{"text":"Question: Let k(z) = z**2 + 6*z + 3. Let w be k(-2). Let s be 10\/w*17\/2. Let y = 4 + s. Is -13 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, z: 4, h: 3}. What is prob of picking 3 h and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242474 is divided by 668.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37540769.\nAnswer: 7, 5362967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 164167*f**2*o**3 - 26*f*o**3 - 870*f*o wrt f?\nAnswer: 328334*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 26*f - 38 - 80 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 9293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 21*c - 80. Let r be b(16). Is 14\/25 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7096004*c**2*f**2 + 169*c**2 + 978*c with respect to f.\nAnswer: 14192008*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 376060188.\nAnswer: 2, 3, 7, 4476907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (40\/12 - 3)\/(4\/48). Suppose 2*h = -y*a + 5*h + 3343, -4*a + 3361 = 3*h. Suppose 0 = -0*u + 2*u - a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 1 - 9 + 0*b - 5*b + 0*b. What is the tens digit of z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2\/4 - 376018041*t\/2 + 47129855719159227\/4.\nAnswer: 3*(t - 125339347)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 44311 + -44177. Let x be (3\/(-2))\/(12\/(-16)). Let n(k) = 6*k**2 - 3*k + 2. Calculate the lowest common multiple of n(x) and w.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -682, -1391, -2102, -2815, -3530, -4247?\nAnswer: -4966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + 7\/(2793\/(-1582)))*1.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*b + d = 15, 9 + 16 + 1 = -0*b + 3*b - 4*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*b**2 - 4*b**2 + 5*b**2)*(-3*b**2 + 2*b**2 + 3*b**2) - 475*b + 475*b - 62*b**4.\nAnswer: -44*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 55 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -62, -135, -208, -281, -354?\n\"Answer: -73*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oofooofooofooodoond. What is prob of sequence fdo?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = j + 4*j - 47, 5*l = -3*j + 57. Let t = 3 + l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 + 3 + (-126)\/26. What is the fourth smallest value in -2, -10, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*c*n**3 - 10*c*n - 2*c + 7*n**2 wrt n.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or -12116.23?\nAnswer: -12116.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8512063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.06 + 0.16. Let k = -0.6 - p. Let q = k + -14.4. Round q to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -6*g**3 + 107*g**2 - 91*g - 10. Let i(y) = -3*y**3 + 54*y**2 - 45*y - 6. Let z(s) = 3*h(s) - 5*i(s). Solve z(b) = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3483 - 49437?\nAnswer: -45b74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w**(-2\/15)*w*w*w*w))\/w*w*w\/(w*(w\/w**(-4))\/w))**(4\/9) assuming w is positive.\nAnswer: w**(-472\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 160 + -158. Find the third derivative of 2*b**5 + 11*b**2 - b**3 - 3*b**3 - b**o + b**3 wrt b.\nAnswer: 120*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d - 7*d - d)*(-d**2 + 3*d**2 - d**2) + 132*d - 132*d - 25*d**3.\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2226 is divided by 447.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*n = 35*n - 11. Let g(q) = -8*q - 10. Let l be g(-4). Put n, -1\/3, l in descending order.\nAnswer: l, n, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-2*sqrt(847)*6)**2.\nAnswer: 1951488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/200 and (-1)\/(-6) + (-2418)\/5200?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -51\/1018 and -41\/1018.\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 470 + 416 - 1336 + 447 + 3*q**2.\nAnswer: 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5093674 by -1.\nAnswer: -5093674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/47 in 2, -1\/3584, 0.3, 1, 1\/3?\nAnswer: -1\/3584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y + 9*y**2 - 8*y**2 - 4*y**2)*(2*y**3 + 5*y - 5*y).\nAnswer: -6*y**5 + 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 2, a: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4744, -4743, -4742?\n\"Answer: g - 4745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (1234 + 2554 + 838 - 404)*(-d + 19*d - 2*d) in the form v*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of 0*o + o**2 - 1\/200*o**6 + 1\/10*o**4 - 4\/5*o**3 - 49 + 1\/50*o**5. Suppose m(b) = 0. What is b?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -31220.0598 and -1?\nAnswer: 31220.0598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -12.048. Let j = a - 0.182. Let p = -0.2411 + 0.2411. Is p less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (7 - 172\/24)\/(1\/8662). Let w = m - -1424. Calculate the common denominator of w and -143\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 3*y**2 + 2*y + 2. Let w(f) = 11*f + 1. Suppose -m - 4*m + 5 = 0. What is the remainder when u(3) is divided by w(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(76)\/(sqrt(4)\/sqrt(2)*-5))\/(((sqrt(50) - sqrt(3200) - sqrt(50)) + sqrt(2))*2).\nAnswer: sqrt(19)\/390 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(2 + -1*(sqrt(136) - sqrt(136)*4)\/sqrt(8)) + -2)*-5.\nAnswer: 60 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.89071 rounded to 1 decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 69*l**2 - 10 + 9)*(0*l + 0*l + l + (3*l - l + 0*l)*(-2 + 0 + 4) + 2*l - 3 + 3).\nAnswer: 483*l**3 - 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406763.\nAnswer: 7, 58109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7529187?\nAnswer: 3, 19, 31, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0*(-3)\/((-24)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 768321605 divided by 46715.\nAnswer: 16447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.275 - 0.075. What is the biggest value in 4, -21, -27, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -569216 + 569114.0109. Let r = 102 + p. Round r to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 127 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -7080 divided by -4\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1616\/(-144)*3)\/(1\/27). Which is smaller: -913 or i?\nAnswer: -913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 - (76 + -29 + -14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-24)\/40)\/(((-1)\/1)\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1877 is divided by 710.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 224719543 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 11*p**2 - 1 + 1 + (-3 + 2*p + 3)*(2 - p - 2).\nAnswer: 9*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -150 in 1\/2, 0.17, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -115.7 + 103.71. Let o = q + 13. Let k = -0.01 + o. Sort -0.2, k, 4 in decreasing order.\nAnswer: 4, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes before 9:27 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11181596 rounded to four dps?\nAnswer: -0.1118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 AM and 11:41 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 500 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + v - 2*v + 6*v)*(-4*v**3 + 4 - 4).\nAnswer: -20*v**4 + 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0) + (-3 + -20 - -21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 12 + 28 = 0. Suppose 3*h = -2*s + 51, u*s - 93 = s - 3*h. Sort s, 3, -1 in ascending order.\nAnswer: -1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 701056695?\nAnswer: 3, 5, 46737113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, v: 2, s: 3, e: 3, c: 1, n: 1}. What is prob of sequence vev?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 24 = -n, 0 = -5*f + 38 - 13. Suppose p = -5, x - 2*x + 3*p = -n. Let k be 256\/(-144) + x\/(2\/(-4)). Sort -0.4, 0, k in descending order.\nAnswer: k, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26127.\nAnswer: 3, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 0*w + 0 - 10\/7*w**4 - 4*w**3 - 24\/7*w**2 - 1\/7*w**5 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - -321?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4.4 - -4. Let v = 3 + -5. Let h = 1.7 + v. Which is the third smallest value?  (a) r  (b) h  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 47\/7, -28\/5, 0.07 in decreasing order.\nAnswer: 47\/7, 0.07, -28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1265212*q**4 - 5*q - 100081 wrt q.\nAnswer: 15182544*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -510*l**3 - 7*l - 6. What is v(-1)?\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32066, 64094, 96122, 128150?\nAnswer: 160178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 2297*c**3 - c**2 + 12 + 2*c - 2339*c**3 to the form k*c + m + p*c**2 + s*c**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -6*j - 22. Let i(f) = -4*f - 15. Let w(c) = 8*i(c) - 5*v(c). Let u(k) = -3*k - 11. Let d(o) = 4*u(o) - 5*w(o). Is d(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10 + (1 - 0) + 0. Let m = d + -7. Let h(s) = -s**3 + 8*s**2 + 8*s + 24. Let b be h(9). Solve 12 = -4*r + 4*f, m*f + f = -3*r + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from dnvxoxwnowoxnowxxvx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 70584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -370*i + 370*i - 6*i**5 + 2 + (5*i - 4*i + 5*i)*(29*i**4 + 36*i**4 - 8*i**4).\nAnswer: 336*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**2 + 3*q**2 - q**2 + (36 - 3*q - 36)*(2 + 2 - 2)*(-54 + 54 + 26*q) + 2*q**2 - 5*q**2 + 2*q**2.\nAnswer: -155*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {z: 4, d: 1, o: 1, x: 6, v: 8}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 33 = 30. Suppose 0 = 5*g - 9 - 1. Let f(v) = -4*v + v - 8*v**i + g*v. Determine f(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.223032 millilitres in litres?\nAnswer: 0.005223032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 256361 and 695837.\nAnswer: 4870859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 7:32 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 7) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 57 and 1862.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 12808, 102440, 345746, 819568, 1600748, 2766128?\n\"Answer: 12807*i**3 - 5*i**2 - 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.103*-3.\nAnswer: 0.309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -5796382.677 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.93 + -0.07. Let z = 9.04 - 3.87. Let s = z - 0.17. What is the nearest to q in s, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28752*a - 20138*a = 654664 for a.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*i + 140*i + 264 = 262*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1577 + 723. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -60, -1\/4, -5, 0, -1, -11\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -27*a**2 - 808*a + 64. Let l be x(-30). Let v(d) = 8*d**3 - 11*d**2 - 9*d - 23. Let w(s) = -3*s**3 + 4*s**2 + 3*s + 8. What is l*v(p) + 11*w(p)?\nAnswer: -p**3 - 3*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*a**2 - 5*a**2 + 7*a**2 in the form q*a**2 + c + b*a and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -632212 + -5?\nAnswer: -632217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -41*k + 8. Let o(d) = 39*d - 9. What is 5*o(p) + 6*z(p)?\nAnswer: -51*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*h + 3931*h + 140964 = 0 for h.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -1202201222210 (base 3) to base 8\nAnswer: -3453233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -33*a - 3. Let s(l) = -42*l**2 - 132*l. Let i(b) = 5*b**2 + 16*b. Let c(z) = 33*i(z) + 4*s(z). Determine c(j(q)).\nAnswer: -3267*q**2 - 594*q - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.884 and -0.7.\nAnswer: -0.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1521096200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18040 and 39683080?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence acc when three letters picked without replacement from {a: 4, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1852011970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + -22 - (-5 + 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(8\/5)\/c)\/c*c**(-2\/5))**50 assuming c is positive.\nAnswer: c**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5.19 - 4.559. Let d = f - -0.204. What is d rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 - (-39 + 2) - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a millimeter in micrometers?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/10)\/x**(-2\/19))**(1\/96)*(x**(-2\/5)\/x)\/((x**(-3)\/x)\/x)*(x**(1\/4)\/x)\/x**(-2\/5) assuming x is positive.\nAnswer: x**(59281\/18240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.17149128 to three decimal places.\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 - -15. Let z = 21 + -13. Suppose 0 = -2*g + z + 20. Calculate the remainder when n is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 92*z - 84*z. Solve -7*w - z = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**5*o**3 - 63*h**2*o**3 - 6*h*o**3 + 2*h*o**2 - 2*h wrt h?\nAnswer: -40*h**3*o**3 - 126*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*0\/(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 259\/2 - 1287\/10. Let p = -0.3 + 0.1. Which is the nearest to p?  (a) n  (b) -1  (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 5 = 8*r - 3*r, 0 = -3*r + b + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*s = -109 - 46. Let j = 124\/3 + -1862\/45. What is the third biggest value in j, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 12 and 40995165299.\nAnswer: 40995165311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5083213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -42 in 1\/4, -1\/3, 3, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1376 in -2, -3\/4, 4, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*q*r**3 + q - 45037783*r**3 + 58327737*r**2 wrt r.\nAnswer: 24*q - 270226698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = -5*x + 756. Calculate the highest common factor of x and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*h**3 - 30*h**2 + 60*h**2 - 31*h**2 in the form k*h**2 + l*h**3 + s*h + j and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 23 = -l, h + 19 = -1099*l + 1100*l + 52 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d. Suppose 2*k - 1774 - 1794 = 0. Let t(u) = u**3 - 2*u**2 - 10*u + 22. Let y be t(2). Let l(x) = -34*x**y - k + 1784. Determine n(l(j)).\nAnswer: -68*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*h**4\/2 - 525*h**3\/2 - 344*h**2 - 114*h = 0. What is h?\nAnswer: -57, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9171.20057 + -0.07.\nAnswer: -9171.27057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of a**7\/560 - 9*a**6\/320 + 3*a**5\/20 - a**4\/4 - 350*a**2. Suppose m(x) = 0. What is x?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24235392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (144 - 85 + 266)*(8*y**3 + 28*y**3 - 2 + 2).\nAnswer: 11700*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 1557083.871 nanoseconds?\nAnswer: 0.0000000025745434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1570.13 minus 30?\nAnswer: -1600.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r*r**28)\/r)\/(r*(r\/((r\/r**(2\/23))\/r))\/r))\/(r**(-4))**34 assuming r is positive.\nAnswer: r**(3770\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(1 + (sqrt(170)*-2*-6)\/(3*sqrt(40)\/sqrt(4)) + 3).\nAnswer: 16 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30070 + 70695. List the prime factors of v.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(4\/13)*b*b)\/b)\/b*b)\/(b*b\/(b\/(b**(-8)*b))*b)*(((b*b**2)\/b)\/b)\/(b*b**(1\/6)\/b*b) assuming b is positive.\nAnswer: b**(479\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -13. Suppose r - 11 = -3*j. Suppose -7*x + 18 = k - j*x, -k + 9 = -4*x. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d\/d**(-2)*d*d)\/d**3*(d*d**(2\/9)\/d)**(-7\/2) assuming d is positive.\nAnswer: d**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -141*a**2 + 892*a**3 + 2*a + 319*a**2 - 179*a**2 to the form m + o*a**3 + f*a + t*a**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1968885 by 9.\nAnswer: -218765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**2. Let u(x) be the first derivative of -13*x**4\/12 - 9*x - 6. Let j(p) be the first derivative of u(p). Determine j(q(n)).\nAnswer: -52*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**6\/120 - y**4\/24 + 5*y**3 + 2*y**2. Is d(0) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(63) + -1)**2 + -1 + 3*(sqrt(21)\/sqrt(3) + 5) + 1 + 3.\nAnswer: -3*sqrt(7) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 + -212550?\nAnswer: -212553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219335 is divided by 109664.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -5*x**3 - 117*x**2 - 130*x + 564. Determine v(-22).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -594, -596, -598?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c = -5*c - 192. Let q be 58\/8 - 3*2\/c. Solve 2*m - 5*b - 23 = 0, 2*m = -b - 0 - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 62 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -214*f**3 + 2*f**2 - 5*f + 4. Let y(h) = -216*h**3 + 3*h**2 - 7*h + 6. Give 3*a(d) - 2*y(d).\nAnswer: -210*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + -2 + 15\/6. What is the nearest to d in -2\/9, 0.5, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12  (b) 9\/2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(0 - 1)*996\/166?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a factor of 2586897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5*a - 12. Let k(g) = -g + 10. Suppose 6*z - 4*z + 24 = 3*w, -z = 4*w - 21. Let o be k(w). Solve 0 = 5*c - l - 5, a = o*c - l - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**13\/(h*h\/((h\/(h*h**(4\/5)))\/h*h)) assuming h is positive.\nAnswer: h**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 94.6.\nAnswer: -97.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -142949, -286338, -429751, -573200, -716697, -860254?\nAnswer: -1003883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.07 or 160\/28057?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Let q = 8 - p. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 5  (b) -2\/5  (c) 0.3  (d) -321  (e) 2319\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*v + 20*v = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24642660 divided by 35.\nAnswer: -704076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 130 and -8.92445459.\nAnswer: 121.07554541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - q**2 + 2*q - 2. Let t(f) = 21*f**3 + 11*f + 14*f**3 - 11 - 40*f**3 - 4*f**2. Give 11*c(z) - 2*t(z).\nAnswer: -z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 10:13 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -33*g**4\/7 - 988843*g**3\/7 - 7408119574*g**2\/7 - 6958210116*g\/7 + 448920648\/7 = 0?\nAnswer: -14982, -1, 2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xsxw when four letters picked without replacement from wrwsxsgxwuxg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40 - -40. Let z = 1 + 0. Let j = 1.5 - z. Are j and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*(o**(19\/2)\/o)\/o*o*o)*o\/(((o*o**(-5\/6))\/o)\/o))\/(o**(-28)\/((o\/(o\/(o\/o**(-4)))*o)\/o)) assuming o is positive.\nAnswer: o**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 93 is divided by 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 0.14734?\nAnswer: 0.14734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 + 65. Let z = -15 + 38. Suppose -g - 3*g = -j*v - z, 0 = -g - 4*v - 10. Solve 2*w + 2 = -g*d + 8, -w + d = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 55087.9 - 1888128.\nAnswer: -1833040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -440*u = -442*u + 1922. Let z = u + -939. Solve -2*v - 4*r = 3*v + 10, -4*r - z = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.3 in -3, 0.1566, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1902280435 rounded to six decimal places?\nAnswer: -0.190228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 41447992409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n. Let v(w) = -27*w - 11. Let z(t) = -3*b(t) + v(t). Suppose -124*h = -112*h + 132. Is z(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 8*k**2 + 13*k + 4. Calculate j(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/15 - 16*x**2\/15 + 14*x\/3 + 196\/5.\nAnswer: -2*(x - 6)*(x + 7)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -126, -484, -1074, -1896?\n\"Answer: -116*s**2 - 10*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 514 - -501. Let s = k + -1864. Let c = s + 13545\/16. What is the common denominator of c and 123\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.189 + 0.289. Which is the nearest to w?  (a) 3\/5  (b) 4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1650*j**2. Let i(t) = -t. Calculate i(s(x)).\nAnswer: -1650*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 116857.42 minus 29?\nAnswer: 116828.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 - 16*x**2 + 8*x + 73. Let l be s(12). Let b = -401 - l. Solve 0 = -2*f + b*f - 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -785, -1532?\nAnswer: -2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1270223?\nAnswer: 17, 74719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -1\/120*p**5 - 5\/6*p**3 + 0 - 10*p**2 + 0*p - 1\/4*p**4. Let r(t) be the first derivative of z(t). What is r(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**3 + 742580*n**2\/3 - 495056*n\/3.\nAnswer: 2*n*(n + 123764)*(3*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6131 + -6131.19022. Let c = -0.19 - d. What is c rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 9*f**4 - f**3 + f**2 - f + 3. Let p(w) = 8*w**4 - 208*w**3 + w**2 + 2*w - 5931. Let l(g) = p(g) - t(g). Differentiate l(x) wrt x.\nAnswer: -4*x**3 - 621*x**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, 2, 8.\nAnswer: -2, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 8*u + 4. Calculate y(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 6*u + 7. Let x be s(0). Let t be (-1)\/x + 58\/14. Suppose -d = -t*d - 3. Put d, 3, -2, -6 in decreasing order.\nAnswer: 3, d, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 - 0.21. Let o = y + 0.02. Let i = 68496 + -68494. Sort o, -0.3, i in decreasing order.\nAnswer: i, o, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17334 + 17323.229. What is w rounded to one dp?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 99 - 46 - 53. Let d(u) = u**3 - u**2 - u + 1. Let m be d(2). Let f(a) = a**2. What is m*f(j) + 6*r(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -4*i**2 - 8*i - 8. Let o(v) be the third derivative of -v**5\/60 - v**4\/24 - v**3\/6 - 5*v**2. Determine 8*o(n) - y(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2678*c**3\/7 - 5344*c**2\/7 + 2654*c\/7 + 12\/7.\nAnswer: 2*(c - 1)**2*(1339*c + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406478791.\nAnswer: 97, 4190503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11298858607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((56\/42)\/(-1))\/(5\/(60\/(-8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2785 is divided by (2\/(-7))\/(89\/(-21182))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 151045 is divided by 18878?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + -8 + (-1298)\/(-22) + -48)*64\/6. Let b be (-1 - (-9)\/5)*5. Solve 4096\/9 + s*a**2 + 1\/9*a**b + 32\/9*a**3 + 2048\/9*a = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -168, -94, 10, 150, 332, 562, 846?\n\"Answer: p**3 + 9*p**2 + 40*p - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - t**2 - t + 45. Let l be j(0). Suppose 2*f = -f + l. What is the remainder when 29 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a**3*k*z + a**3 + 5*a**2*z - 369*a*z - 12774*k*z wrt k?\nAnswer: -2*a**3*z - 12774*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -32*s - 207. Determine q(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 0.2  (c) -0.5  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 - 9*v - 4. Let u be z(-6). Suppose -2*s + 11 = 5*a - 13, 0 = -s + 4*a - u. Let b = 11 + -8. Solve 4*f = 3*l - 5, -3*f - b*l - s*l = -18 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -176 - -170. Which is bigger: x or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*g**2 + 6*g**2 + 4*g**2 - 4*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2002 and 2098426.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 3*o + 2. Let y(n) = -12*n**2 - 14*n**2 + 6*n + 28*n**2 + 2 + 3. Determine 7*t(w) - 3*y(w).\nAnswer: w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 1\/3*w**4 + 5\/6*w**3 - 88*w + 0 + 0*w**2. Factor x(b).\nAnswer: b*(4*b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**4 + s**4 - s**5 + s**5 - 2*s**5 + 2*s**5 + (0*s**4 + s**4 + s**4)*(-s - 4*s + 4*s) - s**4 + 0*s**4 - 46*s**5 + 43*s**5.\nAnswer: -5*s**5 - s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.47 - -8.2. Let u = -0.270059 - k. Round u to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -d**2 + 14*d**2 - 6*d - 2*d**2 - 4*d**3 - 39*d**3 + 36*d**3 to q*d**3 + h*d**2 + b*d + t and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of n**3\/3 - 13*n**2\/2 + 45*n - 53. What is the remainder when 117 is divided by v(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -53b8 (base 13) to base 16.\nAnswer: -2d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3672 and 7316664.\nAnswer: 65849976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 96*f - 167*f - 219*f.\nAnswer: -290*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -144 - 976 - 2*b**2 - 509 - 980 + 271 to v*b + o*b**2 + f and give f.\nAnswer: -2338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b - 13*b**3 - 110*b**3 + 9*b**2 - 2*b**2.\nAnswer: -123*b**3 + 7*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t - 900 = 5*t. Let q be (1\/(-3))\/((-12)\/t). Suppose c + 20 = 3*c - j, 5*c = q*j + 60. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 - (-35 + (-10 - -6 - 5) + 1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.3  (b) -8\/5  (c) -0.2  (d) 387  (e) -5  (f) 9\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/713  (b) -5  (c) 2\/3  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:13 PM and 10:11 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -4*y + 22, 0 = -q + 2*y - 12 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34111601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -29, -1, -1\/100, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30012320333 - -103?\nAnswer: -30012320230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2396, -4643, -6912, -9203, -11516, -13851, -16208?\n\"Answer: -11*g**2 - 2214*g - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -26. Let z = 24.064 + a. What is z rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -31 - -38. Suppose 2*b + 4*c - 3 + i = 0, -c + 17 = 5*b. Suppose 5 = 3*f - b. Solve f*y - y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8507 and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -232540.\nAnswer: 1\/46508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 7*v = 11*v + 1466, 0 = -2*n - 4*v + 1442. List the prime factors of n.\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -606018 divided by -4298?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*i**4 + 689*i**3 - i**2 - 3*i - 166?\nAnswer: 96*i + 4134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/3 in 28, 35\/12, -94, 0.5?\nAnswer: 35\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7623048 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m**4\/8 - 3882197*m**3\/2 - 15528785*m**2\/2 - 7764392*m = 0. What is m?\nAnswer: -15528784, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -15 - -14.94. Let n = -9.06 - d. Let u = n - -9.1. Is -0.2 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35010*b**2*i**2 - b**2*i + b*i**2 - 4*b*i - 7030*b - 8*i**2 wrt i.\nAnswer: 70020*b**2 + 2*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -6. Suppose o + y = -2*o. Let z = -8 - o. Which is the biggest value?  (a) 3  (b) z  (c) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -1602*a. Let j(q) = -800*q. What is 2*h(u) - 5*j(u)?\nAnswer: 796*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/((-20)\/38) + 8\/(-10). Solve 0 = -q + 4*a + 16, -g*a - 18 - 7 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 3*l**2 - l + 1. Let t be j(-2). Let y be ((-1475)\/t)\/((-2)\/(-120)). Round y to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from zdkdkzkzz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -656921\/164 or -4005?\nAnswer: -656921\/164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, j: 11, z: 1}. What is prob of sequence zjo?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 0 - 0) + 4 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f - 1. Let j(i) = -4*i - 2. Let r(c) = 4*j(c) - 5*q(c). Let w be ((-72)\/20)\/(1\/10*-4). Let s(x) = 6 + 21*x - 17 - w + 5. Give 11*r(g) - 2*s(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44 - 132002?\nAnswer: -131514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 274\/(-10)*(-15)\/3. Suppose 0 = 2*i + 23 - h. Let l be 8\/(-2)*i\/(-12). What is l rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 75*x + 3*n + 3470 = -n, 5*n + 7 + 18 = 0 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 - 10. Suppose 3*h + 5*u - 16 = 0, -h - 1 = -q*u + 5. Solve -6 = 2*n - 4*w, 2*n - 3*w - 6 = -h*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 33195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2 - 5\/3) + ((-508725)\/(-27) - 9)?\nAnswer: 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x - 1. Suppose -3*i - 3*k + 3 = 0, 0 = i + 2*i + 5*k - 1. Let o(j) = j + 3 + 7*j - i*j. Let a = 2 + -6. What is a*w(z) - o(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*d - 42, -n + 2*d + 90 = n. Suppose 5*k - n = 14. Calculate the remainder when 33 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) 2  (b) 4  (c) -2  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.187 + -0.187. Let t = u - 6. Which is the nearest to 0.8?  (a) t  (b) 1\/9  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - a + 14 = 0, 4*l + 6*a - 3*a - 4 = 0. Put 0, 2, 7, l in ascending order.\nAnswer: l, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -2 + (sqrt(18)\/sqrt(6)*-6 - sqrt(192)*-2 - (sqrt(300)*-2 + (sqrt(3) - (sqrt(432) + 0))))**2.\nAnswer: 5040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.2544 - -0.0756?\nAnswer: -67.1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 89058282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -68, -295, -672, -1199, -1876, -2703, -3680?\nAnswer: -4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -770 and 0.11.\nAnswer: -769.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 462 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -395*s**3*u**3 - 68*s**3 + 2*s + 1819*u**3 wrt s?\nAnswer: -2370*s*u**3 - 408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*l = -l - 68*l + 1590 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*r = 301 - 319 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - -1846?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(3*(-2*(-2*sqrt(66) - sqrt(66)) - sqrt(66)))\/(1*5*sqrt(6)*-1).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -5*z**3 - 49*z**2 + 12*z + 42. What is q(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -18483, 3, -0.29011?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 35 + 17 = 0. Let l(j) = j**3 - 2*j**3 + 15*j + 12*j**2 + 0*j**3. Does 18 divide l(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*g = -3*u - 1579, -5*u = -2*g + 624. Suppose 0 = -7*i + 6*i - g. Let r = i - -444. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a96 + -b7?\nAnswer: -b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 4.258\nAnswer: 0.8516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3238912016?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 12 = x. Suppose 4*t + 0*p + 2*p - x = 0, 5*t = -3*p + 16. Is 14 a factor of t + -2 + 0 + 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -20*a**2 - 8. Let z(g) = 7*g**2 + 3. Let k(s) = -3*r(s) - 8*z(s). Let w(j) be the first derivative of j**3 - 1. Determine k(w(n)).\nAnswer: 36*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27518*n**3 + 44 - 28058*n**3 - 44.\nAnswer: -540*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 209, 247, 299, 371, 469, 599, 767, 979?\n\"Answer: y**3 + y**2 + 28*y + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*p + 1150 = 374*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 - 0. Let j = -10292 + 113210\/11. Suppose 5*q - 2*m = -25, 0 = -q - 0*m - 3*m + 12. What is the nearest to q in -3, j, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8067 + 10806 = -435*v + 8982 - 9684 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/q**(4\/5))\/q**8*q*q*q*q**(2\/9)\/q*q*q*(q\/(q*q*q**(2\/15)*q*q))\/q)**(-14) assuming q is positive.\nAnswer: q**(4228\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -22*j - 5. Let t(r) = 21*r + 4. Determine -5*q(o) - 6*t(o).\nAnswer: -16*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 66821418.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2654.2*-154\nAnswer: 408746.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111000000101101100 - 1000101011?\nAnswer: -111000001110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 364*d**5 + 2556*d**4 + 4788*d**3 - 988*d**2 - 6576*d - 144 = 0. Calculate d.\nAnswer: -3, -2, -2\/91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 223 divide 2869656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -2)*-2 + 2.\nAnswer: -8*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6077285743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 47, 0, -76, -1, 23, 122 in ascending order.\nAnswer: -76, -1, 0, 2, 23, 47, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a**2 - 19*a + 10. Let h be k(4). Let q(t) = -8*t + 5. Let x be q(5). Is h != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26996 + -12042. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3997788 divided by -3997788\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyyyyyjyyyyyyyyyj. What is prob of picking 1 j and 2 y?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/3, -2\/23, -330 in ascending order.\nAnswer: -330, -2\/23, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*f**2 + 192 - 254 + 35*f + 218 wrt f.\nAnswer: -6*f + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -5*s - x + 37, 2*x = -2*s + 32. Suppose i - s = -b, -4 = -0*i + i - 4*b. Calculate the highest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1042212100 - 313?\nAnswer: -1042212413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*x = -5*k + 75*x + 33, -5*k + 2*x = -49. Which is bigger: k or 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j + j**2 - 9*j + 4 + j. Let t be k(5). What is the units digit of (-4 - t)\/(7\/(-63))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(468)*4)\/((sqrt(256) - sqrt(4) - sqrt(4) - sqrt(4))*-1).\nAnswer: 36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74864 = -6*k + 5*u, k - 12*u - 12477 = -11*u. What are the prime factors of k?\nAnswer: 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9205 = 5*d + 4*i, 5*i - 45 = -2*d + 3637. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 4:08 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.5, -25, -74, 5 in ascending order.\nAnswer: -74, -25, 1.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (6\/(-8))\/(1\/(-4)). Let c = 7.7 + -2.7. Put -0.3, c, x in ascending order.\nAnswer: -0.3, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 1 m, and 1 c when three letters picked without replacement from vgcum.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/7)*j)**3\/(((j\/j**(-6))\/j)\/j*j**(-3)*j) assuming j is positive.\nAnswer: j**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**3 - 18*o**2 + 36*o**2 - 18*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 3*d + 3, -d + 19 = q - 5*d. Suppose -i - 52 = q*i. Let z = i - -30. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((5*(1 + sqrt(1584)) - (-1*sqrt(1584) + -1)) + 4).\nAnswer: 60 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b + 3*b - 4*b)*(-4 + 4 + 2*b)*(1394*b**2 - 44*b**3 - 1411*b**2 - 11*b**3 - 2).\nAnswer: -220*b**5 - 68*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3361211 (base 7) in base 15?\nAnswer: 83db8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 560393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 5*f = 52. Suppose -r - k = 4 - 1, 5*k + f = -4*r. What is the closest to -0.1 in r, 3, 11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:08 PM and 3:03 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5.396874 grams?\nAnswer: 0.005396874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-2)*(8\/(-6) + (-399)\/(-342))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.12 + 4.22. Let v = -0.1 + z. Let m = -43 + 39. Which is the third smallest value?  (a) -4\/5  (b) m  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-8))\/((-15)\/(-40)) - (-14950)\/(-390)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -45, -4, 250, -6, 2.\nAnswer: -45, -6, -5, -4, 2, 3, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**5 - a**3 + a**3 + (-2*a - a + 9*a)*(a**4 - 2*a**4 - a**4).\nAnswer: -14*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31 - -30.5. Which is the third smallest value?  (a) s  (b) -6  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5980788, -23923168, -53827130, -95692668, -149519776, -215308448, -293058678?\n\"Answer: t**3 - 5980797*t**2 + 4*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12875628, -25751257, -38626886, -51502515, -64378144, -77253773?\nAnswer: -90129402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 4 = 5*i. Let g(x) = x - 2. Let k(m) = -3*m + 6. Let l(t) = i*k(t) + 7*g(t). Determine l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-30)*20\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -12*s - 73. Let x be c(-13). Suppose 17 = 5*v - x. Let l be (v\/30)\/((-2)\/15). Let r(n) = n**3 + 4*n**2 - 4*n + 3. Calculate r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/(-3) - (-5 + 4784\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (64 + -51 - (10 - -12)) + 69 + -2 + 3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -1996, -208, 2, 4 in descending order.\nAnswer: 4, 2, -1, -208, -1996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-9 + 3 + 5 + (-8 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 774805 a multiple of 2428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*d + 14 = -120*d - a, 3*d - a - 10 = 0. Let n be 1*(2226\/84 - (-1)\/d). Solve n = -8*l - l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 16 + -25. Let u be (o - 5)\/((-6)\/9). Suppose u*n - 2093 = 8*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -93a6c (base 13) to base 2.\nAnswer: -1000000110011001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -7*c**3 - 6*c**2 - 27*c - 16. Let b be w(-17). Round b to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*f + 46 - 228 = 0, 0 = f + 5. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 436821017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(2\/15))**(6\/29)*(b**14*b)\/((b\/(b\/(b**(-5\/14)\/b*b)))\/b))**(-47) assuming b is positive.\nAnswer: b**(-1563267\/2030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/5?  (a) 4  (b) -3  (c) -2  (d) 93  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84689 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 123 and 168?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 10000200022 (base 3) to base 11\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 57182385 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3952100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 340*l - 243*l - 171*l + 9187 - 307 = 0 for l.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/(-2) + 5 + 4\/(-4). Let d(u) = 2*u**3 - 17*u**2 - 10*u + 11. Let y be d(9). Solve -y = -z*n - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -224 = 34*u - 90*u. Let p be (-1109 - 1)*(-1)\/2. Calculate the common denominator of 47\/16 and (u - p\/160)*-6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157700 is divided by 292.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29119097.\nAnswer: 7, 263, 15817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36298322*u**3 - 1177*u + 33 wrt u?\nAnswer: -217789932*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - u + 3*u = 5188, 4*u = -d + 1290. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of -r**6\/900 + r**4\/60 + 2*r**3\/45 - 32*r**2. Factor d(i).\nAnswer: -2*(i - 2)*(i + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**2\/4 + 32809319*f + 1076451413243761.\nAnswer: (f + 65618638)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7308 and 994932?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -3 + (sqrt(65)*2)\/sqrt(5).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1132)\/(-12) + (-4)\/3. Let k = 95 - i. Solve -3*p = k*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8468928 a multiple of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109 - 107 = w. Factor 8\/7 + 4\/7*q**w - 12\/7*q.\nAnswer: 4*(q - 2)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 + 57. What is the biggest value in -5, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 18 = -2*t, 19 = -3*t + 4*k + 2. Let b = t - -16. Suppose -7 = a + 2*f, 58*f = a + 56*f + 7. Sort -3, a, b in increasing order.\nAnswer: a, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 16 + 28\/3*b - 46\/3*b**2 - 2\/3*b**4 - 28\/3*b**3 = 0. Calculate b.\nAnswer: -12, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*c**3 + 5*c**3 + 13*c**3.\nAnswer: 30*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*o + o + 0*o)*(-343*o**2 - 188*o**2 + 97*o**2 + (-2*o**2 + o**2 + 0*o**2)*(1 - 3 + 5)) as b + u*o**2 + n*o + k*o**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1176 and 1764?\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/(-57)*2\/14*-6?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 63\/(-70) - (-3)\/(-5). Let o = -3\/17 - 59\/51. Let t = -1 - o. Which is the biggest value?  (a) m  (b) t  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 5. Let r be 4\/10 - 255002\/l. What is r rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 5*u**2 - 6*u + 5. Let i be d(6). Let q(g) = g - g - 20 + g**2 - i*g. Is q(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1548.8649 to zero decimal places.\nAnswer: -1549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1, 62, 153, 266, 395?\n\"Answer: -i**3 + 20*i**2 + 10*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, a: 1, t: 4}. Give prob of picking 1 p and 1 t.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-12) + (-85)\/(-4). What is the greatest common factor of 42 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/623 or 1?\nAnswer: 2\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkwiikwkrkjkkttiit. What is prob of sequence kt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.4 + -1. Let w = 307240699\/1447731 + -1\/160859. Let t = w + -212. Which is the second smallest value?  (a) d  (b) t  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23 + (8 - (-7 + 23 + 3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23144464067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 + 11. Let z = i - -17. Let u be z\/(-30) - 52\/(-60). Solve -c + 3 = -u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39857081351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 16112 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.3, 0.4, -5, -0.009?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -3*j**5\/2 - 58305*j**4\/2 - 22906089*j**3\/2 - 2284381695*j**2\/2 - 1130766954*j = 0.\nAnswer: -19036, -199, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**4\/5 + 2*n**3 - 2*n - 4\/5 = 0. What is n?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190552 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44131, -176620, -397625, -707302, -1105807, -1593296?\nAnswer: -2169925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44702586, -44702594, -44702614, -44702652, -44702714?