e9ec51824", "input": "2340 divided by -5", "output": [ "-468" ] }, { "id": "task835-955b3fea9bf9479ab9bbf922f2907bf4", "input": "What is prob of picking 1 q, 1 p, and 1 s when three letters picked without replacement from cqqqqscqpc?", "output": [ "1/24" ] }, { "id": "task835-237a3700ef0444378f4dde5815d83ce6", "input": "Let r(n) = -n**2 - 6*n + 2. Let w be r(-7). Calculate the least common multiple of 12 and ((-6)/w)/(6/20).", "output": [ "12" ] }, { "id": "task835-e41781dc44e64fd398894ab46debb35e", "input": "Four letters picked without replacement from vvvvvv. Give prob of picking 4 v.", "output": [ "1" ] }, { "id": "task835-121f52af135b4ce493747ffbb9ac6967", "input": "How many kilograms are there in thirty-four fifths of a tonne?", "output": [ "6800" ] }, { "id": "task835-74fd03cfcbe54bbf9c1c44380f936c9c", "input": "Calculate 72 divided by 3.", "output": [ "24" ] }, { "id": "task835-ed514a185b4b48d9a14eba6e1056a390", "input": "Let i = -47 - -65. Calculate the remainder when 51 is divided by i.", "output": [ "15" ] }, { "id": "task835-10c8bd28a695434f8662cfa17997c047", "input": "Calculate prob of picking 1 o, 1 u, and 2 v when four letters picked without replacement from {g: 3, a: 3, u: 1, o: 1, v: 2, m: 1}.", "output": [ "1/330" ] }, { "id": "task835-fc3c32fd3679496da16e9b7025a65f40", "input": "Solve 9 + 7 = 4*c for c.", "output": [ "4" ] }, { "id": "task835-645a1a5fe3424d6f95af1a55316886c1", "input": "What is fourty-one halves of a litre in millilitres?", "output": [ "20500" ] }, { "id": "task835-96dc6feabf0c43949e91b725c47ae248", "input": "Let k(s) = s**3 - 4*s**2 - 6*s + 7. Let m be (-3)/2 - (-104)/16. What is the units digit of k(m)?", "output": [ "2" ] }, { "id": "task835-50dfae9129d042a5bd3c222215a0f426", "input": "Let o(z) = -4*z - 12. What is the tens digit of o(-8)?", "output": [ "2" ] }, { "id": "task835-044e687439a24f6d861b966b8b386d9e", "input": "What is prob of picking 1 v and 1 i when two letters picked without replacement from {i: 4, v: 7}?", "output": [ "28/55" ] }, { "id": "task835-785517e93f1d4f9f98fdce766ad08ae3", "input": "Three letters picked without replacement from mclmmcrllrlieii. What is prob of sequence rmm?", "output": [ "2/455" ] }, { "id": "task835-5d196b9a4c274ab28cc04bcbc116de22", "input": "Three letters picked without replacement from {l: 1, i: 2, o: 3, u: 1}. What is prob of picking 1 u and 2 i?", "output": [ "1/35" ] }, { "id": "task835-ffb8e2a1c4824d78b7b253cdfb1637a0", "input": "Let c(t) = t + 12. Let z be c(-10). Solve -8 - z = 5*g for g.", "output": [ "-2" ] }, { "id": "task835-631a5071e1ce4f08a312aa014f08f539", "input": "0.5 times 0.43", "output": [ "0.215" ] }, { "id": "task835-7e8265983f3b468d89562fbd8b8c7ce1", "input": "What is next in 5326, 5325, 5324?", "output": [ "5323" ] }, { "id": "task835-45da05439cea4982bda921b0a3323555", "input": "In base 8, what is -3 + 2?", "output": [ "-1" ] }, { "id": "task835-e8a8bdb2ad22411ca6a70e03b6f4108b", "input": "Calculate (2 - (7 + 22) - -8) + 8.", "output": [ "-11" ] }, { "id": "task835-2e9b6510f1bf46b6a7efa1a8557a38ad", "input": "Let j = 127 - 49. Suppose -2*f + 4*b - 22 + j = 0, 2*f - 5*b = 52. Let z = f + -22. Calculate the greatest common factor of z and 70.", "output": [ "14" ] }, { "id": "task835-002c4b45c4674daebe3cf52271b0b6f6", "input": "Two letters picked without replacement from pfffipfppfefpf. Give prob of sequence pf.", "output": [ "5/26" ] }, { "id": "task835-3f712b56ea9d478d854c9c2382db5c49", "input": "Let z(i) = -i**3 + 6*i + 2. Let h be z(-3). Let v = h - 3. Solve 0 = 4*k - 2*k - v for k.", "output": [ "4" ] }, { "id": "task835-aa2bfc87cb6b43ddb8f0db9629debed7", "input": "Suppose -n + 35 = 3*y + 2*y, -5*y + 75 = 3*n. What is the remainder when n is divided by 8?", "output": [ "4" ] }, { "id": "task835-9694cdb97cc240e38f795198ae577e41", "input": "How many milligrams are there in 26.76943 kilograms?", "output": [ "26769430" ] }, { "id": "task835-7c288fe0ff8a4300af842a50a789cf79", "input": "Suppose 5*d + 2*m - 50 = 0, d + 4*m - 8 - 2 = 0. Let w(x) = -x**2 + 11*x - 9. Let r be w(d). Calculate the remainder when 17 is divided by (-33)/(-3) - 2/r.", "output": [ "8" ] }, { "id": "task835-58745a33668248888f3ac2b30d250725", "input": "Three letters picked without replacement from {m: 9, i: 9}. What is prob of picking 1 m and 2 i?", "output": [ "27/68" ] }, { "id": "task835-bf26bbf977e749858142e2b7485fd8d0", "input": "Suppose 0 = t - 3*j + j - 8, -4 = t - 5*j. What is the highest common divisor of t and 16?", "output": [ "16" ] }, { "id": "task835-557f90779ec24822b98a0c71fd46194d", "input": "What is twenty-one fifths of a litre in millilitres?", "output": [ "4200" ] }, { "id": "task835-8586e1270b5243e4931dafa1179bf100", "input": "What is prob of picking 1 d, 1 u, and 1 i when three letters picked without replacement from dnnbnduaduaddia?", "output": [ "2/91" ] }, { "id": "task835-d7c60aed54784774b9751fcf3d585c02", "input": "What is prob of picking 1 c and 3 u when four letters picked without replacement from acauaacuucucuu?", "output": [ "80/1001" ] }, { "id": "task835-72ee85b73469437e9820014981dc975b", "input": "97.54 * 4", "output": [ "390.16" ] }, { "id": "task835-a5d624c6f9564282ad09bfb1a6eaf56a", "input": "What is next in -72, -84, -102, -126, -156, -192?", "output": [ "-234" ] }, { "id": "task835-1a09321b5c24438dbf29e4d1a4d63143", "input": "What is next in 64, 117, 216, 367, 576, 849, 1192, 1611?", "output": [ "2112" ] }, { "id": "task835-765086b2ab3549a3b0999a17f5ef9812", "input": "What is the next term in -4369, -4366, -4361, -4354?", "output": [ "-4345" ] }, { "id": "task835-043f73ab9c8a43e48fcfbe555ba7ec86", "input": "What is the smallest common multiple of (-4)/12*(-20 - -2) and 4?", "output": [ "12" ] }, { "id": "task835-909127a76f2440869e997987409275a8", "input": "Evaluate ((-44)/(-66))/((-1)/(-6)).", "output": [ "4" ] }, { "id": "task835-76b4ccf9b9c34fb79053d61625102d9e", "input": "Solve -3*q - 2 - 1 = 0 for q.", "output": [ "-1" ] }, { "id": "task835-934abe978eb043efaafd1430f984ec87", "input": "Three letters picked without replacement from {y: 12, m: 3}. What is prob of picking 3 m?", "output": [ "1/455" ] }, { "id": "task835-d8a2b5bb58cd4347bb4cfc538e3bbfab", "input": "Two letters picked without replacement from {r: 3, l: 6, j: 6, u: 3}. What is prob of picking 1 u and 1 r?", "output": [ "1/17" ] }, { "id": "task835-ce64355c725b46059101badd4cba9140", "input": "Solve 6*m = 7*m - 4*o - 8, -m + 4 = -2*o for m.", "output": [ "0" ] }, { "id": "task835-b62768afd3d547e490ed5d2607baeb05", "input": "((-20)/10)/(8/(-4))", "output": [ "1" ] }, { "id": "task835-228b04125c204748a69bb41f1b731fb1", "input": "Suppose w - 7 = -0*w. What is the greatest common factor of 49 and w?", "output": [ "7" ] }, { "id": "task835-e275d58bdd2c401b8c750118793595fd", "input": "Calculate -12341 divided by 6.", "output": [ "-12341/6" ] }, { "id": "task835-6066641a488c49e2b4f3d77fe7b3d0f7", "input": "Divide -12 by 12.", "output": [ "-1" ] }, { "id": "task835-813b3bbf1dd84b03bec042459a477554", "input": "Calculate 39/26*(-3)/(-15)*-1.", "output": [ "-3/10" ] }, { "id": "task835-ff01fb5281e542238986982c214d6237", "input": "Suppose 4*v - 9 - 3 = 0. Suppose 5*d = -2*x, 3*x - x = -v*d. Suppose -14*k - 5*k = 0. Solve k = j - d*j - 1 for j.", "output": [ "1" ] }, { "id": "task835-6ea2c720ed984e408b3b45ce5d9daf97", "input": "What is 2/21 of a week in seconds?", "output": [ "57600" ] }, { "id": "task835-db6059a6faef4cc49d3527261ec504c6", "input": "Calculate (-10)/1*(-57)/114.", "output": [ "5" ] }, { "id": "task835-ff969e072e784b098a7b16b867edc65c", "input": "What is 3/25 of a century in years?", "output": [ "12" ] }, { "id": "task835-bd9903476d2248078deba00ef602100b", "input": "What is -5 + -3 + -2 + 7 + 4?", "output": [ "1" ] }, { "id": "task835-08ddc6574ca8490e9ce6d50ab488b8cd", "input": "Calculate prob of sequence ssze when four letters picked without replacement from {h: 2, s: 4, r: 1, e: 1, z: 2}.", "output": [ "1/210" ] }, { "id": "task835-533074432c654ab18182fc4a13f47211", "input": "What is prob of sequence ww when two letters picked without replacement from {h: 3, w: 5}?", "output": [ "5/14" ] }, { "id": "task835-b595dba07e2146d58403315b21b30c90", "input": "How many days are there in 149431.149 nanoseconds?", "output": [ "0.0000000017295271875" ] }, { "id": "task835-1d98e66ec74f4c9ab5674ee71d1823f5", "input": "Evaluate -6 - (-14 + 6) - (0 - 3).", "output": [ "5" ] }, { "id": "task835-3e4f63e86a5744aa887ab39b9f619367", "input": "Let z(c) = 2*c - 1. Let y be z(-3). Let t = 16 + y. What is the greatest common divisor of t and 1?", "output": [ "1" ] }, { "id": "task835-4cc0d0a7082743c8a74adcaa33fda92a", "input": "What is the next term in -1189, -2370, -3551, -4732?", "output": [ "-5913" ] }, { "id": "task835-7229e12112cb43c9930fc74c9d4052f3", "input": "What is twenty-one fifths of a millennium in years?", "output": [ "4200" ] }, { "id": "task835-de0cf1c82fa84e3b8aba89be0df4cde6", "input": "What is eleven quarters of a hour in minutes?", "output": [ "165" ] }, { "id": "task835-fef50f1d10534b12bdcef25c9830c38b", "input": "Convert 0.0407275ml to litres.", "output": [ "0.0000407275" ] }, { "id": "task835-968170d145834c78aa1b0527a99f2f8f", "input": "What is next in 26, 47, 66, 83, 98?", "output": [ "111" ] }, { "id": "task835-8638a9e93b5c4ea2b2531c0be6aea7ec", "input": "How many hours are there in 379.1952 minutes?", "output": [ "6.31992" ] }, { "id": "task835-d46de953791149aa8a6d565398081692", "input": "What is twenty-one fifths of a hour in seconds?", "output": [ "15120" ] }, { "id": "task835-26a3913e37be47a3a71ace38ed59aa8c", "input": "Suppose -4*b + c = -b - 71, -b + 21 = -c. What is the tens digit of b?", "output": [ "2" ] }, { "id": "task835-0596388c0dc04508bbccb0f28e551cb4", "input": "What is 7/3 of a week in hours?", "output": [ "392" ] }, { "id": "task835-a7349b93a4a4455ead5dce1289fd5425", "input": "What is the value of 5 + (5 - 10) + (4 - 2)?", "output": [ "2" ] }, { "id": "task835-a3e4d2806edc4691971b12642de25168", "input": "Solve -2*o - 3*w = 13, 0*o - 4*o - 5*w = 21 for o.", "output": [ "1" ] }, { "id": "task835-0718e0eba40948fa89179d7bd0981bdf", "input": "Calculate prob of sequence ewc when three letters picked without replacement from {m: 1, c: 3, y: 1, e: 5, t: 3, w: 1}.", "output": [ "5/728" ] }, { "id": "task835-56dcbcfa566e4269a37d2144f4e9069c", "input": "Solve -14*h = -4*h - 10 for h.", "output": [ "1" ] }, { "id": "task835-0f9e0773bc504771a30599d722bc6378", "input": "Evaluate 0/(((-2)/(-3))/(64/96)).", "output": [ "0" ] }, { "id": "task835-0ea5e875e64745e6b44aae35a0536b4d", "input": "Let u = 0 - 8. Let y be ((-4)/u)/(2/152). Suppose k + 3 = 2*i - 14, y = 4*i + 2*k. What is the units digit of i?", "output": [ "9" ] }, { "id": "task835-7025b474ce4c42118fd2954339b00d2a", "input": "Calculate the remainder when (-16)/(-8)*(-98)/(-4) is divided by 17.", "output": [ "15" ] }, { "id": "task835-8f691c2548fe4cc286acd8d8a6c431e9", "input": "Let h = 3 + -2. Let s = 4 - h. Let l = 1029 + -1021. Calculate the remainder when l is divided by s.", "output": [ "2" ] }, { "id": "task835-920ba4b7152943b98076b5586513f34d", "input": "Let a be 72/(-27) + 2/(-6). Let i(p) = 2*p**2 + 2*p - 3. What is the remainder when i(a) is divided by 4?", "output": [ "1" ] }, { "id": "task835-2ac70b0ca477451caa0f3f206c572964", "input": "Let h(s) = -2*s**3 - 5*s**2 - s + 6. Let j be h(-5). Calculate the greatest common factor of 17 and j.", "output": [ "17" ] }, { "id": "task835-90aaa36715c44a33af69603c5a266fcd", "input": "Calculate 5544 divided by -462.", "output": [ "-12" ] }, { "id": "task835-3c9b186b7d014ae0b6b2f7d53a717a56", "input": "What comes next: -46, -88, -130?", "output": [ "-172" ] }, { "id": "task835-1516399177d24c3399d31a6a76221a19", "input": "Let w = -821212298067/6259 + 131205031. Let z be (-3)/(-6) - 1114/2276. Let d = w - z. Find the common denominator of 67/9 and d.", "output": [ "99" ] }, { "id": "task835-d82d095bb8814746bd479e8c071c8ca4", "input": "Calculate prob of sequence xk when two letters picked without replacement from {x: 4, k: 14}.", "output": [ "28/153" ] }, { "id": "task835-159d03dcb7dc4fb497efdc8c557e73e8", "input": "What is 7/2 of a litre in millilitres?", "output": [ "3500" ] }, { "id": "task835-10db66320d624d09bd91f28f6665e8d4", "input": "What is 343 divided by -7?", "output": [ "-49" ] }, { "id": "task835-4cc1830f5083428c9d03486daf1b3e42", "input": "Work out 8.5 - -114.", "output": [ "122.5" ] }, { "id": "task835-f82294be3b884143b63ee49407e124e8", "input": "How many millilitres are there in 9715.803 litres?", "output": [ "9715803" ] }, { "id": "task835-c6e76a592c89492c936512079d38e0c7", "input": "(-195)/650*(-12)/(-27)", "output": [ "-2/15" ] }, { "id": "task835-a7a29f401251499f9fadb9f3efdc822f", "input": "Calculate prob of sequence tsst when four letters picked without replacement from ssttstttttttts.", "output": [ "45/1001" ] }, { "id": "task835-aa766fec93f04a72801a16ee9eedc94e", "input": "Two letters picked without replacement from {o: 6}. Give prob of picking 2 o.", "output": [ "1" ] }, { "id": "task835-3228e7bce23148d1b7cab14f3fa948d3", "input": "What is the value of (1*-4)/((-10)/((-30)/(-6)))?", "output": [ "2" ] }, { "id": "task835-e3c493e3ecfa44bd845a8ecf80bf8242", "input": "Solve 5 = -3*b + 8 for b.", "output": [ "1" ] }, { "id": "task835-13a027853fcb4f0f8a694008de4f9344", "input": "Calculate 51 divided by -17.", "output": [ "-3" ] }, { "id": "task835-4088986bbcd348d188fbb61c421702c3", "input": "Let h(m) = m. Let u be h(4). Suppose -q = u + 2. Let b(i) = i**2 + 6*i + 2. Let z be b(q). Calculate the greatest common divisor of z and 5.", "output": [ "1" ] }, { "id": "task835-1058953b09fc4aecb42a8244a9f34882", "input": "Evaluate 20/(-2)*1*20/(-150).", "output": [ "4/3" ] }, { "id": "task835-d02c9ae66b5b44ee8adba50591992b1a", "input": "What is the next term in 4203, 8406, 12609?", "output": [ "16812" ] }, { "id": "task835-07baad1827c7443297c647d940f93916", "input": "Calculate (-3)/(-12) + 1 - 2.", "output": [ "-3/4" ] }, { "id": "task835-1ae012965b5344d799de4a92cbdd0193", "input": "What is 3/25 of a microgram in nanograms?", "output": [ "120" ] }, { "id": "task835-a99a1249dcfa4dcda49f7186a0910f97", "input": "What is 16/15 of a century in months?", "output": [ "1280" ] }, { "id": "task835-ebbad789a94b45ab917f186f4c6971d9", "input": "Let n = -4 + 5. Let w = -3 - -10. Let p = w - 2. Solve -4*k + l - n = p, -4*k - 2 = l for k.", "output": [ "-1" ] }, { "id": "task835-5e1742242fa340309009fc4a3d6e0f12", "input": "What is prob of picking 1 r and 3 p when four letters picked without replacement from {r: 8, p: 3}?", "output": [ "4/165" ] }, { "id": "task835-049a7c56171741019310b42384948033", "input": "Let l = -162 - -234. Calculate the remainder when l is divided by 15.", "output": [ "12" ] }, { "id": "task835-a95201abc43f43f5a46db4b03832a9b3", "input": "Two letters picked without replacement from yyyl. Give prob of sequence yl.", "output": [ "1/4" ] }, { "id": "task835-9827639e9bfc4d6f8fc925f5015ff151", "input": "Convert 556.8395 nanometers to millimeters.", "output": [ "0.0005568395" ] }, { "id": "task835-e9178de8ad7445bb94831494515b146f", "input": "What is prob of sequence cw when two letters picked without replacement from rcrwwwrrsrsrrs?", "output": [ "3/182" ] }, { "id": "task835-f4c8e9be971a40ae9bd9b25ff23c68dc", "input": "Four letters picked without replacement from {y: 6, b: 1, u: 4}. What is prob of picking 2 y and 2 u?", "output": [ "3/11" ] }, { "id": "task835-009322ffe5cd4755bf68279e1fc88514", "input": "-2 + 0 + (3 - 1)", "output": [ "0" ] }, { "id": "task835-74432050180a4d8797a26cc595ddf8a2", "input": "Let o = -6 - -11. Suppose 3*c + 3*h + o = -1, 4*h = -20. What is the units digit of c?", "output": [ "3" ] }, { "id": "task835-3677de98f389485eae33324e7a62de30", "input": "Let k(u) = u**2 - 8*u + 17. Let a be k(9). Calculate the greatest common divisor of a and 39.", "output": [ "13" ] }, { "id": "task835-befb1d21425c4f718a9ec77d0aa2cee4", "input": "Let y(n) = n**2 - 3*n - 22. Let j be y(7). Suppose -j*z + 7*z - 8 = 0. Solve 4*f + k = z, -5*f + 2*k + 25 = 7*k for f.", "output": [ "1" ] }, { "id": "task835-10371037b3ab410aac58e3135751ee41", "input": "Three letters picked without replacement from ymmmymymmm. Give prob of picking 3 m.", "output": [ "7/24" ] }, { "id": "task835-dad5d9189d164a4f91e766fced974b82", "input": "Suppose 5*x - 18 = 267. Let h = 26 + -11. What is the remainder when x is divided by h?", "output": [ "12" ] }, { "id": "task835-7af1f3458a3f465cb9ffa4050e1e908a", "input": "Let a(y) = y**3 - 3*y**2 + 7*y - 10. Let m be a(2). Let k(p) = -p**3 + 2*p**2 + p + 1. Let r be k(2). Solve m = r*d + 16 - 1 for d.", "output": [ "-5" ] }, { "id": "task835-0d034a11e6be4be99602f3a5268dc740", "input": "Convert 955845.6 nanograms to tonnes.", "output": [ "0.0000000009558456" ] }, { "id": "task835-1990d9dd64c64dc29c3cf5aef620f8e1", "input": "Convert 0.522377ml to litres.", "output": [ "0.000522377" ] }, { "id": "task835-0fd730dd0eff4f7cb9d11f497bb0a635", "input": "Suppose 4*n - 8 = 4*u, -3*u - 2*n = 2*u - 4. Solve 9 = 3*v - u*v + r, v = 2*r + 3 for v.", "output": [ "3" ] }, { "id": "task835-5d03411eaef54c3a9f5a158b1fb34bff", "input": "Let j(d) = -2*d**3 - d**2 + 2*d**3 - 2*d**3 - 2*d**3. Let l be j(-2). Suppose -y = -3*y + l. What is the units digit of y?", "output": [ "4" ] }, { "id": "task835-b6bbeb70d382454bbbc89d3ecb9d3c67", "input": "Two letters picked without replacement from {q: 1, g: 3, d: 1}. What is prob of picking 1 g and 1 d?", "output": [ "3/10" ] }, { "id": "task835-e600105af1e34064972e24c9037b1fc1", "input": "Solve 2*k + 14 = 2*j, -7*k - 4*j + 24 = -9*k for k.", "output": [ "-2" ] }, { "id": "task835-3153741fd3574b64a480cf2718881569", "input": "How many hours are there in seven thirds of a day?", "output": [ "56" ] }, { "id": "task835-188894420b124c0fa8b927da469a3d05", "input": "Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {f: 2, d: 8}.", "output": [ "8/15" ] }, { "id": "task835-0d50d37ff4244331aeada598fbb36802", "input": "What is 3/32 of a kilogram in milligrams?", "output": [ "93750" ] }, { "id": "task835-9e9d9fde1fc24ab691a01bd9ba1624ab", "input": "How many months are there in 2413.793 millennia?", "output": [ "28965516" ] }, { "id": "task835-4438715e2fc54e0096882ce1583ea3d4", "input": "Let m = -2 + 9. Let u = -3 + 6. Solve -u = 2*n - m for n.", "output": [ "2" ] }, { "id": "task835-4028a9f51d8e4f11be9b0fc0b6654eb6", "input": "Let z = -30 - -32. Solve -3*i - 5*w - 5 = 0, -5*i - 1 - z = 3*w for i.", "output": [ "0" ] }, { "id": "task835-e07bfaf3cd7d46c89de8ac6844022429", "input": "Let z = 27 - 9. Suppose 2*t = -3*t - 4*l + 38, 4*l = 5*t - 22. What is the highest common divisor of z and t?", "output": [ "6" ] }, { "id": "task835-24e3652f04454d92933ca63dd54278e0", "input": "How many millilitres are there in 12.83532l?", "output": [ "12835.32" ] }, { "id": "task835-7dc355644df1481180f9d7943f53bb8b", "input": "Suppose 188*t = 182*t. Suppose -3*p + 18 = -3*q, 3*p - 6*p + 18 = 5*q. Let f = p - 3. Solve t = -0*z - f*z - 12 for z.", "output": [ "-4" ] }, { "id": "task835-abddf07a64d246349e67a94eaddf1cfb", "input": "How many nanometers are there in 3.529043 meters?", "output": [ "3529043000" ] }, { "id": "task835-c81a5d3e9fd444cfa79db5d3032b39fc", "input": "What is 3/25 of a micrometer in nanometers?", "output": [ "120" ] }, { "id": "task835-10b0eb31502b471386b544d2d6e2c05a", "input": "What is seven quarters of a gram in milligrams?", "output": [ "1750" ] }, { "id": "task835-6fe1f5b150684998bee9a5e2007c8b2e", "input": "Solve -5*i - 5*r - 50 = 0, -r + 5 = -4*i - 10 for i.", "output": [ "-5" ] }, { "id": "task835-93be8147fb6d4e7891af3b044a3dfd50", "input": "What is 47147.3 years in decades?", "output": [ "4714.73" ] }, { "id": "task835-00467c10a6344df3895afaa016f922ce", "input": "Let f(j) = -j**2 - 5*j. Let o be f(-3). Suppose -b = -o*b, 4*x = b + 12. Suppose v = 4*v - x, v = y - 9. What is the tens digit of y?", "output": [ "1" ] }, { "id": "task835-aff8c4e5781e4118845b87282d76c78a", "input": "What is 4293 to the power of 1/9, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-ff484841e84e4326b878f1eb60f270bc", "input": "What is 15/4 of a week in minutes?", "output": [ "37800" ] }, { "id": "task835-3d5326df03eb473791ef58cf3df8c458", "input": "What is next in 167, 365, 563, 761?", "output": [ "959" ] }, { "id": "task835-b456b2bb72ca42199e9c2d8c5a666992", "input": "Calculate prob of sequence xn when two letters picked without replacement from xragnnnnngnfgxnnf.", "output": [ "1/17" ] }, { "id": "task835-9f7f2069a8394cb5ac96efb4c8a87e14", "input": "What is the tenth root of 8668 to the nearest integer?", "output": [ "2" ] }, { "id": "task835-23835cff0e4c4f7c8ae3f0e84053f9e3", "input": "Convert 8797.531kg to micrograms.", "output": [ "8797531000000" ] }, { "id": "task835-9f33340725fd4c97a6544fb898f9349d", "input": "Suppose 5*r + 0 = 45. Suppose -5 - 31 = 4*y. Let b be (4 - 169)*y/15. Calculate the greatest common divisor of r and b.", "output": [ "9" ] }, { "id": "task835-532a7e8ffc4f4c1ebb0374c88df8cf9a", "input": "Three letters picked without replacement from ieuiueiieeee. What is prob of sequence eii?", "output": [ "3/55" ] }, { "id": "task835-3330cba7e47a498f9f4db16a59d3f2e6", "input": "Two letters picked without replacement from {z: 6, t: 2}. What is prob of picking 2 t?", "output": [ "1/28" ] }, { "id": "task835-aec729b78a5e41358294872fc1aae19d", "input": "Suppose -6*v + 36 = -3*v. Suppose 0 = z - 5*z + v. Solve 0*g = g + z for g.", "output": [ "-3" ] }, { "id": "task835-f4d06cfc8a4b41528cc320e08f95e0c6", "input": "Let p(k) be the second derivative of 7*k**4/6 + 7*k. Calculate the smallest common multiple of p(1) and 20.", "output": [ "140" ] }, { "id": "task835-3f6a09efd1334d27a34ad32086c2d606", "input": "Four letters picked without replacement from {u: 3, y: 3, q: 5}. What is prob of sequence qquq?", "output": [ "1/44" ] }, { "id": "task835-d3ba45adc4354b17b5156779cd1bf191", "input": "Let w(u) = -u**3 + 4*u**2 + 5*u + 4. Let b be w(5). Suppose 0 = b*q + 4 - 12. Solve 2*i - 3*i = q for i.", "output": [ "-2" ] }, { "id": "task835-729f37c8a924487d8eb0e3339c28cecd", "input": "Let c = -127 + 141. What is the remainder when c is divided by 8?", "output": [ "6" ] }, { "id": "task835-4c941c6b6d3b46259144051ac56962b0", "input": "Evaluate -2 + -3 + -3 + 15 + 1.", "output": [ "8" ] }, { "id": "task835-a2c2ed43e91843e4b700d5ad252263eb", "input": "How many grams are there in 3/8 of a kilogram?", "output": [ "375" ] }, { "id": "task835-c2ed9ae501724be5b23f3ced2ca71e7f", "input": "Convert 4711.475 litres to millilitres.", "output": [ "4711475" ] }, { "id": "task835-2fa377b0b6ae43a595b67aa581909d4e", "input": "Calculate 5 - (0 + (3 - 1)).", "output": [ "3" ] }, { "id": "task835-528edea0705248589ec5ef630c8bfad3", "input": "What is prob of picking 1 h and 1 z when two letters picked without replacement from nhngnnznznhgzgnnn?", "output": [ "3/68" ] }, { "id": "task835-6f96e97e6bc548c597666930ff9ae3b9", "input": "How many decades are there in thirty-four fifths of a century?", "output": [ "68" ] }, { "id": "task835-9eb069366a254442b72c3b8d765335a9", "input": "Two letters picked without replacement from {j: 11, h: 2, r: 1, k: 1}. Give prob of picking 1 k and 1 h.", "output": [ "2/105" ] }, { "id": "task835-8e6b8fbe8d014a169a12b2508c233621", "input": "What is prob of picking 2 k and 2 w when four letters picked without replacement from kwqkwtwqmqw?", "output": [ "1/55" ] }, { "id": "task835-f9d4930e2009429892238fb25db60380", "input": "Calculate -378 divided by 4.", "output": [ "-189/2" ] }, { "id": "task835-80f72e9f21ef4d58a38ba5f785206af7", "input": "Suppose o - 3 = 3. Calculate the highest common factor of 42 and o.", "output": [ "6" ] }, { "id": "task835-a54542effa214545918858a20a256cd9", "input": "What is 434 to the power of 1/2, to the nearest integer?", "output": [ "21" ] }, { "id": "task835-c2318ecc05d84c55bc2fed3637855a29", "input": "Let z = 82 + -35. What is the remainder when 186 is divided by z?", "output": [ "45" ] }, { "id": "task835-f136445095f042ac81e1ccbddd9b9214", "input": "How many kilograms are there in 3/25 of a tonne?", "output": [ "120" ] }, { "id": "task835-d3a598c6444148ee8d367abc27809704", "input": "Suppose -4*d + d = d. Solve z - 4*g - 15 = d, -2*g = 3*z - 0*g + 11 for z.", "output": [ "-1" ] }, { "id": "task835-06945ca11336463db0008b207740a759", "input": "Convert 31116.64 days to nanoseconds.", "output": [ "2688477696000000000" ] }, { "id": "task835-12e1ebe0d701410a957cd06b35014a4d", "input": "What is next in -154, -303, -450, -595?", "output": [ "-738" ] }, { "id": "task835-bcad5b7c282544498cbd2fb047a751ea", "input": "Suppose -2*b - 9 = 21. Let f be (-1)/5 - 63/b. Suppose 3*t - 2*p - 11 = 0, 8*p - 4*p + 8 = f*t. What is the units digit of t?", "output": [ "7" ] }, { "id": "task835-c3abaca29b5b48d4b1bdfcae1622dcca", "input": "What is 149867.7 months in decades?", "output": [ "1248.8975" ] }, { "id": "task835-e0eb1f4bc9654dea9ff32ea1f870fb3a", "input": "Let r be (-4)/(-4)*(-2 + 2). Suppose 3*o + 5 + 1 = 0, r = -4*n - 3*o + 98. Calculate the remainder when 102 is divided by n.", "output": [ "24" ] }, { "id": "task835-eff8f9c200d74eb1ad2c22ec65bb4480", "input": "Let g(n) = 31*n + 1 + 2 - 30*n. Suppose -m - 4*m = -30. What is the units digit of g(m)?", "output": [ "9" ] }, { "id": "task835-fe0c1ed83aeb40c3b5e14d37b53961bc", "input": "Let r be 7/21*(-36)/(-2). Let z = -6 + r. Solve 3*x = -z*h - 5*h - 11, 19 = -h + 5*x for h.", "output": [ "-4" ] }, { "id": "task835-adac2ffbd2d94d1dba0c0d2610206583", "input": "Let g be (12/18)/(1/3). Let k be 36/2*(-4 + 5). What is the greatest common divisor of g and k?", "output": [ "2" ] }, { "id": "task835-aaf7ae8fced44924ac2d0c542f934604", "input": "Let o be ((-6)/(-2))/(3/(-14)). Suppose 61 = -4*r - 79. What is the units digit of 10/r - 74/o?", "output": [ "5" ] }, { "id": "task835-c41c9816ab334c7eb307e9e06e202976", "input": "Calculate prob of picking 2 n and 1 f when three letters picked without replacement from nnpppppnnffnppp.", "output": [ "4/91" ] }, { "id": "task835-2796d4e969604fd9b2627ad8a3e3a3ea", "input": "How many millilitres are there in three eighths of a litre?", "output": [ "375" ] }, { "id": "task835-df437fd9fbc442a0aac917742675c56c", "input": "What is the eighth root of 14079 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-1c1a485ead79420590f71cdd6aca723a", "input": "What is -26.95 + 28?", "output": [ "1.05" ] }, { "id": "task835-5c6b6ff0daf3489f9ff2241c85f8cf64", "input": "Solve 5*w + 3 = -2 for w.", "output": [ "-1" ] }, { "id": "task835-ea3d29bb28364d87a919df536664552f", "input": "Let t be (-2 - -3 - 0) + 53. Let z = 10 + -4. Calculate the greatest common factor of z and t.", "output": [ "6" ] }, { "id": "task835-11bfae6607b040faacea6adf74f97bf8", "input": "Calculate prob of sequence ah when two letters picked without replacement from abh.", "output": [ "1/6" ] }, { "id": "task835-a041f73c9b2540fa80150baf3ce14cf5", "input": "What is 2514 divided by -1257?", "output": [ "-2" ] }, { "id": "task835-eced1943f0c04d6fb2093c6c60ca23f9", "input": "Suppose -5*g = 627 - 2072. Let t = 101 + -246. Let j = g + t. Calculate the greatest common factor of j and 18.", "output": [ "18" ] }, { "id": "task835-51363fc8024344a68c506d11715c2653", "input": "Evaluate (-330)/20*16/(-176).", "output": [ "3/2" ] }, { "id": "task835-0153fc1e552f4c17963c0ac9d70efe4e", "input": "Solve 5*c = 3*z - 31, 0*c + c + 7 = z for c.", "output": [ "-5" ] }, { "id": "task835-fded475a64584c34b6b1690e6014a8ac", "input": "How many litres are there in 882440.6 millilitres?", "output": [ "882.4406" ] }, { "id": "task835-baa7a65b2cc44557af4338d6a29ede23", "input": "Calculate -87 divided by 29.", "output": [ "-3" ] }, { "id": "task835-a76fdf6b8a28429cb22751cf5ee34ec0", "input": "Two letters picked without replacement from hmpmmmmxmmmxmxamxxt. What is prob of picking 1 t and 1 p?", "output": [ "1/171" ] }, { "id": "task835-f4cc3d370eba40cb92214c342b62b42a", "input": "What is prob of picking 1 b and 1 p when two letters picked without replacement from tpppbbpbbb?", "output": [ "4/9" ] }, { "id": "task835-a227b44b2bcd45ff8ca2b7a6d0196c43", "input": "Let f = 76/125 - 11537/1500. What is the common denominator of (-220)/(-45)*(-33)/(-8) and f?", "output": [ "12" ] }, { "id": "task835-4d0dc48b2b1c4c5ebb806ea4b91be14a", "input": "Three letters picked without replacement from mwwddmddmwwuwwwddww. What is prob of sequence wwm?", "output": [ "12/323" ] }, { "id": "task835-818cdbbb103c47438544a245410991cf", "input": "Let d = -25 - -162. What is the tens digit of d?", "output": [ "3" ] }, { "id": "task835-0d67fae4ad184b67988ab2e7526c6018", "input": "What is one quarter of a gram in milligrams?", "output": [ "250" ] }, { "id": "task835-4d21013adbc049caa306f73cdb3c7711", "input": "Suppose 20 = 5*f - 10. Let g = f - 15. Let y = 15 + g. Solve -4*i - y = -7*i for i.", "output": [ "2" ] }, { "id": "task835-0cbd7d2644a64a5ea6034bc6d97d6f69", "input": "What is prob of picking 1 a and 1 z when two letters picked without replacement from {a: 6, z: 4, t: 1}?", "output": [ "24/55" ] }, { "id": "task835-28a37ce24fdc4414b92361880e762e32", "input": "What