\nAnswer: -44702806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*o**2 + 400*o + 406*o - 806*o + 886 to the form y*o + l*o**2 + f and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1312304 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, l: 6, v: 2, m: 3}. Give prob of sequence oovv.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 741654116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -22824 in 1, 0.1, -223\/5?\nAnswer: -223\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 - 2*y**2 + 19*y - 13. Let b be f(3). Put -116, b, 33, 5 in descending order.\nAnswer: 33, 5, b, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i**2 - 131*i + 1545. What is g(50)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 r when three letters picked without replacement from hhhhrrthhrhxhh?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 13 + -33241313331?\nAnswer: -33241313313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5 - 11*h - 14*h - 17*h + 49*h. What is b(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/1318*312\/(-26). Let m = -15301\/7908 - s. What is the common denominator of -7\/9 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -918 - -918.50325. Let p = a - -23.42975. Let n = -23.8 + p. What is n rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millennium in years?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -13*g**3\/3 + 18*g + 18. Differentiate t(v) with respect to v.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.734  (b) 2\/9  (c) 2.9  (d) 24\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 771517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 526828, 1053755, 1580682?\n\"Answer: 526927*r - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -110 by 55.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + t = -2*s + 17, 2*t = 5*s - 21. Let v(k) = 5*k - 1. Let w(i) = -7*i + 95 - 19 - 52 - 26 + 18*i. Calculate s*v(n) - 2*w(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/6 - (-310542)\/(-13140) - -1) + 20?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - 48\/(-20))*10. Suppose -s*g - 116 + 12 = 0. Let r = g - -46. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 40 = -b. Let j(m) = -m**2 - 25*m - 112. Calculate the remainder when j(-7) is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 6082309*u**3\/2 + u**2\/4 = 0?\nAnswer: -1\/12164618, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s - s**2 - 4 + 3*s**2 - 2*s - s. Let c be r(-2). Solve -x + c = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 276 = 3*v, 0 = 5*w + 2*v - 254 - 199. Let y(x) = -34*x + 514. Let r be y(15). Suppose r*t - 364 = -3*i, 0*i - w = -t + i. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 324867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let s be -3*3\/9*44\/220. Which is the smallest value?  (a) -0.3  (b) s  (c) 0.05  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 824 + -840 + 22 + 0 - 38?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {o: 1, s: 3, j: 1, i: 3, r: 2, l: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18138 + 18113. Sort -4, 0, 2, c in decreasing order.\nAnswer: 2, 0, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of x**9\/1680 + x**5\/30 - x**4\/4 - 7*x**2. Let u(f) be the second derivative of s(f). Differentiate u(p) with respect to p.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 5 = -2*d - 10, 3*d + 12 = 0. Let z = 11 + n. Solve -21 = -z*a - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 7 + 4. Let d = s - -64. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/19?  (a) -10  (b) 7  (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + c = 1, -c = 5*o + c. Let y be 64\/(-1) + (-4)\/(-4) + o. Let z = 191 + y. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1\/2*f**3 + 7\/2 + 5\/2*f**2 - 13\/2*f = 0 for f.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/(-20) + 16\/10. Solve -2*h - k = -3*j, 5 = -4*h + 1 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*o, 3*g - 4*g - 3*o - 11 = 0. Solve 0 = -g*d - 0*d + 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s - s - 3*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/8 - 1708\/336*-3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11213335 - -4?\nAnswer: 11213342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -99*k - 29. What is the hundreds digit of s(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -276*l - 134. Let i be z(-3). Let f = -5549\/8 + i. Put -38, -1, f in decreasing order.\nAnswer: f, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 222122003111?\nAnswer: -222122003113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16, 56, 128, 238, 392, 596, 856, 1178?\nAnswer: 1568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 196232711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 51*t**2 - 31*t + 221. Does 26 divide a(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 177*i + 182*i - 359*i + 774*i**3.\nAnswer: 774*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 62 * -75\nAnswer: -4650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(6\/(-4) + 2). Suppose 5*s = 11 - 6. Sort -2, s, u, -4 in descending order.\nAnswer: u, s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 89261?  (a) -3  (b) 0.01  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (1*sqrt(209)*6)\/(-1*sqrt(11)*2))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -424, -1659, -3698, -6541?\nAnswer: -10188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18517 and 574027.\nAnswer: 574027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31 and 1434091.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/112 and -79\/20.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 1\/4 of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -16e (base 15) in base 14?\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5487)\/186)\/(1\/(-18)*-9).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 14*g. Let c(v) = -v. Let o(r) = 7*c(r) + w(r). Let d(b) = -5*b**2. Give d(o(s)).\nAnswer: -245*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 180 = 13*w - 184 + 351. Let t(n) = -4*n + 4*n + 3*n - 6*n**2 - 1. What is t(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f - 16. Give l(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -4*z**3 + 8*z**2 - 3. Let a(k) = -3*k**3 + 9*k**2 - 4. Let n(b) = 3*a(b) - 2*y(b). Determine n(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 32103\nAnswer: 32107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1190.761 to the nearest 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 + 17091*b**2 - 32455809*b + 20544527097.\nAnswer: -3*(b - 1899)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:12 AM and 1:04 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 6) in base 9?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 590.0706 or -0.147?\nAnswer: 590.0706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**16\/(n*n*n\/n**24*n*n) assuming n is positive.\nAnswer: n**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16547*u + 5326*u - 15774*u + 237800 = -2704655 for u.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 - 22*p**2 + 44*p + 20. Give c(19).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -6 - (-29 - -22)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**3 + 61*o**2 - 13*o + 115. Let l be r(-61). Are l and 909 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7282*i*x**2 + 3*i*x + 98823*i - 4*x**2 + 2 wrt x.\nAnswer: 14564*i*x + 3*i - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11917 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 144\/30 + (-1)\/(-5). Suppose 2*w + 2*h - 44 = 0, k*h + 18 = 3*w - 32. Calculate the highest common factor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 11*l**2. Let n(g) be the second derivative of 71*g**4\/2 - g - 258. Give n(h(w)).\nAnswer: 51546*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -244.5155 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**2 - 4*z - 11. Suppose -v + 5 = -1. Let y be b(v). Differentiate -2 + 8*i**2 - 7 + y - 2 with respect to i.\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11.61 - 2\nAnswer: 9.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-139018)\/3479 - 18\/441.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*h**3 - 5*h**3 + 11*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ri when two letters picked without replacement from {i: 4, s: 3, r: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**3\/2 - 14*d. Let g(z) = -2*z**2. Give g(x(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62, -64, -66?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 39, 78, 117, 156, 195, 234?\n\"Answer: 39*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*q**2*w**2 - 11*q**2*w - 10*q**2 - 3*q*w**5 wrt w.\nAnswer: -12*q**2 - 60*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/25 of a millimeter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 155, 148, 135, 116, 91, 60, 23?\n\"Answer: -3*p**2 + 2*p + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.41576ng in tonnes?\nAnswer: 0.00000000000008541576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 1 + 3)*(3*s**2 - 5*s**2 + 3*s**4 - 6*s**2).\nAnswer: -6*s**4 + 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-13)\/(1 - 0))\/(-1). Find the second derivative of -g*b**3 + 11*b**3 - 394*b + 76*b**2 + 139*b + 15*b**2 wrt b.\nAnswer: -12*b + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/57 - -23\/114. Let h(t) = -t**2 - 12*t. Let i be h(-12). Suppose i = m + 3 - 1. What is the third biggest value in -1\/4, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2404)\/1206 + 2 + 0. Let j = -56167\/13266 + l. What is the common denominator of (-1)\/(-4) + (-11)\/4 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5 + 4*k**3 + 2*k**2 - 3*k - 2.\nAnswer: -(k - 2)*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -270, -4\/5, 10, 5\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 65 + -55. Suppose -x*v + 153 = -527. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*sqrt(8)*-3 - (sqrt(32) + (1 + sqrt(512))**2 + sqrt(32) + (-2*sqrt(192))\/sqrt(6)).\nAnswer: -513 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -21, 2, -42939.\nAnswer: -42939, -21, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 219292563 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 16 = -4*s, k + s = -k + 11. Solve 4*l + 2*c + 3 = k*c, -5*l + 10 = -c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000054911061 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**2\/7 - 2138*u\/7 + 48004\/7 = 0.\nAnswer: -1091, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 89469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 338664960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6 + -9. Let l be (-2)\/(-6) - (-4)\/f. Let n(t) = -t**3 + t**2 + 0*t**2 - 1 - t - 2*t**3. Determine n(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, 34, 4 in decreasing order.\nAnswer: 34, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 547693350 and 1095386697\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -23007*5\nAnswer: -115035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -110*b*k**2*y**2 - 3083*b*k**2*y - 234459*b*k**2 - b wrt y.\nAnswer: -220*b*k**2*y - 3083*b*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -5*w**2 - 1. Let v(j) be the second derivative of -j**4\/3 - j**2\/2 - 14*j. Calculate 2*f(z) - 3*v(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = c - 12317, -5*n = -36*c + 33*c - 61625. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 166, -9, -680, -2045, -4302, -7649, -12284, -18405?\nAnswer: -26210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the third derivative of 7\/15*q**6 + 0*q**4 + 17\/2*q**3 + 0 - 61*q**2 + 0*q**5 + 0*q. Find the first derivative of s(c) wrt c.\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 + -6 + 4 + 1 + -1050 + 1054\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11436211 (base 7) in base 9?\nAnswer: 1821124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 0, 4, -14.\nAnswer: -14, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + ca292b?\nAnswer: ca2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -8*a + 6. Suppose -2*h = -a*v + 2, 5*h + 1 = -v + 5*v. Suppose -3*y + y + 28 = g, 0 = v*g - 8. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*y**2 + 28 + 48 - 4 + 43 in the form d*y + z + x*y**2 and give z.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + -222110214?\nAnswer: -222110224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 6, c: 7}. What is prob of picking 3 c and 1 d?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -g**5\/60 + 9*g**4\/8 - 16*g**3\/3 - 254*g**2. Give u(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -465*u + 463*u + 38*u**3 - 291*u**3 + (2*u - 3*u + 0*u)*(u - 2*u**2 - u).\nAnswer: -251*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 8 - 12. Let c = g + 11. Suppose -3*m - c = -28. Calculate the remainder when m is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + 1 - 1 - (6 - 11). Let k be (-1)\/(-4)*b - (-1401)\/3. Suppose 6*f + k = 1500. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 43*s**4 - 5*s**2 - s**2 - 36*s**4 wrt s.\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1\/5))**(3\/25)*(g**(-5))**(1\/5) assuming g is positive.\nAnswer: g**(-128\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -aa - 158d5?\nAnswer: -159a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141 + 124. Let s = -87\/5 - v. Let n = 2 + -2.1. Which is the closest to s?  (a) -1  (b) n  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 849 and 10?\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 - (-5 - -9 - 13). Let t = 0 - -3. Solve m = t*k - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 14*t = 8 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 82 + (9 + -1 - (-36 - -43 - 18))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -16*s**2. Let m(r) be the second derivative of -7*r**4\/12 - r + 170. What is t(m(l))?\nAnswer: -784*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-65)\/2340*908 + (34 - 8).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5301708 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -12*y**3 - 2*y**2 - 8*y + 9. Let t be v(1). Which is smaller: -16 or t?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1459*f**2 - 7*f + 7*f.\nAnswer: 1459*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -723 - 246 = -17*l + 1513. What is the remainder when l is divided by 67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z**3 + 26956*z**2 + 296128*z + 645888 = 0. Calculate z.\nAnswer: -6728, -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 3\/5 of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 945454 to the power of 1\/2, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 94268  (b) -5  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -3*j - 1, -2*j - 4 - 5 = 3*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m = -15. Let y be 4\/(-10) - (-22)\/m. Suppose -4348 = -y*g - 0*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-150)\/(-56) + 4\/(-16). Suppose 27*g = 29*g - 4*p - 22, 2*g + 2*p = 4. Suppose 6*a = m + 2*a + 15, g*m = -3*a + 17. Do j and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b + 35 = -25 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 420569.016 + 75869?\nAnswer: 496438.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21*a**2 + 5*a + 105 wrt a.\nAnswer: -42*a + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 458 - 395b2?\nAnswer: -39158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 139*z**4 + z**2 - 102*z**4 - z - 4*z + 4 + 4*z - 3 in the form r*z + v + j*z**3 + q*z**4 + c*z**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d. Let x(l) = -7*l**3 + l**2 + 5*l - 1. Let n(f) = -4*q(f) - x(f). Let t be n(1). List the prime factors of (-156)\/(-8) - (-3)\/t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 3*v**2 - 2. Let m be t(-4). Let f = m + 38. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2071688 to the nearest integer?\nAnswer: 1439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 8:23 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4207, -4178, -4149?\n\"Answer: 29*h - 4236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/22)\/(69\/253)*69*-1?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/11, 3\/26, -1, 1\/2, -2\/7 in increasing order.\nAnswer: -1, -2\/7, 1\/11, 3\/26, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -194*c + 2587. Calculate m(13).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 + 4. Let u = 3\/29 - -20\/87. Which is the nearest to u?  (a) o  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -3 - 22. Let m(p) = p**2 - 12*p + 16. Let h be m(11). Put -15, h, j in decreasing order.\nAnswer: h, j, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.02 and 1.8363?\nAnswer: 1.8563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1394 and 78370?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -149\/5 in -3, 3\/7, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -14*u**3 - 2*u**2 - u + 2. What is f(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -1, 5, 6 in ascending order.\nAnswer: -1, 5, 6, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) 1\/11  (b) -1  (c) 0.3  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2646\/24 + ((-9)\/4 - -2). Suppose 0 = -5*a, -2*n - 3*a = -160 - w. What is the greatest common divisor of n and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 813 + -478. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.275 plus 0.4?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.06 - 0. Let d = 31.06 + j. Let p = d + -28. Which is the closest to 1?  (a) -2  (b) p  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r + 9*r + 6 = 0. Put r, 9, 0 in descending order.\nAnswer: 9, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 101 divide 9105763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 9356.725 years in millennia?\nAnswer: 9.356725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16*l**5 + 131*l + 141*l - 246*l wrt l?\nAnswer: -320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -54*t - 198 - 342. What is the hundreds digit of t + 7048\/6 - 12\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1000560 (base 14) in base 11?\nAnswer: 4283940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 d when two letters picked without replacement from cubbfdb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1183 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-3) + 1 + -87. Let b be 28\/154 + p\/44. Which is smaller: -3 or b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 175924 divided by 7?\nAnswer: 25132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 0 + (7 - 1) - 10 - (0 - 74).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from hihhggqgggggmhhigg.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -528097*m**2 - 19888 wrt m?\nAnswer: -1056194*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 7:20 AM?\nAnswer: 9:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 565 and 1130.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o + 9*o - 189. Suppose 5*x - 31 + o = 0. Solve -x*v**3 - 1\/2*v**4 - v - 5\/2*v**2 + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*h**2 + 18*h**2 - 5*h**2 in the form z + n*h + t*h**2 and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -10242\/15325 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v - 6*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 27775 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 120936, 483631, 1088108, 1934361, 3022384?\nAnswer: 4352171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*z = -10. Suppose 3*b = -y + 8*b - 37, -5*y - 2*b = 77. Let f = z - y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + 1. Let o = h - 9. Suppose 3*y = -u - 4, u - 2*y - o = 5. Solve -u*l = -l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66*(-50)\/55000*(-4)\/(-18)*-3\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 142 - -4?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b - 2*b**2 - b + 2*b. Let l(c) be the second derivative of 2*c + 0*c**3 + 0 - 1\/3*c**4 + 0*c**2. Give h(l(s)).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 7*m**2 + m**3 + 0*m**2 + 2 - 2*m**2. Let i be y(-3). List the prime factors of -3 - (3 + i\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -78*i**3*l + 26*i**3 + 4*i**2*l + i**2 - 389*i*l + 726*i + 3 wrt l.\nAnswer: -78*i**3 + 4*i**2 - 389*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 56 and 11208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*k - 28*k - 147. Let q(s) = -52664*s + 56. Let d be q(k). Round d to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(99)*-2 + -4 - sqrt(99))*3 - (-1 + (sqrt(99) + 1)*-6)))*-1.\nAnswer: 7 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*2 - sqrt(171))\/sqrt(9))**2*-2.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7*((-152)\/(-7) + -2) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dyy when three letters picked without replacement from ydddddyddddddydddyd.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p + 12. Let g be l(4). Which is greater: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(-2)\/42 + 594\/63.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (2 - 5) - -4. Calculate the greatest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426686164?\nAnswer: 2, 29, 1783, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*j + j + 2*h, 4*h = 2*j - 20. Let a = -8 - -14. Solve -r + t + 0*t = -j, 0 = 3*t + a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 8:16 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 312 + 95 = -41*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -17 + 26. Suppose 0 = w + 4*i + 13, 2*w + 0*w = -i + z. Suppose 0 = 4*b + x - 11, 0 = 4*b + 3*x - 10 + 1. Solve s - w = 2*s + q, -2*s - 4 = -b*q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 316, 320, 320, 316, 308?\n\"Answer: -2*j**2 + 10*j + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 25 = 5*y, 3*y - 3*a - 6 = 9. Suppose -o = -3*g - 28, 3*o + 3*g + 67 = 7*o. Let b = y + o. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -30, 1\/8, -0.1?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 14 + -10251243?\nAnswer: -10251227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309138 is divided by 1415?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 3*o**3 + o**2 + o. Let y = -1070 + 1067. Let x(q) = -q**3 - q**2 - q. Give y*x(p) - 3*z(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - r - 3*r. Let o(p) = -15*p**2. Let t(w) = 8*w**2. Let q(n) = n**3 - n**2 - 3*n. Let z be q(3). Let h(l) = z*t(l) + 5*o(l). Give h(v(u)).\nAnswer: -27*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - (1*sqrt(104) + sqrt(104))))*4)\/((1*sqrt(96))\/sqrt(12)).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1435 = -36*d + 755 + 788. Let a = -3 + 18. What is the highest common divisor of d and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -124*i = 2089 + 1011 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3597, 14361, 32291, 57387, 89649, 129077, 175671?\n\"Answer: 3583*y**2 + 15*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 4*n**2 - n + 1. Let k(t) = -3*t**2 + 2*t - 2. Let l(o) = 5*k(o) + 4*y(o). Let f be l(-6). What are the prime factors of 0 - (1 - f)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + t - 5 = -3, 1 = 4*d + t. Let r(h) = 2*h - 1. Let v(o) = -106*o + 14. Let g(z) = d*r(z) + v(z). Find the first derivative of g(i) wrt i.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + d**2. Let q(a) = 4*a**3 + 4*a**2 - 2*a. Let c(g) = 10*g + 59. Let j be c(-6). Determine j*q(v) + 3*t(v).\nAnswer: -v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 525\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**2 - 9*f + 8. Let t be n(2). Let d be 122\/5 + 12\/20. Let y = d + t. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 8*i**2 + 6*i - 5. Let z(s) = 9*s**2 + 7*s - 5. Determine 7*n(o) - 6*z(o).\nAnswer: 2*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1025 + 65103?\nAnswer: 66131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 q when three letters picked without replacement from hqhhhhqqhq?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -346c4 (base 15) to base 13\nAnswer: -5ac82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 2*s - 2*v - 66, 0 = 2*s + 2*v - 36. Suppose s*p = 18*p - 264. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/30 + 83034\/3780.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + -30. Let y = 12 + n. Let h = y - -20. Put h, 5, 0.3 in descending order.\nAnswer: 5, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 20 + -18. Let u = g - 6. Let s = -1.9 + 2. Put u, 0, s in decreasing order.\nAnswer: s, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 2*y**5 - 62418*y**4 + 486844764*y**3 + 2435597188*y**2 + 1462032546*y - 4384412082 = 0.\nAnswer: -3, 1, 15607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 15840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*24\/1872 - (-4)\/(-26).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6*(-12)\/18 - -7. Solve -4 - 11 = -w*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 2*r + 6 = 0, 5*s + 20*r - 3*r = 105 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*h**2 + 5*h**2 + 0*h**2)*(67*h**2 - 36*h**2 - 52*h**2) to the form f*h**4 + g*h**2 + z*h**3 + n + b*h and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 3*w + 13. Let v be i(7). Which is smaller: -114 or v?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/169 and 48\/5.\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 2490, 2488, 2490, 2490, 2482?\n\"Answer: -m**3 + 8*m**2 - 19*m + 2502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 4654.475 centuries?\nAnswer: 465.4475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4206*((-2397)\/(-204) - (-1)\/(-12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104 = -41*f + 142. What is the remainder when 352 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156\/117 + 76\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5770)\/(-45) - (-4)\/(-18). Suppose -6*z + 64 = -2*z. What is the highest common divisor of z and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*q**3 - 865*q**2 - 1554*q - 32 = 0. What is q?\nAnswer: -16, -2, -1\/48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-372)\/(-40) - (138\/60 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 3) + 0 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 116951 is divided by 8256?\nAnswer: 1367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 254743.\nAnswer: 269, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*f + 50*f - 73*f**2 + 139*f**2 - 68*f**2 - 2 as h*f + c + t*f**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1387 + -722. What are the prime factors of v?\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*((2 - -4) + -31 + (-8692)\/(-369))?\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -f**7\/280 + f**6\/40 - f**4\/2 + 11*f**3\/3 + 11. Let a(v) be the third derivative of g(v). Solve a(c) = 0 for c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -142, -287, -418, -529, -614?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 6:17 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + i = z + 75, 3*z + 115 = 2*i. Let r = -28 - z. Let c(n) = -n**3 + 8*n**2 - 5*n + 8. What are the prime factors of c(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g - 1. Let p(z) = -10*z. Let t(c) = -p(c) + 6*v(c). Suppose -2*x = -0*x - 10. What are the prime factors of t(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 3*q - 3*q + 2*q. Let t be (1 - 4)\/((-6)\/4). Let l(n) = 0*n**2 - 5*n**2 + 0*n**t + 7*n**2. Calculate l(a(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t + 41. Let l be v(12). Suppose -3 = -2*o - l. Let z(d) = -2*d**2 + 7*d + 3. Let y(x) = 2*x**2 - 6*x - 3. Determine o*y(g) - 6*z(g).\nAnswer: -2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 293*t + 289*t + 26853, 5*d - 3*t = 134311. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 7:36 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 101 = 5*r - 44, 5*r = -3*v + 87. Suppose -5*m + x = -570, -2*m - 2*m = 3*x - 437. Calculate the remainder when m is divided by v.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 279 - 2001 = 0. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303377423 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -22326\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(5\/3 + ((-12166)\/(-357))\/(-22))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 8) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 29 = -5*r, 6*m - 3*m + 5 = -r. Let p = 14 - -14. Solve -p = 5*x - r*n, -3*x + 4*x + 10 = 3*n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + d + 5. Let i be w(0). Solve i = -m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 12*a**3 + 20*a + 20. Let b(j) = j**3 + j + 1. What is 40*b(p) - 2*g(p)?\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.4957345kg?\nAnswer: 495734500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 - 2*z**2 + 2*z + 6. What are the prime factors of b(3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from wngbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -105042 - 2?\nAnswer: -105044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (7 + (6 - 13)) - 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/6)\/(16\/(-12)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 + -13 - -37) + -27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 242804 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 6*p + 105. Let f be y(-19). Let v be f\/30*(24\/(-9) + 1). What is z in 0*z**4 + 2\/3*z**3 - 1\/6*z**5 - 1\/3*z**2 - v*z + 1\/3 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -112.0516 to 0 decimal places.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p + 3*p + 7*p - 3*p - 4*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -315 divided by 5?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 440790000 to the nearest one million.\nAnswer: 441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17.7 + 18. Let g = 0.3000011 - a. What is g rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -10043.\nAnswer: 1\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 301694329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + 36 + (1 - 9) - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -22, -41, -44, -25, 22, 103, 224?\n\"Answer: a**3 + 2*a**2 - 32*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -1\/24*x**6 + 0 + 0*x - 4\/3*x**3 + 0*x**5 + 5*x**2 + 0*x**4. Find the first derivative of v(t) wrt t.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*g = 9*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64969 is divided by 50?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that o**5\/3 - 88*o**4\/3 + 386*o**3 + 12648*o**2 - 13005*o = 0.\nAnswer: -15, 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**3*j*j**3\/j)**(-20) assuming j is positive.\nAnswer: j**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -376 - -380. Suppose 26 = 2*w - 2*z, 3*w - 2*z = 27 + 11. Which is the biggest value?  (a) -5  (b) w  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 255338*q**2 - 12*q + 11. Let o be c(-14). Let l = -25546435 + o. Suppose 5*n = 2*y - 4*y + l, 4*y = -5*n + 24499984. Round n to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.7653 + -339.4653. What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1060 - 1058. Solve 9 = -h*s + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -4*u + u - u**2 - 5 + 5 + 8. What is d(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(6*(-42)\/(-504)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 24.83 and -2555773?\nAnswer: 2555797.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 10921 or 10923?\nAnswer: 10923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2783 + 2781. Put o, -1\/7, 0.0274 in descending order.\nAnswer: 0.0274, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from oooeyoooyoyooyooyoso.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 132\/2750*130\/78.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2*m + 2*m - 22 = 0, 5*f + 7 = -2*m. Let p(l) = l**2 + 3*l. Calculate p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.065, 2\/87, -1.4 in ascending order.\nAnswer: -1.4, -0.065, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.1*933.9\nAnswer: -93.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -89 + 3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.05 and -7106662.\nAnswer: 355333.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11249 + 33746\/3. What is the fifth smallest value in 0.2, j, 1, 1.5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3068577*c - 3068752*c = 9275 for c.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 + 113*t**2 - 9822*t + 1044105. Determine n(110).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from leegggj. What is prob of sequence lgj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 350 + 565*p + 154*p - 35*p - 49 - 94*p wrt p.\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/4)\/(33*10\/(-770)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 7*p = 55. What is the remainder when p is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 4*j**2 + 28*j + 206. Calculate p(-8).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.489*7022.\nAnswer: -3433.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 877763 or 877748?\nAnswer: 877748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1295 = -195*b - 1435 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78360 and 39180.\nAnswer: 78360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 69 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 0.2, -3\/38, 3\/196, 2\/9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4975079 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 2*r**2 - 3*r + 7. Let j be 2 - 5\/(2 - 7). What is the lowest common multiple of n(j) and (-183)\/(-9) - (-1)\/(-3)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 460*y**4 + 10321 - 10321 + (6*y**4 - 3*y**2 + 3*y**2)*(0 + 4 - 3) to the form t*y + p + f*y**3 + s*y**2 + h*y**4 and give h.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/349 + 22679\/1047. Let o be (3 - -8)\/((-1)\/2). Let t = o + v. Sort t, -5, 0.1 in descending order.\nAnswer: 0.1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*c = -16*c + 2568000. What is c rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -5*l + 5. Does 5 divide t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/525, -151, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -77*m - 1225. Give z(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 853965.\nAnswer: 3, 5, 7, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 398*a + 48911. Give j(-124).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 37198995 + -11?\nAnswer: 37198984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -279.01 + 272.01. Which is smaller: v or -826?\nAnswer: -826","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (16675\/60)\/29 - 5. Let g(o) be the second derivative of 5\/2*o**3 + 5\/6*o**6 + 13\/4*o**5 + 0 + 0*o**2 + c*o**4 + o. Determine w, given that g(w) = 0.\nAnswer: -1, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2)*q*q**(2\/19)\/q)\/((q*q**(-3))\/(q\/q**(3\/8))) assuming q is positive.\nAnswer: q**(491\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 51749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t**3 + 5*t**3 - 4*t**3)*(-2 - 4 - 3).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92526 divided by 7.\nAnswer: 13218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 426184580 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2779, -2742, -2707, -2674, -2643?\n\"Answer: -n**2 + 40*n - 2818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14330 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -3, -2, -6, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23843800?\nAnswer: 2, 5, 29, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2 - 4*j + 1. Let d(m) = -7*m**2 - 11*m + 2. What is -3*d(r) + 8*k(r)?\nAnswer: 5*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 - 39. Suppose -12 = -c*h - 3*h. Suppose -3*q - 5*t = -18, -h*q + 2*t = -3*q + 7. Which is greater: -1\/75 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 100163*m**2*u**2 - 414*u**2 + 8*u - 11 wrt m.\nAnswer: 200326*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.343 + 223.343. Let d = -222.9604 + k. What is d rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/164693 or -1?\nAnswer: 4\/164693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3724\/(-19551))\/(2\/7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53 - -49. Let h = r - -3.99999795. What is h rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 8:11 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 7460.\nAnswer: -7459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33 - -25) + 28 + (-31 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2837.47 + -2837. Which is the smallest value?  (a) 5\/6  (b) -5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = 32*g - 17*g - 19*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 - 5*i**2 - 3*i - 3. Let n(r) = 4*r**3 - 14*r**2 - 8*r - 8. Calculate -3*n(u) + 8*v(u).\nAnswer: -4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 224 and 84?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 2*z - 4 - 10, 2*z = m - 16. Let w = -6 + m. Suppose -20 = -2*d + 2*o, 3*d + 2*d - o - 58 = w. Solve 2*p + 2*p + d = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34168*b = 33896*b + 1632 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (25\/(1400\/(-1792)))\/(-112).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19370835*o**2 - 2*o - 19370822*o**2 + 2*o.\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0\/(5*14\/(-280)*4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28162 is divided by 6974.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 86394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*i**2 + 4*i.\nAnswer: 2*i*(7*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 7128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -3*f - 2*f - 26, -10 = -3*a - f. Suppose -2*m - a*s = -26, 0*m - m + 6 = -5*s. What is the greatest common divisor of m and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/28*126\/12\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fttthfthfftf. What is prob of picking 1 h and 2 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 + r**2 + 24*r - 47. Determine h(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, r: 2, z: 1, h: 1}. What is prob of picking 1 r, 2 i, and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101 + -100100010011111011?\nAnswer: -100100010100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**2 - 39*t. Let n(g) = 447*g + 103. Determine n(y(p)).\nAnswer: 894*p**2 - 17433*p + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -23, -229, 37 in increasing order.\nAnswer: -229, -23, -5, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/102 and -37\/748.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.1 - -3.89. Let c = -0.19 + j. Let g = -0.1 + 0. What is the nearest to g in -5, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -16*p - 78. What is a(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o**2 - 6*o - 11. Let s(v) = -5*v**2 - 18*v - 32. Let h(d) = 3*s(d) - 8*z(d). Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 6*t - 21. Let y be k(-10). What is the common denominator of 11\/13 and (y\/(-54))\/((-3)\/55)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -i**4\/7 + 21008*i**3\/7 - 108084696*i**2\/7 - 23626857280*i\/7 - 1264860115600\/7 = 0.\nAnswer: -106, 10610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -16*h**2 - 92*h**2 + h**3 + 192*h**2 - 13*h - 90*h**2 - 13. Calculate r(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -130 - -238. Let z = p - 106. Suppose -z*c + 5*o = -305, -2*o + 486 = c + 2*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/9648 - -3217\/9648. What is the nearest to -113 in 0.1, -1.3, b?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 141 - -74. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 2601?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(5) + -5 + sqrt(45)\/(sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9)))*5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 18311385 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.07?  (a) 0.1  (b) -8  (c) 0.2  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -10*m**2 + 2*m. Let v(s) = -9*s**2 + 2*s. Determine 4*g(l) - 3*v(l).\nAnswer: -13*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 136610 = 372*p - 377*p, -2*p = 2*u - 68332. Does 40 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1900\/1140)\/(-16 - -1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 0*p - 3\/4*p**2 = 0. What is p?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -37*y**2 - 15*y + 36. Let k(t) = -4*t**2 - t + 1. Let u(m) = -18*k(m) + 2*l(m). Give u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13946*l - 26189*l + 13196*l)*(-l**4 + 4*l**4 - l**4).\nAnswer: 1906*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 3\/4  (b) -0.3  (c) -4  (d) -2\/21  (e) -3\/356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 + 3.01. Let w = n + 0.99. Sort w, -1\/8, 1\/7 in descending order.\nAnswer: w, 1\/7, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n. Let p(b) = -9449*b**2. What is s(p(x))?\nAnswer: 9449*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 3438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1\/3, 6\/2069, -2, 3 in descending order.\nAnswer: 3, 6\/2069, 0, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 41*h + 17*h + 290 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 0*g**3 + 2*g + g**3 + 8*g**2 + 5*g. Let a be t(-7). Let k = 3 - a. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100001110 - -101?\nAnswer: -100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 112209627.\nAnswer: 3, 157, 238237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -43*y**2 + 9*y. Let c(g) = 351*g. Calculate k(c(d)).\nAnswer: -5297643*d**2 + 3159*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 312 and 905034.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14\/1707 - -855179\/3414. Let h = -253 + y. Sort -5, 5\/4, h, -8 in increasing order.\nAnswer: -8, -5, h, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2219058?\nAnswer: 2, 3, 43, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000439926 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the third derivative of -b**6\/24 + b**5\/60 + b**4\/24 + 5*b**3\/6 + 24*b**2. What is the hundreds digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**2 - 5876 + 4*j**4 + 5886 + 3*j**4 - 34*j**4 wrt j.\nAnswer: -648*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1432431 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78632 is divided by 216?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2548743072+2382\nAnswer: -2548740690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 315, 0, -3.\nAnswer: -3, 0, 315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*g + 44*g - 8*g + 26*g.\nAnswer: 49*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147 - 348 = -9*z. What is the remainder when z is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14634)\/(-431703))\/(2\/(-5959))\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**3 - z**2 + 3. Let x be t(0). Suppose 0 = -x*n + 5*h + 405, -5*h - 41 - 229 = -2*n. Let w = 246 - n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*h**4 + 3*h**4 - h**4)*(-21*h - 14798 + 54*h + 14800).\nAnswer: 66*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 2 = -z. Suppose v = 3*a + 1 - 2, z = -v. What is a rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -5*n**3 + 1199*n**2 - 4713*n + 2. What is s(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 37078681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 345*w - 271*w - 18870. What is the remainder when w is divided by 136?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i + 3*k - 3, 9*i + 2*k - 2 = 4*i. Let x = 1 - 1. Let r be ((-15)\/(-6) + -2)*x. Is i greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the third derivative of -p**8\/560 - 179*p**7\/350 - 1197*p**6\/20 - 7047*p**5\/2 - 747225*p**4\/8 + 820125*p**3\/2 + 471*p**2. Factor d(b).\nAnswer: -3*(b - 1)*(b + 45)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 23 - 215 = 0. Let t = d - -113. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of p**2\/2 + 16*p + 23. What is the first derivative of l(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 63 + 23 + -44 + 25 + 23.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*j = 0, 0 = -7*k + 3*k - 3*j. Suppose k = 4*d - 12 - 52. Calculate the smallest common multiple of 46 and d.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 824023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/(-2)*(-65)\/(-13))\/1. What is the common denominator of (-4)\/(2 - (-8)\/(-10)) and 4 + (-824)\/420 + (-4)\/i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.132 + -285.132. Let j = -371.7 - l. What is j rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (74 - 68) + (-5 - (0 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/6)\/((-3)\/747). Suppose 5*v = s + 17. What is the remainder when v is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 133, -1.\nAnswer: -5, -1, 2, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(2\/(-16)) - (-48)\/6. Solve -d - 44 + 37 = a for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/799204 and 71\/140.\nAnswer: 3996020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3717 + 3720. Let x(u) = -28*u + 8. Give x(g).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:32 AM and 6:58 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j**3 + 9*j**2 - 3*j + 12. Let a be f(8). Calculate the highest common divisor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, 2, 12 in decreasing order.\nAnswer: 12, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 326113 or 326114?\nAnswer: 326114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2.34, -0.3, -0.04, 6, -3\/4?\nAnswer: 2.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*d + 34 - 9*d + 8 - 17*d.\nAnswer: -31*d + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(10\/19))\/(u**(-12)\/u) assuming u is positive.\nAnswer: u**(256\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 - (-7 + 12 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -4*y + 169 - 65, -3*t = -5*y - 94. Suppose 0*g + 5*n - t = g, -g + 7 = 2*n. What are the prime factors of -8*3\/(-72) - 221\/g?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136 = 4*l - 156 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -4*u. Suppose -4 = 5*s - u*s - 3*b, 0 = -3*b + 9. Let k = 1 + s. Solve 0 = -k*v + 5*d + 7, -4*d = -d + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 5. Let r(y) = 147*y + 2503. Let o be r(-17). Determine t(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -0*h - 16. Suppose -w - w + h = 0. Suppose 218 = w*l - 142. Calculate the highest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139118.45 rounded to the nearest one hundred?\nAnswer: 139100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 15*y - 2803. Give f(179).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + -2 + 2)\/(-2). Suppose -4*x + 3*x = 4*s - 19, -5*s + 2*x + 27 = p. Let n = -1 + s. Solve n*w + 3 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 369, 272, 111, -114, -403?\nAnswer: -756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3146400 and 105165?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {o: 2, i: 2, g: 1, j: 2, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 17 - 8. Suppose -3*x - 258 = -v*x. Calculate the least common multiple of ((-6)\/(-7))\/((-6)\/(-56)) and x.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of r**4\/24 - r**3\/3 + 4*r**2 - 84*r. Determine l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*h - 790*h + 3029 - 485 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5*v + 5. Let n = -1352 + 1346. Let b(c) = -c - 1. Determine n*m(f) - 34*b(f).\nAnswer: 4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*d + 1442, 0 = -5*f + 8 - 13. Let s = 479 + d. What is the highest common divisor of s and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 162557135*b**3 - 15*b**2 + 1642*b - 44 wrt b.\nAnswer: 975342810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 115.67 rounded to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 2 p when four letters picked without replacement from hppphhhhhphp.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 - 9 + 45*k + 44*k - 30*k.\nAnswer: 59*k - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -87 - -89 - (4 + (-1 - (-10 - -2)))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 6915, 10 in increasing order.\nAnswer: -3, 10, 6915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from pllprprl?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 17*t - 1. Let u be 27\/4 + (-1)\/(-4). Let f be n(u). Let h = f + -80. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3910 = 4*n - 27*n. Suppose 5*o + 66 = r, -3*r + 0*o + o = -n. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 0*f + 1\/2*f**2 - 4. Let g(o) be the second derivative of o**3\/3 - 2*o. Calculate g(v(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 5*k + 25 = 0, 799*k = -u + 796*k - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 10 = -2*z. Are -0.4 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*b + 2*b + b + (2 - 4 + 1)*(-4*b + 5*b - 2*b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 646709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12883012 - 12883013.00000048. Let n = 0 + -1. Let b = n - j. What is b rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (-1 - -2) - (21 + -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence scz when three letters picked without replacement from {z: 1, r: 5, c: 2, s: 2, x: 1, k: 6}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 5:36 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and -21.5.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 10 = -3*n, -2*n + 6*n + 3*u + 15 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 38 - 22 = 0. Calculate the least common multiple of p and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-177 + 177 + 66*x)*(3 - 6 + 2) as s + g*x and give g.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 80299?\nAnswer: 59, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1010 + 1010.0069. Let r = -0.2069 + i. Which is the third biggest value?  (a) r  (b) 0.4  (c) 0.207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7400 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence es when two letters picked without replacement from {s: 7, g: 2, e: 9}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1629212*k + 1625611*k = 284479 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -4250?\nAnswer: 4254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1710143?\nAnswer: 821, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**1*m)**(-22\/7))**(-2\/11))**9 assuming m is positive.\nAnswer: m**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 + 11*d. Let z be t(11). Let q(u) = -2*u. Let a be q(z). Suppose y - 319 = -a*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-26)*k)\/(k\/k**(-1\/19))*(k*k\/k**11*k)**(-4\/15))**(3\/5) assuming k is positive.\nAnswer: k**(-6532\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 56, -0.5, -26, -0.1?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 111\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 15*t**2\/4 - 1409927*t\/4 + 93995\/2 = 0. Calculate t.\nAnswer: 2\/15, 93995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*f - 12*f - 3*f**5 - f**5 + 0*f**4 + 0*f**4 + (2*f**2 + f**2 - 2*f**2)*(0*f**3 + 3*f**3 - f**3) + 1 - 2*f**5 - 1.\nAnswer: -4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10641, 42549, 95731, 170187, 265917, 382921, 521199?\nAnswer: 680751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 260*y - 8957. Determine n(36).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 137642340893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -4*r - 166, 0*r + 4*r + 3*s + 141 = 0. Let y be (1214\/(-12))\/((-3)\/r). Let q = -4018\/3 - y. Calculate the common denominator of q and 46\/19.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 20 = -5*z, 4*z - 12 = i + 3. Let p(h) = 7*h**2 - 6*h + 5. Let g(t) = -353*t**2 + 352*t**2 - 1 + t + 0. What is i*g(k) + p(k)?\nAnswer: 2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -15*n**2 - 6*n**2 + 24*n**2. Let t(i) be the first derivative of -10*i**3\/3 - 49. Calculate m(t(b)).\nAnswer: 300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**(-2\/15)\/o*o*o)*o**(1\/7))**(-11)*(o**(1\/6)\/(o*o**(1\/8)\/o))**(-7\/6) assuming o is positive.\nAnswer: o**(-15557\/5040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 88063874161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4256, -17129, -38616, -68717, -107432, -154761?\nAnswer: -210704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-174680)\/(-110))\/(8\/10). Sort 0, 4, -4, q.\nAnswer: -4, 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 362*i**2*p**2*q + 4*i**2*p*q - 5*i*p*q - 3*p**2*q + 5*p**2 wrt i.\nAnswer: 724*p**2*q + 8*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-4*(sqrt(832) - (sqrt(832) + -2)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 7*j**2 + 403*j - 806. What is m(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2 - 16)\/6)\/(6\/(-14)). Solve -5*t + 8 = -a for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 3452?\nAnswer: 3452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -364?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1959379 is divided by 48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 5)*(-3*l + 4*l - 4*l)*(-l + 5*l - 2*l) to y + m*l + w*l**2 and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(10)\/sqrt(98)*4.\nAnswer: -5 + 4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 708167?\nAnswer: 708165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -676*y - 1. Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:57 PM and 8:05 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -5399*v + 545. Is m(-5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 24, 34, 50, 72?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1816 + 550 = -6*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 g when four letters picked without replacement from {g: 8, f: 1, y: 3, p: 1, h: 1, m: 2}?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-162))\/(2*476\/(-510))?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.9 + 8.1. Let d = -11 + f. What is the closest to 0.1 in d, 1, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1, 68, 6, 2\/13, 0.291?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/2)\/((-2)\/4). Let i(q) = -q**3 + 3*q**2 + 3*q + 4. Let r be i(4). Let y(h) = r*h - h + 0*h + 2. Give y(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -31 - -53. Let j = 58 + g. Suppose -2*x + 34 = -4*p, -3*x + 5*p = -8*x + 115. What is the remainder when j is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24*190\/608*10\/3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 146399829 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 14*d - 22*d + 8*d + 8*d**2. Let q(p) = 2*p**2. Give q(u(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6968 and 728?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/4  (b) -362  (c) 1\/2  (d) -0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 1286892088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 734001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4283602683 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 51657141491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -347*f - 3121. Let j be m(-9). Let i be 56\/40 - (-6)\/10. Let -i*h**5 + 4\/3*h**4 + 0*h**j + 6*h**3 - 8\/3*h + 0 = 0. Calculate h.\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -156297 + 235425. Let l be o\/189*1\/(-6)*-1. Let j = -70 + l. Which is the nearest to -2?  (a) -5  (b) 2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1330154434?\nAnswer: 2, 7, 95011031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 393 and 87.\nAnswer: 11397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j**2*z**2 - 467*j**2*z + 18*j**2 + 1088*j - 7*z**2 + z wrt z?\nAnswer: 4*j**2*z - 467*j**2 - 14*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 5*b**2 - 2*b - 1. Let u be f(-1). Let j(r) = -4*r**3 - 3*r**2 - 5*r - 5. Let i be j(-2). Suppose -i = o - u*o. Solve 0*p = o*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes before 1:42 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 3. Let s(g) = g**3 - 6*g**2 + 2*g + 1. Determine s(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h - 1. Let j(i) = i**2 - 7*i - 10. Let g = -102 - -103. Let q(u) = g*j(u) - 2*w(u). Let y be q(-1). Solve -2 = -3*x - f - 3, 3*x + y*f = -2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 67 - 34. Suppose 0 = m - 4*m + f. Suppose 0 = -5*j - 20, -7*j + 3*j = -3*p + 73. What is the remainder when p is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8125 at most 8058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42088 = 9*l - 525110. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*-1*5 - -1. Suppose 5*k = 2*n - 13, -n + u*n = k + 21. Let t be k + 1 + 8*400. Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 11205, 22411, 33617, 44823, 56029, 67235?\n\"Answer: 11206*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -12, -5, -1\/20?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c + 0*t - 70 = -5*t, 3*c - t - 2 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1435372 is divided by 5437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let f be 346\/(-1965)*27\/(-6). Let a = 1\/131 + f. What is the third smallest value in a, -2\/5, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhjhiwjjhhhjjjjhw. Give prob of sequence hji.\nAnswer: 49\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 848487581.\nAnswer: 848487581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**3 - 652*b**2 + 17548*b + 31. What is i(25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 208 + -61. Suppose 5*b - d = 2*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 26 = -2*k, -k + 17409 = 51*w + 17107 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 0 + c**2 - 1 - c + 2*c. Let h be 6\/10 + 2\/5. Let i(k) = 7*k**2 + 6*k - 6. Give h*i(b) - 6*u(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*o - 2*o + 20*o)*(-1211*o + 597*o + 474*o) in the form f + t*o**2 + k*o and give t.\nAnswer: -3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b + 4*b. Let s = b - 0. Solve 4*z + 12 = -3*a - s, -2*z + 4 = -a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5\/9 - 416*n**4 - 214678*n**3\/9 - 1349672*n**2\/9 - 482912*n\/3 + 3016832\/9 = 0 for n.\nAnswer: -1813, -52, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 87 + -85. Let w(j) = -5*j**3 - 2*j + j**3 - 7 - 9*j**2 + 7*j**l + 1. Let h be w(-2). What is the greatest common divisor of 55 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 21*n**2 - 2*n + 12. Let s be h(21). Let j = -25 - s. Let i(u) = -4*u + 1. Let m(o) = 9*o - 2. Calculate j*i(g) + 2*m(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6294 is divided by 71?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6382*k*s*y**2 - 873*k*s*y + 2*k*s - 6115*s*y**2 + s + 38*y**2 wrt k?\nAnswer: 6382*s*y**2 - 873*s*y + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 16 = -4*b. Calculate the remainder when 4 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*w + 27*w = -75*w - 1833 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -19*t**3 + 2*t**2 - 16*t + 2. What is the tens digit of k(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4*6*2\/3 is divided by (88 - 87)*(-1 - (0 - 10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -740 - -1435. List the prime factors of s.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 30904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -3*o + 2, 27*s + 3*o = 26*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.01  (b) 0  (c) 1\/8  (d) 1  (e) 10053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d - 2 - 3 = 5*m, 0 = 3*m - 5*d + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 326663 divided by -1.\nAnswer: -326663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*i + 17 = -118 - 165 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000686 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1 + 0. Let y be -2 - 1\/(-4)*6. What is the closest to u in -3, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 17*u. Let y(j) = -6*j**2. Calculate o(y(c)).\nAnswer: -102*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7\/6?  (a) -6  (b) -15  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -47 + 36. Sort -16, 0.5, a in ascending order.\nAnswer: -16, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3216 and 18236?\nAnswer: 14661744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109 is divided by 66?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 13*s - 85. Let j be u(7). Let m = -36 + 57. What is the highest common factor of j and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 121082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 0 + 0 + (1 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 - 2*q + 5)*(-1459*q - 901*q - 3295*q) - 1 - 2*q**2 + 1 as b*q + h*q**2 + l and give h.\nAnswer: 11308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 21*r - 2 - 6*r + 12*r. Let t be h(2). Suppose 3*j + 7 - t = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:23 AM and 1:42 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2281*y**2 + 2*y - 2*y + 2287*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 11:54 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 6:53 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2923417805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(9072) + sqrt(9072)*2 + sqrt(9072))\/(sqrt(729)*-3).\nAnswer: -16*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3619769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -1971 + 1971 - o. Let t(l) = 10*l - 4. What is y(t(h))?\nAnswer: -10*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/9 - 21\/(-9). What is the third derivative of -5*r**5 - 13*r**2 - r**5 + y*r**5 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 - -0.4. Let u = f + -1.2. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 - 1. Let t(r) = -3*r**2 - 15*r + 2. Let w be ((-12)\/(-18) + 0)*-3. Let o(d) = w*f(d) - t(d). Factor o(l).\nAnswer: 5*l*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1399*f**3 + 66*f**2 + 3*f?\nAnswer: 8394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -4*v + 63. Give l(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 105 = 4*h. Suppose -h*p - 24388 = -14*p. Is (2\/4)\/((-14)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r - 2*x + 28, -2*r = -193*x + 194*x - 12. Let y(d) be the first derivative of 1 + 2\/9*d**3 + 1\/6*d**r - 2\/3*d**2 + 0*d. Solve y(i) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 3122?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u + 820 = -51*u. Let l(i) = -5*i**3 + 20*i**2 - 20*i - 20. Let g(y) = y**2 - y - 1. What is u*g(k) + l(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 + 6*a + 18. Let i be c(-6). Suppose -101 + 695 = i*o. Calculate the remainder when 193 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, 18, 0, -2, 4\/5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p = -0*p + 3*v - 9, 0 = -5*p + 2*v + 5. Suppose -3*x + n - p = 0, 2 + 9 = 2*x - 5*n. Sort -5, x, -11 in descending order.\nAnswer: x, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/78)\/(2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mrrr when four letters picked without replacement from rrrrrmrrrrrrrrrrrrrr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -28 + 55\/2. Let s = 6.1 + 1.9. Let m = -7.7 + s. Which is the smallest value?  (a) m  (b) -4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m\/(m*m\/m**(-12)*m))*m**0*m*(m\/((m**0\/m)\/m))**(-27) assuming m is positive.\nAnswer: m**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100 is divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11233221 - 2?\nAnswer: 11233213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-6)\/(-585)*1407\/1204. Let z = 5\/86 - g. Is z < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 566  (b) -1  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.546 + 0.08\nAnswer: 0.626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of z**7\/70 + z**6\/120 - 547*z**5\/60 + 27*z**4\/8 - 2*z**3 + 5068*z**2. Find the second derivative of b(t) wrt t.\nAnswer: 36*t**2 + 6*t - 1094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*o**4 + 60706*o**2 + o + 2355633 wrt o.\nAnswer: -8*o**3 + 121412*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5 + (-3 - -2 - 1). Find the second derivative of -3*w**3 + w - 6*w**3 + 6*w**z wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b5 (base 13) in base 14?\nAnswer: -26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1208)\/990 - 553\/((-583415)\/1266)?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41.69139 litres to millilitres.\nAnswer: 41691.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 31 + -35. Suppose 39 = -9*j - 177. Let l = -1.3 - -0.3. What is the closest to l in j, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 + 16*g**2 - 15*g + 6. Let t be i(15). Calculate the remainder when ((2 - 4) + 24)*t\/4 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = a - 3. Let c = 0 - 0. Let f be (-7 + (-217)\/(-35))*-10 - 4. Sort a, c, f.\nAnswer: a, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -21*j**3 + 19*j**2 + 3*j + 10. Let z(o) = 17*o**3 - 17*o**2 - 2*o - 11. Let m(w) = 4*p(w) + 5*z(w). Determine m(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.07 + -16. Let c = m + 33.93. Let g = 34.000066 - c. Round g to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c - 5*c**2 + 4*c**2 + 3*c + (1380*c + 855*c - 608*c)*(-4*c + 3*c + 0*c).\nAnswer: -1628*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1*(-5)\/((-2504)\/(-424) - 6) and 15.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6056491.6 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x\/((x*x*(x\/((x*x\/x**0)\/x)*x)\/x)\/x))*x**(2\/11))**2)**(4\/9) assuming x is positive.\nAnswer: x**(64\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -5167202?\nAnswer: -2583601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 1504.28958 to one dp.\nAnswer: 1504.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40.5 + -7.5. Let b = l - 32. Which is smaller: b or 25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 3*z + 17. Let i be n(-5). Differentiate 12*s**2 - 8*s**3 - 8*s**i - 1 - 4*s**2 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 602812380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1782 - 7*z - 1782.\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 1)\/(8 + -9). Let a be 4*30\/4 - q. Suppose 5*m - 129 - 31 = 5*z, -2*m - 5*z + a = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**3 - 2657*i - 4 - 2638*i + 5328*i to the form z + n*i**3 + h*i**2 + c*i and give c.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 2*s = -2*n - 6, -10 = -5*n - 3*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 5*l - 47. Let d be p(13). Suppose -d*b + 12330 = 4050. List the prime factors of b.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-14) + ((-24)\/(-30))\/(14\/(-90)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-26)*y*y**(-25)\/y)\/((y*y\/(y*y**(3\/11)\/y*y*y))\/y**28) assuming y is positive.\nAnswer: y**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*t**2 + 9*t**2 - 13*t**2 + 39*t**2.\nAnswer: 61*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 567 and 6237?\nAnswer: 6237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27.13 + 27. Let a = q - 0.17. Let c = -162 + 2432\/15. What is the biggest value in c, a, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010001000010 + -11?\nAnswer: 1010000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 5846 (base 9) in base 15?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45981 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = -5*q + 255, -6*q + 3*q + 2*t + 137 = 0. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o**3 + 2*o**2 - 1. Let b be w(1). Let d be (0 - b) + 366\/126. Let j = d - -1\/35. Put 2, j, 5 in decreasing order.\nAnswer: 5, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.0713 times -11.937?\nAnswer: 24.7251081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, 366.\nAnswer: 0, 3, 366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t + 80. Let y be 891\/(-198)*(-16)\/(-12). Determine v(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 - -36. Suppose -4*x + 192 + a = -l, -163 = -3*x - 4*l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*g - 54, 6*g = l + 9*g - 30. Solve 66*v = 72*v + l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) 0.5  (c) 3\/4  (d) -2  (e) 0.1  (f) 2\/435\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 145 + -27. Let g = t + -81. Let d = 37.038 - g. What is d rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -54550 divided by 10910\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*i + 2*i - i)*(3*i - 3*i - i**2)*(9*i + i + 2*i) in the form l + h*i**4 + p*i**2 + a*i + w*i**3 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1510*c**3*w - 108*c**3 + 6*c**2*w + 25*c**2 - 94*c - w wrt c.\nAnswer: -9060*w - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 244959 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 9798691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12318, 24517, 36740, 48999, 61306, 73673?\nAnswer: 86112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l. Let h(g) be the second derivative of -g**5\/60 - 4*g**3 - 7*g**2\/2 - 15*g. Let x(d) be the first derivative of h(d). Give x(a(s)).\nAnswer: -s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 388, 0.5, -24, -19\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 2572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (207\/276)\/((-21)\/896)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -13*o**2 + 23*o. Let q(z) = 3 - 11*z + 6*z**2 - 5 + 2. Let m(b) = 7*q(b) + 3*r(b). Find the second derivative of m(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, 2\/9, 216?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -16*m**2. Let p(c) = -6*c - 171. What is f(p(n))?\nAnswer: -576*n**2 - 32832*n - 467856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*c + 23*c = 230. Let a be (-14)\/(-18) - 16\/(-72). Suppose -5*l - 1 + 6 = -c*r, r = 2*l - a. Which is smaller: r or 1\/46?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 2*g + 4. Let w be j(5). Suppose -c = -6*c + 4*d + w, d + 24 = 4*c. What is the highest common factor of c and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -599 divided by -1.\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 153 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4\/5 + -2\/3. Let t = -0.098 + 3.098. Let b = -2.8 + t. What is the third biggest value in q, 4, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 524 - 444. What is the least common multiple of 32 and q?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -34 + (1 - -1) - (908 - 871).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 7*b - 67. Is h(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z**2 + 278*z - 308. Calculate t(-140).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 17*h + 52. Let o be ((-8)\/(112\/266))\/1. Determine z(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16830?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(104)*1 + (sqrt(104) + sqrt(104)*2)*6)\/(sqrt(8) + (1*sqrt(392) - sqrt(392)) + sqrt(40)\/(sqrt(5) - sqrt(80) - sqrt(5))) + 0.\nAnswer: 76*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 189 + 23. Suppose 0 = -25*h + 6222 + k. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1293 + 1413. What is the greatest common factor of 440 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -6*g**2 + 1. Suppose 0*r - 3 = 3*r. What is v(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hjh when three letters picked without replacement from hhffffjhffh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 88775 is divided by 9847.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.439 - -126.539. Let v = w - 124. What is the closest to v in -1, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 10:39 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the first derivative of 3*b**2\/2 - b - 2. Let k be m(2). Is (-14)\/(-5) + k\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by -262833?\nAnswer: -1\/262833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005354494 rounded to seven decimal places?\nAnswer: -0.0000535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 140\/(-25)*110\/44 - -22. Let k = 6 + -4. Suppose 0*h - 13 = -2*h + 3*j, -4*h = -k*j - 30. Calculate the highest common divisor of q and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1793 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 68675 and 111643?\nAnswer: 187002025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003538071 rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*j - 104 = 81*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -103 + 1?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 59 + -57. Solve -d*n = -5*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-363)\/(-396) + (-2)\/(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {q: 1, i: 7, p: 5, h: 2, n: 1, r: 4}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26778, 53555, 80332?\nAnswer: 107109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/7, 1\/2, -6269\/18?\nAnswer: -6269\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((2*sqrt(1584)*2 - (sqrt(1584) + ((sqrt(1584) + 2)*-4 - sqrt(1584)))) + (3 + sqrt(1584)*3 + sqrt(1584) - -3*sqrt(1584)*3))**2.\nAnswer: -1397330 - 11088*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 771 times -0.04?\nAnswer: -30.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -2 and -2695773016179.\nAnswer: -2695773016181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1507*k - 898*k - 927*k + 2020 = 21418 for k.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 64 and 18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67 by -34.\nAnswer: 67\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -0.9  (c) 107  (d) 2\/7  (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 144\/567 - (-2)\/(-18)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**2 + m - 9. Calculate t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*d**2 - 3*d + 2 - 47*d**2 + 2*d + 23*d**2 to the form y*d + l*d**2 + i and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/3, -1\/6, 42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 3*k**2 + 2*k - 2. What are the prime factors of g(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-3 - (-9 - -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2754, -1 in descending order.\nAnswer: 2, -1, -2754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1090959274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*h**3 + 18*h**2 - 31*h**3 - 11*h**5 + 35*h**2 wrt h?\nAnswer: -660*h**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 7  (c) 23  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.239 - 3.239. Let n = -1 - -6. Which is the closest to 0.1?  (a) 1\/7  (b) i  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10813, 10800, 10769, 10714, 10629, 10508, 10345, 10134?\nAnswer: 9869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 4. Let o be l - -5*(-1 + 2). Suppose -2*t = -6*t + o. Which is the second biggest value?  (a) 5  (b) t  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -f, 2*f - 18 = 3*s + 5*f. Let g = 41\/132 - 2\/33. Let i = -2 + 3. What is the closest to i in s, -0.5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of -o**4\/12 + 253*o**2\/2 + o. Is n(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from {s: 2, f: 8}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 10 = 3*j + 40, 8 = -4*j. Let i(v) = 2*v**2 - 2*v - 1. Let l be i(-2). What is the highest common factor of l and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 14*x**2 - 4*x - 2. Give q(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202*h + 199*h + 29143 = 5*z, -23314 = -4*z - 2*h. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 794, 3010, 5226?\n\"Answer: 2216*u - 1422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 9 = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.922756 and -2.\nAnswer: -5.845512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) 0.08  (b) 2  (c) -0.5  (d) -0.3  (e) 162\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o = -8*o - 110. What is m in 5*m**2 - 25*m + 4*m**3 + 15 - o*m**3 + 6*m**3 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 5*q = -21, 0 = -5*c - 4*q + 6*q - 15. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 59 - 57. What is the units digit of 7*1 - (-5 + 11)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -2. Let o = -195 - -203. Solve 0 = k*a - 0*a - o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(396)*-1 - sqrt(396)) + (1*sqrt(99))\/sqrt(9) + 5 - 4*(sqrt(4455) + (sqrt(4455) - sqrt(4455)*2))\/sqrt(5))**2.\nAnswer: -660*sqrt(11) + 8136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-84)\/385*(-5)\/2.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 - -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)*-1)\/sqrt(12))\/(sqrt(18)\/sqrt(96)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12201, -12474, -12939, -13602, -14469, -15546?\nAnswer: -16839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -1. Suppose o*t = v - 7, -v - 3*t = -6*v + 28. Solve 0 = -l + v*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1348 divided by 1?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8485*f**2*w**2 - f**2 + 856*f*w**2 + 4*f*w wrt f.\nAnswer: 16970*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15\/7 - 2. Let q = -5 + 5.5. Let t = 2.5 - q. What is the closest to -1 in p, t, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 561 and 132.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -5*i + 2*i - 5*x, 0 = -x. Let k = 9 - i. Suppose -3*o + 2*o = -k. Solve 2 = -5*m - 3, -8 = -o*f + 2*m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 3*w**2 - 2*w + 2. Let c(n) = -1111 - 16*n - 27*n + 649. Calculate the remainder when c(-11) is divided by d(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 y when three letters picked without replacement from {f: 1, y: 2, q: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.006772 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -121386868 - -1310.\nAnswer: -121385558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of -421*w**6\/15 + 159*w**2 + 462*w. What is the first derivative of z(o) wrt o?\nAnswer: -3368*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15064 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 109, 118, 127, 136, 145?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 116696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -4 + 4 - 3*w**2 - 4*w**3 + 4 - 1. Let j(y) be the third derivative of -y**6\/40 - y**5\/30 + y**3\/3 - 4*y**2. Determine 4*a(o) - 6*j(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4*c - 7. Let u = -163 + 157. Suppose 2*w = -2*w + 2*z, w = z. Let t(x) = -4 + w + 6 - 3 - x. Determine u*t(v) + j(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -6  (c) -1\/79  (d) -3  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/1*5\/60*54.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 161 by 7.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2991, -6, -1\/10, -3\/7, -5\/3.\nAnswer: -2991, -6, -5\/3, -3\/7, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j + 61. Calculate w(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3248019 or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -3452 + -9399244\nAnswer: -9402696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13438 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-76)\/304*3*(-3)\/(-6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 + 1\/(2\/(-6)). Suppose 33 = 4*o + x*d - 3, 4*o = d + 16. What are the prime factors of (o - 1)*13\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201391 is divided by 1683.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**2 - 84123*g - 3360120.\nAnswer: -3*(g + 40)*(g + 28001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3458*t + 38041. Let h be c(-11). Let p = 0 - 0. Solve -h*v - 9 + 0 = p for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 8*i**2 + 11*i - 10. Let a = -8 - -8. Let j = 7 - a. Is b(j) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -250 by -2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in -0.03, 332, 19\/23, 2\/9?\nAnswer: 19\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 4:47 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**5\/60 - i**4\/12 - 2*i**3\/3 - 5*i**2. Let w be o(-2). What is the tens digit of (w\/(16\/(-10)))\/((-7)\/70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1499310.\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270 = -5*r + 870. Let z be ((-5)\/(-15))\/(1\/6). Suppose -3*o + 244 = -z*d, 0 = 4*o - 2*d - 92 - 232. Calculate the highest common divisor of r and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = -2*d - 2, 8*d - 1119*o + 8 = -1124*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6697354 a multiple of 701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3077847 and 4095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6 - 1\/3*z**4 - 1\/3*z**2 - 5\/3*z**3 + 7*z.\nAnswer: -(z - 2)*(z + 1)*(z + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 747578 is divided by 49837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -204018, -204016, -204012, -204006, -203998?\nAnswer: -203988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -15*m**5 - 58145*m**4\/4 + 86400*m**3 - 511605*m**2\/4 + 131605*m\/2 - 9750 = 0.\nAnswer: -975, 1\/4, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 36498508193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178, 359, 544, 739, 950, 1183, 1444, 1739?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - k + 85 = 0. Let a(f) = -22*f + 32. What is the least common multiple of a(1) and k?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4\/13 + -14\/39. Let k = -24 + 20. Let d = -3\/2 - -1. Which is the closest to d?  (a) o  (b) k  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of 3*y + y**2 + 3*y - 7*y. Let r(g) = g + 2. Suppose 3*x = -5*s - 14, -4*x - 4 = -3*s + 5. Give x*o(t) + 2*r(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a factor of 2946544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9588428 is divided by 3196049.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6052 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 8 + 0)*(f + 2*f - 2*f)*(4 + 4 + 1).\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(-9) + 14\/6. Suppose t*o = 5*o - 9. Suppose 12 = 3*i + 2*x, 0*i - 12 = -o*i + 3*x. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11838*m**6 + 2*m**4 + 6985*m**2 + m wrt m.\nAnswer: 1420560*m**3 + 48*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 2*t - 8. What is the third derivative of -13*l**2 + 124*l**t - 13*l**2 - 102*l**4 wrt l?\nAnswer: 528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -42, -79, -112, -141, -166?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 994928792?\nAnswer: 2, 11, 13, 79063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 300 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 914310925?\nAnswer: 5, 11, 1777, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4244 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + s - 350 = 5*a, -a + 106 = s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the first derivative of -w**4\/38 - 48*w**3\/19 - 812*w**2\/19 - 4263. Factor t(c).\nAnswer: -2*c*(c + 14)*(c + 58)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-108)\/45)\/((-6)\/380). Suppose t + 2 = 0, 4*t - f = -5*q + q. Does 20 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i**4 + 15*i**3 - 11*i**2 + 7*i + 14. Let h(z) = -2*z**4 - 8*z**3 + 6*z**2 - 4*z - 8. Let y(s) = 7*h(s) + 4*q(s). Let y(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -36066607\nAnswer: 4\/36066607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h**(3\/10))**(-3))**32 assuming h is positive.\nAnswer: h**(-1104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -122 + 172. Let v = 16 + 1. What is the remainder when o is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.18 smaller than -0.033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 4*b**2 - b + 1. Suppose 0*m = u + 5*m - 15, -u - 6 = -2*m. Suppose 3*j + 3 + 6 = u. Calculate i(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 91 - 92. Let i be (0\/((-5)\/5))\/l. Suppose 3*s = 4*y - y - 540, 2*y + s - 357 = i. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -300591\/110 + 14243\/5. Let w = -231\/2 + g. Find the common denominator of 15\/7 and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33546240?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y + 0*y + 0*y + (-2 + 1 + 3)*(-2*y + 4 - 4) - y + 4*y - 4*y)*(2 - 2 - 2*y)*(-6 + 1 + 2) to k*y**2 + n*y + o and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 4832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i = 66*i + 1905 + 129 + 1326 for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(612) - (5 + sqrt(612) + -2))**2 + -3 - (1*sqrt(612)*-5 + 2)**2*-1) + 2.\nAnswer: -120*sqrt(17) + 15321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(147) + sqrt(147) + (sqrt(147) + sqrt(147) + 0 + sqrt(147) - sqrt(147))))**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 18 = b - 4*b, z = 5*b + 18. Suppose 4*j = z*j - 3248. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3440\/768 + 1 + -6 and (-4 - 290\/(-72))\/((-12)\/(-87)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + -11111?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m - 31 - 8 = 34*z, -7*z + 6*z - 1 = -4*z - 4*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0088 - 94.7522731.\nAnswer: -94.7610731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0091848846 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 563 less than 1675?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 76794741 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c. Let u(n) = 537*n - 3. Give u(v(b)).\nAnswer: -1074*b - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/40 + 43\/120. What is the closest to -2 in o, 4, -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 23*n**2 - 20*n - 15. Let w(z) = 46*z**2 - 31*z - 24. Let q(p) = 8*u(p) - 5*w(p). Determine q(1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*c - 45, 3*c = l + 17 - 38. Let h(v) be the first derivative of -v**4\/4 - v**3 - 11*v**2\/2 - 5*v - 1. What is the hundreds digit of h(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13 + -10. Let j be -2 + 7\/3 - (-2 + o). What is the nearest to 0 in j, -0.04, -0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 112 + -28. Suppose 2*d + 4*t = 652, d - 413 = -t - o. Suppose 0 = 2*c - 0*c - d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -220*t + 219*t = -13. What is the remainder when 24 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 277*y**4\/12 + y**2 - 82. Let s(z) = -z**2. What is s(h(l))?\nAnswer: -306916*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**3 - 2*z**2 - 6*z + 5. Give i(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2*o - 82 = -3*o, -5*l + 125 = -5*o. Suppose -v - l = -4*g, -v - 15 = 2*g + 2*g. Let a = v - -97. List the prime factors of a.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-3)*b**(-1\/3))\/(b**(-1\/4))**(2\/79) assuming b is positive.\nAnswer: b**(-1577\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.06 in 1.8, 5\/3, -7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 3:58 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001724636 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 48421949467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -5*s - 627 + 80, -s + 356 = -2*d. Let c = -185 - d. Let h(p) be the second derivative of p**4\/12 + p**3 - p. Give h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-30)\/12*(-14)\/5. Let i be ((-8)\/(-3) - 3)\/((-4)\/60). Is k >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express k**3 + 4*k**3 - 107*k + 1058 + 8*k**4 - 7*k**4 - 2*k**3 - 1056 as m*k**3 + f + d*k**4 + b*k**2 + h*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 18.756 > -0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o**(-35)\/o))\/((o**(-1\/25)*o)\/o))\/(o**(-3\/28)*o)**(-34))**(19\/3) assuming o is positive.\nAnswer: o**(149397\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 9:12 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*(-8 - (-13 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -2.9. Let m = -227 - -680\/3. Which is the nearest to h?  (a) m  (b) -5  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 18. Sort -6, z, 2 in decreasing order.\nAnswer: 2, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (47*h - h + 10*h + (-1 + 1 - 2*h)*(-1 - 2 + 1))*(1 + 1 - 8 + 0 + 3 - 2 + (1 - 4 + 1)*(2 - 1 + 1) - 4 - 2 + 5 + 0 + 2 + 0 - 3 + 3 - 1).