is 13/4 of a litre in millilitres?", "output": [ "3250" ] }, { "id": "task835-5e9f3ba6edeb46a887115969b63ab310", "input": "What is the product of -0.02 and 20.2?", "output": [ "-0.404" ] }, { "id": "task835-084f7d00aa6d4f41a98e6b948c446c54", "input": "Convert 2298.084l to millilitres.", "output": [ "2298084" ] }, { "id": "task835-c7d241d4b2d343aaa87f08138f72b054", "input": "Three letters picked without replacement from {z: 4, p: 2, a: 3, c: 1, y: 6}. What is prob of sequence ppy?", "output": [ "1/280" ] }, { "id": "task835-081de1e13a8044d881ca3f3cf8947160", "input": "What is the seventh root of 3738 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-a3205afec8944e8087780e140d104767", "input": "What is prob of sequence hk when two letters picked without replacement from {r: 1, h: 10, n: 1, d: 3, j: 3, k: 1}?", "output": [ "5/171" ] }, { "id": "task835-e314dae08a284d2080f3df2bbd574f8f", "input": "Solve 87*z = 121*z - 340 for z.", "output": [ "10" ] }, { "id": "task835-ceb9a4d34acf45289b6597249a0d1a7c", "input": "Let v be (-3 - (-3 - -1)) + 3. Let h be 0/((-3)/2*v). Suppose h*q - 16 = -4*q - 4*n, 5*q - 24 = -4*n. What is the units digit of q?", "output": [ "8" ] }, { "id": "task835-032eba328a0248e9b45a8c98fb9a0263", "input": "Three letters picked without replacement from {o: 11, p: 5}. Give prob of picking 3 o.", "output": [ "33/112" ] }, { "id": "task835-4d409239ba5f4ba08e544190dfbf41d7", "input": "Solve -5*y + 24 = -4*j, -5*y + 6 = -3*j - 12 for j.", "output": [ "-6" ] }, { "id": "task835-0f5532aed0e844ef862d7475a2673e29", "input": "What comes next: 68, 66, 64, 62?", "output": [ "60" ] }, { "id": "task835-5cbf138040844a0b8445b33387ee4f3f", "input": "What is next in -163, -170, -177, -184?", "output": [ "-191" ] }, { "id": "task835-6d8e501a6b3a4169a7a686a1770d0a6a", "input": "What is the fifth root of 507 to the nearest integer?", "output": [ "3" ] }, { "id": "task835-4e1ee87fdb5b4cd4a933c1fcf196bcca", "input": "Let y = -10 + 42. Calculate the highest common divisor of 16 and y.", "output": [ "16" ] }, { "id": "task835-d407697b0ba544eeb51431f6fc514156", "input": "Let q(c) = c. What is the remainder when 6 is divided by q(2)?", "output": [ "0" ] }, { "id": "task835-4a8adf64b1394c2aa4d5da44781ec551", "input": "296*1", "output": [ "296" ] }, { "id": "task835-29210d3311374e5a8b1b58cc51b47240", "input": "Let i(a) = a**2 + a. Let c be i(-2). Solve 3 = -z + c*z for z.", "output": [ "3" ] }, { "id": "task835-db39ce82dad946b8bbb5409800036c5c", "input": "What is 1/20 of a meter in millimeters?", "output": [ "50" ] }, { "id": "task835-b3109385e5c14d419cc077c7b15c3409", "input": "What is next in -135, -241, -333, -405, -451, -465?", "output": [ "-441" ] }, { "id": "task835-71a53b626c7d4cfca3b4c643793f6acc", "input": "Calculate -2 divided by -692.", "output": [ "1/346" ] }, { "id": "task835-9d2f67091e1e4922ac99a3b0b1f0f290", "input": "Two letters picked without replacement from {o: 8, x: 2, m: 1, u: 1, v: 2, a: 3}. Give prob of picking 1 x and 1 o.", "output": [ "2/17" ] }, { "id": "task835-4ec332f382d64d8091b913905cd096a1", "input": "Calculate 8 - (0 + 7 + -4).", "output": [ "5" ] }, { "id": "task835-4049529ffd8c4fe496124a63bab9d0dc", "input": "How many microseconds are there in 2.811813ms?", "output": [ "2811.813" ] }, { "id": "task835-c23dd0a238244799a390f82ca04966d5", "input": "766.2*-0.3", "output": [ "-229.86" ] }, { "id": "task835-cc00894c5b81457a9bca12f431fb1988", "input": "Calculate prob of picking 2 q and 1 i when three letters picked without replacement from iqqiiiiiiqiiii.", "output": [ "33/364" ] }, { "id": "task835-cb60c04b732649f38aa55c057b909679", "input": "Three letters picked without replacement from {e: 3, z: 2}. Give prob of sequence eze.", "output": [ "1/5" ] }, { "id": "task835-5c4e0f1335a14c818737fd0b87835fdb", "input": "How many microseconds are there in 82.71096s?", "output": [ "82710960" ] }, { "id": "task835-cc0e0ad6500c4d8f91e8b935a97790d6", "input": "Convert 0.1204062um to centimeters.", "output": [ "0.00001204062" ] }, { "id": "task835-ca957481fc41418fa4c9a49fc27c9431", "input": "Three letters picked without replacement from zzamiiwmwimmwamam. What is prob of picking 3 w?", "output": [ "1/680" ] }, { "id": "task835-f12aa80f44184b508436ebdb446d2d70", "input": "In base 14, what is -4 + 3c4?", "output": [ "3c0" ] }, { "id": "task835-5b55245beb9b40c29ff970e33e75ed57", "input": "Calculate -0.064 + 734.", "output": [ "733.936" ] }, { "id": "task835-bd1147a608784d15b1ea63a4b91aee47", "input": "Calculate prob of picking 2 y when two letters picked without replacement from {h: 1, y: 1, q: 2, a: 1, u: 2}.", "output": [ "0" ] }, { "id": "task835-8e55e3ab520c422cb323f7eaf2e05457", "input": "Solve 2514*m = 2508*m - 24 for m.", "output": [ "-4" ] }, { "id": "task835-06370a7fc5074457a99f4c7d21bad651", "input": "Solve 0 = 5*v - 5, -2*g + 23 = -7*g + 3*v for g.", "output": [ "-4" ] }, { "id": "task835-51bf800db55c4b369b327326456eb086", "input": "How many tonnes are there in 342.7209 milligrams?", "output": [ "0.0000003427209" ] }, { "id": "task835-af79eae6ccbd4d86a0acd3675e33a571", "input": "Let s(x) = -5*x**3 + x**2 - x. Suppose 6*y - 2 = 4*y. Let z be s(y). Let g = z + 7. Solve g*a = 6*a - 12 for a.", "output": [ "3" ] }, { "id": "task835-9ff33865f03342e7a0b0623d6af4618f", "input": "Solve -150 = 44*p + 114 for p.", "output": [ "-6" ] }, { "id": "task835-2500fda90d8c44f587add28a87af7f25", "input": "What comes next: 30504, 30506, 30510, 30516, 30524?", "output": [ "30534" ] }, { "id": "task835-3073bde403204284bb15dc0c63b50e26", "input": "Let a(q) = q**3 - 13*q**2 + 12*q + 13. Let n be a(12). Let p(x) = 2*x - 13. What is the units digit of p(n)?", "output": [ "3" ] }, { "id": "task835-0aff05ed98ec4db8bccda4d866872c6c", "input": "Calculate prob of sequence ikk when three letters picked without replacement from {i: 2, g: 1, b: 1, k: 2}.", "output": [ "1/30" ] }, { "id": "task835-9fcb68239c914519b68b3b6921ef7b5a", "input": "Let f(i) = -i**2 - 10*i + 6. Calculate the smallest common multiple of f(-8) and 16.", "output": [ "176" ] }, { "id": "task835-56a63a5f343f4554a598b9fa78afad47", "input": "Let h = 66 + 44. What is the highest common divisor of h and 10?", "output": [ "10" ] }, { "id": "task835-dcd315fcd34f4b3f8e85228f6d329eff", "input": "How many seconds are there in 6275.9 hours?", "output": [ "22593240" ] }, { "id": "task835-135685153e2f4c3e9bc2d2f7e8dba92a", "input": "Let p = 2 + -1. Let c be 16/5 + p/(-5). Suppose 7*m - 4*t - 20 = c*m, -2 = -4*m - 5*t. Solve m*h = 2*h - 5*j - 13, -h - 2*j = 4 for h.", "output": [ "2" ] }, { "id": "task835-5d8b89bca49047b0965d197175bf8445", "input": "Solve 2*q - q - 19 = -3*w, 2*w = -5*q + 30 for q.", "output": [ "4" ] }, { "id": "task835-462a869d670341ed86bdbe68adb8f0b9", "input": "Let t be (10/25)/((-8)/(-20)). Solve -i + t = -0 for i.", "output": [ "1" ] }, { "id": "task835-82b2aec665f8478dac694071b20d9f2b", "input": "What is the fifth root of 22755 to the nearest integer?", "output": [ "7" ] }, { "id": "task835-40173464f98c4720a9ce4a2dda0b8d0f", "input": "Let c(s) = s**3 - 8*s**2 + 3*s - 10. Suppose 3 = r - 5. Let t = 32 - 27. What is the remainder when c(r) is divided by t?", "output": [ "4" ] }, { "id": "task835-375a87d1415049e893bfb333e9ab7cb5", "input": "Let k be (-50)/15*(-3)/(-2). What is the tens digit of (48 + k)*(-2 + 3)?", "output": [ "4" ] }, { "id": "task835-d55be8c7cdd14fa4a65e1c382ce7e8d3", "input": "What is the next term in 117, 116, 115?", "output": [ "114" ] }, { "id": "task835-a9c17e9e8a57465db04f3386f260d6f2", "input": "Calculate prob of sequence sass when four letters picked without replacement from {s: 7, a: 4}.", "output": [ "7/66" ] }, { "id": "task835-b87f9c5c87f541a081b9f11abb522804", "input": "What is prob of sequence wwss when four letters picked without replacement from sswws?", "output": [ "1/10" ] }, { "id": "task835-8bfed8dd3be94bf3848d27467f101926", "input": "Let s = 5 + -2. Let j(a) = 2*a - 1. Let g be j(s). Let i be (-1 + 0)/((-1)/g). Solve -41 = 5*d - 4*o, -i*d - 33 = -o - 4 for d.", "output": [ "-5" ] }, { "id": "task835-6352e3642f2a4ede84d162031927b798", "input": "Suppose 2*h + 3*z = 3*h, 0 = -h + 5*z. Calculate the remainder when (h - 4)*(-21)/6 is divided by 8.", "output": [ "6" ] }, { "id": "task835-00ee4937f2294892ab8ebe883bc8310d", "input": "Two letters picked without replacement from vssvvnddvvnlnan. What is prob of picking 1 l and 1 n?", "output": [ "4/105" ] }, { "id": "task835-10a2430744814d62b5edac970473ab00", "input": "What is prob of picking 4 i when four letters picked without replacement from iidididdidiid?", "output": [ "7/143" ] }, { "id": "task835-9e02a6de0c08405b91bdb9350e5004d0", "input": "Let v = -2/1793 + 19749/23309. Calculate the common denominator of v and 21/8.", "output": [ "104" ] }, { "id": "task835-f172f32f248442cdabb307ecbdc18ced", "input": "Let i = 18 + -12. What is the greatest common factor of 2 and i?", "output": [ "2" ] }, { "id": "task835-4360ad6c43694509a3a44f69e2b1fd95", "input": "Three letters picked without replacement from {g: 2, s: 8, l: 2, r: 4}. Give prob of sequence glr.", "output": [ "1/210" ] }, { "id": "task835-81fcabda3f3642ac92ccea34b6cb22ca", "input": "What is 988116.2 minutes in milliseconds?", "output": [ "59286972000" ] }, { "id": "task835-6699867dc08b4b1fadf8897ba98ed959", "input": "Two letters picked without replacement from {a: 4, e: 1, t: 3, s: 1, h: 4}. What is prob of picking 1 t and 1 e?", "output": [ "1/26" ] }, { "id": "task835-d811d47e03cd4c1c809cf42989bb28ee", "input": "How many micrometers are there in 21/4 of a millimeter?", "output": [ "5250" ] }, { "id": "task835-dcfcd87831264c6e963a13408aa361e5", "input": "What is prob of picking 2 n and 1 e when three letters picked without replacement from bnoenfjo?", "output": [ "1/56" ] }, { "id": "task835-c9b9df7101f148c3a9277744af610ba7", "input": "Divide -123 by -13.", "output": [ "123/13" ] }, { "id": "task835-ace7649d5cec4b72a9a2c1b3aa283887", "input": "In base 3, what is -12020 + 10?", "output": [ "-12010" ] }, { "id": "task835-a11e1b965149475cb1c1ae03493b8616", "input": "What is 2745 to the power of 1/7, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-5ab956b92ead4cf48dfa5dcb88f5f910", "input": "Evaluate 0 - 3 - -6 - -2.", "output": [ "5" ] }, { "id": "task835-5773ae51b7734fecb43f71bda9fabf2d", "input": "What is prob of sequence zung when four letters picked without replacement from guuunuzzuguungugn?", "output": [ "2/595" ] }, { "id": "task835-03eeee6f9dd04dae9add875d05083e15", "input": "Let c(v) = -v**2 + 5*v - 1. Suppose 0*a = -4*a + 16. Let p be c(a). Solve -p*u = -7*u + 16, u = -s - 1 for s.", "output": [ "-5" ] }, { "id": "task835-4ef2fa9cfae34ca8a86a710d84d9a996", "input": "What comes next: -32, -16, 0?", "output": [ "16" ] }, { "id": "task835-ff42696665bf474ead5214f7426fae61", "input": "How many months are there in 37.845 millennia?", "output": [ "454140" ] }, { "id": "task835-c986df4343384ea18187afca30bc2fc7", "input": "How many millimeters are there in 7063.451km?", "output": [ "7063451000" ] }, { "id": "task835-dc380a8c343b4c319d98440b9a5c4ac4", "input": "What is prob of sequence iimm when four letters picked without replacement from {i: 3, m: 3}?", "output": [ "1/10" ] }, { "id": "task835-9f06e7428460418f840fb4b3f564b29b", "input": "Convert 692.2908 days to seconds.", "output": [ "59813925.12" ] }, { "id": "task835-56fcac505f184a9983fb6720c3d41d17", "input": "In base 16, what is 2 - -15?", "output": [ "17" ] }, { "id": "task835-e6fd6ad2760049a89ff2bba19fcf7c1d", "input": "Suppose -2*q - 2 = -34. Calculate the least common multiple of q and 10.", "output": [ "80" ] }, { "id": "task835-f6eb5fd75617459386429ca421c99908", "input": "Let v = -7 - -11. Suppose 0 = 5*n + n - 78. Suppose v*a + n = p, -p + 15 = 5*a + 2. What is the tens digit of p?", "output": [ "1" ] }, { "id": "task835-84cbd6ee217f4d8b9a3082fcdca691d7", "input": "Calculate prob of picking 1 w, 1 q, 1 x, and 1 k when four letters picked without replacement from tknwkwwkxwtqkkk.", "output": [ "8/455" ] }, { "id": "task835-ff1e00e6474e40778da714941c420d3a", "input": "Two letters picked without replacement from {v: 4, o: 1, d: 1, j: 2, m: 3, k: 4}. What is prob of sequence vj?", "output": [ "4/105" ] }, { "id": "task835-d1719ce0090c483f813d84f80af4187c", "input": "Let i(h) = h**2 + 2*h - 4. Let k be (2/(-3))/(3/(-9)). Calculate the remainder when i(-5) is divided by 6/(0 + 3/k).", "output": [ "3" ] }, { "id": "task835-f6af915d86374d35b00f71a36938a57d", "input": "Solve g = -g - 2*g for g.", "output": [ "0" ] }, { "id": "task835-e913be875fa14794a5c0ba3604d9d6c2", "input": "Suppose -3*p + 5*b + 290 = 2*p, -5*b = 0. Let j = p + -6. Suppose 3*z = 3*v + 36, z = -5*v + 4 + 14. Calculate the highest common factor of z and j.", "output": [ "13" ] }, { "id": "task835-fd169bc6749e4968a85e794a6f151644", "input": "Convert 5685.116 weeks to seconds.", "output": [ "3438358156.8" ] }, { "id": "task835-8337aa8b00174769ac526bd75085c565", "input": "Three letters picked without replacement from cffcfcffffcffcffcfc. What is prob of sequence ccf?", "output": [ "28/323" ] }, { "id": "task835-64a2eb723ab44b889bdf79da46a51a50", "input": "Let y(m) = m**2 - m + 1. Let i be y(2). Suppose -9 = 2*n + 3*j, -i*n + 3*j = -4 - 5. Suppose -d + 4 = b, -2 = 4*d - 5*b - n. What is the units digit of d?", "output": [ "2" ] }, { "id": "task835-ec5f33a902314bebac7202c81c725b05", "input": "Four letters picked without replacement from {s: 2, l: 1, o: 1, i: 13}. Give prob of picking 1 s, 2 i, and 1 l.", "output": [ "39/595" ] }, { "id": "task835-fbe7394d781f44d18560b7f6a7380719", "input": "What is 73.2673l in millilitres?", "output": [ "73267.3" ] }, { "id": "task835-5b34c63bba3c4e6fb79c620b4460a253", "input": "Let l = -51266552/1957 + 52393/2. Let q = -726381539861/5753580 + 30929299/245. Let k = l - q. What is the common denominator of k and -43/8?", "output": [ "24" ] }, { "id": "task835-d89bd623efc74612a6091bb740a1ce51", "input": "Calculate prob of picking 2 k when two letters picked without replacement from {y: 3, k: 1}.", "output": [ "0" ] }, { "id": "task835-0dfffe7271dd426abf2357a26fa369d5", "input": "Suppose 3*d + 0*d = -5*l + 2, 5*l = 5*d - 30. Let q(v) = -8*v**3 + 2*v**2 + 3*v + 2. Let k be q(l). Calculate the greatest common factor of 17 and k.", "output": [ "17" ] }, { "id": "task835-36984650c5cf40f0b1b88cc757877915", "input": "What is the value of 2 - (-1 - -7) - -8?", "output": [ "4" ] }, { "id": "task835-649ca0334d9b48ee83c94307a0f73165", "input": "34/(-6) - 20/(-30)", "output": [ "-5" ] }, { "id": "task835-fa766302de224f8e9b46895166473e32", "input": "Evaluate 