\nAnswer: -540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/5)\/(3\/(-15)))\/(1720\/43*-1)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 3 + 11 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -t + 2*q, 16*t - 98 = -352*q + 350*q for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011001001 - 1110101011?\nAnswer: 1100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -621.4 times -3.207?\nAnswer: 1992.8298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8658543 is divided by 4498.\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.30544 + 0.3033871. Round i to 5 decimal places.\nAnswer: -0.00205","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 130c - -5?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4*f + 569360 = 12*f. Round f to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + n + 1. Let y be (7\/4 - 2)*4\/1. Let f(h) = 1. Calculate y*v(l) + 3*f(l).\nAnswer: -l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 3*w - 5*w. Let l(h) = -h**2 + 11*h. Let f(a) = -6*a. Let g(m) = w*f(m) + 6*l(m). Find the second derivative of g(v) wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17812 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 4\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u**2\/u))**49*u**13\/u**3 assuming u is positive.\nAnswer: u**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 462 a factor of 126619878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -17 divided by -2104\nAnswer: 17\/2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -636\/19 + 1889\/57. Let i be (24\/176)\/((-6)\/8). Which is the second smallest value?  (a) i  (b) l  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -0.8. Let y = 1 + 3. What is the biggest value in 0, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 95, 78, 61, 44, 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -j**4\/6 - 2*j. Let c(u) = -11*u**2 + 2*u**2 + 8*u**2. Give c(g(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 122, 311, 600, 995?\nAnswer: 1502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-800)\/(-128))\/(1\/(-60)). Let v = 610 + i. What are the prime factors of v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163 - -367. Suppose 0 = 5*i + 9 - s. Let t = i + -10. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 2. Let u = -3811\/42 - -477\/14. Let g = 58 + u. Which is the nearest to -1\/4?  (a) -5  (b) g  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.7, 1, -0.5, 5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from udd?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n. Let r(k) be the second derivative of 5*k**4\/2 + k**2\/2 + 14*k - 1. Determine f(r(c)).\nAnswer: 60*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -47*g + 795. Let b be v(49). Which is greater: b or -1510?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = 35*y - 43*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -686*i + 687*i - 22. What is the remainder when 216 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2028504 divided by -6?\nAnswer: -338084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 166906?  (a) -5  (b) 2\/19  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7104274 hours to nanoseconds.\nAnswer: 2557538640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 0*o**3 + 0*o**4 + 1\/90*o**5 + 0 - 1\/72*o**6 - 1\/90*o**7 + 4*o**2 + 0*o. Solve z(y) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 68.40953 days?\nAnswer: 9.77279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*m - 75. Suppose -40*n - 77*n + 4238 = -11557. What is the highest common divisor of n and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 476493.59 rounded to the nearest 100?\nAnswer: 476500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-11)*r**(-1)*(r*r*r**(-1)*r)\/(r*r*r*r*r*r*r**(2\/3)) assuming r is positive.\nAnswer: r**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*w**2 + 41 - 41 + (0*w - w - w + (-3 + 0 + 5)*(-w + 3 - 3))*(5*w + 24 - 26 - 15*w) + (-3 + 0 + 2)*(w**2 + 3*w**2 - 3*w**2).\nAnswer: 25*w**2 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 + -7. Let b(f) = 11*f**2 + 1. Calculate b(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 34999168*q. Let i(d) = 27*d**2. What is m(i(t))?\nAnswer: 944977536*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2747*g**2 + 3 - 10245*g**2 + 2*g - 1.\nAnswer: -12992*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 4 = -2*u, -4*u + 7 = a - 1. Suppose 2*n - u*h = 166, 158 - 16 = 2*n + 4*h. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.49 and -0.112794.\nAnswer: 0.39365106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -784923 and -10200.\nAnswer: -795123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -533*l + 5766. Determine r(10).\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -395557, -791113, -1186669, -1582225?\n\"Answer: -395556*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -56425\/6 - -9425. Let g be 2\/(-5) - (-291)\/15. Calculate the common denominator of l and (-1 - g)*(-33)\/24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhvy. What is prob of picking 1 v and 1 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/50 of a hour?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2557 = -167*g + 720 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*d**3 - 5*d**2 + 2*d**2 - 180*d**3.\nAnswer: -243*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35216 and 64?\nAnswer: 140864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**2 - x + 6. Let n be l(-3). Let s = 484\/9 + -54. What is the nearest to n in -0.2, -0.08, s?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2420*o = 5*d + 2415*o + 55, 0 = 3*d + 3*o + 39 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 3*-1*sqrt(77)\/(5*-3*sqrt(7)))*5.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3, -0.4, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000039874 rounded to seven dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 609.83889 rounded to the nearest 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o = -8*o. Suppose -24*b + 19*b + 20 = o. Suppose 0 = -2*r - 3*r + 40. Solve -s + 2*t - r = b*t, -17 = s + 5*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 460349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 2*x**2 + 6*x + 4. Let y be f(-4). Let v = y - 7. Suppose 12 = -a + v*a. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 167*b + 2949. Let y be p(-16). Let m(r) = 64*r**3 - 1. Let d be m(1). Calculate the greatest common factor of y and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/6453825 and 34\/35.\nAnswer: 6453825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.6 and 0.5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 + -68 - 91) + 90?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*2*342\/399. Factor 2\/7*r**2 - 10\/7*r + b.\nAnswer: 2*(r - 3)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1381 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -375 - -5?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - o = t + 106, 0 = -t + 4*o + 100. What is the common denominator of (-3)\/(t\/154) + -1 and ((-31)\/8)\/((-6)\/9)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tttddtttdtdtdt. What is prob of picking 3 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2845 + 5691\/2. Which is bigger: n or -54.9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -2*s. Suppose -4*w = -10*h + 5*h - 77, h = -1. Suppose s = 5*o - 10 - 0, -2*k - 5*o + w = 0. Solve -4 + 0 = 4*g, -k*j = -g + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20457804 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1844 is divided by 534?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r*r**2*r)\/r))\/r**(3\/4))**(-22)*(r*r**(2\/11)*r**(1\/5)\/r*r)**26 assuming r is positive.\nAnswer: r**(10607\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {p: 1, j: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.1, -2 in descending order.\nAnswer: 4, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.039899 months in centuries?\nAnswer: 0.0108665825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-78)\/((-25)\/((-200)\/(-48))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 9.084387 centimeters?\nAnswer: 0.09084387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4.906  (b) 13  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/k**2)\/k*k)**(-1\/17))**(4\/13) assuming k is positive.\nAnswer: k**(4\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 232*l**3 + 2*l**2 - 1. Let n = 3 + 0. Suppose -3*k = n - 6. Is b(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 389084829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x. Suppose -1 = 3*p - 7. Let i(h) = -4*h**2 + 6*h**p + 3*h**2 - h**2. Give k(i(j)).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97031 is divided by 115.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -153777 (base 8) in base 10?\nAnswer: -55295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6979\/6 or -1163?\nAnswer: -1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eew when three letters picked without replacement from {e: 9, w: 7}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/12*32\/6. Let a(t) = -4 - 8*t + i*t**2 - 7 + 20*t + 0*t**2 - t**3. What is the units digit of a(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 15 = -7*o. Let t = -3 - o. Find a such that 2\/3*a + 0*a**4 - 4\/3*a**3 + 0*a**t + 2\/3*a**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c6254a63 - -5?\nAnswer: c6254a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 264 is divided by 55?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 248 (base 9) to base 6.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -91*a + 95*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - 7) + (-3 - 0) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 + 9*t**2 + 28*t + 128. Let b be z(-7). Calculate the highest common factor of b and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 10:24 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 13*k - 4*k**2 + 7 + 5*k**2 + 40 + 6. Let b be u(-6). Solve -7*s + 8 = -b*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -5*z + 62. Solve 4*l = -2*i, 4*l - 3*i = 1 + z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(1008)))**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15004086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*r + 264 = -70*r. Calculate the remainder when r is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1 - -1)\/(0 + 5). Let p = 11\/5 + -12\/5. Which is the closest to -1\/6?  (a) p  (b) 0  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -5*h + 19 - 11 - 11 - 3. Let w(u) = 1. Let f(s) = t(s) + 3*w(s). List the prime factors of f(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 4*q**2 - 8*q + 7. Let k(s) = -4*s**2 - 10*s + 3. Let w(d) = -d**2 - d. Let y(c) = -k(c) + 6*w(c). Let u(f) = 3*o(f) + 7*y(f). Factor u(g).\nAnswer: -2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/8)\/((-55)\/(-10560)*528)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x\/(x\/x**(4\/3)))\/x*x*x)\/x**(-1\/2)*(x**(1\/3)*x)**(1\/4))\/((x**(-1\/5)*(x*x**(-2\/9))\/x*x)\/((x**(-1\/6)\/x)\/x**1)) assuming x is positive.\nAnswer: x**(64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.088691 times -0.4\nAnswer: 0.0354764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + (-4)\/6*-3. Let c = -57 - -120. Suppose w*m + 3*m = c. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 76696, 153387, 230082, 306781?\n\"Answer: 2*i**2 + 76685*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r + 1 - 7, -6*p + 9*r + 90 + 247 = 34 for p.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 473194 divided by 24.\nAnswer: 236597\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 110*x - 6. Let s(d) = 32*d - 2. Let l(w) = -3*c(w) + 10*s(w). Let v(b) = -9*b**2. What is v(l(j))?\nAnswer: -900*j**2 - 360*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -165 + 57. Let l = -95 - r. Solve 0 = -5*v - 2*b - l, -4*b + 0*b = -3*v + 13 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o + 6. Let g be t(-5). Let i be g\/(6 - 3) - -3. Suppose -3*k + 2 = -i. Let w(r) = -r**2 + 2*r + 3. Give w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -15, -19, -25, -33?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w - 6*w + w. Let g(z) = 128*z. Let y(v) = 58*v. Let l(x) = -10*g(x) + 22*y(x). Calculate l(d(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -52 divided by 2652?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 48.987 in 1.7, -2\/11, -0.4, 0?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/20 and 197\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*m + 5*m + 0 + 0 to n + j*m and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of 2*g + 0 - 5\/2*g**2 - 1\/12*g**4 - 1\/6*g**3. What is q(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -434 + -4194793851.\nAnswer: -4194794285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 0*g - 2*g - 6*g**3 + 6*g + 5*g**3 + g**2. Let d(i) = -i**2 - 4*i + 3. Let u be d(-4). Determine h(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 79 - 58. Let q = -20.99999768 + p. What is q rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - -348ea?\nAnswer: 348e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9150 and 1098?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 191872 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -440, -513, -654, -875, -1188, -1605?\n\"Answer: -2*f**3 - 22*f**2 + 7*f - 423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 15*u + 18. Let j be v(14). Suppose 3*s - 97 = 2*q, 3*s - 107 = j*q - 0*q. Solve -2*y + 5*h = s, -y + 17 = 3*y + 5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes before 10:36 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 568023881?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8306 + -5758. Calculate the greatest common divisor of 42 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the first derivative of -d**6\/6 - d**4\/6 + 7*d**3\/2 + 58*d - 94. Let o(f) be the first derivative of k(f). Find the second derivative of o(a) wrt a.\nAnswer: -60*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aqaianan. What is prob of sequence qa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 676 in -0.2, 14, -27?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is (-110)\/33 + 1005566\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*((-42)\/4 + 3). Suppose -3*v = -6 - 3. Calculate the greatest common divisor of s and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(25)*1 + sqrt(25))\/sqrt(5).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 21533869 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.014 - 7.906. Let a = d - 0.08. Let i = -8.2 - a. What is the third smallest value in -1\/6, -1, i?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v - 33. Let z(j) = -34. Let a(n) = 3*r(n) - 4*z(n). Let s be a(5). Suppose 2*h - 62 + s = 0. Solve -2*o - h - 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1584\/(-48))\/(-11)*-2*26\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 7:09 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) be the third derivative of 263*d**7\/210 - 109*d**5\/30 - 3*d**2 + 18*d. Find the third derivative of k(t) wrt t.\nAnswer: 6312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/3*h - 16\/3 - 1\/3*h**2.\nAnswer: -(h - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of p**4\/12 - p**3 + 7*p**2\/2 + 12*p. What is r(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 410101570?\nAnswer: 2, 5, 41010157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 437 divide 1151058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (21 - 19 - (-1 - -9)) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.24 < -39.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 26*g**2 - 10*g - 2. Let s be o(7). Let x = 2355\/2 - s. Calculate the common denominator of (1 - 3) + (-11)\/2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 14*u**2 + 8*u - 94. What is the units digit of g(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*(g*g\/g**(2\/7)*g)\/g)\/(g*g**(-11)*g*g))**(1\/28) assuming g is positive.\nAnswer: g**(75\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1587 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 218 + 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.1 + -1. Let d be (-152)\/(-12) - (-8)\/6. Suppose -57*m - d = -55*m. Which is the closest to z?  (a) -5  (b) 0.4  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 140470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 5. Let r be 1*(4 - f) - -998. Round r to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -812149 + 1863961. Suppose -848188 = -5*r + k. Round r to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the third derivative of 2*d**5\/15 + d**3\/6 + 307*d**2. Calculate w(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4a - -16?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + 6*k**2 - k**2 + 4 - k**2 + k. Calculate the smallest common multiple of a(4) and 6\/(-9 - (-210)\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 479 - 476. Suppose -d*l + 18 = -2*n, -5*l = -2*l + 4*n. Let z(w) = -4. Let k(y) = 2*y - 28. Give l*k(r) - 28*z(r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66.04476 decades to centuries.\nAnswer: 6.604476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 281 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28880, -228720, -771140, -1827428, -3568872?\nAnswer: -6166760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 50266.45 and 0.4?\nAnswer: 20106.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 19*i**2 - 40*i - 374. Calculate the least common multiple of q(-19) and 18.\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 1, 1993, 44 in decreasing order.\nAnswer: 1993, 44, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3028 - 3022. Suppose -128 = -4*d + 76. Suppose 3 + d = n*x. Calculate the highest common factor of x and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1232112 divided by 112\nAnswer: 11001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 31 (base 11) to base 12\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k + 20*k = -204 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26362304299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v**2 - 7*v - 3. Let d be k(-6). List the prime factors of (-4)\/(-6) + (-2057)\/d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -729475 * -2\nAnswer: 1458950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 283457 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + -72 - 25 - -1.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -2*c**6\/15 - c**5\/30 - c**4\/12 - c**3\/6 - c**2 + 2*c. Let i(x) be the first derivative of g(x). Is i(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 7*n - 2*n)*(-8*n - 17*n - 50*n) + (0 + 0 + 3)*(0 + 0 - n**2).\nAnswer: -528*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g + 13. Suppose 6*m - 3*m = -3*l + 9, -5*l + 11 = 4*m. Let j be r(m). What is the greatest common factor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - g + 1. Let l be y(-1). Let i be (4 + -1 + -3)\/l. Suppose i = -7*x + 3*x + 20. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 3. Calculate j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -5*c. Let h(b) = -b**2 + b - 1. Let l(t) = -11*t**2 + 6*t - 6. Let f(y) = 6*h(y) - l(y). Determine f(w(p)).\nAnswer: 125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.07 - -1.97. Let m = -13 + 6. Which is the closest to k?  (a) 2\/7  (b) m  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -195.18 and 1?\nAnswer: -195.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 5*w - 12 = 0, 7*l - 6 = 2*l + 3*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 - 23*v**2 - 22*v - 8. Let y be q(24). Differentiate c - 22*c - y + 18*c**3 + 21*c with respect to c.\nAnswer: 54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, z: 1, m: 1, e: 2}. Give prob of picking 1 e, 1 z, and 2 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4 - (-22)\/12)\/(22\/18) and -27\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 121279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mtcmcmzcqcc. Give prob of sequence zm.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16116062 (base 8) to base 7.\nAnswer: -43351222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -18. Suppose -2*i - 2*d = -10, -4*i - 4*d + 2*d + w = 0. Suppose -i*a = 2*a - 150. What is the remainder when 57 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 7:32 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((5*sqrt(72))\/sqrt(4))\/(-5*sqrt(96))*4)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 346*f = 343*f - 9, -2*f = -q + 1. Let a be -1 + q\/3 + (-5 - -7). Factor -3\/5 + 8\/5*h + 16\/5*h**a.\nAnswer: (4*h - 1)*(4*h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (506 + 1)*(-2)\/6 - 1. What is s rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2828 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 1, 0 = -i - 0*i + 4*k - 1. Suppose -i*f + 28 = 5*b, -2*f + 7 = -2*b + 3*b. What is the remainder when 7 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (282\/9)\/(1\/3). Let i = z + -67. Suppose 4*l - 13 - 23 = 0. Calculate the highest common factor of l and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -4 + 10 - (2 + 0). Let k(m) = -5*m**2 + 6*m - 2. Let o(d) = d**2 - d + 1. Calculate v*o(y) + k(y).\nAnswer: -y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 4, 3, 2, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3772*r**6 + 1564*r**4 + 44384*r**2 - 655.\nAnswer: -452640*r**3 + 37536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5 + 1 - (1 - 0). Let u = 18 - 10. Suppose y*j + u = 158. Calculate the greatest common divisor of 240 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2053 + -953. Let p be (-2)\/7 + v\/28. Let s be (-26)\/p + (-16)\/(-6). Let y(q) = q**3 - 4*q**2 + 4*q - 3. What is y(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -8812*i + 10423?\nAnswer: -8812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 8*u. Let n(o) = 1027*o**3 + 5*o**2 - 38*o. Give -n(m) - 5*y(m).\nAnswer: -1027*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 367 divide 96521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (35\/(-126) + 2\/(-9))*-18. Let k = i - -51. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25444*k**2 + 9*k - 15*k - 1085*k**2 + 6*k.\nAnswer: -26529*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1858904 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*u + 47*u = -63*u + 187 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0028190999 to 6 decimal places.\nAnswer: 0.002819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - -6ca991?\nAnswer: 6ca996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**4\/8 + 17865*d**3\/8 + 71283*d**2\/2 + 88785*d\/2 - 890850 = 0. Calculate d.\nAnswer: -5939, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*1*(-2 + 4*(2 + sqrt(1900)*1 + 2))**2.\nAnswer: -30596 - 1120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*g + 8 = -54*g - 3*y, 2*y + 7 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 4. Suppose -f*i - 2*i + 15 = 0. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -11, -76, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - -5) + (3 - (-3 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 403928199 and -0.3.\nAnswer: -121178459.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 7 = 2*u. Let v(z) = 9*z**2 + 4*z + 7. Let n be 8\/10*5*-1. Let c(p) = 4 + 45*p**2 - p + 3*p - 40*p**2. What is n*v(q) + u*c(q)?\nAnswer: -q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l**3 - 44*l**2 + 66*l + 568. Determine x(20).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 980*a**2 + 2*a + 3613. Let l(m) = 4*m. Give l(r(i)).\nAnswer: 3920*i**2 + 8*i + 14452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wtsjsssajsswwt. What is prob of picking 3 s?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(13) + 1)**2 + sqrt(52)\/(sqrt(24)\/sqrt(6) + sqrt(4)).\nAnswer: -84 - 23*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 2, 100, 1.4, 0.3, -5186?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 56.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -1.02. Let r = 48 - 47.9. Let j = r + -5.1. What is the second biggest value in j, u, 3\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 514526 is divided by 1687.\nAnswer: 1678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4221467 and -1062.0231?\nAnswer: 4220404.9769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j + 6*o - 2*o - 1, -2*o - 6 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -5*a**2 - 26*a + 11. Let i = 4515 - 4517. Let c(p) = -p**2 + 2*p + 2 - 5*p - 2*p. Calculate i*q(f) + 11*c(f).\nAnswer: -f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j + 1. Let b(q) = -q**2 + 8*q - 9. Determine -6*a(f) - b(f).\nAnswer: f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*b + 7*b - 12*b)*(-4*b**2 + 4*b**2 + 3*b**2).\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**3 + 3*r**3 - 3*r**3 + 61.\nAnswer: 2*r**3 + 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -2*n**3 + 5*n**2 + 12*n - 5. Let v be o(5). Let d = -116 - v. Let u = 79 + d. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 + 159*o + 5868. What is l(-31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001513 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 13 = -7. Let d(v) = -v**2 - 31. Let x be d(0). Let t = x - -45. What is the least common multiple of b and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(99)\/(sqrt(9) - (4*-2*sqrt(9) + sqrt(9)))*3*3 + (-2*(sqrt(1100) + 0) + -3 + (sqrt(1100) - (0 + sqrt(1100))))**2.\nAnswer: 969*sqrt(11)\/8 + 4409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 3*p + 6*p)*(0 - 1 + 0) - 8*p - 39*p - 16*p.\nAnswer: -64*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2152\/1155 - 1\/165. Let f = l + -58\/35. Let p = -4 - -4.3. Sort -0.2, f, -2, p in decreasing order.\nAnswer: p, f, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i + 101 = 129 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/(-4) + (-1254)\/(-12). Let t = 163 - u. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 11:09 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2244159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-34)\/425 - (-19398)\/13725.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 85 = -165*y - 2245, -2618*p + 2622*p = -2*y - 12 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 0.06704, 0, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z + 2. Let r be k(5). Suppose a + 2*a = r. Let h(n) = -7883*n - 15765. Let c be h(-2). Solve -f + a = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15685425653704\/41562187035 - -624\/28565077. Let m = x - 1887\/5. Which is smaller: -1 or m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of g**6\/165 + 3*g**5\/110 - g**4\/66 - g**3\/11 + 15*g. Solve c(l) = 0 for l.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = r - 6*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 32 - 9. Let o = 43 + -25. Let a = l - o. Which is smaller: 2\/3 or a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -538 - -540. Let g = -1 - -5\/3. Which is the closest to g?  (a) -3\/7  (b) -3\/4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.12?  (a) 13\/3  (b) -2\/5  (c) -217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00035086 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -232743 (base 11) to base 15\nAnswer: -7478b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/9)\/(-2) + (-2 - -114). Is 343\/3 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67869625 is divided by 1982?\nAnswer: 1981","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 239039726483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 1 = -3*p + 4, 7 = -t - 5*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 114\/20 - 747\/498. What is the third smallest value in t, 4, -5, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the first derivative of -2*g**3\/9 - g**2\/6 - 5. Factor z(y).\nAnswer: -y*(2*y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and 4595426.\nAnswer: 4595425.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 708?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3230 and 4845?\nAnswer: 9690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -10*l. Let h(v) = 14*v. What is p(h(b))?\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 453415804 rounded to the nearest 1000000?\nAnswer: 453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*p + p - 2*p - 1 - 41*p to the form c + q*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((4 + ((sqrt(931) - sqrt(19)) + sqrt(19) - sqrt(19)) + -5)**2 + 5).\nAnswer: -3450 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of -y**5\/20 + y**4\/3 + 5*y**3\/6 - 2*y**2 - 3*y. Let x be l(4). Suppose 3*d - x = 5*q, 4*d = -5*q + q. Solve 2*o + 8 = d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -8*y + 20. Let w(t) = t + 1. Let b(c) = 2*c + 6. Let g(s) = -b(s) + 3*w(s). Let d(q) = 40*g(q) + 6*x(q). Let u(a) = 2*a**2. What is d(u(i))?\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.118?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of y**7\/525 - y**6\/100 - y**5\/30 + y**4\/20 + 4*y**3\/15 - 23*y**2. Suppose s(g) = 0. Calculate g.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qog when three letters picked without replacement from {g: 1, x: 1, v: 1, q: 3, h: 1, o: 5}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/(-3))\/(-3) - 0. Let p = 1 + j. Suppose 0 = -o - p. Which is the third biggest value?  (a) -5  (b) o  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51 + -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 433458 and -6.\nAnswer: -2600748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v - 3. Let r(n) = -n - 4. Let g be r(-2). List the prime factors of w(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21102 - 122202?\nAnswer: -221011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 12*w**3 + 4*w**2 + 13*w - 15. Let y be z(1). Solve 60 = -4*n + y*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 3 - (-52 + 54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -6 and -405829.\nAnswer: 2434974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2\/11 - 1199026*m\/11 + 599512\/11.\nAnswer: 2*(m - 299756)*(2*m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.4 - -3.4. What is the nearest to -12 in -0.1, 2\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3082354892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 520166513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 + -3.2. Let d = 0.7 - -3.3. Sort -5, d, r in descending order.\nAnswer: d, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 3*g - g - 10, 4*p - 3*g - 7 = 0. Suppose -m - 38 = 3*m - 2*i, 4*i = -2*m - 44. Let y be (-2)\/(-6) - (-16)\/m. Sort y, -4, p.\nAnswer: -4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/7  (b) 0  (c) -94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, g: 2, k: 4, n: 6, y: 2}. Give prob of sequence nnky.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67502135 is divided by 3620?\nAnswer: 3615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -64.5620409 to three decimal places.\nAnswer: -64.562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1371117 is divided by 12458.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -10*g - 2 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 1\/2  (c) -5  (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14806 + 14806 + 512*g + (-1 + 1 - g)*(-1 + 1 - 1) + 2*g - 1 + 1)*(g - 2 + 2) to s*g + q*g**2 + x and give q.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 0.1, 2\/5, -12, 1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.1 + 5.1. Let a = 174 + -174.3. Sort z, a, 2 in ascending order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-11 + 200)*604\/(-18)*(-15)\/10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: -5208 divided by 1302\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 2*z + 18021 = -z, z = -j - 3603. Let p = -1049 - j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**3*h**2 - 12*a**3*h - a**3 - a**2*h**2 - 4*a**2*h + 1158*h**2 - 14*h wrt h.\nAnswer: -4*a**3 - 2*a**2 + 2316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -6 - (-18 - (-60 + 73))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, 8, -1, 3 in descending order.\nAnswer: 8, 3, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 6*q - 5*q + 7*q + 1.\nAnswer: 8*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -460627735 by 29.\nAnswer: -15883715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001 + 101011000110101111?\nAnswer: 101011000110111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 8258*k**2 - 2 - 8248*k**2 + 1 + 1 as q*k + g + s*k**2 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -122*n**4 - 6*n**3 + 12*n**2 - 79. Let r(b) = -b**4 - b**3 + 2*b**2. Let p(a) = -k(a) + 6*r(a). Differentiate p(q) with respect to q.\nAnswer: 464*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -5  (c) -348.7  (d) -1  (e) 0.38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.254 + 0.026. Let v = -0.72 - d. What is the nearest to 1\/2 in v, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 85 - 83.71. Let a = u - 59.29. Let l = -57.99887 - a. Round l to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3052 is divided by 747.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 525901, 525890, 525877, 525862, 525845?\nAnswer: 525826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/14, 0.2, -2, -0.53, 0.1 in descending order.\nAnswer: 5\/14, 0.2, 0.1, -0.53, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -5*i**7\/21 + i**6\/15 - 43*i**4\/6 + 37*i**3\/6 - 37*i**2\/2 + 4*i - 92. Find the second derivative of b(k) wrt k.\nAnswer: -200*k**3 + 24*k**2 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20420, 20423, 20426, 20429, 20432, 20435?\nAnswer: 20438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/30901570 and 37\/19865295.\nAnswer: 278114130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = -18*c + 15*c + 8, 3*k = -2*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 98, -2, 3, -6, 1.\nAnswer: -6, -2, 1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 15*n + 72. Let o(x) = -4*x**2 + 3*x. Let u(v) = -21*v**2 + 14*v. Determine n*u(t) + 14*o(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*h + 689 = -121. Find the third derivative of 66 + 10*y**2 + h*y**5 - 9*y**2 - 141*y**5 wrt y.\nAnswer: -5760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2975)\/102 + 29)\/(-1). Factor 1\/6*r**3 + s*r**4 + 0*r - 1\/3*r**2 + 0.\nAnswer: r**2*(r - 1)*(r + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-2)*r)\/r)\/(r*r**(1\/13)*r))**(-23)\/(((r\/r**(1\/3))\/r)\/r**(-2\/15)*(r*r*r**(-2\/15)\/r)\/(r\/(r\/((r**8*r)\/r)))) assuming r is positive.\nAnswer: r**(3943\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -69*z + 16. Let w(b) = 1. Let g(y) = -m(y) + 2*w(y). Is g(11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 19d825 (base 14) to base 15.\nAnswer: 132c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**4 + i**4 - 3*i**3 + 3*i**4)*(-5 - 7 + 18).\nAnswer: 42*i**4 - 18*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**2 - 72*t + 128.\nAnswer: 4*(t - 16)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s + 12. Suppose 35*f - 317 + 247 = 0. Calculate g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12740)\/(-14651))\/((-12)\/(-3))\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00156617 rounded to 5 decimal places?\nAnswer: 0.00157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7483.314 millilitres?\nAnswer: 7.483314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-2))\/(-1)*(-1308)\/15. Which is bigger: v or 87?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -3*q**2 - 71*q + 13. Is m(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -6*u**2 - 8. Let k(d) be the third derivative of d**4\/8 + 1132*d**2. Calculate k(r(g)).\nAnswer: -18*g**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - l**2. Let q(r) = -7*r**3 - 4*r**2 + 10*r. Let d(v) = -4*a(v) + q(v). Let u(g) = -g**3 + g. Determine d(h) - 5*u(h).\nAnswer: 2*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**5\/8 + 217*u**4\/8 - 5167*u**3\/8 + 39307*u**2\/8 + 14283*u\/4 = 0. Calculate u.\nAnswer: -2\/3, 0, 23, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 10 = -4*t. Suppose 2*z - 2179 = -5*c, t*z + c + 3*c = 3265. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11723580 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {e: 6, l: 11, p: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*y - 97*y = -816 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 12\/(-5) - (-1 - 0))\/(19020\/(-5278050))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -21. Let t(a) = -a**3 - 6*a**2 - 4*a + 1. Let q be t(j). Let i = q - -8. Sort 7, 1, i.\nAnswer: 1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -5, 1, 20, -1 in descending order.\nAnswer: 20, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -8 - (-38 - (-8 + -32 + 21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4 = -0*n - 4*n, 3*n - 14 = -2*y. Suppose -2*x + 28524 - 6370 = 0. Suppose -y*q + 4687 = -x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3946 - 3946. Solve 5*t + 0*t = v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v**4 - 38 + 12 - 3*v**4)*(6 + 4 - 5).\nAnswer: 15*v**4 - 130","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*(-7 - (-5)\/15*0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -136*w**2 - 433 + 266*w + 110 + 150 + 41 + 2*w**3 = 0?\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1265 - 4993\/4. Let i(h) = 2*h - 8. Let q be i(6). Find the common denominator of d and (10\/(-24))\/(q\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 5*g + 1974. What is the common denominator of (5\/((-100)\/(-3)))\/((-9)\/g) and -1\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) -0.35  (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -14. Let i be 24\/4 + 1 + m. Suppose -l = -4 + i. Put l, -3, -0.3 in decreasing order.\nAnswer: -0.3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -0*r + 3*r. Suppose 5*z = g + 6416, 0*g = r*z + 4*g - 5128. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3782971, -3782968, -3782963, -3782956?\n\"Answer: s**2 - 3782972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*o - 1814 = 3769 - 1887 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**15)\/((((a*(a\/(a\/a**(-4)))\/a*a)\/a)\/a*a)\/a*a))**(-2\/55)*(a**(1\/4))**37*(a*a**(-1\/2))**(-27) assuming a is positive.\nAnswer: a**(-219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2170012903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 8:12 PM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -16 - 4. Let x = o - -47. What is the greatest common factor of 135 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 191\/3060 and 77\/6120.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 3)*(-4)\/(-6). Let b be (1\/m)\/((-15)\/90). Is b - (-104)\/(-1 + 5) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31016549 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/2)\/(j**(-1\/5)\/j)*j**(-4\/5)*j**(1\/2) assuming j is positive.\nAnswer: j**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 7:10 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**2\/(l\/(l**8*l)*l)*(l**(-7\/4)*l*l*l)\/l**(-4))**16 assuming l is positive.\nAnswer: l**228","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = q + 1978. Suppose 4*x + 618 = q. Suppose 5*f - x = -0*f. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19 + -20. Let m be 2*s\/6 + (-238)\/(-102). Factor 0*y - 2\/11*y**m + 0.\nAnswer: -2*y**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*n - 2*n**2 - 22*n + 2*n**2 + 2*n**3 in the form o*n**3 + a*n**2 + f + m*n and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -30, 5 in decreasing order.\nAnswer: 31, 5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -265*q + 110*q + 4960 = 0. Let w be (-194)\/(-4) + 1\/(-2). What is the highest common factor of q and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -27316.\nAnswer: -27315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + o = 2*n - 10, 5*o + 4*n = 14. Suppose 3*k - 6 - 6 = 0. Suppose -h = -y - k*y - 6, o = 3*y. Solve -x + h = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llpttrt. Give prob of picking 2 l and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 2*r**2 + 5*r - 2*r.\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 554522701 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 408, 1751, 3996, 7149, 11216, 16203, 22116?\n\"Answer: a**3 + 445*a**2 + a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*w = -5*u - 36710 + 36670, -w = -2*u - 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l + 8. Let k be x(-4). Suppose 0*d + d = -5*t + 61, -k*d + 4*t + 244 = 0. List the prime factors of d.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q - 7. Let v(t) = t**3 + 12*t**2 + t + 14. Let j be v(-12). Suppose -8 = -j*u - 14. Give k(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.06 - -2.94. Let k = n + -2.9999948. Round k to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*t - 7 + 0 = 0, 5*t = -c - 7. What is the greatest common factor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w + 2. Let p(c) = 3*c - 31. Let h be p(11). Let a(m) = -27 + 27 + m - h*m. What is a(o) + t(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of 3*h**4\/4 + h**3\/6 - 51*h**2 - 36*h + 19. Let o(n) be the first derivative of g(n). What is the derivative of o(l) wrt l?\nAnswer: 18*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -5*p**2 + 106*p + 229. Determine h(27).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*n - 22 + 16. Suppose 0 = n*a - g - 32, -5*g + 47 = 3*a - 6*g. Suppose -66 = -j + a. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u - 632 + 1248 = 0. Calculate the remainder when u is divided by 78.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -775, -6967, -23769, -56485, -110419, -190875, -303157, -452569?\n\"Answer: -884*w**3 - w**2 - w + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -0.65816277.\nAnswer: -1.97448831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4*(10\/(-36))\/(-5). Let c be 22\/6 + (-2)\/3. Let b = 3 - c. Is t at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s + i = -12, -4*i = 10204*s - 10205*s - 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 11*w - 14. Let r(q) = -q**2 - q + 8. Let f be r(-3). Let g be l(f). Solve -11*x + g*x - 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + u - 2*u**2)*(2088*u**2 + 2 - 2088*u**2 + 28*u**3).\nAnswer: -56*u**5 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-seven fifths of a minute?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16305 and 18?\nAnswer: 97830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*v - 10*v + 21 = 0, -3*q + 11 = 2*v. Let h = 4589\/258 - 170\/43. What is the common denominator of q\/(-3) - 500\/(-105) and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = f - 5*k - 10, -47*k - 23 = -4*f - 44*k for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -1500, 15612?\nAnswer: 15612","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1035535 by 9.\nAnswer: 1035535\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*r + 9*r**2 - 9*r as f*r + t*r**2 + x and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16388 - -16414) + 1*(-578)\/22?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2546 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/4153324 and 67\/676466.\nAnswer: 951111196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by (-12)\/42 - (-531)\/21.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -480.5494 take away 1.6076457?\nAnswer: -482.1570457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9.21 - 8. Let c = -0.79 - v. Sort 0.5, c, -0.1, 4 in increasing order.\nAnswer: c, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-21))\/((-76)\/(-3724))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -4*v**3 + 5*v**2 + 4*v - 6. Let x(h) = -3*h**3 + 4*h**2 + 3*h - 5. Let y(z) = 2*u(z) - 3*x(z). Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25673561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.418754 - 0.247426. Round m to 2 decimal places.\nAnswer: -2.67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 11*y**2 - 1. Let j = 20 + -9. Let c be u(j). Let g(n) = -n**3 - 2*n**3 + 2*n**3 - 1. Calculate g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 2. Let p be (0 + -1 - w)*-10. Let u(o) = o**3 - 8*o**2 - 12*o - 12. What is the tens digit of u(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b04 (base 12) to base 4.\nAnswer: -303310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9257*h**2 + 4*h - 11 - 6*h + 10101*h**2 + 11 to the form c + q*h**2 + v*h and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**8\/8960 + s**7\/1120 - s**4\/6 - 3*s. Let o(y) be the third derivative of t(y). Factor o(p).\nAnswer: 3*p**2*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -12\/49, -586, -2\/9, -3, -2\/3?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from lilliiilkkllikkiil.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -3*i**3 + 24*i**2 + 13*i + 11. Let l be w(10). Let a be l\/(-54) + 1*1\/(-2). Solve -a = 9*p - 11*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide ((-760)\/(-72) - 11) + (-37596)\/(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1995)\/(-60) - 2\/8. Let q = 42 - v. Let m(j) = -j**3 + 10*j**2 - 5*j - 12. List the prime factors of m(q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(68) + 1)**2 + 5)*-5 - ((-2*sqrt(68)*6)**2 + -2)).\nAnswer: -60960 - 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -c + 3*n, 1 = 2*n - n. Let i = 8 - 14. Let h be 4\/(-22)*i\/(-6). Put h, c, -2\/7 in descending order.\nAnswer: h, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -6*((sqrt(567) - (sqrt(567) - (sqrt(567)*2 + sqrt(567)) - sqrt(567) - sqrt(567)))\/sqrt(9) + 1))**2 + 3 + -4.\nAnswer: 900*sqrt(7) + 56724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/(-22) + (-2)\/11. Let m(w) = 6*w. What is m(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*h*o*p**2 + 3*h*o*p + 193695*h*o - 21*h*p**2 - h*p - 2*h + 6501*o*p**2 - 2*o + 2*p**2 - 2*p wrt p.\nAnswer: 10*h*o - 42*h + 13002*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 155134*p - 155069*p = 2925 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 13*a**3 + a**2 + 3*a - 10. Suppose -3*q = 5 - 8. Let l be -2 - (2 - (q - 3)). Let z be r(l). What is z rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z - 3*z - 453*z**2 + 944*z**2 - 506*z**2.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118196 = -16*x - 61683 + 76719. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 2587?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 91.8752ml to litres.\nAnswer: 0.0918752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c = -62351 - 164973. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*j**2 - 896*j + 383*j + 492*j in the form d*j**2 + r + a*j and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -3*k - 145. Let d(v) = 932*v. Calculate b(d(l)).\nAnswer: -2796*l - 145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3 - 2*r**3 + 3*r**3 + 0 + 8*r - 7*r**2. Let c be z(6). Calculate the lowest common multiple of 14 and 6\/c + 16\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = 5*r, o - 4*r - 20 = -2*o. Suppose -3*q + o*q + 159 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -418376445354.9960042 + 418376408149. Let z = 37206 + p. Let b = 0.004 - z. What is b rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/6 - 3*a**2. Determine j(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from crrcrrrrr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7\/6 in -1, 2\/3, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 8617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of 6 + 2*z + 7\/2*z**2 - z**3 - 1\/12*z**4. What is c(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1005*v - 69*v**2 + 70*v**2 + 970*v.\nAnswer: v**2 - 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -1 - 1 + 68*d**2 + 1 - 71*d**2. Suppose -28 - 72 = 4*r. Let b be r\/20 + 1\/4. Determine h(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42ab8 (base 14) in base 2?\nAnswer: 100111010111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0636598 rounded to three decimal places?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 60 = 0, -n + 4 = -4*j - 0*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 3 + 2, -15 = -4*w - x. What is the second derivative of 3*m + 0*m - 4*m - m**5 - 2*m**w wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -83 in 95, -2\/5, -0.13, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144 = 33*j - 87 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6655 - 6660 - (-2 + 0 + (2 - -45))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, f: 4}. What is prob of picking 2 f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 + -6. Let i be ((-6)\/(-3))\/(4\/c). Suppose 6 = i*u + 5*x - 13, 4*u = x + 10. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -3, 6, -50057 in decreasing order.\nAnswer: 34, 6, -3, -50057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -6*j - 1. Let k(i) = i**3 - 5*i**2 - 8*i + 6. Let q be k(6). Let w(f) = 6*f + 1 + 0 + 1 + f. Let h(a) = q*m(a) - 5*w(a). Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -26186 to the nearest one hundred.\nAnswer: -26200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3*(-3)\/(-9) - -3. Let l be (17\/(-17))\/((-1)\/w). Suppose 47 = l*n - 275. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**2. Let x(q) be the second derivative of 37*q**4\/12 + 11*q. What is x(f(i))?\nAnswer: 148*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - n = -3*w + 20, 5*n - 36 = -4*w. Sort -5, -9, 2, w in descending order.\nAnswer: w, 2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 4*o**2. Suppose -4*k = -2*z - 36 + 28, -5*z + 25 = 5*k. Suppose 3*y = -y + 8. Let i(f) = -f**2 + 2*f**y + f**2 - 5*f**z. Calculate m(i(c)).\nAnswer: 36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of 11*y**5\/60 - 8*y**3\/3 - 7*y**2. What is the derivative of l(p) wrt p?\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6362225?\nAnswer: 5, 254489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggkmmmgkskgggkk. What is prob of sequence kgk?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 46*p**3*v - 332*p*v + v - 35986 wrt p.\nAnswer: 138*p**2*v - 332*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 440678.\nAnswer: 2, 7, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 + 12. Let x be (-346)\/140 - (-10)\/z. Let p = x + -1\/35. Which is the smallest value?  (a) 0.5  (b) 3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3269, -3270, -3271, -3272?\n\"Answer: -k - 3268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 19 + 9 - 743*o.\nAnswer: -743*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 50382291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -380 divided by 20.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 + 18075.91014\nAnswer: 18076.01014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 711320 (base 8) in base 2?\nAnswer: 111001001011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8063 - -314495\/39. What is the common denominator of 63\/26 and q?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 19*u**2 - 17*u - 21. Let g(a) = -9*a**2 + 8*a + 10. Let t(o) = -13*g(o) - 6*p(o). Let b(y) = -y**2 - y - 1. Give -3*b(r) + t(r).\nAnswer: 6*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b**2\/5 - 12232*b\/5 + 85722\/5 = 0.\nAnswer: -6123, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dfdrdfdfrrhhhdrddhd?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = h - 5*a, -h + 4*h + a - 17 = 0. Suppose 0*w + 370 = -h*w. Let x be (-1)\/(-2 + w\/(-38)). Calculate the greatest common factor of 95 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**2 + 2*o - 1. Suppose -4*h - 2*f - 10 = 20, -h - 5*f - 3 = 0. Let s(j) = -j**2 - 9*j - 5. Let v be s(h). Determine q(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 - -85. Solve 0 = x + 2*u + 12, -2*x - 2*u - 3*u = f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, m: 5, j: 2, z: 1, c: 8, s: 1}. What is prob of sequence cmn?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + 45 - 116*g - 6*g)*(19*g**4 + 11*g**3 - 17*g**3 + 10*g**3).\nAnswer: -2318*g**5 - 488*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 2. Let q be d(0). Let m be ((-14)\/(-21))\/(q\/(-24)). Suppose 3*g + m = g. Let c(w) = -w**2 - 7*w - 3. Give c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of 0 - 53*s**2 - 1\/6*s**3 + 0*s - 49\/12*s**4 + 0*s**5 - 11\/10*s**6. What is the second derivative of k(z) wrt z?\nAnswer: -792*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -44\/49275 and 67\/2540.\nAnswer: 25031700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 <= -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 296*q**6 - 5*q**3 + 631*q**2 wrt q.\nAnswer: 35520*q**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 450073, 1801880, 4054891, 7209106, 11264525?\nAnswer: 16221148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*g**3*j**3 - 125226*g**3*j**2 - 143160*g*j**3 + 45*j**2 wrt j.\nAnswer: -36*g**3 - 858960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9200509 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 5*g**2 + g - 3. Let c be y(8). Let w = -132 - c. What is the remainder when w is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 46 + 32 = 0. What is the remainder when 33 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 18*o - 24. Let c be d(-12). Let s = c + -29. Calculate the remainder when s is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 12451?\nAnswer: -3\/12451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.72 and 15654489.\nAnswer: 15654489.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 10. Let l be g(-5). Suppose -q + 7 = l. Suppose -5 = -7*w + q*w. Solve 0 = -2*v - w - 3 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or 0.132?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 7:01 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 3*b = 160. Let m(p) = -p**2 + 8*p - 5. Let c be m(5). What is the greatest common factor of c and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -14299504225583.\nAnswer: -14299504225583.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 0. Let l(f) = -11*f - 72. Let c be l(-7). Put -5, x, c in decreasing order.\nAnswer: c, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(-338)*13*-12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1079789 or 1079777?\nAnswer: 1079777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 270 and 92502?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + (-1827)\/116 + 8\/32.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 2*n + 3*n)*(n**4 - 2*n + 1055*n**2 - 1055*n**2 + 293*n**3).\nAnswer: n**5 + 293*n**4 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112 - 57 + 6*f - 55 + 23*f.\nAnswer: 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 86532 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7377690 divided by -5?\nAnswer: -1475538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.0892 - 173.3308. Let y = -172 - x. Let c = 1.420059 - y. What is c rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - -14 - (-2226)\/112 - (14\/16 + -1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.8678409 to 2 dps.\nAnswer: -5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.023 - 4.977. Let y = -1.3 + 1. What is the nearest to -3\/8 in -2\/9, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 times -332089\nAnswer: -8966403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5*44\/(-385))\/(10\/(-7))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36 divided by -25.\nAnswer: 36\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 21 and 26.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 3*m + 93 = 0, -w + 5*m - 109 = -4*w. What is the remainder when 125 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**2 - 7012*o - 6146018 = 0 for o.\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(-6)*k))\/k**3*k**0\/k*k\/k**(-2))**(-10\/17) assuming k is positive.\nAnswer: k**(-50\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 16. Suppose -p = -k - 3*j + j, 4*j - 17 = 3*k. Suppose -2*g + 9 = k. What is the smallest common multiple of g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 18*n + 5*n**2 + 2*n**2 + 12*n - 11 - 40*n - 6*n**2. Let u be r(12). Solve 7 = 10*h - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11193 by 3731.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 82 = 6. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 45*y**2 + 138*y + 3. Let w(v) = 167*v**2 + 554*v + 12. Give 11*m(i) - 3*w(i).\nAnswer: -6*i**2 - 144*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 144 and 624?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -420*g - 660. Calculate s(-3).\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -32. Let l = -63 - -143. Calculate the highest common factor of q and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/10, -2, 2\/3, -3 in increasing order.\nAnswer: -3, -2, -3\/10, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dddb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(330) - sqrt(330)*-3 - sqrt(330)) + sqrt(330))\/sqrt(11))\/sqrt(10))**2 - ((sqrt(162) - sqrt(18))\/sqrt(6) - sqrt(6)\/sqrt(18)).\nAnswer: -5*sqrt(3)\/3 + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 39709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4948 - 3167. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 5*i - 608, i = 3*i + 8. Is 33 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1087852?\nAnswer: 2, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -5*m**3 - 18*m - 5. Let t(z) = -5*z**3 - 17*z - 4. Give -5*t(q) + 4*u(q).\nAnswer: 5*q**3 + 13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 510 divide 213242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f*y**3 - 115*f*y**2 + 2*f - 44*y**6 + 2*y wrt y.\nAnswer: 18*f - 5280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4426 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 3*u - u)*(0 + 1 + 1) - u + 2 - 2 - 13 + 2 + 1231*u + 0 + 11.\nAnswer: 1236*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(1 - (0 + -1)). Let c be 3*4*4\/6. What are the prime factors of c*(d\/2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10 + 7*d**2 + 84069*d - 84069*d)*(-d + 0*d + 2*d)*(3*d - 4*d - 2*d).\nAnswer: -21*d**4 - 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 9*o + 466 + 3*o - 442 + o**2. Calculate the smallest common multiple of 18 and l(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.742 plus -13375.52?\nAnswer: -13373.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -4*o + 4. Suppose 2*z - 6 = 2*a, -5*a - 3 = -z - 10*a. Determine u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -62*t + 3039. Let x be s(48). Solve 70*j - x*j - 21 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 10342  (b) -0.3  (c) -0.2  (d) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 380 and 722?\nAnswer: 7220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1516629 and 361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rjjsrasprmprjaajjssa. Give prob of picking 1 j, 1 m, and 1 s.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2137519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1494 + 1039. Let m = -402 - y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 4*n**3 + 14*n**2 + 8*n - 88. Let b(s) = -s**3 - 5*s**2 - 3*s + 30. Let i(m) = 20*b(m) + 6*z(m). Factor i(j).\nAnswer: 4*(j - 3)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of s**8\/84 - 8*s**7\/15 - 61*s**6\/30 + 28*s**5\/15 + 10*s**4 + 559*s**2. Suppose w(x) = 0. What is x?\nAnswer: -2, -1, 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 20, 17, 4, -25, -76, -155, -268?\n\"Answer: -l**3 + l**2 + l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 - 22*k + 46. Let i be x(20). Suppose i*o = 12*o - 690. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 208, 1093, 2680, 4969, 7960, 11653, 16048?\nAnswer: 21145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 8*h - 31. Let y be r(3). Let n(b) be the first derivative of -3\/2*b**2 + y*b - 13. Calculate n(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3025300 rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51097 - -17142. List the prime factors of k.\nAnswer: 68239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 296112616 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 + 12*a - 6. Let b be g(6). Let l(h) = -11*h**2 + 4*h + 8. Let i(s) = -s**2 - s - 1. Let q(n) = i(n) - l(n). Is q(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3500895186.\nAnswer: 2, 3, 829, 234613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -2 - 7*z - z**2 + 0*z**2 + 0*z**2. Suppose 29 = -7*g - 13. What is n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 30 = 2*h, 23 = -0*h - 2*h - 3*i. Let q = h + 7. Let a(k) = k**2 + 5*k + 4. List the prime factors of a(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -23860.\nAnswer: -23857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 16*r**3 + 8*r**2 + 16*r + 5. Determine c(-2).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -4*w, 4*b - 3*w + w = 2. Let j(u) = -u + u + u**b. Let r(i) = -6*i**2 + 2*i**2 + 0*i**2 + 7*i**2. Give r(j(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/8 + 39\/(-60). Let u = -16 + 11. What is the second biggest value in v, u, 0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1111 + -277. Calculate the lowest common multiple of 1390 and c.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -147, -16, 115, 246, 377, 508?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -5771.7 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5028675 >= 5028675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 15895321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3257833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/3870366 and 95\/3824.\nAnswer: 30962928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -70.27 - -0.27. Let g = -68.98 - i. Let v = g - -0.72. What is v rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 3*d**3 - 64*d**2 - 18*d + 820. What is y(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 166814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 6*x**2 + 11*x - 13. Is p(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2068 + -2065. Which is the closest to 8?  (a) t  (b) 1\/5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 12:44 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86443 - 7291 = -449*n + 1397*n + 15286 for n.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i + 5. Let v be o(0). Suppose 4*g + 4 = 5*z - 26, -v*g - 31 = -3*z. Suppose 4*u + 798 = 2*c, z*u - 5 = u. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*o = -95*g + 39*o + 655, -2*g + 12 = -o for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 64 + 10. Let g = 39 + c. Is ((-1206)\/(-24))\/(g\/32) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 303, 3\/5, -62 in descending order.\nAnswer: 303, 3\/5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-366)\/42 - 4\/14. Let d = -6 - k. Find the first derivative of -d + 2 - q - q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 + 1290*n**2 + 139104*n + 4447872.\nAnswer: 3*(n + 72)**2*(n + 286)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.002746544 to five dps.\nAnswer: 0.00275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -225*d**4\/2 + 86145*d**3 - 32959069*d**2\/2 - 4399138*d - 293378.\nAnswer: -(d - 383)**2*(15*d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10704 is divided by 192.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 120 * 0.0423.\nAnswer: 5.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x + 9. Suppose c + 6 = 2*t, 15 = c + t + 4*t. Calculate y(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 + 7. Let h(u) = u - 1. Let x(o) = -4*o + 4. What is r*x(i) + 6*h(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -19. Let l(u) = 2*u**2 - 2*u. Let r be l(n). Suppose 3*m - 7*m + r = 0. Solve -m = 5*s, -2*k + 5*k - 5*s - 21 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w - 43. Let u be q(-37). Let l(f) = -7*f**2 + 4*f + 3. Let m(h) = 6*h**2 - 3*h - 3. Calculate u*m(x) - 5*l(x).\nAnswer: -x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -40*f + 74. Solve 2 = -f*a - 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27596 greater than 27598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3185*b**6 - 82*b**3 - 5*b**2 - 1124*b + 47 wrt b?\nAnswer: 382200*b**3 - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s - l - 1 = 0, -5*l + 3 + 24 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/3 + 105\/2565*19. Let m = -1 - -3. Solve -4\/9*g**3 + 2\/9*g**4 + 2\/9*g + 2\/9*g**5 + 2\/9 - a*g**m = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u + 3*u = -160. Suppose 14 = -3*k + f, -4*k - u = -0*k + 4*f. Let a(j) = j**2 + 8*j + 6. What is a(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/(-2))\/((15\/108)\/(500\/840))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - a**2 + 1 + (-2 + 4*a + 2 + (0 + 2 - 1)*(2*a - a + 0*a))*(-2*a + 5*a + 4*a)*(0 + 2 - 1) to h*a + j + n*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*x = -27*x. Factor -3\/2*o**2 - 3\/2*o + x.\nAnswer: -3*o*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*g**3 + 16 - 3*g - 9*g**3 + 3*g.\nAnswer: -5*g**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3a0 + -2?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 207 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 5*r**2 - 120*r - 1280 = 0.\nAnswer: -8, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00027463771769 rounded to 6 dps?\nAnswer: -0.000275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.4 + 8.4. Which is the nearest to -2\/5?  (a) -5  (b) 10  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1127237769 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 85, 131, 177, 223, 269?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-88826)\/4)\/(4\/((-24)\/3)). Suppose o = 5*v - 4*v. Let s = v - 19413. Round s to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.53 + -0.13. Let p = 0.2 - 0.2. Which is the closest to p?  (a) -1\/2  (b) -0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -38.035 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -818, -1635, -2452, -3269, -4086, -4903?\nAnswer: -5720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 + 1 - (397 - 391)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 10120509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -329, -364, -399?\n\"Answer: -35*u - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -12. Let n be 2\/((-3)\/((-93)\/2)). Let j = n + z. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.153  (b) 19  (c) -2  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*r**3 - 15*r - 10 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2791106, -2791222, -2791338?\n\"Answer: -116*z - 2790990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/5, -4, -0.48, -10819?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1311 - -111?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 6*i**2 - 5*i + 6. Let n be o(5). Find the third derivative of -6 - 2*d**4 - 2*d**2 + n wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -119 + 158. Which is greater: 33 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3633.76013 - -3634. What is d rounded to 2 decimal places?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = -5*x + 139 + 2, 2*x - 55 = n. Suppose -15*d = -x*d + 8411. What are the prime factors of d?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -894533, -1789066, -2683599, -3578132, -4472665, -5367198?\nAnswer: -6261731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*t - 8. Suppose 4*w = t*z + 56000, 5054 = w + 2*z - 8946. Let j be 1 - 1 - w*4. Round j to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6809 is divided by 862.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of -c**5\/30 - 12*c**2. Let q(w) be the third derivative of 0*w**3 + 0 + 0*w + 1\/60*w**5 - w**2 + 0*w**4. Give q(x(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1074136 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 8 = -111*c - 119*c - 112*c + 345*c, -28 = 9*c - 5*o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6781, -15, 4, -0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/7, 1, 37994\/5, -0.059 in decreasing order.\nAnswer: 37994\/5, 1, -0.059, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1675, -18, -5, 0, 3, -4 in decreasing order.\nAnswer: 3, 0, -4, -5, -18, -1675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 + 864*h + 1722. What is m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9662.\nAnswer: 2, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -216*w**2 + 218*w**2 + 121*w**3 + 1 + 27*w**3 to the form z*w**2 + s + k*w + f*w**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = -2*z - 8, 618*k = 621*k + 3*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - 1)*(-20)\/300. Let r = 2.5 + 0.5. Which is the third smallest value?  (a) r  (b) 4\/7  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4019808*a**4 + 4*a**2 - 211308*a + 2.\nAnswer: -96475392*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2854 - -25714\/9. Which is bigger: 4 or l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (t + 0*t + 3*t)*(-1 - 1 + 4) - t + 3 - 3 + (4*t - 2*t + t)*(2 - 4 + 5) + (0 + 0 + 4)*(71 - 71 - 18*t) + t - 4*t + t to l*t + m and give l.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 + 6*y + 66. Let l(x) = 16*x. What is l(i(a))?\nAnswer: 32*a**2 + 96*a + 1056","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6581 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + (5 - 11))\/(-7 + 10)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -347 - -452. What is the third derivative of -i*f**2 - 16*f**3 + 10*f**3 + 6*f**3 + 14*f**4 wrt f?\nAnswer: 336*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 326 and 128.\nAnswer: 20864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -3*w - 2 + 5*w - 7*w - 4*w. What is j(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/9, -0.1, 1.93, 2 in descending order.\nAnswer: 2, 1.93, 4\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 350 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -9*y + 4. Let a = 684 + -673. Calculate the remainder when l(-3) is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -0.5  (c) 1  (d) -23  (e) -77  (f) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 32622 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -212167911 + 212167913.61000331. Let z = 2.61 - d. Round z to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 1\/90*f**5 - 1\/9*f**3 + 0*f + 0 - 13*f**2 - 1\/180*f**6 + 1\/36*f**4. What is t in z(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 33 = -5*p, 2*p - 268 + 287 = 5*y. Let l = 6545 - 1426807\/218. Is y bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4544194 to the nearest integer?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.5 + 1.9. Let a = u - 0.400095. What is a rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, p: 8, x: 3, v: 2}. What is prob of sequence vj?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence htg when three letters picked without replacement from tgggtthtgt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5*sqrt(15)*-2)\/sqrt(5).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3183216963?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 (base 13) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*o + 3*y, 4*o + 2*y - 2 = 18. Let n = 108652.8 - 108653. What is the closest to 0.4 in o, -2\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 1585*y + 92. What is the units digit of d(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 + -6. Suppose 0 = -4*q + 2*q - h + 8, -h = q - 3. Suppose 20 = 5*m + q. Calculate the highest common factor of d and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 84353, -14, -4, -2 in ascending order.\nAnswer: -14, -4, -3, -2, 84353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**3 - 295866*i**2 - 1479372*i - 1183504 = 0.\nAnswer: -4, -1, 147938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 432 and 288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 15*k = -450, 37*f - 35*f + 30 = k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13355342 a multiple of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4, -12655, -5, -3, -7.\nAnswer: -12655, -7, -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2247?\nAnswer: 3, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-45 - 2) + -1 - (-55149 + 55137)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 137 = 7*n, -57 = 3*n + 1080*v - 1077*v for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -8\/3*d - 155 - d**2 + 2\/9*d**3. Factor h(p).\nAnswer: 2*(p - 4)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 3763.5\nAnswer: -1505.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*j = 29*j - 147 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23.8 - 12.1. Let h = 12 - o. What is the closest to -0.1 in h, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -p - 2*p - 27, 4*p + 7 = -3*o. Suppose 0 = -o*c + 3*z + 24, 5*c + 5*z - 3 = 7. Solve j = -0*j - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 245396, 244997, 244598, 244199?\n\"Answer: -399*y + 245795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(360) + sqrt(360)*1)*2 + sqrt(360))*-5)\/(sqrt(56)\/(2*(sqrt(7) - sqrt(175)))).\nAnswer: 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -18 - -23. Solve k*a - 8*a = -3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 4*z - z + 25 = 0, -2*o + z - 7 = 0. Let t be (-1 - o)*(-10 + 13). Let y(a) = -3*a**3 - a**3 - 4 + t*a - a**2 + 3*a**3. Give y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -990185, -1980397, -2970609?\n\"Answer: -990212*u + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 12:01 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/63*-3 + (-22992)\/20118?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 3*v + 109. What is j(47)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/49*(-2058)\/3528.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1 = q, -5*w = 5*q + 6 - 1. Are 1\/8 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 1) + (-72 - -74 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60355 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f**2 - 7*f - 7. Let b be y(-6). Let d = b - -1. Differentiate -2 + 2*k - 2*k + d*k + k**3 wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + (-30)\/(-20))\/(2\/16). Which is the closest to -0.1?  (a) -4\/9  (b) w  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9778362 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = -i + 70. Suppose -3*c - 37 + i = 5*l, 3*l = -12. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -28 - (-23 - 3 - (107 + -118))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8906863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -87b7b + 2a6?\nAnswer: -87895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1132687 is divided by 94385?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 8 = -3*b - 7, -i + 2*b + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -12*j - 2. Give v(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (-10 + 23 + -11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*z = -7, 0*w - 3*w - 2*z = -9. Calculate the highest common divisor of 7 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 327 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1257 - 1582 = -66*l - 101*l. What is the third smallest value in 1\/5, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 45 - 1040?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73622340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, 0.033, -1, -32\/15, 1\/12, -2\/9?\nAnswer: -32\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000051856 rounded to seven dps?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 28 + 16 + 3*n**2 - 28 as j*n**2 + x*n + p and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**3 + z**2 + 7*z + 11. Let u = -160 + 164. Let p be y(u). Put -5, -2, p in increasing order.\nAnswer: p, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -523 - -1302. Calculate the greatest common factor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 5*o - o. Suppose -o*h + 5 - 41 = 0. Which is the smallest value?  (a) 0.3  (b) -1\/7  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.3000168 - 4.3. What is l rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 885, 1769, 2653, 3537?\n\"Answer: 884*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2*g - 3*g - 3 = 0, n + 5*g = -6. Let h be (n + -6 - -2) + -1. List the prime factors of (-8)\/h*(-312)\/(-16).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/2)*u\/(u\/(u\/((u\/(u*u**0))\/u))*u*u)*u**1*u\/u**(-1\/15))\/((u\/(u**0*u)*u)**(-47)\/(u**(2\/21)\/u**6)) assuming u is positive.\nAnswer: u**(8959\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((5*u + u - 5*u)*(0 - 4 + 3) - 3*u - 4*u + 5*u + (-13*u - 12*u + 4*u)*(4 - 6 + 1))*(-2*u + 0*u + 4*u) to the form l*u + b + i*u**2 and give i.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 4*a**2 + 1. Let l(s) = 7*s**2 - s + 3. Let w(x) = -3*l(x) + 5*r(x). Let t(n) = -2*n**2 + 5*n - 7. Calculate -3*t(p) + 5*w(p).\nAnswer: p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 times -0.029?\nAnswer: 3.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.149 times -183767.9\nAnswer: 27381.4171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 PM and 5:48 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 5*y + 11 = y, 0 = 4*f + 5*y - 17. Let l(w) = 4*w**3 - 2*w**2 + w. Calculate the remainder when f + (1\/(-1) - -3) is divided by l(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3965 from -0.5.\nAnswer: -3965.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 6 = -2*t, 4 = 2*n - 3*n + 3*t. Let m(z) = -z**3 + 4*z**2 - 4*z - 3. Let g(x) = -2*x**3 + 9*x**2 - 8*x - 8. Let q(r) = n*g(r) - 5*m(r). What is q(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 3:36 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 34*u**2 + 26*u - 78. What is c(-35)?\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 273914 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 69.3 + -69.6. What is the smallest value in -0.5, -81, d?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -38, -87, -156, -245?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1701, 14562, 49499, 117558, 229785, 397226?\nAnswer: 630927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + 1. Let s(u) = u**2 + 2 + 0*u**2 - j. Let x be s(-4). Calculate the greatest common divisor of x and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*p**2\/2 - 39929*p\/4 + 8265\/2.\nAnswer: (p - 570)*(70*p - 29)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 179 - 177. Suppose -4*u + 4*z = 52, 3*u - 7*u = w*z + 40. Let g(d) = -13*d + 11. Let v(k) = -7*k + 6. Give u*v(j) + 6*g(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70433826?\nAnswer: 2, 3, 11738971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*h + 2078 = 1118 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 - 3. Solve w - 5*j = -1, d*w - 21 = -3*w - j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 2 = 3*j + 3*s + 3*s - 23, -40 = 2*j - 5*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -294*m - 1. Let d(f) = -f + 1. Calculate -4*d(k) - 4*p(k).\nAnswer: 1180*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of -7*z**4\/12 + 47*z**3\/6 - 28*z**2. Let l be d(8). Let j = l - -203. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7 + -10. Let i = x - -3. Let t = -46 + 47. Which is the nearest to i?  (a) 2\/19  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 373266 (base 9) to base 16.\nAnswer: 370cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/4168 and 79\/8336.\nAnswer: 8336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*h**4*t + 17*h**2 - 3*h*t + 296*t wrt h?\nAnswer: -8*h**3*t + 34*h - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of l**6\/30 - l**5\/60 + l**4\/12 - l**3\/6 - 4*l**2. Determine k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or -77\/10?\nAnswer: -77\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 3351.22866 and -32739.5.\nAnswer: -29388.27134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5984 divided by -187?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 13*r - 48. Let j(y) = -22*y + 80. Let a(n) = -5*c(n) - 3*j(n). Let o(w) be the first derivative of -w**2 - 2*w + 2*w + 1. Calculate a(o(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5 - s**4 + 6 + 5*s**2 - 7*s + 4. Let m(c) = 2*c**4 - 7*c**2 + 11*c - 7. Let z(n) = -7*g(n) - 5*m(n). Find the second derivative of z(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-266))\/((22\/1650*45)\/((-420)\/200)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**2 + 12*w - 24. Let p be d(-14). Let t(s) = 134*s - 83. What is the tens digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**6 - 1625*h**3 - 95*h**2 - 18?\nAnswer: -240*h**3 - 9750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/415301721 and -101\/4.\nAnswer: 1661206884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.5 + -1. Let r = -0.7 + 0.9. What is the closest to r in t, -2, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*k - 12*k = -3*m + 33623, -4*k = -5*m + 56031. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 24*m - 18*m. Solve g = -2*x - 13, 0 = x - m + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 1018 = -2*x, -15 = -4*x - 19. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (13 - 14) + 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -469 - -18. Let f be 2\/(-10) + (n\/(-55) - 8). Solve 3*v - 15 + f = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 18*p**2 - 5*p - 2. Is y(-4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -337888.178 - -2.\nAnswer: -337886.178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 70, 132, 180, 208, 210, 180?\n\"Answer: -o**3 - o**2 + 72*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2\/15)*w*(w**(12\/11)\/w)\/w*w*w)**(-31))**(-15\/7) assuming w is positive.\nAnswer: w**(2356\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 362308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 307727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:34 AM and 5:06 AM?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 11*z**2 + 11*z. Let f(q) = -16*q**2 - 17*q. Calculate 5*f(w) + 7*t(w).\nAnswer: -3*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 4:12 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - f - 1 + 0 = 0, 0 = -4*m - 3*f - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -830, -2419, -5 in decreasing order.\nAnswer: -5, -830, -2419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-2))\/((-65)\/(-52)). Which is the nearest to -0.06?  (a) v  (b) 4  (c) 6  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26405 - 10*z - 26405.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)*1*-3 - sqrt(156))\/sqrt(12).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)\/(-1*sqrt(294)) - ((sqrt(108)\/sqrt(4) - sqrt(27)) + -1)**2)*1.\nAnswer: -1 - sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000434 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a + 53100*a**3 - 105914*a**3 + 53077*a**3.\nAnswer: 263*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2634 - -5?\nAnswer: -2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7332 times -2029?\nAnswer: -1487.6628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 - 10*g**2 + g + 19. List the prime factors of v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1537263.9 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) -1\/31  (b) 0.51  (c) 299  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 861420 by 6.\nAnswer: 143570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of l**3\/6 - 5*l**2\/2 + 10*l. Give b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -7*m**3 - 17*m**2 + 39*m - 3. Let q(o) = 6*o**3 + 12*o**2 - 39*o + 2. Calculate -3*q(h) - 2*y(h).\nAnswer: -4*h**3 - 2*h**2 + 39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 38\/(-8) - (13 - 18)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l + 22. Calculate d(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62 is divided by 53?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 5*k - 550. Suppose 4*d = 3*r - r - k, -4*r = 2*d - 260. Suppose -2*t - 193 = -5*t + 2*l, 0 = -t + l + r. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 4*l**3 + 46*l**2 - 22*l + 17. Let j be d(-12). Let c(i) = -i**2 - 7*i - 6. Calculate c(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 8*o - 3. Let q(z) = 7*z - 2. Suppose 20*n = 25*n + 15. Determine n*q(f) + 2*w(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3719\/12 - -313. Calculate the common denominator of 28\/45 and q.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0.3, 0.4, -3\/2, -1\/7?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1584680 rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4658, 9016, 13374, 17732, 22090?\n\"Answer: 4358*l + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1222603 and -0.5?\nAnswer: -611301.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000117298 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -27407 bigger than -27441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3670?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.047 * 98601.\nAnswer: -4634.247","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve 19*k - 22*k + 33 = -6*i, 9*i - 4*i - 12*k = -151 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from cusxxxtxt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -366*i**4 + 5*i**2*o - 3*i**2 - 88305*o wrt i?\nAnswer: -1464*i**3 + 10*i*o - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12398176517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 44, 46, 48, 50, 52?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 2 = 1. Suppose -4*r - 36 = 4*b, 6 = -2*b - 2*b + 2*r. Let t(h) = 31*h - 5. Let i(v) = 16*v - 3. Let a(u) = b*t(u) + 7*i(u). Give a(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*3\/5*60\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-7 - -5)\/(4\/(-10)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*i**4*q - 38*i**3*q - 24*q wrt i?\nAnswer: -8*i**3*q - 114*i**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -205, -207, -209, -211?\n\"Answer: -2*j - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/2568)\/(75\/(-10)*(-6)\/(-72)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 380*b - 605. What is the hundreds digit of h(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 42*b**3 + 36*b**3 - 1 + 159*b**3 + 7.\nAnswer: 237*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from {b: 2, t: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2.5 * 0.2\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/115203 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -6213 times -2\nAnswer: 12426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/5, -2, 13743.231 in ascending order.\nAnswer: -2, 4\/5, 13743.231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k - 8944 - 9487. List the prime factors of k.\nAnswer: 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 4759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 109 divide 8654491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/7 - 15\/(-21))\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -32. Solve -5*v - a = 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/(13*130\/338)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4337, -8677, -13015, -17351, -21685, -26017, -30347?\n\"Answer: o**2 - 4343*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**3\/9 + 884*o**2\/3 + 73010*o - 17287200 = 0. What is o?\nAnswer: -735, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -319 + -3?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.27 + -0.27. Which is the nearest to -2\/5?  (a) o  (b) -1\/4  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9604 and 1036?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -278*k**3 - 18852*k - 105*k**3 + 18852*k.\nAnswer: -383*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 188\/9*x**2 - 2\/9*x**3 - 124\/3 - 182\/9*x.\nAnswer: -2*(x - 93)*(x - 2)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1179428414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*u**3 + 21*u**3 - 11*u - 2*u**3 + u**2 to the form c*u**3 + y*u**2 + v + x*u and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-12))\/(45\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of x**6\/120 - x**5\/10 + x**4\/4 - x**3\/6 + 3*x**2. Let t = -57 + 61. Determine m(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 11*a**2 + a + 1. Let p be n(3). Suppose 0*q - j - p = -3*q, 3*q + 2*j = 100. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -505 - -509. What is the greatest common divisor of 196 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of -n**4\/6 - 2*n**3\/3 - n**2 + 68*n. Factor k(b).\nAnswer: -2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*u - 412 = -129*u. What are the prime factors of u?