6/(-28)*1*(-16)/12.", "output": [ "2/7" ] }, { "id": "task835-fbba3a2800cf47ff91d0d418ae457086", "input": "Let p(c) = 3*c - 13. Suppose -23 = -3*s + b, -2*s + 4*s - 2*b = 14. Calculate the smallest common multiple of p(s) and 5.", "output": [ "55" ] }, { "id": "task835-88205f6d420f41c4b094ed2aa423a8cb", "input": "How many grams are there in 85.74213t?", "output": [ "85742130" ] }, { "id": "task835-8ad126d922914e238921696258d5cc0a", "input": "Four letters picked without replacement from bcbbbcbbbpbcbcpb. What is prob of picking 3 b and 1 c?", "output": [ "24/91" ] }, { "id": "task835-6854cbf8230d48ed97e544920ee9e498", "input": "Suppose a - 2*s - 32 = 0, -4*a + 25 + 87 = -4*s. Let t be (-62 - 2)/((-1)/3). Calculate the highest common factor of t and a.", "output": [ "24" ] }, { "id": "task835-79be7fcc8df34626b5363d6f8fb52160", "input": "Let h be (-3)/(-5) - 28/(-20). What is the remainder when 0/(-4) - (h + -17) is divided by 6?", "output": [ "3" ] }, { "id": "task835-21924dd584944f8f91167551c3763f49", "input": "What is 6.10094 years in months?", "output": [ "73.21128" ] }, { "id": "task835-b748644d9f714cc49459a8e96dfc81d4", "input": "Three letters picked without replacement from {g: 3, z: 1, h: 11}. Give prob of picking 1 g and 2 h.", "output": [ "33/91" ] }, { "id": "task835-e5f2e2d1cfa14cd6b3f08ebdcd66eff8", "input": "What is the next term in -1648, -1647, -1646, -1645?", "output": [ "-1644" ] }, { "id": "task835-d3ac331b87bb4d5081d42c2e4627aec9", "input": "Let g(y) be the third derivative of y**4/24 + 5*y**3/6 + y**2. Let t be g(-4). Suppose -2 - t = -x. What is the units digit of x?", "output": [ "3" ] }, { "id": "task835-750c8278d01947fd919acb65241b1146", "input": "Suppose -5*s = -152 - 198. Calculate the remainder when s is divided by 24.", "output": [ "22" ] }, { "id": "task835-56b16f85e31b4af5be9a605cf2322b0f", "input": "Solve 4*f + 4*z = 0, 0 = -28*f + 29*f - 2*z + 15 for f.", "output": [ "-5" ] }, { "id": "task835-28d8c7d3535348b3bf05d4eae2bedb7a", "input": "Solve 3*q = -3*q - 18 for q.", "output": [ "-3" ] }, { "id": "task835-bc7ff8c5973540d3a68ea89340ef4322", "input": "Suppose -3*r - 2*b = -10, -2*r - 2*b + 7 = -b. What is the units digit of r?", "output": [ "4" ] }, { "id": "task835-3b91bd0429c446d0a4af7ec9cbfdfaab", "input": "Let r = -676 - -264991/392. Let y = r + -8719/1176. Calculate the common denominator of y and -55/16.", "output": [ "48" ] }, { "id": "task835-fb5906160fee42b7a0766e2d5fafc6e3", "input": "Suppose -2*m - 2*h + 36 = 12, -2*m + 42 = -4*h. Suppose -2*u = 5*x - 40 - 2, -u = x - m. Solve 14 = 4*d + 2*s, -s = 2*d - 6*d + u for d.", "output": [ "3" ] }, { "id": "task835-a07a3302d7f7449e9bf976aa56bf7cff", "input": "In base 12, what is -826 - -2?", "output": [ "-824" ] }, { "id": "task835-0eac119afe0e4480b09e17604dc708a0", "input": "What is the value of -59 - -62 - (0 - 2)?", "output": [ "5" ] }, { "id": "task835-4b5ad066697d48b6bb41feba6a2c3e3f", "input": "Let h = 16 - 3. Suppose -x - 11 = 3*x + 3*g, x - 6 = g. Let m = x + h. What is the units digit of m?", "output": [ "4" ] }, { "id": "task835-586e07078f244e3da3f494e93b39e182", "input": "75 divided by 75", "output": [ "1" ] }, { "id": "task835-87ca9ed5960b404a8a27ec189f16537f", "input": "In base 2, what is 101 + 11111?", "output": [ "100100" ] }, { "id": "task835-77b874a3002a44c9a49759f8bdf316c5", "input": "What is prob of picking 1 e, 1 v, 1 c, and 1 y when four letters picked without replacement from vcczevccy?", "output": [ "4/63" ] }, { "id": "task835-6f706ea5f85a4df6b7987b2c9c973804", "input": "Suppose 0 = -0*f - 3*f + 48. Suppose 3*o + 2*y = f, 5*y + 10 = 3*o + 4*y. What is the units digit of o?", "output": [ "4" ] }, { "id": "task835-24fc4d724c9047ea828ca1ff5a103a4e", "input": "What is 0.7183641 millimeters in nanometers?", "output": [ "718364.1" ] }, { "id": "task835-16a889c887e441a482ce36feca32104d", "input": "What is next in -567, -578, -605, -654, -731?", "output": [ "-842" ] }, { "id": "task835-35aaa0d619eb4b7484f1c4184c8484d6", "input": "Three letters picked without replacement from {g: 3, t: 3, q: 7}. Give prob of picking 3 g.", "output": [ "1/286" ] }, { "id": "task835-02e75fb732344571b2c1b9e26856e321", "input": "What is prob of sequence fff when three letters picked without replacement from {h: 1, j: 2, v: 1, f: 1}?", "output": [ "0" ] }, { "id": "task835-65642468e74b4e42a5494381a777b22e", "input": "What is prob of sequence szuz when four letters picked without replacement from {u: 2, s: 1, z: 2}?", "output": [ "1/30" ] }, { "id": "task835-a86a5705d7a6419d845875fdf8750d6a", "input": "What is next in 37, 4, -27, -56, -83, -108, -131?", "output": [ "-152" ] }, { "id": "task835-817895cc56974932a845ec5c04b4ba03", "input": "Calculate the least common multiple of 21 and (-3 - 7/(-2))*10.", "output": [ "105" ] }, { "id": "task835-c33388b0efd440a39f738f00adedda0f", "input": "Convert 39.13478 nanometers to kilometers.", "output": [ "0.00000000003913478" ] }, { "id": "task835-7a7783a8e1f74edc8466ad37d4cf4da6", "input": "Two letters picked without replacement from pppppppf. What is prob of picking 1 p and 1 f?", "output": [ "1/4" ] }, { "id": "task835-65cfc1a354114b95b75084a959eac667", "input": "Let b(d) = d**2 + 9*d + 10. Let p be 1/(1*(-2)/14). Let j be b(p). What is the lowest common multiple of (-4)/(2/j*4) and 11?", "output": [ "22" ] }, { "id": "task835-6a15848fe73e4df19be3342853bd0640", "input": "In base 7, what is -1 + 1?", "output": [ "0" ] }, { "id": "task835-0e70883b72f94c19ae6ec8fc56af6a93", "input": "In base 16, what is -a + 2e1?", "output": [ "2d7" ] }, { "id": "task835-8be5a5194a104bbba1ebff886846a573", "input": "Three letters picked without replacement from bjjjbrbbbyqbrrbbyb. Give prob of picking 3 j.", "output": [ "1/816" ] }, { "id": "task835-d583621ebf5b41ec97ed7e7ccbb017da", "input": "Convert 38795.29 seconds to nanoseconds.", "output": [ "38795290000000" ] }, { "id": "task835-ad0b1c6e4947467d9c30aa10b5c7015d", "input": "Suppose 4*j - 72 = -3*i, j - 5 = -i + 6*j. Calculate the remainder when i is divided by (2 + -4)*7/(-2).", "output": [ "6" ] }, { "id": "task835-373b1c04a9864181a40217b2bf8851ee", "input": "Two letters picked without replacement from {o: 2, y: 4, u: 8, d: 1, k: 1}. Give prob of picking 1 d and 1 u.", "output": [ "1/15" ] }, { "id": "task835-beaa46d6f23e4bd6b3afe6b25c95709a", "input": "Suppose -7 - 3 = -k - 3*x, k - 2*x - 10 = 0. Let w be 8/20 - (-46)/k. Let r(m) = 5*m - 5. Let l be r(w). Calculate the greatest common divisor of 50 and l.", "output": [ "10" ] }, { "id": "task835-5526559124d549b4bc0ccebe69abe5eb", "input": "Suppose 4*u - 2*u - 28 = 0. Suppose 0 = -4*z - z - 15. What is the lowest common multiple of u and 12*(z - -2)/(-1)?", "output": [ "84" ] }, { "id": "task835-dbac36be303148aea976bb3ea5724020", "input": "What is one twentieth of a kilogram in milligrams?", "output": [ "50000" ] }, { "id": "task835-6fdd328654ad4ca696ac18ed2fe8df0a", "input": "Calculate prob of sequence it when two letters picked without replacement from {b: 1, j: 2, t: 1, e: 11, i: 1, w: 2}.", "output": [ "1/306" ] }, { "id": "task835-b631d76591aa41f7923be2c311a40236", "input": "Let c(t) = -1 - t - 2 + 1. Let i be c(0). Let o(w) = 5*w**2 + w + 1. Let m be o(i). Calculate the highest common factor of m and 38.", "output": [ "19" ] }, { "id": "task835-54f62553f6d94d08b266052ae143fbbb", "input": "Let y be 957/777 + (-2)/7. Let w = y + -2011/444. Calculate the common denominator of w and 2/(-1) - 165/18.", "output": [ "12" ] }, { "id": "task835-75045ef47e3749b483386c9258de4676", "input": "What is next in -154, -164, -180, -202?", "output": [ "-230" ] }, { "id": "task835-860e93d7a8504c4fa57bc5bcc50c5240", "input": "Suppose 2*c = 4*c - 24. Calculate the remainder when c is divided by 7.", "output": [ "5" ] }, { "id": "task835-1c88d8d8ba5442cfa48bd128619cdca4", "input": "Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {f: 11, h: 2, x: 6}.", "output": [ "55/323" ] }, { "id": "task835-e7973b1a23264505af96d9f404f2ad71", "input": "Let t = -3027 + 18257/6. What is the common denominator of t and (23 + -21)/(56/186)?", "output": [ "42" ] }, { "id": "task835-9ff4da9dcb3a4d6f83ebfff25a061b2c", "input": "How many milligrams are there in 0.438524t?", "output": [ "438524000" ] }, { "id": "task835-6e6460d6f7984060998f832762146d49", "input": "Calculate prob of sequence lll when three letters picked without replacement from lll.", "output": [ "1" ] }, { "id": "task835-950ffe19ac7d44a297435d0462817625", "input": "What is next in -632, -629, -626, -623?", "output": [ "-620" ] }, { "id": "task835-06a8182743264fe78aa3e04f1e1da18f", "input": "Solve -90 = -2*s + r - 100, -3*r - 25 = 5*s for s.", "output": [ "-5" ] }, { "id": "task835-115dd505178b43738e784cebb9949014", "input": "Calculate prob of sequence pnpp when four letters picked without replacement from {n: 4, p: 16}.", "output": [ "112/969" ] }, { "id": "task835-b8dbd1187efd43f59d2401fe27a50399", "input": "Find the common denominator of (16/18)/((-3)/9) and -11/10.", "output": [ "30" ] }, { "id": "task835-7fa0bb9d197446e9a387a7532d61626d", "input": "Let x = 470375/24 + -19593. Calculate the common denominator of x and -10/3.", "output": [ "24" ] }, { "id": "task835-4759b8a709a04b7a94f0f71920f1e27a", "input": "What is the remainder when 4 is divided by -4*(9/(-4))/3?", "output": [ "1" ] }, { "id": "task835-62ba67253ce043ee99a0f4da6eda769e", "input": "Calculate prob of sequence wx when two letters picked without replacement from {n: 2, w: 1, x: 1, l: 4, d: 2}.", "output": [ "1/90" ] }, { "id": "task835-e4f0b4016b5b4c4f9ff6a615e98cf21f", "input": "Three letters picked without replacement from {s: 8, g: 2}. What is prob of picking 1 s and 2 g?", "output": [ "1/15" ] }, { "id": "task835-c4e9f7850e8142f4bdf728612a7b6471", "input": "Suppose 0 = -2*b + 22 - 6. Suppose b*t - 76 = 4*t. Let u = t - 8. What is the units digit of u?", "output": [ "1" ] }, { "id": "task835-585c4d45fa834287a83ac801914b76d3", "input": "What is 3.603696 tonnes in grams?", "output": [ "3603696" ] }, { "id": "task835-b6c1f27f445543f6800db8fb58b18ed0", "input": "Let k = -29 + 44. Let r = k - -1. Calculate the greatest common divisor of 2 and r.", "output": [ "2" ] }, { "id": "task835-c8e155f929e447f0bf61cd5fe563be42", "input": "How many millennia are there in 5137.518 decades?", "output": [ "51.37518" ] }, { "id": "task835-0d2c686292674232bf0ea1960f72c69e", "input": "Suppose 2*n + 2*n = 4. Suppose -n = f - 2. What is the highest common divisor of f and 5?", "output": [ "1" ] }, { "id": "task835-6c899782bf7e48ffb4c86c5acf363495", "input": "In base 7, what is -5 + -463?", "output": [ "-501" ] }, { "id": "task835-ae3349fad7944b7abb461cd027ce7414", "input": "How many kilograms are there in 68868.17 nanograms?", "output": [ "0.00000006886817" ] }, { "id": "task835-122190017ff84deb8ad769c23d480a6b", "input": "Product of 0.0298 and 0.6.", "output": [ "0.01788" ] }, { "id": "task835-11e05277167f46ebaaaacbfb4366456b", "input": "Two letters picked without replacement from {l: 1, e: 2, j: 6, t: 5, n: 3, b: 2}. What is prob of picking 2 t?", "output": [ "10/171" ] }, { "id": "task835-ef82fc62dda3456a87c9b6b38a06d336", "input": "Let c = -5 + 18. Let o be (2/(-3))/(2/(-15)). Suppose 93 = o*i - 97. What is the remainder when i is divided by c?", "output": [ "12" ] }, { "id": "task835-1823f526ef374890bdfdf65afbf21580", "input": "Solve u + 8 = 5*u for u.", "output": [ "2" ] }, { "id": "task835-76b39a74b8414ceaa7b1c93d347506b3", "input": "Let g(y) = -5*y - 12. What is the remainder when 20 is divided by g(-4)?", "output": [ "4" ] }, { "id": "task835-55bf0abe8c6f4e859b9834f578fd8982", "input": "What is the remainder when (-122)/(-2) + (-4 - -5) is divided by 22?", "output": [ "18" ] }, { "id": "task835-9e1c68bd623443398d9bad7b5bcc6876", "input": "Two letters picked without replacement from {n: 10, t: 2}. Give prob of sequence tt.", "output": [ "1/66" ] }, { "id": "task835-de955beb40bf4b509d6e74c2da86c2b2", "input": "Evaluate 6/12*-21*(-6)/(-9).", "output": [ "-7" ] }, { "id": "task835-f0c295c4408d4bddba94a3ad2e695555", "input": "Let j(g) = -g**2 + 15*g - 26. Let s be j(9). Let b be 1/((-1)/(-70)) + 0. Calculate the highest common factor of b and s.", "output": [ "14" ] }, { "id": "task835-00c7a896cfd44a488c6c4267ac217e8f", "input": "Solve 8*k - 629 + 573 = 0 for k.", "output": [ "7" ] }, { "id": "task835-871529414ed240d09ea785d7bbd6a696", "input": "Suppose 56 = -2*w - 5*r, r - 5*r + 38 = -3*w. Let y = w - -20. Solve -3*u = 4*g - 5*u - y, -6 = -2*u for g.", "output": [ "2" ] }, { "id": "task835-b656a9218939409eb26fd3dfff942743", "input": "Let o = 292360199/11290 + -51791/2. Let d = -64357/11290 + o. What is the common denominator of d and -111/10?", "output": [ "10" ] }, { "id": "task835-8de0933cb01b4be5bf8cb26c8d7014de", "input": "How many months are there in five eighths of a millennium?", "output": [ "7500" ] }, { "id": "task835-fdfc4d5812514691a57ba753ec15167e", "input": "What is 1/10 of a century in decades?", "output": [ "1" ] }, { "id": "task835-bf9dc4da249d4e82bffd01d44350458b", "input": "Suppose b + 3*k + k = 7, 5*k - 20 = -5*b. Suppose 2*l + 4 = 0, -l - 16 - 1 = -5*d. Solve -b*q - 14 = d*o - 2, 4*q = 5*o + 20 for q.", "output": [ "0" ] }, { "id": "task835-0509a253b3fe4869960fc5081ad5b428", "input": "Two letters picked without replacement from njjzjqqjajatajz. Give prob of picking 1 t and 1 a.", "output": [ "1/35" ] }, { "id": "task835-e4ac7a4623064817a2f952366330fbe4", "input": "Calculate the remainder when 49 is divided by (-2)/(-7) - (430/(-14) + 3).", "output": [ "21" ] }, { "id": "task835-4280129f47c6493e859743157daf2d02", "input": "Convert 90013.43 decades to millennia.", "output": [ "900.1343" ] }, { "id": "task835-91045a9cd8c9424c8f23dd284fb89161", "input": "How many milligrams are there in 10.07951kg?", "output": [ "10079510" ] }, { "id": "task835-86c9a7acf88f40979824eac11f661ff8", "input": "Suppose -s = 4*r - 45, -s - r + 4*r = -38. Calculate the remainder when 121 is divided by s.", "output": [ "39" ] }, { "id": "task835-2f6adc013174481787d9c21d12678e20", "input": "Suppose 4*d + q - 9 = 2*d, 5*q - 5 = -2*d. Calculate the greatest common factor of d and 65.", "output": [ "5" ] }, { "id": "task835-5e5ad01741244db6a4e3e5b3c58660fb", "input": "Let m be -2*1*(-5)/2. Let k be 0/3 + 6 + -2. Suppose 4*n = 2*n + k. Solve 0 = n*q + m + 1 for q.", "output": [ "-3" ] }, { "id": "task835-8ba0caaf28bc4e348edbe9400d9ed52c", "input": "Calculate prob of sequence kab when three letters picked without replacement from bbiaaaakabbka.", "output": [ "4/143" ] }, { "id": "task835-94877d905fe44a2880e2892e62ed432e", "input": "Two letters picked without replacement from {t: 2, d: 11, s: 6}. Give prob of sequence st.", "output": [ "2/57" ] }, { "id": "task835-12d0f854cede45f2a6047bd0d2112f37", "input": "Evaluate -35 + 38 - (3 - (2 + -3)).", "output": [ "-1" ] }, { "id": "task835-73131bf7c7d94c729305c606642c43d7", "input": "Let r(j) = -17*j - 3. Suppose 4*c = -4*v - 36, 5*v - v - 4 = 4*c. Let a be r(v). Calculate the greatest common factor of 26 and a.", "output": [ "13" ] }, { "id": "task835-dde6c5570e764e019f83f4d23b9cfa81", "input": "How many millilitres are there in thirteen quarters of a litre?", "output": [ "3250" ] }, { "id": "task835-c54c592337db4dfe87838279e2fbda59", "input": "What is the tens digit of 4/((-40)/(-75))*(-44)/(-2)?", "output": [ "6" ] }, { "id": "task835-20c9ad3542344091b608e6ef605d5bb8", "input": "How many milliseconds are there in 4.649586us?", "output": [ "0.004649586" ] }, { "id": "task835-0ea4286ebb2d47379cd0faa1b80b8e64", "input": "Suppose 91*v - 74 = 90*v. What is the remainder when v is divided by 15?", "output": [ "14" ] }, { "id": "task835-a42c46cab8e342989582f446dfb613e7", "input": "Let a(c) = -c**3 - 13*c**2 - 23*c - 5. Let s be a(-11). Calculate the highest common factor of s and 30.", "output": [ "6" ] }, { "id": "task835-f1abedb2bf2a4b688a3d390d71a60500", "input": "Convert 994.8408l to millilitres.", "output": [ "994840.8" ] }, { "id": "task835-bc3fe85afaae439ca037013097a52166", "input": "Three letters picked without replacement from zxxzxzlzxxzxfzzxx. Give prob of picking 1 l and 2 x.", "output": [ "7/170" ] }, { "id": "task835-24b02ec5362f473aaa9abd427670bb03", "input": "Three letters picked without replacement from mommg. Give prob of sequence omg.", "output": [ "1/20" ] }, { "id": "task835-2215cefbf4834db38faa9251c8bd346c", "input": "How many nanograms are there in 0.665001ug?", "output": [ "665.001" ] }, { "id": "task835-d19dd8fe8cb548ec8a241de108f6b020", "input": "Suppose 0 = 2*r + 8*r - 110. Let a(s) = s**2 + 1. Let d(f) = f**2 - 8*f. Let u be d(8). Let i be a(u). What is the highest common factor of i and r?", "output": [ "1" ] }, { "id": "task835-da8dc1692e9248e4b3a11b2411d9403c", "input": "What comes next: -26, -42, -58, -74, -90, -106?", "output": [ "-122" ] }, { "id": "task835-896c2f14d4a74b26bd1bf1428d76fcb8", "input": "Suppose 22 = 2*a + 4*o, 7*a + o = 2*a + 10. What is the least common multiple of a and 10/35 - 122/(-14)?", "output": [ "9" ] }, { "id": "task835-e454e38a17e64cd3990d1c94fd16f700", "input": "Calculate prob of sequence ffff when four letters picked without replacement from {f: 6}.", "output": [ "1" ] }, { "id": "task835-804ec69b46bb427bbda6acc9f6636c32", "input": "How many millilitres are there in 3/25 of a litre?", "output": [ "120" ] }, { "id": "task835-149151621e3b4698a1e3fd497dc08aad", "input": "What is 6/5 of a kilometer in meters?", "output": [ "1200" ] }, { "id": "task835-735f02081f574e5b960e7233cb2d69b9", "input": "How many months are there in one twentieth of a decade?", "output": [ "6" ] }, { "id": "task835-67177efcc4464caeb4c51514982d7eb0", "input": "Suppose 5*f - 15 = 2*f. Solve v = f*v for v.", "output": [ "0" ] }, { "id": "task835-5efad49cc76f499d888603f569bc0e94", "input": "How many millilitres are there in 442.2491l?", "output": [ "442249.1" ] }, { "id": "task835-39fb96a517024277a2d89a1fbc41edc2", "input": "Four letters picked without replacement from {u: 6, b: 2, q: 1, k: 4, h: 7}. What is prob of picking 3 h and 1 u?", "output": [ "14/323" ] }, { "id": "task835-f8e57951f3a84b28b525a8077db496e4", "input": "Let z(s) be the third derivative of 0*s**3 + 0*s**4 + 2/15*s**5 + s**2 + 0*s + 0. What is the units digit of z(-1)?", "output": [ "8" ] }, { "id": "task835-d7d56afd99e34369a5bac505295332dd", "input": "Let v = 13 + 12. What is the remainder when 97 is divided by v?", "output": [ "22" ] }, { "id": "task835-c8a06cf83c704ea0b4d65a9ad1c7d41b", "input": "Let q = -2 + 3. What is the smallest common multiple of 0 + 9 + q + 0 and 1?", "output": [ "10" ] }, { "id": "task835-21f25d56f14c44c38f44057da241182e", "input": "Let c = 55 + -29. What is the tens digit of c?", "output": [ "2" ] }, { "id": "task835-92d3d0290c9a4935a691e68041be0241", "input": "What comes next: -18, -32, -60, -108, -182, -288, -432, -620?", "output": [ "-858" ] }, { "id": "task835-97ca98a277ef40ed8676c4ef3c8471b7", "input": "0*480", "output": [ "0" ] }, { "id": "task835-8ad275f51b694dae90b7bd0c302149a6", "input": "Solve -4*a - 10 = -18 for a.", "output": [ "2" ] }, { "id": "task835-95a2d29d1423412e8667add13b42f31a", "input": "Let q = 3 - -9. What is the highest common divisor of 6 and q?", "output": [ "6" ] }, { "id": "task835-e83fbea7164d4b6ea31b835a9b597501", "input": "Evaluate (-1)/(13/(-84 + 6)).", "output": [ "6" ] }, { "id": "task835-1a41976bb7e94215b3858c1771044068", "input": "Suppose -4*m = -3*g + 204, m + 136 = 2*g - m. What is the tens digit of g?", "output": [ "6" ] }, { "id": "task835-736c3a3079bb4ec79bc8500365a4296f", "input": "Calculate the common denominator of 1/(3/(-6)) - 402/(-60) and -71/12.", "output": [ "60" ] }, { "id": "task835-9b4c288799b347f2b3fbe583b7de2a10", "input": "Convert 0.5158104 decades to millennia.", "output": [ "0.005158104" ] }, { "id": "task835-8449a8de0f1f4d2e88a39604b2624b60", "input": "What is 6*(16/20)/(6/5)?", "output": [ "4" ] }, { "id": "task835-396ccb0563584ca1aad2c55e631eafd8", "input": "How many microseconds are there in 3/40 of a millisecond?", "output": [ "75" ] }, { "id": "task835-25b37825d7c640dfbcd39a8784c88703", "input": "Four letters picked without replacement from {i: 13, s: 1, r: 2, g: 3}. Give prob of sequence rsrg.", "output": [ "1/15504" ] }, { "id": "task835-aba3ef85730a40a2b3273d29164370e9", "input": "Suppose -19*v + 15*v + 20 = 0. Suppose -2*l + v*l = -3*h + 45, 2*l - 40 = -3*h. Let b = 31 - 21. What is the lowest common multiple of h and b?", "output": [ "10" ] }, { "id": "task835-ae676f870a154953a4486f5467d6f7a1", "input": "Four letters picked without replacement from yyayyyyxyyxyaxxaa. What is prob of picking 1 x and 3 y?", "output": [ "12/85" ] }, { "id": "task835-c307bde608ed4d8cbacbfe310099c507", "input": "Let z be (2/4)/(5/(-70)). Let a(s) = s**3 + 7*s**2 - 2*s - 6. Let k be a(z). Solve -5*i = -10, 3*i = 4*v - i + k for v.", "output": [ "0" ] }, { "id": "task835-a9620ded3010411ca6a9a42553c0a630", "input": "What is (81/135)/(18/5)?", "output": [ "1/6" ] }, { "id": "task835-f46478b34df0498cb3939dc06ee88b97", "input": "Solve -11*r + 10*r - 12 = 2*z, 0 = 4*z + 20 for r.", "output": [ "-2" ] }, { "id": "task835-6b3baa33228b419c9e07dde2bf2603f5", "input": "Let b(n) = -n - 3. Let s be b(-5). Suppose k - 4 = -s*p - 3*p, -3*k + 2*p + 12 = 0. What is the greatest common factor of 44 and k?", "output": [ "4" ] }, { "id": "task835-65203f7920f940a5872827e4b6a1fc93", "input": "Calculate prob of picking 1 v, 1 s, and 2 w when four letters picked without replacement from swwwvvwvwnnvs.", "output": [ "16/143" ] }, { "id": "task835-882408e2660a43f497f1b91abe81acd5", "input": "In base 7, what is -24 + 0?", "output": [ "-24" ] }, { "id": "task835-4273b778d52349a6b72572ee9c0f9e0d", "input": "Suppose -5*w - 8 = -3*w, 5*q - 4*w = 41. Let o be (-9)/(-15)*(-7 + 2). Calculate the remainder when q is divided by (3 - (o + 3)) + 0.", "output": [ "2" ] }, { "id": "task835-11f66c60b9514409a4690f63d62c8321", "input": "What is fifty-five halves of a litre in millilitres?", "output": [ "27500" ] }, { "id": "task835-4088bbabbc554f15a8d9a9e00fafe3fa", "input": "How many kilometers are there in 2.673148 centimeters?", "output": [ "0.00002673148" ] }, { "id": "task835-9cecfd19d8ff4678bac52a895634a1cd", "input": "What is the remainder when 46 is divided by (5*-5)/(19 - 20)?", "output": [ "21" ] }, { "id": "task835-6b694aa86364492b826d3433bb88b124", "input": "Calculate the remainder when (1*(1 + 2) - 114)*-1 is divided by 28.", "output": [ "27" ] }, { "id": "task835-003f75661b214305977049bfd0a00af0", "input": "Let z(q) be the third derivative of -q**6/120 - q**5/20 + q**4/12 - 5*q**3/6 - 6*q**2. Let x be z(-4). Solve -l + 8 = x for l.", "output": [ "5" ] }, { "id": "task835-7d9133ca450e4bbfb1022b53ff9882f0", "input": "Solve 5*w - 75*n + 78*n = 1, -4*n + 6 = 2*w for w.", "output": [ "-1" ] }, { "id": "task835-2f8ff853fcf54005b57f713036cc0ae9", "input": "How many milligrams are there in twenty-five quarters of a gram?", "output": [ "6250" ] }, { "id": "task835-c040a3791c1444949abaebae113712ab", "input": "What is next in -171, -327, -483?", "output": [ "-639" ] }, { "id": "task835-57e7e895098942049e58183d4fdab181", "input": "What comes next: -86, -759, -2586, -6143, -12006, -20751, -32954, -49191?", "output": [ "-70038" ] }, { "id": "task835-98aacdcea8c242318c9533b74baa6496", "input": "Three letters picked without replacement from {t: 7, z: 4, f: 8, b: 1}. Give prob of sequence tfb.", "output": [ "7/855" ] }, { "id": "task835-72f288f215d14368a10e890b3e39c5f1", "input": "Calculate (-2 - 1 - (-3 - 3)) + -6.", "output": [ "-3" ] }, { "id": "task835-c937103f8b654be7b89f56edb066ffea", "input": "Solve 5*m - z + 11 = 34, 3*z = 4*m - 25 for m.", "output": [ "4" ] }, { "id": "task835-958760fb17d94a788b73165b0c889dc3", "input": "Suppose -6*s + 2*s = 60. Let i = 0 + s. What is the remainder when (-44)/(-3) - (-10)/i is divided by 5?", "output": [ "4" ] }, { "id": "task835-8a059fe629d74703a2f3938b68f886ed", "input": "Let y(c) = -c**3 + 6*c**2 + 4*c - 4. Suppose 2*n - 16 + 4 = 0. Calculate the smallest common multiple of y(n) and 4.", "output": [ "20" ] }, { "id": "task835-10103016aee4486fb410cb6b1ea0f0b0", "input": "How many hours are there in 17/4 of a week?", "output": [ "714" ] }, { "id": "task835-6184a310836a4e25bc71c44e4433b8e2", "input": "Calculate the remainder when 23 is divided by (12/2 + -4)*3.", "output": [ "5" ] }, { "id": "task835-53e6102d47254a0a94e829f0cac10ec6", "input": "What is the common denominator of (-2 + 1)*19/6 and 3 - 351/42 - 1*2?", "output": [ "42" ] }, { "id": "task835-9108e3935a434009b246579290fc88a7", "input": "How many years are there in 33/5 of a decade?", "output": [ "66" ] }, { "id": "task835-95641cf95e15410ca8a096019a16c1cd", "input": "Suppose -2*n - n = -81. Let s be (-2)/(2/(-1)) + 3. Suppose 17 = s*j - n. What is the units digit of j?", "output": [ "1" ] }, { "id": "task835-3f611233c4f640f599c46bebecf9760b", "input": "Let j(k) = k + 12. Let r be j(-7). Suppose -3 = a, -w + 3 = 2*a + r. Solve m + 5*y - 20 = -w*m, -4*m + 3*y - 19 = 0 for m.", "output": [ "-1" ] }, { "id": "task835-6da6a161eb48447c86f476506ac790aa", "input": "195 divided by -13", "output": [ "-15" ] }, { "id": "task835-1ae483a19e954002b3db56f885a88d09", "input": "What is 1/5 of a millennium in centuries?", "output": [ "2" ] }, { "id": "task835-23f2cd2a8a0a404d9923e5a05b7b06ce", "input": "Let p be 2 - (-3)/((-6)/8). Let j = -2 - p. Let z = 46 - 46. Solve -3*w + j*w + 9 = z for w.", "output": [ "3" ] }, { "id": "task835-76df2b6d1b8843f289874bf96ecbc94d", "input": "What comes next: 1072, 1071, 1070?", "output": [ "1069" ] }, { "id": "task835-d5c58ef0e207478da913dcd34df6231c", "input": "Suppose 158 = 4*d - k, -d = -0*d - 5*k - 49. Suppose 6*f - 2*f = 52. Calculate the greatest common divisor of d and f.", "output": [ "13" ] }, { "id": "task835-b71a6862b6714e63b71c4aa3ec092e6c", "input": "1530 divided by 306", "output": [ "5" ] }, { "id": "task835-1c3782bcc8ad4a948ac1a65654b5aa3f", "input": "Suppose -l + 7 + 13 = -3*t, 2*t = 2*l - 20. Let v = 18 - t. What is the tens digit of v?", "output": [ "2" ] }, { "id": "task835-65ba38e1310b4763a0ffc2f595b70e2f", "input": "Suppose -4*j = -4*u + 40, 3*u = 5*j - 0*j + 48. Let p = 17 + j. What is the units digit of p?", "output": [ "8" ] }, { "id": "task835-742016fbded24e08b7bee54b42ec6f57", "input": "Let f be 4 + (-10)/(-5) + 1. What is the greatest common factor of 1 and f?", "output": [ "1" ] }, { "id": "task835-6084ffdcb5ab4a47b30bdc53bf9035d9", "input": "What is 42213 to the power of 1/2, to the nearest integer?", "output": [ "205" ] }, { "id": "task835-7658b9bef45941019401341ca55129f0", "input": "Four letters picked without replacement from {r: 10, h: 10}. What is prob of picking 1 h and 3 r?", "output": [ "80/323" ] }, { "id": "task835-46f1879deb79497ab0ac8bb674cbbe0b", "input": "What is 8/25 of a millennium in months?", "output": [ "3840" ] }, { "id": "task835-eefc03193d454afab4cac9d576b22e21", "input": "What is 19450 minus -0.8?", "output": [ "19450.8" ] }, { "id": "task835-f4a5ecee871843bebb0839626232929f", "input": "What is 1/4 of a year in months?", "output": [ "3" ] }, { "id": "task835-f13ded699da440b4853fb329e251d4cc", "input": "Suppose 4*d - 30 = -2*d. Solve 4*o + 4*h = h + 4, 3*h - 2 = -d*o for o.", "output": [ "-2" ] }, { "id": "task835-45fa6aba907c475399b967d4eb7c7afa", "input": "What is the tenth root of 1210 to the nearest integer?", "output": [ "2" ] }, { "id": "task835-2e79c45a1c2f4b048dcb588d7984ca19", "input": "What is prob of picking 4 l when four letters picked without replacement from lelllllelelllelllll?", "output": [ "455/1292" ] }, { "id": "task835-a912a8fc15974442b73db902bcb2f1fb", "input": "What is ((-12)/9)/(240/8)*-5?", "output": [ "2/9" ] }, { "id": "task835-ecf45909aad44757aace2467aca17496", "input": "Calculate 1 + 364.", "output": [ "365" ] }, { "id": "task835-36927832b2604d6fa54e4b89dcf2a8a0", "input": "What is (-3)/(-12) - (4 + (-76)/16)?", "output": [ "1" ] }, { "id": "task835-2fa77042c67e4eecb64b032083ee0f51", "input": "How many centuries are there in 246.155 millennia?", "output": [ "2461.55" ] }, { "id": "task835-3a85883439b64fb8b15c22c194e9f9d8", "input": "Solve -31*k + 34*k + 4*i = 6, -10 = -5*k - 4*i for k.", "output": [ "2" ] }, { "id": "task835-6975574b8713484faf93c69b9a3ecbd9", "input": "Let q(v) = v**3 + 6*v**2 + 3*v + 5. Let r be q(-5). Suppose 0 = -i + 10 - 0. Calculate the highest common divisor of i and r.", "output": [ "5" ] }, { "id": "task835-b19924c4710f450580429c780d3f3065", "input": "Solve 2*v + 5 - 13 = 0 for v.", "output": [ "4" ] }, { "id": "task835-eaac2cba8be94e1098423634bb1ba0b9", "input": "What is the next term in -450, -421, -394, -369, -346, -325, -306?", "output": [ "-289" ] }, { "id": "task835-bf4e73b417a449e58bc5510b57db210b", "input": "Let b(c) = 4*c**2 - 6*c - 2. What is the lowest common multiple of b(3) and 32?", "output": [ "32" ] }, { "id": "task835-94a98a76e3d941539459cb1112b52dec", "input": "What is the next term in -85, -190, -307, -436, -577, -730, -895?", "output": [ "-1072" ] }, { "id": "task835-e92e8cf4e5d845ceade001212569f523", "input": "How many hours are there in 40.53144 