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -109 - 31 = -4*x. Let y be (-2)\/7 - (-90)\/21. Suppose -2*h = -4*g + 36, -11 + 30 = 5*g + y*h. What is the greatest common divisor of x and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 924*g**2 + 16*g**3 + 3*g**4 - 7*g**3 - 918*g**2 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208 divided by 5\nAnswer: 208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fof when three letters picked without replacement from {n: 1, f: 4, y: 1, o: 4, x: 7}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-4))**43)**(1\/34) assuming b is positive.\nAnswer: b**(-86\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*t - 3*t. Solve -2*g - 5 - 1 = t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58 - 5*x**3 - 58.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*(-2 - (-2)\/4). Let f be (-1)\/b - (-1)\/3. Is f <= -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 0.13  (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198986?\nAnswer: 2, 37, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(-1\/8))\/(a*(a\/(a**(1\/7)\/a))\/a))\/(a*(a**1\/a)\/a)**(2\/85))**(1\/44) assuming a is positive.\nAnswer: a**(-41\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-616)\/(-35) + 2\/5 - (-1 - 8)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b - 9. Let o(m) = 5*m - 35. Let l(q) = -6*o(q) + 25*u(q). List the prime factors of l(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -164, -0.06, 2\/3 in decreasing order.\nAnswer: 3, 2\/3, -0.06, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*u - 5*u + 2 - 6*u - 4*u in the form i*u + y and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -8a132 (base 12) in base 14?\nAnswer: -4ab66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -37.4946 - -37.58. Let q = -0.2 - -0.3. Let m = q - l. What is m rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-355)\/35 - -10) + (-88)\/(-28). Let s be (1 - (2 - 3)) + 56. Factor s*m + r*m**2 + 22*m + 400 + m**2.\nAnswer: 4*(m + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196 divided by -3.\nAnswer: -196\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -4. Let g(u) = l*u**2 + 7*u - 7*u. Let k(i) be the second derivative of -19*i**4\/6 - 689*i + 1. Determine k(g(o)).\nAnswer: -152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q = -957*y + 961*y - 8, q = -4*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6283331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2143424 + 4?\nAnswer: -2143420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 - 31*j**2 - 84*j + 7. Let t be w(-28). Are -4\/3 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 - 9*n - 2. Let w = -177 + 179. Let v be (-21 - -17)\/(w\/(-4)). Give d(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -378.22 + -0.13427.\nAnswer: -378.35427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from reek. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 38*i + 5. Let r be u(6). Suppose 6*y - r = 1495. Suppose 4*g - 576 = -4*b, 2*g - 2*b - 2*b = y. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/44*(-1248)\/260.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 13*x - 12. Determine r(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 330 + -91. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 85*i**2\/2 - 23*i - 85. Is y(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, -162, 3022 in increasing order.\nAnswer: -162, -2, -1, 3022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 786526.7 decades?\nAnswer: 78652.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-90 - p - p + 97)*(-2*p**2 - 9*p**4 + 2*p**2).\nAnswer: 18*p**5 - 63*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**2\/4 + 387*x\/4 + 193\/2 = 0. Calculate x.\nAnswer: -386, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f**(-3\/2))*f)\/((f**(-3)\/f)\/f*f))\/(((f\/f**(-1\/3))\/f)\/f)**(-28) assuming f is positive.\nAnswer: f**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.084 times 0.37416\nAnswer: -0.03142944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 4944780600 to the nearest 1000000.\nAnswer: 4945000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 40, 79, 112, 133, 136, 115, 64?\n\"Answer: -l**3 + 3*l**2 + 37*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 25880 = l, -l + 2454 = -3*t - 23441. List the prime factors of l.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*y - 12 = -12*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1854280111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -21565*v - 16002.\nAnswer: -21565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36 - -38. Suppose m*a + 12 = -2*y - 2*y, -4 = -2*a + 4*y. Put a, 4, -5 in decreasing order.\nAnswer: 4, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2144369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xdp when three letters picked without replacement from dxpdddxdpxddxmpdpxm.\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 3:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 111994892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 94547 - 63095. List the prime factors of w.\nAnswer: 2, 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3*s + 4. Let j be (-6)\/((-4*(-5)\/(-30))\/1). What is z(j)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19.879991036 + -19.88. What is b rounded to 7 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*f**3 - 2*f + 5*f**2 + 8*f**3 + 5*f**3 + 9*f**3 to the form b + m*f**2 + v*f + u*f**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 + -1. Suppose -2*a + 24 = 3*q - 41, 0 = -3*q + 3*a + 60. Let l = q - p. What is the remainder when 35 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-12 + 6 - 17)*(2*h**3 + 0*h**2 + 0*h**2 + (-3*h**2 + 2*h**2 + 4*h**2)*(-2002 - 83*h + 2002)) to the form c*h**2 + r + w*h**3 + b*h and give w.\nAnswer: 5681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 6*j - 4. Let n(c) = 3*c + 1. Let r(l) = -k(l) - n(l). Suppose -2 = 5*g + 8. Is r(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -194109500089 and 0.013.\nAnswer: -194109500088.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -39112, -39113, -39114, -39115, -39116?\n\"Answer: -w - 39111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of 13*j**2 - 14 + 44\/3*j**3 + 1\/3*j**6 + 9*j**4 + 14\/5*j**5 + 6*j. Factor r(b).\nAnswer: 2*(b + 1)**4*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 1*(sqrt(1872) + -1) + sqrt(1872) - (-1*(3 + sqrt(13)) + sqrt(13) + -1*sqrt(1300)))**2.\nAnswer: 272*sqrt(13) + 15044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (284\/(-3260))\/((-60)\/(-100)) and -31\/489.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2206 + 214 = -157*v + 206. Solve -3 = 2*y - 5*p, -23 + v = -4*y - 5*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(-1*sqrt(1053))**2.\nAnswer: -3159","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 917420 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-12\/7)\/((m\/(m\/(m\/(m\/m**17))*m*m))\/m))**20)**(-25) assuming m is positive.\nAnswer: m**(55000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 7739.52 to the nearest 100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*b**2 - 1792300*b + 134394375 = 0. Calculate b.\nAnswer: 75, 358385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 a factor of 93997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - 1)\/(0 - 1). Suppose s - 3 = 6*s + 3*j, -2*s + 5*j = -5. Let n be (1 - -1) + s + 1. What is the second smallest value in p, -3, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -179 - -565. Let n = t + -386.0000157. Round n to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/38743 and 38\/29627.\nAnswer: 503659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48273 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v**3 + 2*v**3 - 2*v**3)*(-3*v - 6568*v**2 + 0*v + 20904*v**2 + 3*v).\nAnswer: 14336*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 985, 912, 839, 766, 693, 620?\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*(sqrt(152) + 3*sqrt(152) - sqrt(152)) - sqrt(152)) + sqrt(152))\/(-4*sqrt(288)) + -2)**2.\nAnswer: -5*sqrt(19)\/2 + 731\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -1\/5*a**6 + 0*a**4 + 0*a**5 - 9\/2*a**2 + 0*a**3 - 13*a + 0. Differentiate y(h) with respect to h.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*f**2 + 2*f**2 - 19*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-28)\/6*144\/(-42). What is the highest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8\/11)\/v**(-16))**22 assuming v is positive.\nAnswer: v**336","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + -4b?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - q**2. Let c(p) = 12*p**3 + 10*p**2. What is -2*c(d) - 20*u(d)?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 491039997 and 0.1?\nAnswer: 49103999.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 9*a - a + 5. Let l(v) = -3*v**2 + 6*v - 2. Let n(u) = -u**2. Give a*l(h) + 4*n(h).\nAnswer: -h**2 - 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (-1 - (-2)\/(-3)). Let o(u) = -u**3 + 20*u**2 - 9*u - 11. Let n be o(20). Let k = n + 951\/5. What is the closest to 2\/3 in k, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.8 - -11. Let h = -1.8019 - o. What is h rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/170 and -73\/30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 23*l**2 + 108*l - 175. Let j be y(-15). Which is the third biggest value?  (a) j  (b) 12  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n - 14530047*r + 14530044*r + 8 = 0, 0 = -4*n - 3*r - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b - 17*b = 18. Suppose -4*q - 5*o - 12 = -87, 5*q + 2*o - 115 = 0. What is the remainder when 1\/3 + (-438)\/b is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1259 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1100) + -2*sqrt(1100))*6 - ((sqrt(1100) - (-1*sqrt(1100))**2) + 0)) + -3.\nAnswer: -70*sqrt(11) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 485\/(-550) + 2\/11. Is g bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*s - 333 = 77. Solve s = 2*y + 2*u, y + 4*u = 5*y - 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(0 + 3 + -5). Suppose -4*l - u = -14, -2*l + 4*u + 7 = 3*l. Solve -y + l + 0 = b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/30 and 2\/16*(5546\/(-177))\/(10\/(-4)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -3\/8  (b) 19  (c) 0.04  (d) 5  (e) -0.4  (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - (-136)\/20 - 16\/20. Which is the fourth biggest value?  (a) 0.07  (b) -5\/3  (c) -3  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1*((-14*3)\/7 + 5). Let n = 7 + -11. Let m = -1 + n. Which is the nearest to w?  (a) 1  (b) m  (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from ddkddkkkkdkkkdkd?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 + 1 - (5 + (1 - -1)). What is the units digit of ((-5)\/l)\/((-5)\/(-820))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 52 = -2*p - 12*p. Let y be 2 - (-1 + (-2)\/16). Which is smaller: y or p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24408 less than or equal to 24411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + k + 5 = 2*r, 4*r + 3*k - 5 = 0. What is the common denominator of 237\/(-48) + (r - 2) and 1 + 1 + (-81)\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 6150950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - ((-6 - -26) + (16 - -16) - (-5 - 0)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5484, 5504, 5522, 5538, 5552, 5564, 5574?\nAnswer: 5582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of 0*w + 0 + 1\/60*w**5 + 1\/6*w**3 + w**2 + 1\/24*w**4. Let d(t) be the first derivative of g(t). Differentiate d(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 206654519?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*v - 88 = -244. Let j(q) = -13*q**3 + 6*q**2 + 6*q. Let s(g) = 26*g**3 - 13*g**2 - 13*g. Determine v*s(u) - 13*j(u).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 23*p - 28*p - 30 = 0, -2*p = 4*y + 24. Let k(m) = -m**3 - 5*m**2 - 3*m - 16. Calculate k(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = k + 16, 0 = -3*k - 4*d - 3 - 1. Suppose -2*y = k*y - y. Suppose y = 5*r + 25, -3*l - 3*r + 590 = -4*r. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 2*g - 5. Let p be (-4)\/18*(0 - g). Let u = 13 - 13.3. Is u > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.194 and 133775.\nAnswer: 25952.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 16) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 4 - (1 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 100133 (base 5) in base 6?\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 68027 - 29766. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2254\/(-35) - 4\/(-10). Let y = b - -49. Calculate the remainder when 43 is divided by (-2 - (-16)\/(-3))\/(10\/y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117893321 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-7 - -4) + (1 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*m - 72 = 4*m. Let i(w) be the third derivative of w**5\/60 - w**4\/8 - w**3\/2 - w**2. What is the units digit of i(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 29 = -2*t, -5*g - 89 = -10*g - 4*t. Suppose 2*y - 420 = -2*y. Calculate the greatest common divisor of g and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -4, -3 in decreasing order.\nAnswer: 19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14970\/7 + -2139. Let x = 0 + 2. What is the smallest value in x, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b - 11*b - 6*b = 0. Suppose b = -37*t - 1499 - 1239. Which is greater: t or -77?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4\/(-3))\/((-2)\/3). Let v be (-4 + 5)*30\/10. Solve w*p = 5 - v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1230667*n**2 + 4998633*n wrt n.\nAnswer: -2461334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 238*c**2 + 1677*c + 41. Give w(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3994, 3992, 3990, 3988, 3986, 3984?\n\"Answer: -2*s + 3996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-729)*-3 - (-28514148)\/296946?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**(-13))\/(k\/(k\/(k*k**(-5\/6)))))\/((k\/(k*k*k**(-1\/3)))\/k*k*k*k**(-13\/4)) assuming k is positive.\nAnswer: k**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 7*u**2. Let d = 39 - 46. Let n be i(d). Suppose 5*t - 22 - 173 = n. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 - 13*t + 46. Let n be s(7). What is the third derivative of 4*m**n - 28*m**2 - 90*m**2 + 13*m**2 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -35. Solve -5 = -3*u - m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.814 * 4\nAnswer: 3.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24389 is divided by 1166?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -9748388.53 + -84.01?\nAnswer: -9748472.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -1374 in increasing order.\nAnswer: -1374, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6307.427 - 6304. Round r to one decimal place.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1209*q**2 + 1243*q**2 - 3746*q**2 + 3 - 2*q + 1216*q**2 as s*q**2 + o + k*q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 199 = 2*k, -4*k + 2*t = -6*k + 194. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the third derivative of -g**6\/120 + g**5\/15 - g**4\/24 + 7*g**2. Determine k(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 e, and 1 p when four letters picked without replacement from dcpweccccd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -a**3 + 2*a**2 - 2*a**2 + (3*a - 2*a + a)*(4*a**2 - 2*a**2 - a**2) + 2*a**2 - 2*a**2 - 6*a**3 + 4*a + a**3 - 22*a + a**2 + 1 + 15*a.\nAnswer: -4*a**3 + a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 + -18. Solve 4*w = 5*x - 20, x = w + k - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 253 + -2272\/9. Let x(g) = g**3 + 6*g**2 - 2*g + 1. Suppose 2*l + 2*y = -16, -14 + 2 = l + 3*y. Calculate the common denominator of n and x(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -148 - 151 + 458 - 158. Let k(y) = -4*y + 5. Give 5*g(h) - k(h).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 17*a**3 + 3*a**2 - 8*a - 8. Let i = -394 - -198. Let d = i + 199. Let l(v) = -6*v**3 - v**2 + 3*v + 3. Calculate d*f(m) + 8*l(m).\nAnswer: 3*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) - (sqrt(33) - sqrt(297)\/(sqrt(9)*-3 + sqrt(9))))*5)\/((sqrt(66) + -4*(sqrt(66) + sqrt(66) + 2*sqrt(66) + sqrt(66) + sqrt(66)))\/sqrt(6)) + -5.\nAnswer: -5 + 5*sqrt(3)\/46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9574443893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 73 and 523070550.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -116154 divided by 3\nAnswer: -38718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1140\/(-1026) - 2\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {j: 2, h: 5, s: 1, o: 3, p: 5}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*i**2 - 2*i**2 - i**2)*(-5 + 5 + 4)*(217 + 516 + 390) in the form n + o*i + w*i**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -6*j**2 - 78*j - 31. Determine i(-15).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/5640 and 89\/10575.\nAnswer: 84600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -22 + -383 + 397 + -15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -7*(-1)\/(3\/30*2). Calculate the greatest common factor of 245 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - 52\/((-2912)\/(-294))\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) 2\/15945  (c) 3  (d) -21  (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 9 = -3. Suppose -n*a - 80 = 2*g - 295, -3*g + 2*a = -329. Let x = g + -103. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w = 15*y - 18*y + 3, 0 = 4*w + y - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-56)\/133)\/8*11\/(-22)*-8.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0858 and -0.4?\nAnswer: 0.03432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - 36) + 14 - (7 - -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-144)*48\/(-102)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 15, k: 5}. Give prob of picking 2 e.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from htfuyryh. Give prob of sequence hfyh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1\/21824 + -21819\/109120. What is the closest to -65 in 0, y, 5, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108, 99, 66, -3, -120, -297, -546, -879?\nAnswer: -1308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 55\/153 - 8\/17. Let y = -208\/3 + 70. What is the nearest to y in 0.3, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5620709 is divided by 1405092?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - g - 23 - 28 = 0, 2*g - 123 = -5*r. What is the remainder when r is divided by (0 - -14)*-4*(-6)\/24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1432, -1437, -1444, -1453, -1464, -1477?\nAnswer: -1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 100 - (-121 + 53) - 45\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15524?\nAnswer: 2, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 15\/2832127 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4a6 + 0?\nAnswer: 4a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/3 + 1724975*v\/3 - 574992.\nAnswer: (v - 1)*(v + 1724976)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.07554 - -3.12654. Let d = 3.8575 - x. Let t = d + -0.77. What is t rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(1\/6)\/l*l*l)\/l*l**(4\/5)*l**(-6)\/(l*l**(-2)*l))\/((l\/(l*l*(l\/((l**2\/l*l)\/l))\/l))**30*l\/l**3*l**(4\/5)) assuming l is positive.\nAnswer: l**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 14 = -4*g, 4*a = 4*g - 18 + 2. Let h be 3 - (3 - 7)\/g. Suppose -t + 19 = h. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((-6*-2*sqrt(102)*4)\/(sqrt(54)\/(sqrt(441)*2 + sqrt(9) - sqrt(9) - sqrt(9))))**2.\nAnswer: -33096960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 20362567.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - s = -11, -2*v - 4*s = 5 - 13. Factor -8 + 24*a - 22*a**v + 19*a**4 - 2*a**4 + 2*a**3 - 11*a**4 + 2*a**5 - a**5 - 3*a**5.\nAnswer: -2*(a - 2)*(a - 1)**3*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes before 9:48 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -19 + 10*x - 20 - x**2 + 3*x - 4*x. Give q(9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -8.6. Let l = 0.7 + -1. Let g = l - r. What is the closest to g in 2\/9, 2, -2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -143, -158, -169, -176, -179, -178, -173?\n\"Answer: 2*x**2 - 21*x - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1097*t = 1093*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*w + 8796 - 332 = 0. Is w a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1729 = 769*h + 3183 - 61818 for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + -5)\/(5\/(-20)). Let v(q) be the second derivative of -k*q + 1\/20*q**5 + 1\/2*q**3 + 1\/4*q**4 + 0 - 1\/2*q**2. Determine v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (2 - (-2 - -10) - (-3 + 3 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48328 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v - 3. Let b(o) = 5*o. Let w(u) = 4*u. Let l(r) = 3*b(r) - 4*w(r). Let g(s) = -3*l(s) + q(s). What is g(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 6*h + 2. Let t(o) = o**2 - 4*o + 302. Let w(y) = t(y) + u(y). Suppose 2*p = -p. What are the prime factors of w(p)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 7:16 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 133 - 7 = 0. Let y be (66\/c)\/((-4)\/28). Let i = 30 - -14. Calculate the highest common divisor of y and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b + 2*b**2 - 5*b)*(361*b - 740*b + 22 + 374*b).\nAnswer: -10*b**3 + 44*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188989?\nAnswer: 17, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 6 = 3*g + 5*p, 2*g - 2*p - 6 = 0. Let r = -43 + 46. Solve 15 = k - 4*t, g*k + r = -k - 5*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 30 and 2237826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 33\/44 + 274\/8. Suppose -i = 11*b - 4*b. Let w(q) = q**3 + 6*q**2 + 6*q + 7. Let j be w(b). Solve -p - j = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 2*r + 10. Let g(w) = -3*w - 10. Let u(i) = -4*g(i) - 5*x(i). Let h be u(7). Put -0.4, h, 2\/11 in increasing order.\nAnswer: -0.4, 2\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-18)\/(-4)*-1*128\/(-12). Let v = w - 45. Let t(u) = 2*u**3 - 4*u**2 - 2*u + 2. Determine t(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/80 of a milligram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-16)\/(560\/21)*(-5)\/3. Is s >= -3\/455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**2 + 11*z - 224. What are the prime factors of m(24)?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2c211c6 (base 13) in base 11?\nAnswer: 7aa8243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 5*u + 1. Give m(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange v + 114*v**3 + 86*v**3 - 5*v**2 - 183*v**3 to n*v**2 + b*v + w*v**3 + u and give w.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -27 + 55. Let o = -9 - -13. Suppose -2*w + 2*u + 0 = -g, 5*u = o*w - 58. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g + 14. Let f be a(-12). Solve b + 1 = -f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/3, -28, -0.3, -3 in ascending order.\nAnswer: -28, -3, -0.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 525*x**3\/2 + 378753*x**2\/2 + 164091*x\/2 - 214137\/2 = 0?\nAnswer: -721, -1, 99\/175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 + 0.8. Let h be ((-1)\/9)\/(37 + 3360\/(-90)). Which is the third smallest value?  (a) 6\/7  (b) f  (c) h  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32244 and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 146581, 586373, 1319365, 2345557, 3664949, 5277541, 7183333?\n\"Answer: 146600*i**2 - 8*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-61)\/549*(-16 - -1). Let h be -6*(2 + 852\/(-9)). Let k = h - 59490\/107. Which is the smallest value?  (a) k  (b) -2  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 - 6 = 2*g - i, 3*g + 2*i + 132 = 0. Let p = g + 137\/3. Let x = 0.1 + -0.4. Which is the closest to p?  (a) x  (b) 3  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 7:04 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(495)*-2 - sqrt(495))\/sqrt(9) + sqrt(55)))\/(sqrt(80)*4).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 5, 0.03, 10\/7, -0.128, -2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 = 2*g + 2*g + l, -3*g = 3*l - 39. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736999166.\nAnswer: 2, 23, 631, 25391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27 + 141. Find the third derivative of i*z**2 - 155*z**2 - 5*z**5 - z + 2*z**4 + z wrt z.\nAnswer: -300*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11528 is divided by 3430.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c - 4. Let q(b) = 3*b + 13. Determine 11*n(u) + 4*q(u).\nAnswer: u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 4*b - 2. Suppose -2*a - g = -5, -g = -a + 2*a - 3. Suppose 0*k = -a*k. Let i(s) = -1 + k*s + 6*s - 6*s + 3*s. Calculate 7*i(w) - 5*u(w).\nAnswer: w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -374275573*g*l - 74234130*l wrt g?\nAnswer: -374275573*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u - 28. Calculate c(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 62.85407 years?\nAnswer: 0.06285407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73228 is divided by 73223.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 71479 divided by -10?\nAnswer: -71479\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (-35 + 65 + -61)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6*(-6)\/((-36)\/7). Find the second derivative of 0 - 3 + 23*j**4 + q*j - j**5 - 2*j**5 - 22*j**4 wrt j.\nAnswer: -60*j**3 + 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 6:25 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/18582 and -31\/2445.\nAnswer: 92910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**3*h**3*k + 608*b**3*h**3 + b**3*h**2*k - 158*b**3*h**2 + 2*b**2*h + 12*b*k + h*k wrt h?\nAnswer: 18*b**3*k + 3648*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 3*g + 24. Give w(-14).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - -0.7. Let o = -0.196 - -14.496. Let t = -14 + o. What is the closest to l in t, 2, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 6826. Let c(d) = d**2 + 7*d. Calculate a(c(o)).\nAnswer: 2*o**2 + 14*o - 6826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 3*m - 2. Let r be (42 + -24)*(-2)\/(-4). Let s be q(r). Suppose 10*b = 15*b - s. Calculate the least common multiple of 1 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 332, 0.08, -5, -2, -2\/31 in decreasing order.\nAnswer: 332, 0.08, -2\/31, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 60 in 5, 1\/3, 2\/15, -0.5, 0.678?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((y**3 - 4*y**3 + y**3)*(-1 + 3 - 1) - 3*y**3 + 8*y**3 + 0*y**3)*(0 + 2 - 5).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*(3 - 1)\/(-2). Let s be (3\/6)\/(d\/120). What is the highest common divisor of s and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 162\/45 - 4\/(-10). Suppose -16 = 3*x - b, 5*x = o*b - 28 - 1. Sort x, -1, 0.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17 - (13 + 0 - 690\/(-115))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 408, 407, 406, 405, 404?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/280 and 59\/1092.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(3\/8)*x*x*x**12 assuming x is positive.\nAnswer: x**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 533438.3ug to milligrams.\nAnswer: 533.4383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 503340 and 6711200.\nAnswer: 20133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -5*f - 7. Let i(n) = 14*n + 20. Let g(h) = -3*i(h) - 8*k(h). Let y be g(-3). Suppose 2*b + 44 = 4*s, -b - 6 = y*b. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 14*n + 3. Let i be r(4). Let c = i + -53. Suppose -3*v - o + 12 = 0, -2*v + 5*o = -c*v + 5. Solve 9 + 11 = v*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -574*0.0608\nAnswer: -34.8992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -25*z - 36*z - 33 + 39*z - 79. Let l be s(-8). Put 5, l, -1\/11, -1 in decreasing order.\nAnswer: l, 5, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-126)\/(-8) - 16\/(-512)*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2237, -1\/11, 1\/4 in decreasing order.\nAnswer: 1\/4, -1\/11, -2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5801 = -323*y + 350 - 28652 + 5033 for y.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1461 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -117 - -167. Suppose 2*s + 0*f - 24 = 5*f, -3*s + 4*f = -c. Let g(m) = -2*m**3 + 14*m**2 - 10*m + 1. Calculate the remainder when s is divided by g(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -407, -438, -511, -644, -855?\n\"Answer: -3*v**3 - 3*v**2 - v - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 687, -2, -1.\nAnswer: -5, -2, -1, 5, 687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from cccccxcccccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 - 59. Which is the fourth biggest value?  (a) -7  (b) 0.5  (c) g  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 403557010?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-7 - (-7 - 1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + 6*v + 7. Let x be z(7). Calculate the lowest common multiple of 2 and -3 + -2 + 21 - x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 304 - 298. List the prime factors of 3 - (o - (-6 - -275)).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -z**5\/11 - 96*z**4\/11 + 2383*z**3\/11 + 308986*z**2\/11 + 908868*z\/11 + 54760 = 0.\nAnswer: -74, -2, -1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:01 AM and 7:00 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**2 - 4*h - 6. Let b = 7 + -3. Let x(p) be the third derivative of -p**5\/60 + 9*p**2. Let i(u) = b*x(u) + 2*y(u). Find c, given that i(c) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*d - 13 + 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of d**3\/6 + 3*d**2 + 4*d. Let l be s(-4). Let n = 3 + l. Solve 0 = -2*p - n + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 (base 15) to base 3\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 + 15*u**2 + 17*u + 19. Calculate b(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -16*h - 3 + 4 + 2 + 0. Is v(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*o + 1 = n, -1 = 3*n - 4*n - o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - 2*a + 1. Let b be i(-2). Suppose 0 = 5*o - 5, -4*o - 18 = -5*k - 2*o. Suppose -2*u - 12 = k. Put u, b, 0 in increasing order.\nAnswer: u, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m = -4*d + 22*m - 7 + 6 + 33 + 16, 2*d = -6*m - 66 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5242145609 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*m, 2*m - 112 = -n + 207. Which is smaller: n or 2246\/7?\nAnswer: 2246\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 1 = 3. Let p(g) = g**3 + 19*g**2 + 20*g + 30. Let h be p(-18). Let b be m\/h + 14\/6. Solve -b*r = r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 662 - 654. Calculate the smallest common multiple of -9 + 288\/r + -1 + 2 and 21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 divided by 12.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 67, -4, -21, -6942.\nAnswer: -6942, -21, -4, 0, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from ppdjpyxyyyryj?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - g = 0, -5*h + g + 0*g = 0. Let m be h + (-7)\/(-8) + -1. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 872 - 40. Suppose 0 = -l + 907 + o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 43144 (base 5) to base 3.\nAnswer: 11000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1553920510 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-4) - (-63)\/(-42) - -117. What is the greatest common factor of d and 1770?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 65 + -64 - -5 - (19 - 0) - 42\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1*4\/14*-5 and 250\/8*(-6)\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**2 - 11*c + 1. What is the remainder when i(-9) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*z - 50 = 11*z - 2*u, -47*u - 96 = 45 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1)*16 + 4. Let t = n + -20. What is m in 2*m + 0*m + t*m - 6*m**2 = 0?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 4*o - 2*o)*(-5*o + 3*o**3 + 5*o) + (o**2 + 3*o**2 - 3*o**2)*(o**2 - 3*o**2 + 3*o**2) + 9*o**4 - o**4 + o**4.\nAnswer: 13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1117235, 1117234, 1117241, 1117262, 1117303, 1117370?\n\"Answer: t**3 - 2*t**2 - 2*t + 1117238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -52 - -60. Suppose 0 = 2*d - b*d + 24. Let m(g) = g**3 - 2*g**2 - 8*g + 3. Let u be m(d). Sort -15, 1, u in decreasing order.\nAnswer: u, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 4810 = 4*v, 17*p + 4846 = 19*p - 5*v. Calculate the greatest common factor of 889 and p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**3 + z**2 - 2. Let g be a(2). Let i be (-50)\/(-18) + g\/(-27). List the prime factors of -2 + i - 3 - -33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l - 3*q + 4 - 3, 4*l + 2*q - 14 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -764784 by 6.\nAnswer: -127464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 0*i = 0. Suppose i = -9*v + 6*v + 12. Does 8 divide (-3)\/(3\/(-59)) + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*r**3 - 3*r**3 + 14*r**3 - 4*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (1 - -7) + 12 + -7 - -6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 911*q + 12*q**2 + 8*q**2 - 13*q**2 + 5 - 915*q to the form i*q**2 + z*q + o and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 98267 and 4303.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -29290, -29284, -29274, -29260, -29242, -29220, -29194?\n\"Answer: 2*v**2 - 29292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8992115 divided by 445.\nAnswer: 20207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3bb0 (base 16) to base 13.\nAnswer: 6c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2815 - 2821. Which is the third smallest value?  (a) f  (b) 286  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200000200111 (base 3) to base 4\nAnswer: -1112213221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 0 - (21 + (-29 - (-17 + -8)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes before 7:37 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 78 = b, -5*b + 4*b + 80 = 5*l. Suppose -5*k = -6*k + b. Does 19 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 6416368?\nAnswer: 19249104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -46 by 46.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -203292.311 to the nearest one thousand.\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + d - 14 = 0, -2*a = -7*a + 4*d - 23 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2986429509 - 8.\nAnswer: -2986429517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 15 - 3)*(0*d**2 + 3*d**2 - 4*d**2) + 6 + 5*d**2 - 2 - 5.\nAnswer: -5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 91734643 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18, -30, -84, -144, -210, -282?\nAnswer: -360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -n + 4*b + 9, n - 3 = 6*n - 4*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzzz when four letters picked without replacement from {f: 1, x: 6, z: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m - 7. Let o be z(-9). Suppose -3*y + o = -1. Let x = -17 + 25. What is the smallest common multiple of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from {l: 6, p: 4, n: 2, x: 1}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:31 PM and 4:42 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -0*r + 3*r. Let v(l) = l**2 + 26*l - 21. Let d be v(-7). Let i = r - d. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 4*b**2 + 29*b - 14. Let p be q(8). Which is smaller: 0.2 or p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of -41*w**2 + 0*w**3 - 1\/112*w**8 + 3\/40*w**6 + 0 + 1\/5*w**5 + 0*w - 1\/2*w**4 - 1\/35*w**7. Find g such that f(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 240.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*z = 49*z + 8. Solve 9*b = 7*b + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-120)*1300\/(-20)\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2*2*75*(-262)\/9825\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12091 + 12085. Let w(q) = 6*q - 11 - 8 - 20*q. Is w(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 0.0936.\nAnswer: -0.0468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -36.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1035 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 16 = 4*l + 2*v, -2*v = -4. Suppose 3*f = 3*h - 4*h - 8, -f - h - 4 = 0. Let y be f\/(-4 - -5) + l. Sort y, 0.4, -0.4.\nAnswer: -0.4, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 59*p - 122*p + 60*p - 7 - p**3 + 3*p**3 - 2*p**2. What is the tens digit of d(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2418*r + 14*r**2 + 0*r**3 + 4*r**3 - 2419*r - 1 to x*r + s*r**2 + h + v*r**3 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.062*283.\nAnswer: 17.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -57778 take away -265744?\nAnswer: 207966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 7*j - 2. Let r be z(-2). Let b = 10 + r. List the prime factors of (-40)\/(-4) + b\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express s**4 - 2 - 5*s - 3*s - 3*s**2 + 8*s in the form t*s**4 + l*s + n + z*s**2 + u*s**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 2\/(-17)) + 5907\/27387.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7783818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*b - b**3 + 12*b**2 - 4 + 7*b**2 - 24*b**2 = 0. What is b?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-10)\/(-4))\/(-5) - (-9)\/2. Suppose r*v = -5*v + 45. What is the smallest common multiple of (2 - (2 + 3)) + 1*v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/((-1)\/(-9)))\/(61 + 2142\/(-36))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45 + d**2 + 45)*(43*d + 50*d - 110*d)*(-4 + 6 - 1).\nAnswer: -17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in four fifteenths of a minute?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - (-7 - (-10 - -4 - 4))) + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v**3 - 2*v**2 + 3*v - 4. Suppose 0 = -9*y - 25 - 2. Suppose o - 272 = -3*o. Calculate the remainder when o is divided by s(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 + 11 + 8 + -40\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2. Let n be (-348)\/(-90) + 10\/75. Suppose 5*c - 49 = 61. Let y(z) = 6*z + c*z + n*z. Calculate d(y(h)).\nAnswer: 2048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -35 + 31. Let w be v + -4 + 5 + 3827\/(-15). Let b = -258 - w. What is the closest to -3 in 5, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/4 + (-2)\/(-8). Let h = 0.15 + -0.05. Which is the third smallest value?  (a) h  (b) z  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**5 + 8*n**4 - 20*n**3 - 56*n**2 - 30*n.\nAnswer: 2*n*(n - 3)*(n + 1)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 7  (b) 1\/7  (c) -1521  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 1 = -d, -6*d + 3*l - 15 = -9*d. Let q(j) = 352 + 5*j + j**d - 347 - 11*j. Determine q(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 7\/64, -4, 2, -3, 0.3, -2 in decreasing order.\nAnswer: 4, 2, 0.3, 7\/64, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2068 - -5?\nAnswer: -2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -8029*c**4\/24 - 11599*c**3\/6 + 3*c**2 - 4*c - 64. Find the first derivative of k(g) wrt g.\nAnswer: -8029","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 282143?\nAnswer: 282143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the first derivative of u**4\/3 + u**2 - 8. Let w(b) be the second derivative of t(b). Let j(k) = -2*k. Determine j(w(v)).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = -3*t + 36, -3*m = 5*t - 10 - 21 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s**2 - 2*s - 4. Determine b(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -267 >= -268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 1) + (-47 - -48)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 9:13 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 10:23 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2*c - s - 297, 0 = 5*s. Calculate the greatest common divisor of 33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4092)\/248*-8*7\/(-42).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-85)\/102)\/((48\/(-80))\/(504\/200))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1897 + 790 - 2585 + 384)*(b - 1 + 1 + 1 + b - 1 + (-5 + 4 + 3)*(4*b - 6*b + 3*b) - 4*b + 2*b + 3*b).\nAnswer: -16540*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2, -21, -1 in ascending order.\nAnswer: -21, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 AM and 7:07 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1620\/72*28\/35?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 13412596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(931) - (-1 + sqrt(931) + -1))**2 - (sqrt(931)*3*-1)**2) + -4.\nAnswer: -8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*b - 3*b - 5*b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/14 - (-93)\/21. Suppose -2*u = -5*p - 0 - 7, 4*p + t = u. Put p, 4, -5 in descending order.\nAnswer: 4, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9 - 2. Suppose -3*t + 8 = -b. Solve 0 = -w - 2*n + 7, 2*n = 3*n - t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(630)\/sqrt(160))**2 + (sqrt(189)\/(sqrt(27) - sqrt(3)))**2.\nAnswer: 315\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 26 = -86. Let v = 3 - -2. Solve 3*q + v*b = -n, 2*b - b = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of 4*p**2 - 1\/12*p**4 - 1\/30*p**5 + 71\/6*p**3 + 0*p + 0. List the prime factors of x(0).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -53*j - 1468*j**2 - 1466*j**2 + 2938*j**2 in the form n*j + a*j**2 + o and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q**0\/q*q)\/q*q*q*q))\/q)**23)**(14\/5)*(q*((q**(2\/9)*q)\/q)\/q)\/q**(1\/2)*(q**2\/q*q)\/(q\/(q**(-5\/6)\/q)) assuming q is positive.\nAnswer: q**(-5846\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 + 36*z - 6*z - 10*z - 8*z + 2*z - 17*z.\nAnswer: -3*z + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 6*s**2 - 6*s + 8. Let z be k(4). Suppose -5*n - 190 - z = 0. Let b be n\/(-15) + 3\/(-5). Put 25, -4, b in ascending order.\nAnswer: -4, b, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) 103  (b) 2\/29  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 - 9*n + 82 - 41)*(-2 + 1 + 3).\nAnswer: -18*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28604436*n**2 - 269534730*n wrt n.\nAnswer: 57208872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72542663.\nAnswer: 72542663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2932 + 189*x - 2932)*(5 + 6 - 6)*(-2 + 3 + 1).\nAnswer: 1890*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -3723838.74 + 1114\nAnswer: -3722724.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the first derivative of 2*z**2 + 1\/2*z**3 + 2 + 1\/4*z**4 + 0*z. Let h(c) be the second derivative of y(c). Find the first derivative of h(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3960?  (a) -0.3  (b) -14\/11  (c) -13  (d) -1\/6  (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -12353 (base 12) in base 8?\nAnswer: -60157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 - 24. Suppose 2*r + 3*a + 3 = 6, 4*a = 2*r - g. Let q = 7 - r. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {o: 7, q: 3, b: 3, k: 7}?\nAnswer: 49\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -4*l - 25, 8*l - 15 = 2*k + 13*l. Suppose -5*y + 5*r + 365 = -y, 452 = k*y - 2*r. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u**4 + 0*u**2 + 9 - u**2 - 4 to the form c*u**2 + z*u**4 + o*u + w + k*u**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -198 - -196. Suppose 0 = -4*o - 2*c + 20, -3*c = -c - 8. Suppose 5*f - 15 = o*l - 2*l, 2*l - 3*f + 2 = 0. Put l, 3, v in ascending order.\nAnswer: v, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.6 + 2.6. Let x = 2.5 - t. Let w = -0.01 + -0.09. Which is the closest to w?  (a) x  (b) -5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-4) - (-3 - (-2239)\/(-2)). List the prime factors of o\/3 + (-1)\/3.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 107 - (59 - (16 + 43 - 19))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 8*h + 2. Let m be 52\/12 + (-4)\/(-6). Let k(f) = -4*f - 1. Let c(g) = m*k(g) + 3*w(g). Suppose -3*i - x = 8, i - 2*x = -0*i + 2. What is c(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, -14, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16*-5*(15\/(-9))\/(675\/(-324)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.823 - -0.177. Suppose 0 = 3*i - 2 - 1. Which is the nearest to i?  (a) g  (b) -5\/2  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(4\/9)\/(q\/q**(-3)) assuming q is positive.\nAnswer: q**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 530 minutes before 8:03 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 705627?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/50*4851\/(-297). Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -44837 and 10.\nAnswer: -448370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1071 bigger than -1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12129496*t**5 + 52071669*t wrt t.\nAnswer: -242589920*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2\/7)\/(y\/y**0*y))**(4\/5)\/((y*y\/(y\/(y\/((y**(2\/13)*y)\/y))))**(2\/11))**(-1\/9) assuming y is positive.\nAnswer: y**(-26896\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 + 2*i**2 + 0*i**2 - i + i - 3*i**2 + (-4*i - 4*i + 6*i)*(11*i - 4*i - 3*i) - 5*i**2 + 2*i**2 + 4*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 2. Let l(o) = -15*o. Is l(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 41325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -3*q - 36 - 21, 3*m = 3*q + 69. Let x be ((-4)\/q)\/((-4)\/10). What is the third smallest value in 3, 0.2, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 13) + (3 - -6) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2695 + -2695.2. What is the nearest to o in -0.3, 5\/12, -4, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of t**3\/12 - t - 1. What is i in z(i) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 242 and 4384672.\nAnswer: 4384914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 1 + 12*z**2 - 2*z**2 + 3*z**2 + z. Let l = 54 - 17. What is the remainder when l is divided by w(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.08 - 0.02. Sort -0.02, d, 2\/7 in ascending order.\nAnswer: d, -0.02, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 625 = 2*u. Suppose -4*h + 3*m + 374 = -121, h - 2*m = u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 12853226, 12853221, 12853214, 12853205, 12853194, 12853181, 12853166?\n\"Answer: -t**2 - 2*t + 12853229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 400 (base 8) to base 4.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 + 21. Let d = -156 - -243. Let g = d + -85. Is s equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-155)\/(-2))\/(33\/(-44)*-38). Let v = h - 20\/19. Factor -v + 4\/3*m + 1\/3*m**2.\nAnswer: (m - 1)*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of -j**4\/24 - 4*j**3\/3 - j**2 - 52*j. Determine y(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-12)\/(21\/18*45\/(-70)) and 92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2469024 is divided by 2499?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -3*d + 23. Suppose 3*o - d*y = -0*o - 10, -4*y = 3*o - 8. Let w = -2 - -1. What is the nearest to o in 0.3, -2, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 - 4*z**2 + 7*z**2 - 3*z + z**2.\nAnswer: 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 223 + -47. Let o = 65 + -62. Let u be (-3)\/3*-18 - (5 - o). Calculate the highest common factor of c and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-1\/8))**(-2\/9))**(-45))**(-31) assuming c is positive.\nAnswer: c**(155\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 27*t - 21. Let j be (-17)\/3 + (-8)\/24. Let f be -5*39*j\/45. Let d be y(f). What is the highest common divisor of 40 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p. Let i(t) = 1630030*t**2. Determine i(o(y)).\nAnswer: 6520120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -45, -92, -143, -198?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 9:59 PM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2*(10\/4)\/(-31 + 26). Let u be p\/7 + ((-6564)\/(-84) - -2). Let f(m) = -3*m + 4. Let b be f(-4). What is the greatest common divisor of u and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - -11 - (3 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*y + 5*i, -2*y - 3*y - 3*i = -15. Let p be (y\/(-8))\/(1\/(-8)). What is the third derivative of c**2 + 4*c**6 + c**6 - c**p wrt c?\nAnswer: 480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 372662139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -62 + -1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 4*o = 52, -o = -0*o + 4. Suppose i = -4*k + 118. Solve 4*g + 3*j = k, 4*g = -0*g - j + 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 971*j**5 - j**4 - 26*j**3 + 1145227*j**2.\nAnswer: 58260*j**2 - 24*j - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + sqrt(300)*2).\nAnswer: 15 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oaan when four letters picked without replacement from {o: 1, f: 2, g: 1, v: 1, a: 2, n: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3*b. Let n(g) = 100 + 73*g - 70 - 30. What is n(a(t))?\nAnswer: -219*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2110410 and 10786540.\nAnswer: 97078860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3\/4 + 20703*h**2\/2 + 142871403*h\/4.\nAnswer: 3*h*(h + 6901)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.1  (b) 2  (c) 0  (d) 6  (e) -4  (f) 163\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1036823 to the power of 1\/2, to the nearest integer?\nAnswer: 1018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 9*o**2 - 2*o - 196. Let x(z) = -11*z**2 + 2*z + 193. Determine -7*v(u) - 6*x(u).\nAnswer: 3*u**2 + 2*u + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 618997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6439, 188\/5, 0.5?\nAnswer: 188\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 555232 to the power of 1\/2, to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 28 + 8 = 0. Suppose -9*w + 272 = 47. Suppose 26 = 5*o + 2*p, -p = 4*o + 2*p - w. Put o, 1, l in descending order.\nAnswer: o, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = -39*j + 47*j. Put j, 3, 5, -9 in descending order.\nAnswer: j, 5, 3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 2 - 0. Let b(l) = -l**2 - l + 2. Let u be b(a). Suppose u*n = n - 6. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 + 13. Let v = i - 6. Let q(w) = -w - 5 + 5. Give q(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -3*a**3 + a**2 - a - 4. Let g(o) = o - 7. Let k be g(5). Let f(m) = 10*m**3 - 2*m**2 + 2*m + 12. Let x(u) = k*f(u) - 7*i(u). Is x(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 19388*b + 930586. Calculate i(-48).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -957 - -965. Solve -i*k - 14 = 6*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of k**5\/20 + 5*k**4\/12 - k**3 - 3*k**2 - 5*k. What is the units digit of h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-72)\/(-20)*(-10)\/(-4). Suppose 6*p + 7674 = f*p. Let r = p - 11558. What is r rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-4\/5)*r**(-2\/19)*r*r*r*r\/r**(-4\/3)*r**(-1\/2)*r**7*r**(-1\/6)*r*r**(5\/2)*(r\/(r*r**(1\/2)))\/r assuming r is positive.\nAnswer: r**(3637\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 204 - 2*n - 50 + 7*n**2 + 3*n - n as v*n**2 + p + t*n and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 164 + -159 + (-12 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6266 - -0.0514. Which is the biggest value?  (a) -1  (b) -2\/15  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l**2 - 23*l. Let c(d) = -38*d**2 + 9*d. Let h(b) = -19*b**2 + 5*b. Let i(f) = -5*c(f) + 9*h(f). Calculate p(i(n)).\nAnswer: -1805*n**4 - 437*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/(-36) + (-50)\/18 + 3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w + 3*g + 2323 = 11*w, 3*g - 5776 = -5*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 + 180447*y**2 - 67801899*y + 6349286361.\nAnswer: 3*(y - 187)**2*(y + 60523)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (g**2 + 0*g + 0*g)*(-643 - 891 + 283)*(5 - 4 + 0) as f + u*g + q*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 218*a**2 - 668*a + 997. What is m(221)?\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 752408985095 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07804408 to 3 dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -2  (b) -0.1  (c) -551\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**2. Let b(s) = s**2 - 6*s - 93485. Determine b(k(z)).\nAnswer: z**4 - 6*z**2 - 93485","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 2*q + 8. Let u(y) = 2*y - 6. Let l be u(4). Let z(s) = -3*s**2 + 5 + s**3 + 0*s**2 - l*s**2 + 4*s. Give z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (160\/12)\/(32\/1536) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1)*a**(1\/13)*(a*a**(-1)\/a)**(2\/55))\/(((a\/(a*a**(-1)))\/a)**(-25)*a*(a\/((a*a*(a**(3\/2)*a)\/a*a)\/a))\/a*a*a*a**(-2\/3)) assuming a is positive.\nAnswer: a**(889\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(-7)*i*i\/(i*i*i**(2\/11)))**(-4\/33))**(-50))**(-1\/4) assuming i is positive.\nAnswer: i**(3400\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 PM and 10:18 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*w**5 - 7980*w**4 + 91794*w**3 + 468768*w**2 - 139461*w + 10092 = 0. What is w?\nAnswer: -4, 1\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 405 + 1?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 45, 3, -6 in descending order.\nAnswer: 45, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -1\/3  (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.01 - 4.01. Let m = -1 - -2. Which is the nearest to m?  (a) 1  (b) v  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1506 + 119183643\nAnswer: 119185149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnkukkfkwuouu. Give prob of sequence kwn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 18*i**2 - 537*i + 6. What is y(-34)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 1003040 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qpz when three letters picked without replacement from kokoookqookkzzokpkz?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 3057597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6116*z - 849*z - 586*z.\nAnswer: -7551*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 197914241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -9*o + 4. Let y be w(1). Let g be (-12)\/9*90\/y. Let l be 1\/2 - 12\/g. Let v(j) = -j**3 + j - 20. What is v(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 + 19*i - 107. Determine t(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + -6. Suppose -5*d + 1985 = 3*j, -5 - 20 = 5*d. Suppose 895 = 3*p - z*m, -4*p + 2*m + 1850 = j. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1514, 3026, 4538, 6050?\nAnswer: 7562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 420 divided by 6.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16\/3 + 6. Which is the second biggest value?  (a) -1  (b) u  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 4*o - 7. Let y be b(9). Suppose 0 = 6*l - y - 211. Let j = 39 - l. Which is smaller: 5\/11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86124990 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17611*l**2 + 0*l + 17610*l**2 + 0*l.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*q + 3*j, 3*q - q = -j + 8. Suppose 166 = q*y + 2*h, 3 = -4*h - 1. Is y a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 a, and 1 v when three letters picked without replacement from aavgj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/o**5)\/o*o)\/(o\/((o**3\/o*o)\/o))*o**(-3)*o*o**(2\/7))**36)**(-26) assuming o is positive.\nAnswer: o**(30888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 3298, 16576, 38706, 69688, 109522, 158208, 215746?\n\"Answer: 4426*g**2 - 1128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*i - 25. Let t be (-8)\/i*(-6)\/2. Suppose -t*f = 3*f - 25. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u**(2\/5)*u))**(-16)\/(u*u\/((u*(u\/(u**1*u))\/u)\/u)*(u**2*u)\/u))**29 assuming u is positive.\nAnswer: u**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3718 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 11:11 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 3. Suppose z*d - d = 10. Let p = 19 + -15. Solve w = -0*h + h - d, -4*h + w - p = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/19750 and 37\/136275.\nAnswer: 1362750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -10 - 14. Suppose -c = 2*i - 0*i. Let s(o) = 10*o**2 - o**3 + o + 2 + 0*o**2 - 16*o**2. Calculate s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -3*b + 3. Determine x(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 21\/4 of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s = -4*s - 32010. Let j be ((-5816)\/s)\/2 - 176\/88. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-23680\nAnswer: -23680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 1141 - 291. Suppose -2*n + p = 2*s, 97 = s - 7*n + 2*n. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of r**4\/24 + 8*r**3\/3 - 104*r**2 + 2*r. Let l(d) = 9*d. Let g(a) = 4*a. Let x(o) = -5*g(o) + 2*l(o). Give f(x(t)).\nAnswer: -2*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -z + z + 2*z**2 - 3*z**2 + 4*z**2 - 3*z**2 + (-z + 2*z + 0*z)*(-z + 3*z - z) - 14*z**2 - 62*z**2 - 1 + 21*z**2 to d + r*z**2 + g*z and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, -50, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away -12.55150040401?\nAnswer: 12.95150040401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from jpwlplllllwl?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -110*m - 113*m. Let b(r) be the first derivative of 0*r + 8\/3*r**3 + m*r**2 + 4. Let t(v) = -4*v**2. Calculate t(b(q)).\nAnswer: -256*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1629174 and 10.\nAnswer: 8145870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 3, -1, 4365, 0, -37 in ascending order.\nAnswer: -37, -1, 0, 1, 3, 4365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 29 + 46. Let y = -27 - -39. Suppose d - y = -d. What is the remainder when o is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u + 5. Let h be l(7). Let g = h + -6. What is the third derivative of b**2 - b**6 - 4*b**g + 2*b**6 wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 162433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 196 - 91 = 0. Let k = f - -43. Suppose k = q + 5. What is the highest common divisor of 21 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85*d - 78*d = -12376. Let m = d - -35261\/20. What is the common denominator of -55\/174 and m?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 + 7 = -5*q - 6*m - 5, 4*m = 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 516\/(-99)*6\/4. Suppose -5*k + 103 = 63. Let g = l + k. Which is the closest to -1\/4?  (a) -5  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*((-2)\/(-4))\/((-1)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 747478395 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -10, 3, -5, -45731, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k**3 - 6*k**2 - 2*k - 1. Let j be 92\/(-12) - 1\/3. Let w(h) = 3*h**3 - 18*h**2 - 5*h - 3. Let t(b) = j*o(b) + 3*w(b). List the prime factors of t(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 70*t**2 + 25*t - 25. Does 10 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3586886 + 35155069649\/9801. What is the common denominator of x and -43\/1782?\nAnswer: 19602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p = -2*p - 112. Let t = 3 - -7. What is the remainder when p is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -243*o**2 + 85 wrt o?\nAnswer: -486*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 283064759 a multiple of 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n - 1. Let b(k) = k - 2. Let c(q) = 2*b(q) - 3*p(q). Let f(t) = 3*t + 9. Give -5*c(j) - f(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 31*f**2 + 183*f - 20. Let d be z(-23). Factor 5\/3 - 1\/3*t**4 - 4\/3*t**2 - 2*t**d + 2*t.\nAnswer: -(t - 1)*(t + 1)**2*(t + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n - 5*n = -12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 154 = -2*c, -380 = 24*c - 29*c + 5*y. Calculate the highest common divisor of 30 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 6*t + 21 = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-4\/3)*n*n*n**2*n*(n\/(n*n**(-12)))\/(((n**4*n*n*n)\/n)\/n) assuming n is positive.\nAnswer: n**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 49*k + 162*k + 3418 - 253 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1998 + 2003. Suppose 0 = -3*b + 8*b + 5*u + j, -4*b + 3*u = -17. Factor -20*a - 17\/4*a**b - 1\/4*a**3 - 16.\nAnswer: -(a + 1)*(a + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 5776342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 79, 329, 743, 1321, 2063?\n\"Answer: 82*q**2 + 4*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2401*u**2\/4 + 122892*u - 6290064.\nAnswer: -(49*u - 5016)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kq when two letters picked without replacement from kqekkkkkeqqkkkeq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h + 63. Determine t(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (3510*l + 3 - 3 - 2448*l)*(-l + 0*l + 3*l) as b + i*l**2 + a*l and give i.\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 147 is divided by (11 + 4)\/1 + 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -48544, -48558, -48586, -48634, -48708?\nAnswer: -48814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (7 + 43)\/10 - (1 + -2 + 3). Let q = 48 + -47.99. Which is the smallest value?  (a) j  (b) -4  (c) q  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1940.62 and 8.\nAnswer: 15524.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {n: 5, m: 4, o: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 7:42 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1405384?\nAnswer: 2, 175673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 8*u + 11. Let o = -65 + 58. Let a be w(o). Suppose -f**4 - 82*f + 4*f**4 + 2*f**a + 65*f**2 - 30*f**3 + 22*f + 20 = 0. Calculate f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -360*n**4 - 72*n**6 - 577 + 155*n**6 - 81*n**6 + 11 - n**2 + 95 wrt n?\nAnswer: 240*n**3 - 8640*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 274 + 6. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 740 (base 8) to base 5\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(7)*-2 + 1)**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1950281?\nAnswer: 311, 6271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 21*q**2 + 2*q + 3. Let d = -42 - -30. Let z be ((-1)\/(-1) - (15 + d))\/2. Let s be u(z). What is the highest common factor of s and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from {b: 5, k: 3, c: 2, j: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 468\/(-858) - (-49551)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 1333010 (base 4) to base 13.\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 975528 a multiple of 797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/29, -2, 11\/129 in decreasing order.\nAnswer: 11\/129, -2\/29, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.5 + 0.3. Suppose 27*v - 21*v - 48 = 0. Let f be (-42)\/(-8) - 2\/v. Which is the nearest to 0?  (a) 0  (b) u  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*t**3 + 432 - 11*t**3 - 432.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1082 is divided by 195.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/((p*p*p**(2\/27))\/p))*(p\/(p**(-2\/5)*p))\/p)\/((p\/((p**7*p)\/p*p*p)*p)\/p**3) assuming p is positive.\nAnswer: p**(1414\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-247)\/741 - (-10)\/(-6). Let q = -2.1 + 2. Which is the closest to 2?  (a) s  (b) q  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 393319913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3081, -3112, -3175, -3282, -3445, -3676, -3987?\n\"Answer: -2*x**3 - 4*x**2 - 5*x - 3070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((0 - 1) + 139)*(-4)\/(-8). Suppose -11*p = 8 + c. Let f(j) = j + 4. Give f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u - 2*u + 2*u)*(-u - u - 3*u)*(40 - 40 + 20*u**3 + (u**2 + u**2 + 2*u**2)*(2*u + 1 - 1)).\nAnswer: 140*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 350, 698, 1042, 1382?\nAnswer: 1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from cac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 + 7*w**2 + 33*w - 21. Give y(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**28\/(h**(-3\/14)\/h*h))**(-2\/19))**(-1\/46) assuming h is positive.\nAnswer: h**(395\/6118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - q + 51 = 0, 7*l - 3*l = -3*q - 37. Let d be (-152)\/l + (-3)\/15. List the prime factors of d - -162 - 0\/2.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.7416 rounded to zero dps?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2204270665 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 174456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -7. Put -1, w, 3 in ascending order.\nAnswer: w, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3020875 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2*h**2 + 0)*(-2*h + 27*h + 6*h + (1 + 2 - 4)*(0*h - h - h))*(1 + 1 + 0) to f + m*h + o*h**3 + b*h**2 and give o.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 323 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 365*i - 31. Is h(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3497819 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/2*w + 1\/2*w**2 - 3 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3434 + 13766?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (403\/1209)\/(12*(-10)\/80).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30 and 39.\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 195800?\nAnswer: 2, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -286 + 283. Let r = 1 - 1. What is the closest to 0.1 in r, 3, m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssmm when four letters picked without replacement from moossmsooooo?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 493 - 353. Let n be (6\/28)\/(3\/(-1964)). Let s = r + n. What is the biggest value in 0, -5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y = 3*c - 108 + 143, 3*y + 45 = -3*c for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6287\/10 + 1307\/2. Is 24 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g + 2*m + 2, 0*g - 4*m + 31 = -3*g. Let i(k) = -k**2 - 5*k + 5. Let n be i(g). Solve -n*f + 5*s - 4*s + 2 = 0, s + 2 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c8a (base 13) to base 6\nAnswer: -13530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13832336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -27. Suppose 1354 = 2*o + 2*r + 1372, 4*r + 41 = -5*o. Put d, -3, o, 5 in descending order.\nAnswer: 5, -3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 + 11*j**2 + 8*j + 5. Calculate a(12).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19743980 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-168)\/(-9) + 10\/(-15). Suppose 14*f - b = 11*f. Solve 7 = 4*m - 2*m + 5*g, 2*g + f = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 319469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-40 + 16)\/(-6*(-3)\/1284). Let r = m + 3230. Calculate the remainder when r is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172841618 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60 - (9 + -5 + 31).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or 1759?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1311\/10 or 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.032885 and -2151.\nAnswer: 70.735635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2461832*w**2*y + w*y - 329*y wrt w.\nAnswer: -4923664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0  (b) 0.3  (c) -1  (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a**2*x**2 + a**2 + 5*a*x**2 - 16*x**2 - 9 wrt a.\nAnswer: 6*a*x**2 + 2*a + 5*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 13 and 1144?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -6*c + 5 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 527386241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d\/(d*d\/(d**(10\/7)*d)))\/d**(-10))**10*(d**(-4)*(d**(-3\/4)*d*d)\/d)\/((d*d\/(d**(-5)\/d)*d)\/((d\/d**1)\/d)) assuming d is positive.\nAnswer: d**(3095\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/((q**(-2\/5)\/q)\/q*q))**(-4\/9)*(q\/(q\/q**2*q))\/((q\/((q*q**(-6)\/q*q)\/q))\/q) assuming q is positive.\nAnswer: q**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 723*w**2 - 87*w - 168. What is the lowest common multiple of 1656 and i(-2)?\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48*h**3 - h**2 - h - h - 50*h**3 + h**4 to the form p*h**2 + j + y*h**4 + q*h**3 + x*h and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 31344301003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -152 + 156. Suppose 4*f = 5*l + 45, -f - 21 + 6 = d*l. Sort l, -3, 0 in decreasing order.\nAnswer: 0, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (364\/(-2))\/(1 - (-24)\/(-18)). Suppose -22*p = -8*p - g. Calculate the greatest common factor of 52 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -259*m**3 - m**2 - 138?\nAnswer: -1554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 30*j + 6. Let y be s(7). Suppose 0*k - 4*x = 4*k + 16, 0 = 2*x + 10. Let b be (3\/(-12) + 1)\/(k\/32). Calculate the highest common factor of b and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*s**2 - 2*s**3 + 22*s**4 + 35*s**5 - 33*s**5 + 37*s**2 - 48*s**3 = 0. What is s?\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o**2 - 10*o - 7. Let q be x(6). Solve q*m - 30 = -4*u, 5*u - 3*m + 7 - 26 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 3. Let m be (-79)\/c - 3\/12. Calculate the common denominator of (6\/m)\/((-12)\/(-94)) and 37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146264870?\nAnswer: 2, 5, 1777, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 28*q - 60. Let y = -12 + 26. What is the units digit of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.3  (b) 4  (c) -1\/4  (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22788 is divided by 530?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 653 and 6.\nAnswer: 3918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 4*q**2 - 5*q + 4. Let u be p(-5). Suppose -u*l + 0*v = -v + 8, 5*l = 2*v - 13. Suppose 3*t - 2*w - 13 = 0, 3*t + 2*t - 4*w - 25 = 0. Is t > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*f**5 - 12*f**3 + 527*f**2?\nAnswer: 360*f**2 - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-10))\/((-63)\/105)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 20 = y, 4 = -p + 3*y + 16. Let i(q) = -q**2 - 7*q - 7. Let n be i(-6). Put 0, p, n in decreasing order.\nAnswer: 0, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -7*a**3 + 2*a**2 + 182*a + 179. Determine o(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 151*f**2 + 176*f**5 + 248*f**5 + 250*f**2 - 73*f**5 wrt f?\nAnswer: 21060*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 181901567?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 732986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -100*j**4 + 0*j**2 + 7*j**2 - 6*j**2 - 77*j - 122*j**4 wrt j?\nAnswer: -5328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 31 and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 9:33 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5713272017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 30580645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -140 + 243. What are the prime factors of o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3\/2  (b) -18  (c) -1.4  (d) -0.2  (e) 5  (f) 28  (g) -12\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(3\/4)*s))**(-3\/23)*(s*s\/s**(2\/19)*s)\/(s*s*s**14*s*s*s) assuming s is positive.\nAnswer: s**(-27981\/1748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -105*c. Let j(t) be the third derivative of t**4\/24 + 12872*t**2. Calculate -28*j(p) - w(p).\nAnswer: 77*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 23 - 13. Suppose 0 = u*p + 7*p - 10*p. Factor -8\/5*z - 2\/5*z**3 + p + 8\/5*z**2.\nAnswer: -2*z*(z - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.02 - 0.02. Let g = -479 + 477. Sort g, 1, s in decreasing order.\nAnswer: s, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-14)\/(-21) - (-32)\/6. Let l(t) = 3*t. List the prime factors of l(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.3 + -0.7. Let p = -0.59 - -0.6. Let r = -0.21 + p. Which is the closest to r?  (a) t  (b) 1\/3  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(190) - sqrt(190)*-5*-4)\/sqrt(10))**2.\nAnswer: 38*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 63\/18*(-216)\/(-42). Solve 62*t = 71*t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3\/(-13))\/(130\/800 + (-1)\/5). Suppose -4\/13*j - i*j**3 - 32\/13*j**4 - 34\/13*j**2 + 0 = 0. What is j?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -133 - -334242?\nAnswer: 334104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:13 AM and 2:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -475*t + 483*t - 120. Solve t*p - 20 = 20*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 233 = 5*i - 3*f - 565, -3*i + 478 = -2*f. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 5. Let u be k(8). Let x be 2\/(-7) + 48\/21. Factor 4*z**4 + z**5 - 8*z - x*z**5 - z + 2*z**u - 12*z**2.\nAnswer: -z*(z - 3)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-1*4\/(-2)). Suppose -3*v - 2*b + 4 = 0, b = -j*b - 1. Suppose v*o - 4*o + 3*i = -56, -10 = 5*i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of 4*v**7\/105 + v**6\/20 - v**5\/30 + 18*v**2. What is f in l(f) = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**2\/3 - 7261230*q + 21783695\/3 = 0. What is q?\nAnswer: -4356739, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 460 divided by 275\nAnswer: 92\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**6*t*t)\/t**(19\/5)*(t**(-32)\/t)\/(t\/(t\/t**(-2\/9))) assuming t is positive.\nAnswer: t**(-1196\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 4\/3  (c) -2  (d) 3\/20  (e) 3  (f) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -5*n - 4*m, 494*n = 492*n + 2*m - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/9  (b) 55  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -577*n**5 + 102*n?\nAnswer: -11540*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwwr when four letters picked without replacement from {w: 1, r: 19}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 1. Let t(k) = 70*k - 2. Determine a(u) - t(u).\nAnswer: -71*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(3\/2)*c\/(c**3*c))**(1\/22) assuming c is positive.\nAnswer: c**(-1\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 4:42 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -779 + 795. Solve -4*n - 12 = 4*o, 4*n + g*o - 18*o = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-5)*(252\/16)\/3*(-12)\/(-14).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 30  (b) 2\/5  (c) 0.95  (d) 104  (e) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-4 + -3 + -1*sqrt(343))**2 + -2.\nAnswer: 98*sqrt(7) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2\/13 + 1853276*s - 5581276889786.\nAnswer: -2*(s - 6023147)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o - 2. Let s be v(-1). Let b = -1371 - -8201\/6. Let a = 239\/66 + b. What is the nearest to s in -3\/7, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -100*h + 101*h + 13 - 12 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide (54\/(-8))\/((-9)\/120)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**3 - 44*n**2 - 195*n - 5. What is j(-39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 116 + (-4 - 5) + (-41 - -33 - -9)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 9) + (113 - 27) + -43.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-249769.\nAnswer: -24976.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**4 + 28*p**3 + 24*p**2 - 128*p - 128 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3138569657 less than -17385?\nAnswer: -3138587042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 58959886*h**5 + 1380582*h**2 - 7.\nAnswer: 3537593160*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*x - 2*r, 21*x - r = 26*x - 3. Suppose x + 1\/6*c**2 - 1\/3*c = 0. Calculate c.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and 374023?\nAnswer: 3366207","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 200*v**5 + 7*v**2 + 7 wrt v?\nAnswer: 12000*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35303\/12 + 2942. Let w(r) be the first derivative of -1\/16*r**4 + 0*r + 1\/4*r**2 + y*r**3 + 13. Factor w(l).\nAnswer: -l*(l - 2)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 - 9*n - 6. Let s be v(-8). Does 20 divide (-34)\/(-17) + 236\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-3\/10)*d\/d**(2\/3)*d*d assuming d is positive.\nAnswer: d**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -267965 - -157965. What is r rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -1, -165, 6 in descending order.\nAnswer: 6, 3, -1, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - 3*t + 24. Suppose -p - h = 2*h - 65, t*h + 93 = p. Suppose -4*f - 5*a + 335 = f, -f + a + p = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 51 and 6958.\nAnswer: 7009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 932?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/23, -9, 1, -5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1018 - 1012. Solve -s + n = -3*n - 5, n + z = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19432.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/(-10140)*13*(-3)\/(-2)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b9d7 (base 16) in base 10?\nAnswer: 178647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 196370*o + 2552820. Calculate w(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 65*v - 69*v + 67 - 27, -30 = -n - 5*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1261, -1193, -1109, -1009, -893, -761?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -163 + 140 + -1 + 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of -w**4\/6 - 35*w**3\/6 + 2*w**2 + 84. What is m(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9.3550717 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 506*y - 310210. Give w(613).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**10\/37800 + o**9\/4725 - o**8\/2100 + 7*o**4\/12 + 24*o. Let m(q) be the third derivative of l(q). Factor m(f).\nAnswer: -4*f**3*(f - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -545*x**2 + 4*x - 6. Let y be v(2). What is the units digit of y*1*(-12)\/36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 57\/(-133) + (-1770)\/(-14). Let p = 184 - x. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 90255.\nAnswer: 3, 5, 11, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 8*g - 24. Calculate y(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12 in -1, 2, -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21094*t - 21094*t - 10*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -5)\/((-174)\/(-87))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 10:22 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2553, 10232, 23029, 40944, 63977, 92128?\nAnswer: 125397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12 in -1\/3, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 119593663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.6469 minus 1?\nAnswer: 25.6469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 b, and 1 s when four letters picked without replacement from {b: 4, q: 1, s: 8, m: 2}?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (32 + -2)\/(48\/64) and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1636 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1990 + 1990. Which is smaller: f or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(132)\/sqrt(6))\/sqrt(2) + (sqrt(11) - (sqrt(11)*-1 - sqrt(11))*6 - (sqrt(1100) + 2))**2.\nAnswer: -7*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4980 is divided by 52?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 41, 75, 133, 221, 345, 511, 725?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47779230?\nAnswer: 2, 3, 5, 73, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 27\/4 of a hour?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16422948 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -575, -1147, -1717, -2285?\n\"Answer: q**2 - 575*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.7 and 56.704.\nAnswer: -39.6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -18*r**3 + r**2 - 2*r. Calculate b(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 4*d - 0*d. Let x be (d\/3)\/(12\/54). Suppose x = 4*r - 3*o, -5*r - 5*o = -2*r - 9. Solve 4*t + r = 5*z, 4*z = 3*t - 2*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*u = -20, 20 = x - 7*u + 3*u. Suppose 2*i + 40*i - 60690 = x. What are the prime factors of i?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000235816 rounded to 6 decimal places?\nAnswer: -0.000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u + 5*u + u + 0 + 0 - 2*u + 0*u + 0*u + u + (-1 - 4 + 4)*(-4 + 4 - 2*u) - u + 2*u + 0*u)*(0 + 1 - 10)*(-2 - 1 + 5).\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6\/(-9) + ((-56)\/(-12) - 4). Suppose j*i + 24 = i. What is the least common multiple of 20 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -8*i**2 - 64*i + 1. Calculate the remainder when m(-12) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 4*q - 86. Let k be r(23). Find the first derivative of 6*a - 46 + 6 - k*a - 5*a wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (330\/12)\/11 - (-1)\/(-2). What is the second derivative of -4*v**2 - k*v**2 - 17*v - 10*v**2 - 3*v**2 wrt v?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -3*p - 6. Let b be o(-3). Suppose 496 = s + b*s. Suppose -s = -5*q + 121. What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 157161223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.407 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220*h**5 - 17972*h**4 - 218448*h wrt h.\nAnswer: -4400*h**3 - 215664*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1545776 (base 8) in base 11?\nAnswer: 284734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 3*c + 140, 3*z + 2*c + 0*c = -65. Let j = 25 + z. Sort -2\/15, j, -2.\nAnswer: -2, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41\/57 or 32311?\nAnswer: 41\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-164)\/(660\/(-297) + 140\/(-3150)*(1 - 6))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 149 - 136. Let r be 1\/(2*2\/28). Let i = -3 + r. What is the remainder when j is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.013094 nanograms to grams.\nAnswer: 0.000000005013094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 44479 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 53*b**2*t*v + 3*b**2*t - 2*b**2 + 2*b*t**2*v + 11*v with respect to t.\nAnswer: 53*b**2*v + 3*b**2 + 4*b*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(120))\/(-6*sqrt(10)*2) + -2.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4536 - -24145. List the prime factors of k.\nAnswer: 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 - 5 - (-10 - -26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u + 12. Let f be 4\/(1 + -1 - 6\/9). Does 6 divide r(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 793814491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 405.55944ns in hours?\nAnswer: 0.0000000001126554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.9 - 2.1. Let r = 4.5 - -1.5. Let i = r + -9. Which is the second smallest value?  (a) i  (b) 2\/21  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/21 + 1376\/(-336). Let d(h) = -253*h - 11. Let f(l) = 757*l + 37. Let q(j) = i*f(j) - 11*d(j). What is the derivative of q(v) wrt v?\nAnswer: -245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4030 is divided by 295?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-209)\/38*6*(-8)\/(-96)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by (-21)\/3*17\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 362819?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6963283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 25551635 by -4.\nAnswer: -25551635\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes after 7:41 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = u + s, 3*s + 0*s - 12 = 0. Suppose u*o + 0*o - 20 = 0. What is the remainder when 29 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3412 is divided by 343.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g - 8. Suppose -3*l + 12 = -3. Suppose -16 = -s - b, -l*b + 36 = 11. Let z be f(s). Is 4 greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7.11 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 + 6*l. Let a = 39 - 58. Let p be (-5)\/15 + a\/(-3). Let o(z) = z**3 + 5*z. Let u = 496 + -501. Calculate p*o(i) + u*j(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*d - 15, -4*d = 2*b + 6 - 0. Suppose 2*k + 4*f = -0*k + 14, 3*k + b*f = 15. Let u(t) = -2*t - 4*t + k*t + 2*t. Let w(s) = 3*s**2. Give w(u(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -19050357 divided by 5?\nAnswer: -19050357\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 3\/100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*y - 8*y + 48*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*c**2 + 10*c**3 + 5 - 11 - 3*c**2 + 7 in the form x*c**2 + h*c + q + m*c**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 - 11) + (-3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30023 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2651 - -2656. Let y(d) be the second derivative of 0*d**3 + 13*d + 5\/4*d**4 - 4\/5*d**x + 0*d**2 + 0. What is the third derivative of y(m) wrt m?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1159 + 1409185568.\nAnswer: 1409186727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (206*b + 104*b - 98*b + (-3*b + 7*b - 3*b)*(9 + 3 + 3))*(-b + 3*b - 3*b) in the form z*b**2 + l + s*b and give z.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 47753 (base 8) to base 2\nAnswer: 100111111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eqj when three letters picked without replacement from jqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110011111011010101110 (base 2) to base 5.\nAnswer: -413422200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-96)\/(-720) + (-47)\/240. Put -0.5, 5, k, 0.4 in increasing order.\nAnswer: -0.5, k, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 3:25 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(11))*-3 + 5.\nAnswer: -3*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7846, -7849, -7852?\n\"Answer: -3*n - 7843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 18309864029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g - 56*g**3 - 3*g**2 + 2 + 56*g**3 + 2*g**5)*(-3 + 1 + 19).\nAnswer: 34*g**5 - 51*g**2 + 51*g + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, o: 6, h: 4}. Give prob of picking 2 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c**2 - 4*c - 5. Let z be k(-4). Let n be -19 - (2\/(-6))\/(13\/117). Let m = n - z. Put -2, m, 1 in decreasing order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = p - 34. Let l(c) = 79*c + 3181. Calculate the remainder when l(-39) is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + -12. Let n be 6\/15 - 99\/g. Suppose 105 = 2*w + n. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -3*j**2 + 14*j + 14. Let y(l) = 8*l**2. Calculate q(y(g)).