weeks?", "output": [ "6809.28192" ] }, { "id": "task835-5f42bd04eede47748c1d2e5650d145f2", "input": "Solve -16 = 4*d - 4, 3*o = 4*d + 3 for o.", "output": [ "-3" ] }, { "id": "task835-e1480badc99844d287d4d225f3a6be39", "input": "Calculate prob of sequence rwp when three letters picked without replacement from ntrprtrprrtnrtwrptt.", "output": [ "7/1938" ] }, { "id": "task835-1c46054ab0da405287d942c087d40342", "input": "Let l = 5 + -9. Let x = 7 + l. Solve -x*d - 4*w - 17 = 0, 15 = -3*d - 3*w - 0*w for d.", "output": [ "-3" ] }, { "id": "task835-023edf85b092457fbbabc9b0c5d48fac", "input": "Suppose -44 = -2*q + 2*o - 0*o, 38 = 2*q - 4*o. Suppose -m + 37 = 2*h, -q = -4*m - m. Solve -6*f = -2*f - h for f.", "output": [ "4" ] }, { "id": "task835-edaa19d3ea474139b4f84d4f4dcd5436", "input": "Three letters picked without replacement from hhoohhhhohhhooooooh. What is prob of sequence ooh?", "output": [ "40/323" ] }, { "id": "task835-d8969e8205544a429efd86539003c458", "input": "Let k(y) = 31*y - 35. What is the tens digit of k(4)?", "output": [ "8" ] }, { "id": "task835-06f0beb932b54e42a1fc2f4c1819750f", "input": "Calculate 210 divided by 5.", "output": [ "42" ] }, { "id": "task835-5e7f283c83ed4af8bc3d95249c42aa0b", "input": "Convert 850532.7g to milligrams.", "output": [ "850532700" ] }, { "id": "task835-7b68c7add4494a85be098c1852b98b76", "input": "What comes next: 50, 19, -24, -85, -170, -285, -436, -629?", "output": [ "-870" ] }, { "id": "task835-27d09f8f7050405db3eb29f2deb99de3", "input": "What is -964 take away 28?", "output": [ "-992" ] }, { "id": "task835-454ec6ac25f143ccaa552e15f7991a0f", "input": "Let c be (5 + -4)/((-1)/3). What is the tens digit of c - (-6)/3 - -13?", "output": [ "1" ] }, { "id": "task835-88414dfd1cf94ea1938020f45b337793", "input": "Solve -d + 2*s + 14 = d, 4*d + 8 = -5*s for d.", "output": [ "3" ] }, { "id": "task835-cffecfeed2594f7d8810c1cf39efb3f0", "input": "((-164)/(-14) - 5) + 2/7", "output": [ "7" ] }, { "id": "task835-4ae5d037f188499f982577b55c541f6a", "input": "What is 8322 to the power of 1/7, to the nearest integer?", "output": [ "4" ] }, { "id": "task835-c31f9545abbe4dd9b6e9af94d4f89196", "input": "What is next in -154, -156, -160, -166?", "output": [ "-174" ] }, { "id": "task835-870fd81861f241cf90ef43263be63c2b", "input": "What is the next term in 26, 38, 24, -28, -130, -294, -532?", "output": [ "-856" ] }, { "id": "task835-fde99d65b28d418eaf5c057b7419aa2b", "input": "How many years are there in 5/4 of a millennium?", "output": [ "1250" ] }, { "id": "task835-ce33f599573c48faa6ae8e9b908d0da2", "input": "Let s be 3/(-3) - (-513296)/26. Let a = s + -19753. Let n = 3955/234 + a. Calculate the common denominator of -13/18 and n.", "output": [ "18" ] }, { "id": "task835-cf90fc3156444013beef7e29554e10cd", "input": "How many centuries are there in 8021.74 decades?", "output": [ "802.174" ] }, { "id": "task835-218d85fafc37459a8da9d9b1bd8f3709", "input": "What is next in 115, 190, 265?", "output": [ "340" ] }, { "id": "task835-3dd33e8993c447398bd5397176d3446e", "input": "Convert 32474.65 millimeters to micrometers.", "output": [ "32474650" ] }, { "id": "task835-ff1e59acb6dc4fe3bd5510faef5d2797", "input": "Suppose 6 = -3*f + 18. Solve 0 = 4*b + 3 - 7, -3*q - f*b = 5 for q.", "output": [ "-3" ] }, { "id": "task835-75961e91a7284adeba027d84212cd1b4", "input": "Three letters picked without replacement from bbrtbrububtbjutbu. Give prob of sequence tbr.", "output": [ "7/680" ] }, { "id": "task835-32571bd756014445ba34ec0eaf04ad07", "input": "What is -116938 minus -0.2?", "output": [ "-116937.8" ] }, { "id": "task835-be485968498a44cb819c9965ddc8b2ce", "input": "How many months are there in three tenths of a decade?", "output": [ "36" ] }, { "id": "task835-56ca732a43f6461dac84eae0755462f2", "input": "Let n(a) be the third derivative of -a**4/24 + a**3/2 + 2*a**2. What is the least common multiple of 1 and n(-5)?", "output": [ "8" ] }, { "id": "task835-e6527436be4347af949e5d8b9eac014b", "input": "Suppose -c + 4*v + 2 = -24, -4*c - 3*v + 9 = 0. Solve 2*b - c = -b for b.", "output": [ "2" ] }, { "id": "task835-31c084aa6c734d2db14c5abfce631dbe", "input": "Convert 954.8477 litres to millilitres.", "output": [ "954847.7" ] }, { "id": "task835-7254662250e7475ea1f55a5d3760b498", "input": "Solve -4*d - 14 + 6 = 0 for d.", "output": [ "-2" ] }, { "id": "task835-9d649ff29cea438a8dc28e7d60e93552", "input": "Two letters picked without replacement from {q: 1, d: 6, k: 4, m: 6}. Give prob of sequence dm.", "output": [ "9/68" ] }, { "id": "task835-e4939089d8f445458ac8e14a91caaafa", "input": "Let u(q) = -q + 6. Let w be u(7). Let z(v) = v + 7. Let p be z(-5). What is the units digit of w + 17 + (-1 - p)?", "output": [ "3" ] }, { "id": "task835-3b427b4ab7b84e7c9b00099c200d1366", "input": "Suppose 2*h - 2*n - 4 = -6, -3*n = -2*h - 5. Solve -5*b - 8 = -h*i, 3*b - 6*i + i = -20 for b.", "output": [ "0" ] }, { "id": "task835-85f06f65dbd745ed85d3fae2eb0912c6", "input": "Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, o: 2, t: 2, w: 1, d: 1, m: 4}.", "output": [ "2/21" ] }, { "id": "task835-9843c26d6b894c58a8a776bf91de495f", "input": "Let w(j) = -j**3 + 5*j**2 + 9*j - 8. Let u be w(6). Let c = u + -6. Let d be (-1)/(1 + (-6)/c). Solve k = -2*f + 9, -f + d = k + 2*k for k.", "output": [ "-1" ] }, { "id": "task835-5feb2fac01184af0827cc64a3ae82ac4", "input": "In base 5, what is 23000 - 1?", "output": [ "22444" ] }, { "id": "task835-5dc8e3dfe1ce41bcb396376d1a19a6c3", "input": "Let q(m) = m**2 - 9*m + 2. Let g be q(9). Suppose -g*s + 4*s = 0. Let y(u) = -u**2 - u + 17. What is the remainder when 50 is divided by y(s)?", "output": [ "16" ] }, { "id": "task835-d9e1e897bfe44ed5afeb5b765a4dc8c4", "input": "Solve 46*o = 52*o + 42 for o.", "output": [ "-7" ] }, { "id": "task835-6129f2aa1f3040689157f462c784073f", "input": "Suppose 7*m = 3 + 18. Solve m*y + 3 = g + 2*y, -4*y = 0 for g.", "output": [ "3" ] }, { "id": "task835-1c516641ccef4f489ad74c9ac011034c", "input": "Suppose -2*z = 2*z - 12. Suppose 2*l - z = 1. Solve 4*n + l*b = -3*b + 12, 0 = -3*n + 3*b + 9 for n.", "output": [ "3" ] }, { "id": "task835-cb12ef7cb2c8470e86082dedd0360c56", "input": "What is 2397 to the power of 1/2, to the nearest integer?", "output": [ "49" ] }, { "id": "task835-d9684d822d614c0a9c2b7584c8c2c6f9", "input": "What is the next term in -81, -102, -109, -96, -57, 14, 123, 276?", "output": [ "479" ] }, { "id": "task835-f8974b74e4af4d1789957bebc3561547", "input": "What is (-4)/1*10/280?", "output": [ "-1/7" ] }, { "id": "task835-b3a1da13b234455db88b3c5f6bbe4c4c", "input": "What is prob of picking 2 p and 1 k when three letters picked without replacement from {e: 4, p: 2, b: 3, k: 8, s: 2, g: 1}?", "output": [ "2/285" ] }, { "id": "task835-9fdb0b2a486940828c5697cabf565347", "input": "Suppose i = w - 15 + 48, -100 = -4*i - 4*w. Let f = -3 + -4. Let k be (-9 - -1)/(5 + f). Solve -4*h - k*v = v - i, 0 = -5*h + 4*v - 15 for h.", "output": [ "1" ] }, { "id": "task835-f68c20f1fd9044b7ab6ca595ab133ec3", "input": "What is the next term in -3111, -6225, -9339, -12453?", "output": [ "-15567" ] }, { "id": "task835-6ce2b730d0164b4d92cba1dc5d9a4834", "input": "Let o = 1 + 4. Let i = o - 3. Solve -2*x + 2 = -3*x - 5*z, x + i = -2*z for x.", "output": [ "-2" ] }, { "id": "task835-982825940e464cfa8c354c9216626d42", "input": "Let p = -634736 - -452467. Let i be p/10830 - (-3 + 5). Let o = i + -6/1805. Find the common denominator of o and 9/14.", "output": [ "42" ] }, { "id": "task835-c2e483b378a84e53a4b1a1621d0b6152", "input": "Two letters picked without replacement from ppmipmgmqmgpzmm. What is prob of sequence qi?", "output": [ "1/210" ] }, { "id": "task835-43ab89b767b440af982d5f4156f0e0ee", "input": "What is 4/7 of a week in days?", "output": [ "4" ] }, { "id": "task835-acf5fa24c6bf480ab371430b46c91f0c", "input": "Let u(w) be the first derivative of -w**2/2 + 9*w - 1. What is the lowest common multiple of u(8) and 6?", "output": [ "6" ] }, { "id": "task835-72d73054b38348d9ad479d7710785d45", "input": "What is next in 152, 165, 182, 203?", "output": [ "228" ] }, { "id": "task835-951304bc9b6d4d81826ae349d774d835", "input": "Suppose p + 5*c = 491, -3*c + 4*c = p - 521. Suppose 169 = 5*t - p. What is the remainder when t is divided by 35?", "output": [ "32" ] }, { "id": "task835-e681abb9ff664242b053a7f569aa42ce", "input": "What is 37/5 of a litre in millilitres?", "output": [ "7400" ] }, { "id": "task835-ae0d4117fb3e4d6f97fa40939f894940", "input": "In base 14, what is 70 - 5?", "output": [ "69" ] }, { "id": "task835-a71b4e2755584069b9f2363ceb1d7c8d", "input": "Let s(j) = j**2 - j - 3. Let y(r) = 4*r - 8. Let n(v) = -3*v + 9. Let g(x) = 5*n(x) + 4*y(x). What is the lowest common multiple of g(-6) and s(4)?", "output": [ "63" ] }, { "id": "task835-fb27b2a2cbd045779ed629f13141fed5", "input": "Solve -11*j + 14 - 47 = 0 for j.", "output": [ "-3" ] }, { "id": "task835-d00e5da7518d47b78385b58e927dec26", "input": "Calculate 91*-0.08.", "output": [ "-7.28" ] }, { "id": "task835-4b48ee10e76e40f9b29c733ff295924a", "input": "Three letters picked without replacement from xexwxwueweweewu. Give prob of picking 1 w and 2 u.", "output": [ "1/91" ] }, { "id": "task835-43dfb0f7056645b5acfcfa2e1f0c5a80", "input": "Three letters picked without replacement from {i: 2, a: 1, x: 2, w: 1}. Give prob of picking 2 x and 1 i.", "output": [ "1/10" ] }, { "id": "task835-663bc3cc4d62422abaa9e4bb1ed5229d", "input": "Let x(i) = 4 + 0 + 8*i + 0*i. What is the remainder when 58 is divided by x(2)?", "output": [ "18" ] }, { "id": "task835-c3840cfcc6fa4885a9da8326b9938377", "input": "Let f = 15 - 13. Solve 8 = f*i - 4*l - 6, -5*i = l - 24 for i.", "output": [ "5" ] }, { "id": "task835-8749e5f5432942fa9d42feca80884ccd", "input": "What is prob of sequence wm when two letters picked without replacement from mmwmmmw?", "output": [ "5/21" ] }, { "id": "task835-f8da46b1da2c41c6a05e9d0ea1364641", "input": "Convert 0.5132249ug to nanograms.", "output": [ "513.2249" ] }, { "id": "task835-dd65172a3a314bd483810c709461c232", "input": "What is -5 + 3 - (-4 - -4)?", "output": [ "-2" ] }, { "id": "task835-0b5fb46b9118478ab69b2b2630fcfc0d", "input": "Suppose 0 = -5*w - 3*y + 1878, -3*w + y = 2*y - 1130. Suppose 83 = a - 142. Let n = w - a. What is the highest common factor of n and 17?", "output": [ "17" ] }, { "id": "task835-7b4026f5cca340f1aa48381ae7cc2870", "input": "Suppose 3 = -t + 4*t. Let g(h) = h**2 + 7*h + 1. Let x be g(-7). Calculate the remainder when 3 + x/(2 + -3) is divided by t.", "output": [ "0" ] }, { "id": "task835-8c342436a85f4dd98656f2b193be677b", "input": "Let u = 79/5 + -87/5. Suppose -6*c - 128 = -2*c - 2*y, -12 = -3*y. What is the common denominator of u and 6/2 + (-252)/c?", "output": [ "5" ] }, { "id": "task835-0ceb2a3683f64023808dfd23718d4e02", "input": "Convert 135314.9 millilitres to litres.", "output": [ "135.3149" ] }, { "id": "task835-b81fa1659f3e4be1b56c4e46f0aa9158", "input": "Four letters picked without replacement from {y: 4, k: 6, l: 1, s: 2, v: 2}. What is prob of picking 1 y, 1 l, 1 v, and 1 k?", "output": [ "16/455" ] }, { "id": "task835-b2af07fd680a432da41e3cdb43dff158", "input": "Evaluate 15/(-18)*24/(-30).", "output": [ "2/3" ] }, { "id": "task835-de0ec7daee284bf38bde9a65dbf66d45", "input": "Calculate prob of picking 1 j and 1 i when two letters picked without replacement from joojioooojjoioj.", "output": [ "2/21" ] }, { "id": "task835-1fbc20d49edc40cbbccdd11e32003fd3", "input": "Solve 5*c + 3*c - 3*c = 0 for c.", "output": [ "0" ] }, { "id": "task835-6c9dc7d8bd004e58888ff2e8e0d8fe3e", "input": "Suppose -36*s = -33*s - 210. What is the tens digit of s?", "output": [ "7" ] }, { "id": "task835-8cc2a3f6889a4dd7a7ca3f7e7ad3723d", "input": "Calculate prob of picking 1 y and 2 v when three letters picked without replacement from {v: 11, y: 3}.", "output": [ "165/364" ] }, { "id": "task835-60aefe872202472e87226ec521c7e4a8", "input": "What is prob of picking 1 p and 1 y when two letters picked without replacement from pypyyyypypyyypyypyy?", "output": [ "26/57" ] }, { "id": "task835-ab5e3141ad124b859d3cfb7b713a399f", "input": "What is 42358.66 kilometers in micrometers?", "output": [ "42358660000000" ] }, { "id": "task835-263142e5bc9b4b8297f6610db8a76661", "input": "Suppose p - 19 = -0*p. Let q = p - 11. What is the units digit of q?", "output": [ "8" ] }, { "id": "task835-594cdf5d9478457c85c54f0098919642", "input": "What is 25/2 of a litre in millilitres?", "output": [ "12500" ] }, { "id": "task835-db45e8604074455d9cb9d996f8127573", "input": "Three letters picked without replacement from {i: 3, j: 3}. Give prob of picking 1 i and 2 j.", "output": [ "9/20" ] }, { "id": "task835-42ce6e906a37489c8b12dbcf44f1456f", "input": "Let d = -50 + 116. What is the remainder when d is divided by 27?", "output": [ "12" ] }, { "id": "task835-655ec5bc500e4573806be159b7a71187", "input": "What is 5/8 of a millennium in months?", "output": [ "7500" ] }, { "id": "task835-760677d177554a2183bd63d80f3f1750", "input": "Solve 5*q + 2 = 4*q for q.", "output": [ "-2" ] }, { "id": "task835-6f222fa9ef274339acae9f174d420102", "input": "Calculate 2701 divided by 2.", "output": [ "2701/2" ] }, { "id": "task835-0d1c3ce9bda0406ca9aa1422135fe38d", "input": "Calculate (-3)/6*10/15.", "output": [ "-1/3" ] }, { "id": "task835-20fd82aa2ee44d3f95c4dabb44298ee2", "input": "What is -4 times 4821?", "output": [ "-19284" ] }, { "id": "task835-0c18994a825e4b2895a9effa7fa9eeba", "input": "Suppose 0 = -3*i - i - 4. Let n(q) = -9*q**2 - q - 1. Let u be n(i). What is the lowest common multiple of 8 and (-6)/u*(33 + 0)?", "output": [ "88" ] }, { "id": "task835-8e280b417423459ca67ff02892e149f9", "input": "Suppose 0 = 5*a + 3*q - 104, 0 = 5*a - 0*q - 3*q - 116. Suppose 0 = -b - 3*b + 5*n + 88, b - 3*n - a = 0. Suppose b = -0*f + 2*f. What is the tens digit of f?", "output": [ "1" ] }, { "id": "task835-af46a2ecc6984dc782facebd9c8d768a", "input": "What is seventy-five eighths of a litre in millilitres?", "output": [ "9375" ] }, { "id": "task835-96b9a4ac965e4ffba9710fa3f7d97733", "input": "What is -3 divided by -105?", "output": [ "1/35" ] }, { "id": "task835-be8ed8278da84215b347cbf039580e4c", "input": "What is prob of sequence bpw when three letters picked without replacement from pnbjw?", "output": [ "1/60" ] }, { "id": "task835-041d73f6884b4f17b1c176da713fd066", "input": "Four letters picked without replacement from {e: 7, c: 1, w: 3, y: 3}. Give prob of picking 2 e and 2 y.", "output": [ "9/143" ] }, { "id": "task835-f54c0835efc649f9b3d8d22090d112bb", "input": "Let u be (285/38)/(1/4). Suppose d = 5*x - 3, 0*d = -4*d - 5*x + 13. Solve 0 = 4*n - 3*f - 13 - 18, -5*n + d*f + u = 0 for n.", "output": [ "4" ] }, { "id": "task835-d6b36accd41842fe8ec07984682100e4", "input": "What is fifty-one halves of a meter in centimeters?", "output": [ "2550" ] }, { "id": "task835-c148ce8afecb43e3a3f6dfae9c1fecda", "input": "What is the product of -4 and -42?", "output": [ "168" ] }, { "id": "task835-5c629b8f4f114827aceea31dd6aa41a9", "input": "What is 17/4 of a kilometer in meters?", "output": [ "4250" ] }, { "id": "task835-1274d7dffc6e4efb8ecb5d9c48f73865", "input": "Work out 25.4 + -0.4.", "output": [ "25" ] }, { "id": "task835-df1d88a71c49423580b61ee56d4f0390", "input": "Let q(n) = -n**3 + 4*n**2 + 5*n + 5. Let y be q(5). Suppose 0*i = i + 1, -4*i + 11 = -y*t. What is the units digit of (6/(-9))/(2/t)?", "output": [ "1" ] }, { "id": "task835-cade7465c9f5466a87cb2ee426de6c01", "input": "What is prob of picking 1 g, 1 v, and 1 a when three letters picked without replacement from kggvaakav?", "output": [ "1/7" ] }, { "id": "task835-dc57e3897dde4d2b9d58c8f80af9e787", "input": "Suppose 2*t + 5*u - 3 = -2*t, 0 = -t - 5*u + 12. Let d = t - -4. What is the greatest common factor of 3 and d?", "output": [ "1" ] }, { "id": "task835-ce6263ecd01d40febb16385f3220ec50", "input": "Solve 3*b + 7 = 4*k + 3, 2*k = 5*b + 16 for b.", "output": [ "-4" ] }, { "id": "task835-780e19b71737489aa9c081e2478d3a8e", "input": "Four letters picked without replacement from iiifmtmmsitmfmffm. What is prob of sequence ffmf?", "output": [ "3/1190" ] }, { "id": "task835-1bf2139f07414e16a46bb73c0c0fa8d0", "input": "Suppose 6*x - 13 - 5 = 0. Solve z = 5*b + 3*z - 23, x*z + 3 = 5*b for b.", "output": [ "3" ] }, { "id": "task835-ef19afdbc2004a41882e9037a9f3d27e", "input": "How many months are there in 1/4 of a century?", "output": [ "300" ] }, { "id": "task835-a970ea7c3cc94b088e4acec1826c6887", "input": "What is (-3)/3*1*27/(-3)?", "output": [ "9" ] }, { "id": "task835-226ed5be25ed462c9fd632e50b3f207a", "input": "What is 6/5 of a microgram in nanograms?", "output": [ "1200" ] }, { "id": "task835-3bedbe2105b246438705500ebf508f56", "input": "What is -1 + -2 + 2 + 1?", "output": [ "0" ] }, { "id": "task835-abddbdd62be24f7ca07ba1198b5eb2d7", "input": "Suppose -4*n + 10 = -162. Suppose 2*v - n = -3*u, 4*v - 105 = -2*u - 15. What is the remainder when v is divided by (-6)/(-2) - -8 - -1?", "output": [ "11" ] }, { "id": "task835-df681bdb03324fd1b489f0826cea7ff6", "input": "Evaluate (-1 - -3) + (14 - 12) + 1.", "output": [ "5" ] }, { "id": "task835-96a1aef9ab3a4ce59bd3280059041c7c", "input": "Calculate 2 + 2 - (-16 - -16).", "output": [ "4" ] }, { "id": "task835-a7be2fb28521437cb005639e0b462fa7", "input": "What is 5.900166 microseconds in hours?", "output": [ "0.000000001638935" ] }, { "id": "task835-8621b77d670c4e80ba802bfacb53b30c", "input": "Let x(a) = a + 13. Let d be x(-9). Suppose 2*w + 114 = 3*g + d*w, -3*g = -5*w - 93. What is the tens digit of g?", "output": [ "3" ] }, { "id": "task835-371af42cbb8242de8f5fbbee0e7f839c", "input": "Convert 875.795 weeks to hours.", "output": [ "147133.56" ] }, { "id": "task835-e2178ab71d3f4d51a1707d07617ec17a", "input": "What is prob of picking 3 b when three letters picked without replacement from {c: 3, b: 3, v: 5, u: 6, j: 1}?", "output": [ "1/816" ] }, { "id": "task835-c4c51117fd7345de8955092ccc5208c0", "input": "Solve 0 = j - 2*r + 16 - 8, 0 = 2*j + 2*r + 4 for j.", "output": [ "-4" ] }, { "id": "task835-68d3db29f7da4028880d2dea19d8c478", "input": "Let p(w) = -w**3 + 4*w**2 - 3. Let k be p(3). Let z be 1/(k/56)*12. Find the common denominator of (-214)/z - 4/(-14) and -139/6.", "output": [ "24" ] }, { "id": "task835-8e20b8e5aec24d31970475ea75f541d7", "input": "What is (-2)/3*69/253?", "output": [ "-2/11" ] }, { "id": "task835-50890ccc37d847db9c41a2bd9100de96", "input": "Solve -2*r + 19 = 3*p, 74*r = 3*p + 77*r - 24 for p.", "output": [ "3" ] }, { "id": "task835-7506f2c1e85041489ae2e327c3ff9a9a", "input": "Four letters picked without replacement from apwccucpwppwcpmapm. What is prob of picking 2 c, 1 p, and 1 a?", "output": [ "2/85" ] }, { "id": "task835-9dd1b59bba0a4820a976088ba50e1462", "input": "Let f(k) = -k**3 - 8*k**2 - 4*k. Let p be f(-9). Let d = p + 15. Suppose -z - 2 = -14. Calculate the greatest common divisor of d and z.", "output": [ "12" ] }, { "id": "task835-c164adcd195a499baaef62b4b63ccff0", "input": "Calculate (((-558)/72)/(-31))/((-2)/(-4)).", "output": [ "1/2" ] }, { "id": "task835-7f7f1a20c7fa45d2b3191deec749a4e1", "input": "Evaluate (-16)/(-5) - 4/1.", "output": [ "-4/5" ] }, { "id": "task835-e9aaa4feaebe4719a1682e1c0c687638", "input": "Four letters picked without replacement from zaaaaaaaaaz. Give prob of picking 4 a.", "output": [ "21/55" ] }, { "id": "task835-c85890f11142414f8812e10cedeeba1e", "input": "Two letters picked without replacement from {m: 3, i: 1, k: 2, f: 1, s: 3, u: 1}. Give prob of picking 1 s and 1 k.", "output": [ "6/55" ] }, { "id": "task835-202b04aa923f432092abbd0cb7e97075", "input": "How many years are there in 43/4 of a century?", "output": [ "1075" ] }, { "id": "task835-dc60804fb5484fb2834a637984ec7867", "input": "Evaluate (3 - 2) + -3 + -2.", "output": [ "-4" ] }, { "id": "task835-607dabd9a89d41af95d93ccb405016bc", "input": "((225/5)/(-9))/(-10)", "output": [ "1/2" ] }, { "id": "task835-04a0ed5c2d3145ffba7c39407b3614be", "input": "What is the fifth root of 986 to the nearest integer?", "output": [ "4" ] }, { "id": "task835-69ece41896344acb9179bd0268003b2e", "input": "Work out 1072 * -0.04.", "output": [ "-42.88" ] }, { "id": "task835-f9ef1f7c88b34e7baa0d32c0670cbf6e", "input": "Solve -2 + 48 = -23*w for w.", "output": [ "-2" ] }, { "id": "task835-6cccaaf5e8c8430e97b29b260473d864", "input": "Convert 483.935ms to seconds.", "output": [ "0.483935" ] }, { "id": "task835-9526b65da2f647fabcbbd7674f2c5443", "input": "How many weeks are there in 1520.477784ns?", "output": [ "0.0000000000025140175" ] }, { "id": "task835-b1aec5659ecc4c7caf6eedc2806028c0", "input": "Let z = -2631/28 + 768/7. Let y = -4435/712 + -13/89. What is the common denominator of z and y?", "output": [ "8" ] }, { "id": "task835-dc805ee094274b4eb1d03c4a34986d0d", "input": "What is the square root of 577 to the nearest integer?", "output": [ "24" ] }, { "id": "task835-bbd1597da6614208a84158d5084cd7d5", "input": "Calculate prob of picking 2 t and 1 h when three letters picked without replacement from khktkhtk.", "output": [ "1/28" ] }, { "id": "task835-c11a2c58a29d46cfa2ce1c041fda4405", "input": "Suppose 2*w - 3*h + 5 = 2*h, -h = 4*w - 1. Suppose w = 3*j - 9, -z + 17 = 5*j + 2. Suppose -3*n + 62 - 23 = z. What is the greatest common divisor of n and 117?", "output": [ "13" ] }, { "id": "task835-941635da8c404956b3038746e49bb9d2", "input": "Let k = 384 + -3490/9. Calculate the common denominator of -14/3 and k.", "output": [ "9" ] }, { "id": "task835-77d1afb2fc1143579283d300f7517afa", "input": "Evaluate (-4)/(24/30*5).", "output": [ "-1" ] }, { "id": "task835-4b38838aaf65467cbd83980cf3d80d7f", "input": "How many nanometers are there in 53/5 of a micrometer?", "output": [ "10600" ] }, { "id": "task835-11dbcfeb3dd644c5bbedde31535e038e", "input": "Let f(u) = -6*u - 19. Calculate the remainder when 44 is divided by f(-7).", "output": [ "21" ] }, { "id": "task835-00215c3db1a1447b9a3dbb6db28b39d8", "input": "Convert 4.754196m to kilometers.", "output": [ "0.004754196" ] }, { "id": "task835-297b96d6e8bb49b6a8360ab0160dda83", "input": "Two letters picked without replacement from {m: 9, g: 2, f: 1, u: 1, l: 6, c: 1}. Give prob of picking 1 g and 1 m.", "output": [ "9/95" ] }, { "id": "task835-6d04a09483614829bd94533f771344fa", "input": "Solve 57 = -15*y - 4*y for y.", "output": [ "-3" ] }, { "id": "task835-544c5cab66b942ae81185c21cce55641", "input": "What is next in -180, -373, -592, -849, -1156, -1525?", "output": [ "-1968" ] }, { "id": "task835-34f573c360dd4b28b73b76e2939d7487", "input": "Four letters picked without replacement from rsisririrsshs. What is prob of sequence iirr?", "output": [ "3/715" ] }, { "id": "task835-0bf19129a82141899200f7c381c32e5b", "input": "Solve 8*m - 9 = -m for m.", "output": [ "1" ] }, { "id": "task835-4fd6957929c94d07a3200334408ff21b", "input": "Evaluate (-14)/(-6)*(-12)/126.", "output": [ "-2/9" ] }, { "id": "task835-265a77b8ef3f430388146c21e6491c46", "input": "Suppose -7*a = 5*f - 2*a - 950, -f - 2*a = -185. What is the highest common divisor of 39 and f?", "output": [ "39" ] }, { "id": "task835-1edb68bb5a044650bfa452d218445f3e", "input": "Suppose 0 = -6*g + 26 + 136. What is the units digit of g?", "output": [ "7" ] }, { "id": "task835-4188bf9e18f6481094cf50f5ee670473", "input": "Let r(a) = -a**2 - a. Let t be r(4). Let g = 8 - t. What is the tens digit of g?", "output": [ "2" ] }, { "id": "task835-1ece05af04a542289f2beba556e50286", "input": "Solve -p + 7 = a, -3*p = 13*a - 11*a - 19 for p.", "output": [ "5" ] }, { "id": "task835-a612cb7859d0412fb895dc49f4060cd0", "input": "Let u be 6 - (3/(-1) + 1). Solve -5*p - 5*x = -2*p - 25, 0 = 4*x - u for p.", "output": [ "5" ] }, { "id": "task835-e38d8b16d0ef44cd888df62faa580a87", "input": "How many minutes are there in 7295.103 nanoseconds?", "output": [ "0.00000012158505" ] }, { "id": "task835-7ecc91de1cfc489494feefed45a13ad3", "input": "Solve 9*d = 4*d - t - 7, 7 = d + 3*t for d.", "output": [ "-2" ] }, { "id": "task835-6b1c62ed8fe24fab8b27ef114b7e7739", "input": "Convert 279817.2 months to centuries.", "output": [ "233.181" ] }, { "id": "task835-52b1d39d95fa41b5af139c1cb614126e", "input": "Suppose 21 = 3*r + 5*h - 10, 0 = -5*r + 2*h. Solve 5*f + 2*b = -33, 1 + r = -3*f + 3*b for f.", "output": [ "-5" ] }, { "id": "task835-2ac76c9cc07444ddb896b7dbd528405e", "input": "How many millilitres are there in 50619.63 litres?", "output": [ "50619630" ] }, { "id": "task835-313567e3e2a646b084187e622c61c778", "input": "Solve -22 = 6*c - 4 for c.", "output": [ "-3" ] }, { "id": "task835-79a17b010c4d4095b4faab38572185e1", "input": "What is prob of sequence gw when two letters picked without replacement from rrrrwggrwprg?", "output": [ "1/22" ] }, { "id": "task835-d7e00cb90fc8400bb9993cf0434b2513", "input": "Let s = -116 - -120. What is the least common multiple of 78 and s?", "output": [ "156" ] }, { "id": "task835-6ca074c2207742a3818a13af0e2bc418", "input": "Suppose -29 - 14 = -5*o - f, 51 = 5*o - 3*f. What is the remainder when o is divided by 6?", "output": [ "3" ] }, { "id": "task835-1a908c277247456e9207b420888f8215", "input": "Let c = 66 + -39. What is the remainder when 79 is divided by c?", "output": [ "25" ] }, { "id": "task835-e342dedc225346e4ae193245317b7301", "input": "How many meters are there in 11/10 of a kilometer?", "output": [ "1100" ] }, { "id": "task835-756ebd4d12694ca8aa1220dcd9e054d2", "input": "Solve -168 = -54*g + 48 for g.", "output": [ "4" ] }, { "id": "task835-ff2d5e9743f64b9c835dc5769be468ac", "input": "In base 4, what is 22 - -22?", "output": [ "110" ] }, { "id": "task835-77fd7644a0e443c592bc9fc3eb8a54d1", "input": "What is 32486.94 hours in milliseconds?", "output": [ "116952984000" ] }, { "id": "task835-e499a48e974f4fdb9ab9096a1c0bad79", "input": "Suppose 9*v + 5*v = 140. Solve 0*a + v = -2*a for a.", "output": [ "-5" ] }, { "id": "task835-d00cf897651840c5a688f102a0a6827b", "input": "Solve 0 = 4*r + 4*i + 12, 2*r = 3*r + 5*i + 23 for r.", "output": [ "2" ] }, { "id": "task835-60509175a9aa4797b52a99750d001d57", "input": "Solve -8 = 4*p - 2*s, 5*p + s - 26 = -s for p.", "output": [ "2" ] }, { "id": "task835-a3a2d6bd9e414b6ea8faf6a7075453f8", "input": "Solve -38*s = -53*s - 90 for s.", "output": [ "-6" ] }, { "id": "task835-b41482d678d44929908d59ed5cee50b2", "input": "What is prob of picking 2 q and 2 x when four letters picked without replacement from qqxqeqqqqqxeqq?", "output": [ "45/1001" ] }, { "id": "task835-63c3c5a511e1477c9bbff8b288fd34a4", "input": "Three letters picked without replacement from {f: 10, s: 4}. Give prob of picking 3 f.", "output": [ "30/91" ] }, { "id": "task835-6674c9da43df4685a6dc7a3178127216", "input": "Let z(m) = -3*m**3 + m**2 + 4*m + 3. Let v be z(-1). Calculate the highest common factor of 21 and v.", "output": [ "3" ] }, { "id": "task835-c50b1a1b3aa44815b3e030f8849b2b6d", "input": "What is 939 to the power of 1/9, to the nearest integer?", "output": [ "2" ] }, { "id": "task835-ae18306fad2f485d860aa7fa0238c433", "input": "Four letters picked without replacement from {x: 6, d: 2}. What is prob of sequence xdxx?", "output": [ "1/7" ] }, { "id": "task835-b537eccc3194443a8d9988dcecb11b66", "input": "Let z = 17 - -2. What is the tens digit of z?", "output": [ "1" ] }, { "id": "task835-53a5cbc9fd514b2d81a55a26a35b6315", "input": "What is prob of picking 2 r when two letters picked without replacement from {r: 7}?", "output": [ "1" ] }, { "id": "task835-6d61c1cda35e4c06b322939b1ebafc30", "input": "Let a = -31 - -39. Calculate the highest common factor of 56 and a.", "output": [ "8" ] }, { "id": "task835-6c59807a74a747a4885a9c2b1213b8a9", "input": "What is prob of sequence kd when two letters picked without replacement from {f: 1, d: 1, m: 4, a: 1, k: 1}?", "output": [ "1/56" ] }, { "id": "task835-6da67dfb9a524ad7835f66b508682129", "input": "What is eleven eighths of a kilometer in meters?", "output": [ "1375" ] }, { "id": "task835-769ac22c787b4e0e97fb1b1c0208096c", "input": "What is 2896 to the power of 1/8, to the nearest integer?", "output": [ "3" ] }, { "id": "task835-de946ab9f9564c1d9f791f031877fb77", "input": "Three letters picked without replacement from {x: 1, u: 2, d: 7, v: 1, t: 3}. Give prob of sequence udv.", "output": [ "1/156" ] }, { "id": "task835-bada9d8579314069b9e62aa2d6501665", "input": "Suppose -3*w + 30 = 2*i, 4*i - 7*i = 0. Solve 2*o + 7*a + w = 4*a, -5*o - 14 = 2*a for o.", "output": [ "-2" ] }, { "id": "task835-f3566c0a260941559ad98777c3cb06c1", "input": "How many millilitres are there in 31/2 of a litre?", "output": [ "15500" ] }, { "id": "task835-59fbb28289f048bab42bfc9b3c4b0de2", "input": "How many minutes are there in 4/15 of a hour?", "output": [ "16" ] }, { "id": "task835-0bdc5d0172544e7ab09fb06dc7ffbdc1", "input": "In base 16, what is a7 + -60?", "output": [ "47" ] }, { "id": "task835-ee52e70ce9b14198876f635095d0579e", "input": "Convert 0.9559904cm to kilometers.", "output": [ "0.000009559904" ] }, { "id": "task835-5f8bc55382394c999eb0fca13050e24d", "input": "Let n(x) = -x**3 + 5*x**2 + 6*x + 8. Let h be n(6). Let r = h - -46. Suppose -4*b - 2 - 2 = 0, 3*b - r = -3*i. Calculate the remainder when i is divided by 7.", "output": [ "5" ] }, { "id": "task835-c7cfc58a19254ffd8715c6d0351badad", "input": "-5 times 0.058", "output": [ "-0.29" ] }, { "id": "task835-67f885b70ad14a6ca0c48fdb33bc906f", "input": "How many milligrams are there in 813709.6 grams?", "output": [ "813709600" ] }, { "id": "task835-b40a060e1c934aa9a2962e9f12f3e1c0", "input": "Solve 47*p - 20*p - 108 = 0 for p.", "output": [ "4" ] }, { "id": "task835-93bfd6be5b224ef1bd9587519d832b56", "input": "What is the next term in -347, -699, -1051, -1403?", "output": [ "-1755" ] }, { "id": "task835-8824a6b3e0de47a99199ebcc2b85aae5", "input": "0.0249 * -0.03", "output": [ "-0.000747" ] }, { "id": "task835-1e3596e478634c0286ad1bec154a8061", "input": "In base 15, what is 5 + -363?", "output": [ "-35d" ] }, { "id": "task835-8adaa7c25ce847b6a832c82fdae9f34c", "input": "Let r(y) be the second derivative of y**4 - y**3/6 - y**2/2 + 3*y. What is the remainder when 35 is divided by r(-1)?", "output": [ "11" ] }, { "id": "task835-1bd5329ae8aa4cac9ab75c57ac8ac8a6", "input": "What is 1276 times 0.3?", "output": [ "382.8" ] }, { "id": "task835-00485d76528d4f4c9bd055fdd9f1b200", "input": "Two letters picked without replacement from lllppplllllpllllllll. What is prob of picking 2 l?", "output": [ "12/19" ] }, { "id": "task835-7abe4eb3d54b4403a8f353a7d2498eca", "input": "Convert 0.0050227 centuries to months.", "output": [ "6.02724" ] }, { "id": "task835-c874e7b6379b4a649aa0b47810b80c76", "input": "Suppose 7 = 2*p - 1. Suppose -57 = -5*q + p*d + 3, 2*q - 24 = -3*d. What is the units digit of q?", "output": [ "2" ] }, { "id": "task835-eb9dcdfa89a748daa8bcc808685f1be7", "input": "What is 1462 times 0.02?", "output": [ "29.24" ] }, { "id": "task835-8bcb273c72b3403aacc77a578a21ad0e", "input": "Four letters picked without replacement from {p: 1, e: 18}. What is prob of picking 2 p and 2 e?", "output": [ "0" ] }, { "id": "task835-61af95873147432097b139565d24193d", "input": "Calculate (-3*2/3)/2.", "output": [ "-1" ] }, { "id": "task835-ab1a2a0711fa4d4b93780afd7eb49164", "input": "Let p = -3 - -7. Let n be (349 - p/(-2))*-1. Calculate the common denominator of -5 and (1/3)/(99/n).", "output": [ "11" ] }, { "id": "task835-19fddfdc0ad84ea9b10fd923c5e03d25", "input": "Calculate 11 divided by -749.", "output": [ "-11/749" ] }, { "id": "task835-dfbd9c0575e445fdb6c707d31d60743a", "input": "Four letters picked without replacement from wqwgwwdwgggqqwgdw. Give prob of sequence qgqw.", "output": [ "1/272" ] }, { "id": "task835-ebb6a0340e1441538f6d203a2c511c64", "input": "How many kilograms are there in 3/50 of a tonne?", "output": [ "60" ] }, { "id": "task835-b7adb1aac45e48e4b150ad26499d67a7", "input": "Suppose -3 = -j - 4. Let h be j + 0 + (4 - 3). What is the units digit of h - -1 - 6*-1?", "output": [ "7" ] }, { "id": "task835-1cb14aa457e24098adc6cf1c469bec27", "input": "How many seconds are there in seven thirds of a minute?", "output": [ "140" ] }, { "id": "task835-e268a1e975cc41aa888af049e4f84a75", "input": "What is prob of picking 1 e and 1 d when two letters picked without replacement from {y: 2, j: 1, b: 1, c: 1, e: 1, d: 1}?", "output": [ "1/21" ] }, { "id": "task835-46ea074441e245c8a5d500229f71e1d7", "input": "Calculate prob of picking 2 s when two letters picked without replacement from sssssszssssss.", "output": [ "11/13" ] }, { "id": "task835-2aa8d406860344de818629d6d9274942", "input": "What is 5.346329 nanograms in grams?", "output": [ "0.000000005346329" ] }, { "id": "task835-28ef93c641b94456a9584027ca149a71", "input": "What is 723.2971 meters in kilometers?", "output": [ "0.7232971" ] }, { "id": "task835-6cdaafcd4d6d4a11b0684cb176dfafc4", "input": "Convert 9676.077 decades to months.", "output": [ "1161129.24" ] }, { "id": "task835-1d68dd15b2d4420f8b42b09727f0dbfc", "input": "Four letters picked without replacement from {r: 4, u: 2}. What is prob of sequence urru?", "output": [ "1/15" ] }, { "id": "task835-9dc10a1757d642cda842138e52aabee3", "input": "What is 21/4 of a litre in millilitres?", "output": [ "5250" ] }, { "id": "task835-06d0797fd3b7409bbfd5f4379d08c824", "input": "How many minutes are there in 1/6 of a hour?", "output": [ "10" ] }, { "id": "task835-86fec60beaec488ca167a8d4e9e14ad8", "input": "How many meters are there in 13/4 of a kilometer?", "output": [ "3250" ] }, { "id": "task835-6fe7b3093b094d94a7929ce3addcfc87", "input": "What is the value of (-1 + (-9)/6)*444/(-16095)?", "output": [ "2/29" ] }, { "id": "task835-de0d648bb0484a90b71fd566a7001cc8", "input": "How many millilitres are there in 43/2 of a litre?", "output": [ "21500" ] }, { "id": "task835-768be9e979924b8793e83e9acca2a566", "input": "Calculate prob of picking 1 p and 1 a when two letters picked without replacement from {j: 7, d: 4, p: 3, l: 4, a: 1}.", "output": [ "1/57" ] }, { "id": "task835-6feb1da5f306473bbfd5fc22d5765869", "input": "In base 13, what is -31 - 63?", "output": [ "-94" ] }, { "id": "task835-1d4f5a52cdd144cd98783ed5b1fcee69", "input": "What is 6 + -1 - (7 + -2)?", "output": [ "0" ] }, { "id": "task835-b20fe7dad2c74596aa3636c4c5980570", "input": "What is 23.45932g in micrograms?", "output": [ "23459320" ] }, { "id": "task835-cfa819c1b4594a41986b090bb0c2b7f9", "input": "Solve 24 = -16*b + 40 for b.", "output": [ "1" ] }, { "id": "task835-542637ea9d5a4d5199a79443714d1882", "input": "Four letters picked without replacement from {q: 1, h: 1, u: 1, e: 1, r: 1}. Give prob of picking 2 q, 1 h, and 1 r.", "output": [ "0" ] }, { "id": "task835-a1ea6250d05444d4825211de4268ce0e", "input": "Four letters picked without replacement from {w: 2, r: 11}. What is prob of picking 1 w and 3 r?", "output": [ "6/13" ] }, { "id": "task835-402b6b53d0bf46db81bf9f5fed60f05e", "input": "Three letters picked without replacement from {y: 5, u: 5, e: 1, x: 2, l: 3}. Give prob of picking 1 y and 2 u.", "output": [ "5/56" ] }, { "id": "task835-4bf2b822cc994983a268c0dd13115229", "input": "What is 5/8 of a kilogram in grams?", "output": [ "625" ] }, { "id": "task835-c731a37b1c50453da4cebcafd7370951", "input": "What is the square root of 5621 to the nearest integer?", "output": [ "75" ] }, { "id": "task835-5c755738d0cc491abdc8ed8970f53009", "input": "Let r = 88 + -84. Suppose 5*y + 12 = h, 0*y + h - 10 = 4*y. Let o be y/4 - 44/(-8). Solve -n + 5*k - o = -0*k, 0 = -r*n - 2*k + 2 for n.", "output": [ "0" ] }, { "id": "task835-a7b208a33eb44002bf6cd26f6ea2641b", "input": "What is fourty-three quarters of a millimeter in micrometers?", "output": [ "10750" ] }, { "id": "task835-ab817827bb93459eaf35cb590e263f14", "input": "How many micrometers are there in 7/8 of a millimeter?", "output": [ "875" ] }, { "id": "task835-400a484bf11c434bbccf0ea6ee6eb919", "input": "Let z be 69/21 - 4/14. Solve 0*f + 3*f - 4 = 2*s, -z*f = 3*s - 24 for s.", "output": [ "4" ] }, { "id": "task835-f83dfa84716d40818ac6a66869c718f9", "input": "Suppose -12*h + 2496 = -0*h. What is the hundreds digit of h?", "output": [ "2" ] }, { "id": "task835-db320cd868214d7ca5fe4c7a943ee794", "input": "312 divided by -12", "output": [ "-26" ] }, { "id": "task835-e60dab4bca394c8dbe61dabf3ee29eaf", "input": "Convert 1658.72 millilitres to litres.", "output": [ "1.65872" ] }, { "id": "task835-75820016983f48feaa71c9c7b996847d", "input": "Let w be 24/(-18)*(-6)/4. Suppose -w*f + 10 = -0*f. Solve -4*r - 3*a + 11 = 0, f*r + 8*a - 14 = 4*a for r.", "output": [ "2" ] }, { "id": "task835-cbe7843be10f4ab5b6ed1c75672bb538", "input": "What is next in 140, 146, 156, 170, 188, 210, 236?", "output": [ "266" ] }, { "id": "task835-3bb135a5031f4cb88e676b7ae09d4870", "input": "What is twenty-three eighths of a kilogram in grams?", "output": [ "2875" ] }, { "id": "task835-e814afb882e9430196f49e4ce4136556", "input": "Suppose 17 = -v + 2*f + 1, 0 = 5*v - 3*f + 52. Let i be ((-12)/v + -2)*-4. What is the greatest common divisor of 4 and i?", "output": [ "2" ] }, { "id": "task835-e17988c357f043cd9cd278bc7c748c7f", "input": "What is 4.241164l in millilitres?", "output": [ "4241.164" ] }, { "id": "task835-da39145a4815420ca79a11183f6bb531", "input": "What is the next term in 393, 392, 391, 390, 389, 388?", "output": [ "387" ] }, { "id": "task835-232c0aed3e07455fb0b87449dd6cd059", "input": "How many tonnes are there in 7.535122 micrograms?", "output": [ "0.000000000007535122" ] }, { "id": "task835-872d98b3763748d28ef7dae48aba950c", "input": "Let p be (-1 + -3)*2/(-4). Let j(o) = -o**3 + 3*o**2 - 3*o. Let x be j(p). Let a(t) = -2*t**3 - 2*t**2 + t. Let z be a(x). Solve -18 + z = -3*c for c.", "output": [ "4" ] }, { "id": "task835-56ccbd39e1de44e3a45619b7900eae34", "input": "What is 0 divided by -69?", "output": [ "0" ] }, { "id": "task835-30c132b2531749a9a60459bb16467174", "input": "What is 607.907 millilitres in litres?", "output": [ "0.607907" ] }, { "id": "task835-9d5eecb385b94cdb9cbaeba3a0ff57a7", "input": "Convert 30.40365 millennia to decades.", "output": [ "3040.365" ] }, { "id": "task835-0539f812d27c49f2813063497802573d", "input": "In base 14, what is -158 + 4?", "output": [ "-154" ] }, { "id": "task835-56469e03a03f416685bcc5180651c052", "input": "What is 7/8 of a millennium in months?", "output": [ "10500" ] }, { "id": "task835-3c362689d68249d4967aef5c04a1d01a", "input": "Two letters picked without replacement from {z: 2, i: 3, b: 12}. Give prob of sequence bi.", "output": [ "9/68" ] }, { "id": "task835-3ebc8ca163554cc7a863eb22890497ab", "input": "Solve 0 = -2*y + 7 + 3 for y.", "output": [ "5" ] }, { "id": "task835-7a8ef720fd4c4acfabdd73ebf85c3b39", "input": "What is 60343.12mm in meters?", "output": [ "60.34312" ] }, { "id": "task835-fe5152d986e2478b8939a6d55af890ec", "input": "Suppose 0 = 4*t - 7*t + 1395. Let f be t/12 - (-1)/4. Suppose -4*c + 7 = -1, -n + 4*c = -f. Calculate the remainder when n is divided by 16.", "output": [ "15" ] }, { "id": "task835-3c635326146741c288650279707e1923", "input": "Evaluate ((-8)/10)/(6/30).", "output": [ "-4" ] }, { "id": "task835-da7b63b8c3984c2d868e28c3898d784e", "input": "Suppose 4 = -b + 9. Suppose 0 = 5*v + i - 4, 0 = 4*v + 5*i - 9*i + 16. Solve v = -2*s, 0 = -f - 4*s + b for f.", "output": [ "5" ] }, { "id": "task835-0405e035a7b3481a95ec4fe3fdf7ff03", "input": "What is 725.3173 weeks in microseconds?", "output": [ "438671903040000" ] }, { "id": "task835-05e099b62e404645975b39e932067910", "input": "What is prob of picking 1 k and 1 s when two letters picked without replacement from aqakqqsqq?", "output": [ "1/36" ] }, { "id": "task835-116ab323498b49bba712c03c5e3ab234", "input": "Multiply 26.6 and 2.", "output": [ "53.2" ] }, { "id": "task835-3ffaa73a1e864d9eb3484bec38e11cad", "input": "How many kilograms are there in 287.403 micrograms?", "output": [ "0.000000287403" ] }, { "id": "task835-f9e46811c3e64f33800a67d38d8ceebe", "input": "What is 0.2266777 grams in tonnes?", "output": [ "0.0000002266777" ] }, { "id": "task835-04a5d9b4d2f040c5b8fc6967555ba0fe", "input": "What is 43.59957 kilograms in tonnes?", "output": [ "0.04359957" ] }, { "id": "task835-bb8a8313a36440e8996c4942a92944e6", "input": "Four letters picked without replacement from wmxpwwpwwxgwxrmgwxpw. What is prob of picking 1 r, 2 g, and 1 p?", "output": [ "1/1615" ] }, { "id": "task835-4bf7dc8a916d4bbd8a2745e3b442362c", "input": "How many micrometers are there in one tenth of a meter?", "output": [ "100000" ] }, { "id": "task835-549e2904d37347f28378cfbbac3bcff0", "input": "Suppose -i = -2*i + 22. What is the tens digit of i?", "output": [ "2" ] }, { "id": "task835-ccaa7790d9ce4e929575f0267c115308", "input": "Two letters picked without replacement from {v: 1, w: 1, p: 2, d: 1}. What is prob of sequence vp?", "output": [ "1/10" ] }, { "id": "task835-3fff76c0f31d4c908cea868078842cda", "input": "Suppose 5*r - c = 16, 3*r - 2*c = 3 + 8. Solve 3*i - 8 - 1 = 0, -4*f - r*i = 3 for f.", "output": [ "-3" ] }, { "id": "task835-bee6a26a365a4a27bc0f2cb889c42616", "input": "Calculate prob of sequence ooer when four letters picked without replacement from {r: 4, o: 8, e: 2}.", "output": [ "8/429" ] }, { "id": "task835-74b655e36e85462185b1803cbda54c49", "input": "Let l(c) = -c**3 - 11*c**2 + 12*c + 17. Let b be l(-12). Suppose 3*z = -5*j + 167, 5*j + z - 74 = 95. What is the greatest common factor of b and j?", "output": [ "17" ] }, { "id": "task835-093313b1dd844c499ed0664fe461c1dc", "input": "Calculate 12/30*1/2.", "output": [ "1/5" ] }, { "id": "task835-fd14c2c7d0f14137a0229252f7ff6917", "input": "Four letters picked without replacement from vwvwvvwvwvvvvvvvvv. Give prob of sequence vwww.", "output": [ "7/1530" ] }, { "id": "task835-f55c3a9aa1f249578b2ef2eb99c04f5e", "input": "What is the square root of 11361 to the nearest integer?", "output": [ "107" ] }, { "id": "task835-d73cbb70c36140f093f829e5e7b8d8f6", "input": "Let o(s) = 4 + s**3 + s + 0*s + 10*s**2 + 6 + 1. Let n be o(-10). Calculate the highest common factor of n and 5.", "output": [ "1" ] }, { "id": "task835-facec832ecab44829282c858c9460d10", "input": "In base 3, what is 10010 + -201?", "output": [ "2102" ] }, { "id": "task835-083a82a3e533449fb8fabff78876d669", "input": "What is 920.9407nm in millimeters?", "output": [ "0.0009209407" ] }, { "id": "task835-d25279ac026c4c3892cf9815cc2cab4a", "input": "What is the next term in 3370, 3369, 3368, 3367, 3366?", "output": [ "3365" ] }, { "id": "task835-643fff962b004766918a28f951110360", "input": "What comes next: -15201, -15200, -15199, -15198?", "output": [ "-15197" ] }, { "id": "task835-71f423e4889a4863bfaaf7c4d48ec35e", "input": "Let l be 0 - (0 - (215 - -2)). Let h = 1363/6 - l. What is the common denominator of h and 3/2 - 518/280?", "output": [ "60" ] }, { "id": "task835-725fc135a4c84b1c8b33c4b8532b59e4", "input": "What is 7/3 of a decade in months?", "output": [ "280" ] }, { "id": "task835-556555c981b345b1a472fd0addb1ff48", "input": "Four letters picked without replacement from nknkknk. What is prob of picking 2 k and 2 n?", "output": [ "18/35" ] }, { "id": "task835-c89f0be4eca44729b40501dcd8809aae", "input": "Add together -0.1 and 637.", "output": [ "636.9" ] }, { "id": "task835-d1a22d8f61414efcb29b3b560e8648f5", "input": "Work out -5 - 1631.", "output": [ "-1636" ] }, { "id": "task835-07e99a489b164836abcb9af0b521be09", "input": "What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 2, f: 4, a: 1, x: 1, d: 3, p: 4}?", "output": [ "2/35" ] }, { "id": "task835-11d6f39539b04699a93546d7bcb2c536", "input": "What is 6/25 of a microgram in nanograms?", "output": [ "240" ] }, { "id": "task835-6565130a9d20462da5894e65410bd225", "input": "Three letters picked without replacement from {o: 8, s: 1, u: 10}. What is prob of picking 1 o, 1 u, and 1 s?", "output": [ "80/969" ] } ], "Instance License": [ "Apache 2.0" ] }