\nAnswer: -192*g**4 + 112*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 8 = -29. Let j = 17 - p. Let s = 6 - 4. Solve -3*x + x + j = -s*l, l = -4*x + 10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1993, 4019, 6045?\n\"Answer: 2026*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 198*c - 15. Let u(m) = -41*m + 3. Let w(l) = 6*o(l) + 29*u(l). What is w(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233 = 15*k + 23 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -375 + 499. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*l**4 + 87*l**3 + 837*l**2 + 1857*l + 1110 = 0. What is l?\nAnswer: -5, -2, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130311435 (base 6) to base 16.\nAnswer: -26d32f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 940 - 666. List the prime factors of o.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4 + 72*w**3 - 108864*w**2 + 11515392*w.\nAnswer: w*(w - 168)**2*(w + 408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-54)\/(-15))\/((-2)\/(-10)). Let a be (-4)\/x + (-97)\/9. Let g = -20 - -9. Is g bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0, -1\/5, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 234 + -232. Solve 4*l = 16, 3*l - f - 4 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17993379?\nAnswer: 3, 103, 58231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((4796\/1744)\/((-55)\/(-8)))\/((-2)\/((-30)\/(-33))).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14\/27 - 8\/27. Let o(n) = n - 5. Let j be o(-7). Let r be 3 - 4 - j\/10. Which is the third biggest value?  (a) t  (b) r  (c) 16  (d) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7041 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 2. Suppose -11 + 1 = 2*o - j, 5*o = -3*j - 3. Calculate the remainder when (-1 - 0 - o) + 18 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -1520914*j. Let y(a) = 5*a. Calculate y(k(p)).\nAnswer: -7604570*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16))\/(15\/30)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.705177 rounded to 2 dps?\nAnswer: -1.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 3*r + 2*r = 50, -d - 14 = -2*r. Let m = d + 5. Let i be m\/4 + 3\/12. What is the biggest value in 2\/9, i, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2 = -2*y, -12*y = -2*i + 112 - 142 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*j - 2*n - 2*n, n = 1. Calculate the remainder when 81 is divided by ((-9)\/(-27))\/(j\/(-42)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 8:03 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.5  (c) 17  (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + j - 3*v + 66, v + 3 = 0. What are the prime factors of ((-10)\/j)\/1*(-393)\/(-2)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {h: 2, q: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20 - 20 + 3*j**3 + j**4 + (3*j**4 + 4*j**2 - 4*j**2)*(3 - 2 + 1).\nAnswer: 7*j**4 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(-16) - ((-33)\/(-66) - 2)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -56344244 - 4?\nAnswer: -56344251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.7 - 4. Let q = 567\/976 - 24\/61. Let b = 13399 - 13399.5. What is the biggest value in b, q, 1\/8, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11*(-70)\/198*(-5895)\/(-9825)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*d + 5614 = 0, 4*q - 211*d - 22439 = -210*d. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4243*l - 1897 = -44327 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**2 + 1. Let q(p) = 5*p**2 - 2*p + 3. Let j(l) = -q(l) + 4*s(l). Let i = -4 + 4. Suppose -3 = -o - i*x - x, -o = 3*x - 1. Determine j(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 38*z - 315 - 5740 = 0. Calculate the greatest common factor of z and 8131.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-106)\/(-390))\/(20\/(-15)). Let g = k + -3\/65. What is the closest to -1 in g, -0.3, -0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -28646 - -200524\/7. Which is the closest to 1.8?  (a) g  (b) -2\/9  (c) 0.07  (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = o - 8, 0 = -45*o - 14*o + 63*o + 2*f - 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -2*x**3 + 15862*x**2 + 95234*x + 79370 = 0.\nAnswer: -5, -1, 7937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -90*y - 96*y - 82*y + 341*y + 291 - 68*y.\nAnswer: 5*y + 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4837*k**2 - 4 - 4922*k**2 + 9749*k**2 + 5.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1314, 1316, 1318?\n\"Answer: 2*m + 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1609241 divided by -2.\nAnswer: -1609241\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 - 18. Suppose c = 10*w - 8*w. Let v be w - 11\/10*2 - 2. What is the second smallest value in -2, v, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, d: 2, k: 2, m: 1, z: 1}. What is prob of picking 1 m and 2 d?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 l, and 1 w when three letters picked without replacement from {l: 10, g: 1, h: 3, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 29689331387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6516 + 4614 = 3*x + 179*h + 118*h + 729, x + 5*h - 177 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2816 and 2816.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*w**2 - 3*w**2 + 0*w**2)*(8*w**2 - 7*w**2 - 10*w**2) to n*w**2 + j + l*w**4 + i*w + v*w**3 and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -22605518 and -0.4.\nAnswer: 9042207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b - 1. Let i be t(-1). Let y = i + -4. Let m(o) = o + 1. Let x be m(y). Put -2, 1, x in increasing order.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/21 or -0.4387?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/(-8))\/(135\/(-10) + 1). What is the second smallest value in -2\/7, -3\/2, b?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 243\/4 - 61. What is the biggest value in b, -5, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 3282*x**2 - 3965*x**2 - 1475*x**2 + 1934*x**2.\nAnswer: -6788*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 181499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - -12. Let n(l) = 5*l - 2 + s - 7*l. Let o be n(11). What is the greatest common divisor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/589 and -45\/532?\nAnswer: 16492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1431 + 7935 = 1561*y. Determine k, given that 0 - y*k**2 - 2*k**3 + 0*k - 2\/3*k**5 + 10\/3*k**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -137.26 and 45.\nAnswer: -92.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/123  (b) 1\/35  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10396926 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 a, and 1 i when four letters picked without replacement from {c: 10, i: 4, a: 3, l: 3}?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**2 + 2088*z - 272484 = 0.\nAnswer: 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k - 12 - 2 = 0. Solve q + k = -0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.126154 to four decimal places.\nAnswer: 0.1262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 5*r + 4, 3*b + 2 = -2*r. What is the smallest value in -2\/13, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -203 + 110. Let l = x - -96.7. Let o = -3.7025 + l. Round o to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 14*i - 49*i + 33*i. Let c(q) be the third derivative of 0*q**3 + 0 - 9\/20*q**5 + 0*q**4 - 11*q**2 + 0*q. What is c(x(a))?\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 48 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 7  (b) 0.6  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:03 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-14))\/(1\/(-7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 558434513 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*2\/28)\/((-5)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 15356179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1693440 and 5145?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 119*z**2 + 20*z + 17149. What is m(-120)?\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 201*q**2 - 1471*q wrt q.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 8*c**2 - 4. Let f(i) = -2*i + 17. What is u(f(v))?\nAnswer: 32*v**2 - 544*v + 2308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -20, -44, -1\/35, 35, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -292 + 108 = 3*b - 5*p, -2*p = b + 43. Let n be (-1)\/((-1)\/b)*1. Let c = 165 + n. Calculate the greatest common divisor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -66 + 99. Suppose -360 = -2*i - 5*b + 249, 3*i = -2*b + 930. Suppose 4*k - 340 = i. What is the remainder when k is divided by f?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 405*g**2 - g + 45. Is b(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 5*f**2 - 3*f - 16. Let q be g(6). Let h(o) be the second derivative of 1\/6*o**3 + q*o + 0 + 3\/2*o**2. What is the derivative of h(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42061529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:11 PM and 2:08 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -296 - -368. Let p = i + -68. Solve p*f - 12 = 0, -6 = -2*a - 3*f + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = 4*p - 1408, 4*u = 3*p + 772 + 643. Suppose -350*d - 54273 = -u*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16020?  (a) -8\/3  (b) 27  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*d - 1400 - 653, -2*d - o + 823 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from muy. Give prob of sequence um.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 17134\/13860 - 6\/(-27). Let x = z + -24\/35. Find the common denominator of x and (0 - 89\/(-32))*-2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1720.6388 - 1720.5. Which is the biggest value?  (a) l  (b) -0.4  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.17434979 rounded to three dps?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105918*x - 105918*x + 32*x**3.\nAnswer: 32*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1180 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((45 - 50) + -1 + -1 - 1) + 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 10:59 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 655*l**2 - l + 8 wrt l.\nAnswer: 1310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aarraar. What is prob of picking 2 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 2 = -2*o, o - 4*w = -0*o - 11. Let s = 7 - o. What is the smallest common multiple of s and 2\/(-4) - 10\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 64999988 = 4*x, -4*m = -5*x + 61194978 + 20055038. Suppose l - 11*l = -x. What is l rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 822, 857, 894, 933?\n\"Answer: d**2 + 32*d + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.4 - -6328.002607\nAnswer: 6329.402607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 138 + -78. What is the highest common factor of y and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11 - 16. Let l = -2 - s. Let i = l + -5. Which is the biggest value?  (a) i  (b) -0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/49 - (0 + (-9810)\/14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11790.32 rounded to the nearest 10?\nAnswer: 11790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**3 - 31576*o**2 + 124630472*o = 0. What is o?\nAnswer: 0, 7894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -14. Suppose 0 = 5*q + 4*l - 789, 5*q - 49 - 744 = -x*l. Suppose -4*t + q - 5 = 0. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the first derivative of -k**3 - 402*k**2 - 53868*k - 3612. Suppose y(t) = 0. Calculate t.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9307420?\nAnswer: 2, 5, 241, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 62 + -29 + (-11 - -2).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2359395*d**3*m*v + 13328*d**3 + 99*m wrt v.\nAnswer: 2359395*d**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5114451973 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -21\/4 + 155\/28. Sort v, -0.03, -2\/5.\nAnswer: -2\/5, -0.03, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 6, 3, 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 239955 and 2686?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1424 (base 7) to base 9\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.986 - 0.94. Let k = w - 3.046. Let d = 0.14 + -0.04. Which is the third biggest value?  (a) -3\/2  (b) d  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/285)\/((-5)\/25)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 73*l**2*x**3 + 2*l*x**3 + 230*x**3 wrt l?\nAnswer: 146*l*x**3 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 54*y**3 + 4*y**2 - y - 5. Let j(t) = -t**3 - t**2 + 1. Determine 5*j(f) + r(f).\nAnswer: 49*f**3 - f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -16.5, -0.3, 0, -3\/2 in descending order.\nAnswer: 2\/11, 0, -0.3, -3\/2, -16.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of f**5\/30 - 2*f**3 + 15*f**2. What is the derivative of c(x) wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -408 + -365467?\nAnswer: -365875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80 and 115448176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 327 minutes after 11:22 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18.2 - -6.3. Let d = m + -25. What is the biggest value in -5, 0.5, d?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -105*d**3 - 3*d**2 - 11*d - 10. Calculate r(-1).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1256, -2511, -3766, -5021, -6276, -7531?\nAnswer: -8786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 36444, 36433, 36420, 36405, 36388, 36369?\n\"Answer: -f**2 - 8*f + 36453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 66683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 181203 and 7638.\nAnswer: 24281202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 276480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 3. Let n = -69 - -68. Suppose 3*v - 2*k + 19 = -k, -4*v - k = 16. What is the nearest to o in 2\/7, n, v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-96)\/14)\/6)\/(1\/21)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + g = -15. Let f(j) = 32*j + 11. Let a be f(g). Let t = a + -105. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4508975 and 11925.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10168 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t. Let c(j) = 7*j - 7. Let s(f) = 843*f - 8 - 420*f - 412*f. Let a(d) = 3*c(d) - 2*s(d). Determine g(a(b)).\nAnswer: -2*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*r - 803 + 236. Differentiate -163*g + 61*g - 90*g - r + 234 + 106 with respect to g.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1366*i + 4*i**2 - 1357*i - 325 + 2723*i)*(-i**2 - 2*i**2 + i**2).\nAnswer: -8*i**4 + 650*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -64*f**2 - 45*f**2 + 99*f**2 - 84 + 0*f + 0*f to the form d*f + z + r*f**2 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 13*t + 226. Let r be y(-16). Put -1, 1, r in increasing order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-12)\/(-36) - (-22)\/6. Suppose l*o + 14 = -2*r, 2*o = -r - 2*o - 9. Let t be ((-2)\/3)\/(r*4\/180). Solve t*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(56\/8)\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 382 - 313. Suppose 0 = -r*y + 9*y + 240. Solve 0*m + y = -4*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jvp when three letters picked without replacement from vvvjppvvp?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + ((-14 - (-2 - 9)) + 10 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*j - 58*j = 5*j - 157*j + 1260 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 2\/3*h**3 - 3\/2*h**2 + 7 - h. Determine l(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = j + q, q = j - 3*q + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/168822 and -103\/2562.\nAnswer: 72086994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -336960000 to the nearest one million.\nAnswer: -337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) 3\/7  (c) 0.3  (d) -566312\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from gnntnzg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 14107, 13647, 13187, 12727, 12267, 11807?\n\"Answer: -460*l + 14567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 - 21*v**2 + 2 + 22*v**2 + 25*v)*(-6*v + v + 2*v).\nAnswer: 6*v**3 - 75*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**3 + 26*u**2 + 2*u. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10543 + 10543. Let r = -4 + -1. Which is the biggest value?  (a) r  (b) -2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 12 + 11 - 4*q**2 + 5*q**3 to o*q**2 + g*q**3 + n + d*q and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eqihz. What is prob of sequence hiq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -17*f**3 - 92*f**2 - 17*f + 71. Let z(r) = 3*r**3 + 16*r**2 + 3*r - 12. Let m(s) = -4*a(s) - 23*z(s). Let n = 31 + -31. What is m(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 1. Let q be ((-2)\/6)\/(j\/6). Solve 6 = k - q*s - 2*s, 16 = -4*k - 4*s for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 1:47 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -12186  (b) 0.46  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + sqrt(19) + -1)*6*-4*-6.\nAnswer: -144 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-5)*(-3)\/(-2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-3\/8))**(-14)\/(w*w\/(w\/w**9*w)*w*w**(23\/3)) assuming w is positive.\nAnswer: w**(-317\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*a + 7*a**2 + 1181 - 1209 - 39*a - 3*a**3 to w*a**2 + j*a + k*a**3 + i and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 30967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -4*n + 8. Let w be v(-2). Calculate the greatest common factor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.5 + -4.5. Is u less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25, -42, -59, -76, -93, -110?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -47*x**2 - 91*x**2 + 190*x**2 + 5*x. Let b(v) = 2263*v**2 + 217*v. Let r(u) = -5*b(u) + 217*w(u). Let c(q) = 6*q. Determine r(c(i)).\nAnswer: -1116*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -897 + 1305. Sort v, 1, 5 in decreasing order.\nAnswer: v, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand c - 2*c + 3*c + 7100*c + 7098*c + 890 - 14199*c + (-5*c - 3*c - 3*c)*(-6 + 2 + 2).\nAnswer: 23*c + 890","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/54)\/((-11)\/((-297)\/(-6)))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (45\/360)\/(((-68)\/(-8))\/17). Let h = 78\/7 + -773\/70. Sort h, -3, s, -2\/3 in descending order.\nAnswer: s, h, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**2\/6 - c\/3.\nAnswer: -c*(5*c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -14 - 2*g + 2*g - g + 4. Let y be z(-7). Let n(b) = 866667*b**2 + 2*b + 3. Let u be n(y). Round u to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -84 + 150. What is the highest common divisor of 165 and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*b + 2 = 0, c - 4 = -c - b. Let x(i) = 12*i**2 + i - 3*i**c + 4 - 3. Let u be x(-1). Calculate the highest common factor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and -1632028062.\nAnswer: -1632028062.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*d + 136*d + 696 - 68*d - 6*d**3.\nAnswer: -6*d**3 + 696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {p: 3, s: 5, r: 1, a: 7}.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 8. Suppose -11 = -u*j + 9. Suppose 5*d + 4*y = 13 + 53, -j*d + 52 = 4*y. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1037 and 112179.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5726\/(-4)*(3 + -5 - 0). Suppose -u + 4*q - 2*q + 951 = 0, -3*u - 4*q = -t. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -93*i**2. Let o(x) = -3*x**2 + x - 103. What is o(r(u))?\nAnswer: -25947*u**4 - 93*u**2 - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:30 PM and 9:10 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (561\/(-55))\/(1\/(-5)). What is the greatest common factor of q and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 + 110*p**2 - 1447*p - 48. Give n(30).\nAnswer: 1542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 377057 and 2321.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 greater than or equal to 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-99)\/(-55))\/3*(-220)\/792?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*k**3 - 750 + 750.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 4*p - 8. What is x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 345 - 2419\/7. Which is the nearest to -0.1?  (a) -3  (b) -6\/17  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2352)*-1 + -2 - 5*-2*sqrt(2352))*4)**2.\nAnswer: -16128*sqrt(3) + 3048256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11 and 45510366?\nAnswer: 45510366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 12:25 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**3\/3 + 116*w**2 - 6728*w + 390224\/3.\nAnswer: -2*(w - 58)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 448646057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 4*q + 2. Let x be f(0). Suppose x*z + 37 = 2*l - 7*l, -2*l = -3*z - 8. Let h(t) = -3*t + 8 - 19*t**2 + 6*t**2 + 12*t**2. Determine h(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5)\/a)**(-26\/5)\/(a*a**(-10\/9)*a**(3\/2)) assuming a is positive.\nAnswer: a**(2651\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 862512702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-8))\/(1\/36). Let z be (2 - -3)*-1*1. Let j = z - t. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x + 121. Let c(m) = -m + 27722. Calculate d(c(j)).\nAnswer: 3*j - 83045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 5565.\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 150500 and 53200?\nAnswer: 11438000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {r: 6, c: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 5*f + 235, 5*v = f + 335 + 10. What is the highest common factor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 40\/(-630) - 2\/9 and 25\/836.\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*k**6*s**2 + 24473*k**5 - 10*k**2*s**2 + 282*s**2 + 14 wrt k.\nAnswer: -360*k**3*s**2 + 1468380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + y - 2. What is v(2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -96.3 + 105. Let k = 8.4 - n. Which is the third smallest value?  (a) k  (b) 1  (c) -5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 3\/4, -50, 1\/3, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.691052 tonnes?\nAnswer: 691052000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3631614 divided by -6.\nAnswer: 605269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9689*a - 9684*a = -2*k + 4, -a - 2*k = -12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -200 + 195. Let z be (-2)\/(-16)*(16 - 8) - l. Solve -2*w + 4 + z = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4372 + 4375. What is the nearest to -4 in s, 2, -0.5, -14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -53*i**5 + 2*i**4 - 18*i**3 - 2*i**2 - 720*i + 3.\nAnswer: -3180*i**2 + 48*i - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5790 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4\/7, 1\/8, 0.3, 1507, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.4 - -4. Let b = s - 0.1. Let g = -2 - b. What is the third biggest value in 3, -1\/7, g?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 2*k + 4*t - 82, -2*k + 52 = -4*t. Let u be (28\/(-21))\/(-4) + 7\/((-63)\/(-78)). What is the greatest common factor of k and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 3. Suppose v*d - 3 = 17. Let i(g) = -2*g - 3*g**2 - d*g + g**3 + 6*g**2 - g. What is i(-5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/2 - (-138)\/4. Suppose p - 4*p - 12 = 0. Let f = 1 - p. What is the highest common divisor of x and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90.3 rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -41.61 - -41. Let k = 0.11 + l. Put -0.1, -0.2, k in increasing order.\nAnswer: k, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -1.4  (b) 3728\/7  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 548773849?\nAnswer: 13, 42213373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 + x + 14. Let b(k) = k**3 - 10*k**2 - 12*k + 11. Let d be b(11). Is u(d) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -3*f**5\/20 + f**2. Let m(t) = 2*t. What is m(c(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2114 + 3 + -1 + -2. Suppose -v - 1473 = -d - 5*g, -5*d + 2*g + 17854 = 0. Let r = -57091\/16 + d. What is the common denominator of 1\/10 and r?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*f**2 + 2*f**2 - 13*f + f**2 + 4*f**2.\nAnswer: -2*f**2 - 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, -3, 111, -84, 5 in descending order.\nAnswer: 111, 11, 5, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*r + 2229 - 2845 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i = -3*r + 11, 2*r + 72*i - 20 = 67*i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -0.1451, -1\/6?\nAnswer: -0.1451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**2)**(-1\/6)*(((x*x**(-4))\/x)\/x)\/(((x\/(x*(x\/(x\/(x**(1\/2)*x)))\/x)*x)\/x)\/x) assuming x is positive.\nAnswer: x**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.5469 + -0.4531. Put 4, -1\/5, 13.2, g in descending order.\nAnswer: 13.2, 4, -1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 712315 is divided by 9895?\nAnswer: 9770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 39764?  (a) -5\/43  (b) 5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1\/(-2))\/(4\/(-8) + 1). Which is the closest to j?  (a) 0.3  (b) -2\/13  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.27, 1.2, -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -i + 20, 5*i - 3*j + j - 32 = 0. Let f = 1 + -2. Let d = f + i. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 + -1 + 72490\/16. Let r = 4524 - b. Find the common denominator of 4 + -2 - (-83)\/(-4) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 3*d**2 - d + 2. What is y(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54878?\nAnswer: 2, 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-six fifths of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + -5)*-6 + -3 + 0 + sqrt(32).\nAnswer: -2*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 12, -18*z + 538 = n - 20*z. Suppose 0 = 64*w - 70*w + n. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1267026 (base 9) in base 3?\nAnswer: -1022021000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 1:56 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 21250651 and 824?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.2, 0.3, -2450 in decreasing order.\nAnswer: 0.3, -1.2, -2450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, g: 1, k: 1, j: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -37 + 221\/6. Let k = 122.2 - 0.2. Let c = -121.5 + k. Put i, 5, -47, c in increasing order.\nAnswer: -47, i, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 594178 a multiple of 1459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -5*x + 36. List the prime factors of 64 + 0 + x\/(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -139 + 139. Suppose m - 4 = 2*m, -2*s + 20 = -m. Suppose 5760000 = -s*x - v*x. Round x to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 44 - (-2)\/4*4. Let w = -5 + b. Let h = 2 + w. What is the remainder when h is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**5 - 5*r**5 + r**5 + 4*r**2 - 2*r**5 - 4*r**2 + (-1 + 1 - 2*r)*(0*r**4 + 2*r**4 + r**4).\nAnswer: -9*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 17*t**2 - 148*t + 1579. Give f(28).\nAnswer: 6059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20288 is divided by 257?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -973*s + 90895. What is l(93)?\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/11, 0, -24 in decreasing order.\nAnswer: 4\/11, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 y when four letters picked without replacement from ybbyxyxx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u = -d + 3, -4*d - 3*u + 4*u = -12. Suppose 5*a = -2*h + 19, 5*a = d*a + 4*h + 22. What is the remainder when 8 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, b: 3, l: 5, v: 1, e: 1, z: 1}. Give prob of sequence bb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 78 - 80. Let m(b) = -b + 9. Let f(t) = 4*t - 28. Let v(y) = p*f(y) - 7*m(y). Let l(j) = j**2. Calculate l(v(g)).\nAnswer: g**2 + 14*g + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and -4130.7.\nAnswer: -28914.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 25 + (-64 - -11) + 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 13*v**2 + 5 in the form y*v**2 + h + t*v and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(468) + -4 + 1.\nAnswer: -12*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 768, 1817, 3204, 4953, 7088, 9633, 12612?\n\"Answer: 4*i**3 + 145*i**2 + 586*i + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.18 - 2.454. Let q = -2.274 - l. Sort 1.4, q, 4.\nAnswer: q, 1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/13  (b) 10  (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -1393877*j**2 + 31*j - 542. Let k be a(14). What is k rounded to the nearest 1000000?\nAnswer: -273000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 696107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3068979688870.5 and 0.11.\nAnswer: -3068979688870.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3\/11, 0.1, -192, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 499*w + 3689. Let p be t(-6). Solve 8*z = -p + 655 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*w - 14*w - 13*w - 9*w - 4*w - 21*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-4 - (-9 + -4 + (3 - -8)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-84)\/(-126) - (87\/9 - 3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -135010310 - 2?\nAnswer: -135010312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -27 - 20. Let x = 50 + k. What is the third derivative of -10*g**3 - 7*g**2 + 0*g**3 + 15*g**x + 0*g**2 wrt g?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + 0*q + 6*q - 2*q + 0*q + q + (-1 - 1 + 1)*(2*q + q - 5*q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6 - (-1 + -5))\/1 - (-394954)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1350)\/(-20))\/((-6)\/(-8)). What is the least common multiple of 1*(n\/(-3))\/(-3) and ((-18)\/7)\/((-1)\/7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/9, 1\/119, -1\/2?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 57 = -2*c, 5*c = g + 42 + 68. Let k = 34 + -48. Let h be (-6)\/k - (-12)\/c. Solve -h = -b - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/651758 and 57\/536504?\nAnswer: 518799368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 157424.19 nanoseconds to minutes.\nAnswer: 0.0000026237365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*m + 4. What are the prime factors of 1\/m + (-747)\/(-18)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*a + 2*a + 0 - 2)*(-1224*a**2 + 576651 - 576651)*(-3 + a + 3).\nAnswer: 3672*a**4 + 2448*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of i**4\/6 - i**3\/3 + 3*i. Factor k(t).\nAnswer: 2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1182 + 293*p**2 - 1182 - 321*p**2.\nAnswer: -28*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4794.\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*v + 49*v + 222 = 0. Solve 27 = -v*x + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {w: 9, i: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.15, 0.1, -0.09, 3.\nAnswer: -3, -0.09, 0.1, 0.15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence srs when three letters picked without replacement from {s: 9, q: 2, r: 6}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 715 = 3579. List the prime factors of n.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 85.176 to zero dps.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.9?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 3103 - 2887. Suppose -2*t = t - 18. Suppose -3*s - u = -t*s. Calculate the remainder when s is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 248855 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -146049706593 and -0.07.\nAnswer: -146049706593.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 p when three letters picked without replacement from lphlspsj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 55 + -282\/5. Let v = 17 - 16.8. Which is the smallest value?  (a) v  (b) l  (c) -4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1106700, 2213401, 3320102, 4426803, 5533504, 6640205?\n\"Answer: 1106701*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 1277?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1778*z + 898*z + 884*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(-390)*14)\/((22610\/114)\/(-85)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60 = -3*j + g + 83, 39 = 5*j - 2*g for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 - 10*f + 9. Let n be q(9). Solve n = -u + 3*h - 4*h - 6, 0 = 5*u - 4*h - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1335 and 64347.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59845 + 62323 = -59*v for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*7\/6 - 5*-2. Let r(u) be the second derivative of 8*u**2 + 11*u - 1\/6*u**t + 0. Differentiate r(p) with respect to p.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - -15. Suppose 2*q + y = 5*s - 3, -3*q = 5*s - 34. Solve -n - g = -3*n - 3, q*n - 18 = -3*g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 515600 and 1175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 106793 take away 4?\nAnswer: 106789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(3*(sqrt(2) + sqrt(10)\/(sqrt(20)\/sqrt(4))) + (1 + sqrt(2))*-3*3)**2.\nAnswer: 108*sqrt(2) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -16. Let m = f - -4. Let u = -15.09 - -15.09. Which is the smallest value?  (a) m  (b) u  (c) -2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/909?\nAnswer: 2\/909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -d**3*l*m + 212*d**3*m - d**2*l*m - 233*l*m wrt d.\nAnswer: -6*l*m + 1272*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 AM and 4:48 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/(-25) - (-1496)\/20.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-52*y - 46 + 46)*(4 - 3 - 3)*(-5 + 2 + 2)*(2*y - 3*y + 2*y) in the form g + c*y + h*y**2 and give h.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6\/22 + (-308384)\/(-44)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -429177\/395 - -5433\/5. Let s = 35 + -36. Is w at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 6*y**2 + 4*y - 2. What is the least common multiple of j(-5) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*p + 29*p = 2*w, -40 = -5*p - 2*w for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 223*o*v*w + 2*o - 3*v**3*w - 189*w wrt v?\nAnswer: 223*o*w - 9*v**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14591 + 14593. Solve 0 = -q*c + 40*f - 38*f + 2, -12 = -3*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1058164*f**4 - 5628*f**2 + 26*f + 2 wrt f?\nAnswer: -25395936*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 2:39 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -13056, -12386, -10564, -7014, -1160?\n\"Answer: 96*s**3 - 2*s - 13150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rqq when three letters picked without replacement from rrrrrrrrrrqqrrrrrrr?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of o**3\/9 - o**2\/2 + 2*o\/3 - 11. Factor z(w).\nAnswer: (w - 2)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 889685047 from -1483.3.\nAnswer: -889686530.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 10*n - 14. Let q = -4 - 4. Let t be p(q). Suppose j - t*j = -4. What is the second smallest value in 1\/7, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 172 - 108. Let g be ((-154)\/4)\/((-16)\/a). Let b(i) = 2*i**2 + 7*i - 1. Let z be b(-5). Calculate the highest common divisor of g and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 8 - 7. Suppose 0 = 2*m + 4*h, -4*m - 2*h - h = -20. Let p = -6 + m. Calculate the remainder when c is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 427, -190, -1221, -2666, -4525, -6798?\n\"Answer: -207*s**2 + 4*s + 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 10\/(-20)*22 + 9. Sort 161, h, 3, 4 in decreasing order.\nAnswer: 161, 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssysnyyn. Give prob of picking 1 s and 2 n.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -404.8 rounded to the nearest ten?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2818)\/(-5) - (-39)\/(-65). Let g = i - -232. List the prime factors of g.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -9*q**2 - 7*q - 13. Let p = -4 + 12. Let x(n) = -10 + 143*n**2 - 157*n**2 - 10 - 10*n. Let l(a) = p*z(a) - 5*x(a). Determine i so that l(i) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*g**3 + 15*g**3 - 12*g**3 - 7*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 2, p: 4, s: 3, h: 3, t: 4, k: 1}. Give prob of sequence spsk.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, b: 3, q: 2, u: 9, x: 3}. Give prob of picking 1 q, 1 b, and 1 u.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3*2021\nAnswer: -6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 b when two letters picked without replacement from {x: 9, r: 3, e: 1, b: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/4)*(w\/(w**(-1)\/w))\/w)\/(w**0)**(-29) assuming w is positive.\nAnswer: w**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/((-28)\/24)*1\/(-4)*10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d - 27. Let v be j(12). What are the prime factors of (1 + v\/(-15))\/(14\/1435)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -7, 54\/2255, 934?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (20 + (-60813)\/3045)*-154?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1, -0.5, -65986.2, -10?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 48.7 + -8\nAnswer: 40.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a + 19 - 16*a - 2*a**2 - 2*a - 3*a**2 + a**3. Is 36 a factor of k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12522 by -2087.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 13, y: 3}. What is prob of sequence uuyy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -449, 2, -1, -560, 0 in ascending order.\nAnswer: -560, -449, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 28*x**2 + 16*x + 15. Let a be p(-19). Let f = 21648 - a. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 34\/(-51) + 4\/15. What is the nearest to 2\/5 in 7, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 16 = 20. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6603416.1 minutes in days?\nAnswer: 4585.705625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2448))*-4 + (sqrt(2448) - (0 + sqrt(2448))) + 5 + -2.\nAnswer: -48*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 16.396 and -4.\nAnswer: 12.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, g: 1, a: 1, p: 1, b: 1, n: 2}. What is prob of sequence ng?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 316 is divided by 228?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 38633 - -0.043396.\nAnswer: 38633.043396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 168 (base 15) to base 4\nAnswer: 11003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 13557569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227285?\nAnswer: 5, 131, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 5, f: 3}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*b - 6 = -44*b + 2*o, 16 = -4*o. Let k(q) = -18*q - 4. Give k(b).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25064933*a**2 - 8*a + 885385364 wrt a?\nAnswer: -50129866*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from nddndnnnndndd.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 116b - 3?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24\/40*-69 + 3\/(-5). Let h be (-18)\/(-14) + 3\/(s\/4). What is the nearest to -0.4 in h, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*a - 98 - 9*a - 22*a - a - 3*a**4 + a**2 to g*a**3 + n + w*a + i*a**4 + s*a**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = v - 5*w, 0 = -4*v + 2*w + 2 + 8. Suppose -c = -v*c + 15. Solve -2*f = i + 2 - c, 3*f - 4*i + 12 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/2*2)\/(3\/(-15)). Suppose 5*o = 2*o - z. Let c(n) = n**2 - n + 4. Let m be c(0). Sort o, 1, m.\nAnswer: o, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17.02241 - 17.03. What is n rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**2 - 587*f - 4758. Let b be t(-8). Solve 5*p + b*d + 15 = 32, 5*p = 5*d + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1558.181097 rounded to two dps?\nAnswer: -1558.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-100)\/(-10) - (0 + (-6)\/(-3)). Solve -f + o = -2*b + b, 15 = 5*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31824 or -31348?\nAnswer: -31348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866487537?\nAnswer: 3, 761, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 396997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 2*m**2 + 23*m + 4835. List the prime factors of x(0).\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = p + 1. Let s(w) = -4*w - 4. Let o(h) = s(h) + 3*y(h). Let c(d) be the second derivative of 2*d**3\/3 + 11*d. Let m = 62 + -65. What is m*o(r) - c(r)?\nAnswer: -r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(30\/(-4))*-20. Suppose -3*i + 6 = -h, h - 3*h + 2*i + y = 0. Suppose 0 = -n + 6*n - p - 86, n + p = 16. What is the remainder when n is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 223 = -4*k, 0 = 5*v - k - 4*k - 250. Calculate the remainder when v is divided by 1\/(0 + (-2)\/(-32)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1194*d*k - 10950*d wrt k.\nAnswer: 1194*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 2*c**3 + c**2 + c - 1. Let i be t(1). Suppose -2*j - 7 = -z, -z + 3*z = -i*j - 7. Solve z = 5*a + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12.1 - -12. Let w = 0.3 + 0.4. Let i = w + 0.3. Put p, 0.2, i in descending order.\nAnswer: i, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3d4 (base 14) to base 5.\nAnswer: 11044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 320958 = -51957 + 161396. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3890183105.\nAnswer: 5, 29, 26828849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 4, 4*x - 56 = -3*l - l. Let q(o) = 19*o + 17. Let h(v) = 9*v + 8. Give l*h(m) - 6*q(m).\nAnswer: 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -36 - 12*g**3 + 7 + 132*g - 18*g**2 + 9*g**3 - 136*g. Give v(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/14))**(2\/5)\/(x**(1\/21)\/(x*x\/x**(-9)*x*x)) assuming x is positive.\nAnswer: x**(1357\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 253 - 7?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 39 + 199. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*y + 3*a = -14*y + 6, 2*a - 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*p - 9, -2 + 5 = q + 4*p. Suppose -u + q*u - 36 = 4*a, 0 = a + 2. Calculate the highest common divisor of u and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*v = 2*i + 42, -3*i = -3*v + 33. Let h be (-6)\/i - (-13)\/5. What is the second derivative of 17*n + 0*n**5 - 16*n - h*n**5 wrt n?\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 7:11 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t + 2*v + 2 = 0, 0 = -3*t - 4*v - 4. Let c be 136 - ((-1 - t) + 0 + 1). What is the greatest common divisor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -15874184 by -7937092.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -203*q**3 + 0 + 123*q**3 + 0 + 86*q**3 - 3*q**2 + 216*q in the form i*q**2 + d*q**3 + c*q + a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 9:02 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 10356555 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -221 + 231. Solve -s + 2*p = p + n, s = -5*p + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 58441, 58436, 58425, 58408, 58385, 58356?\nAnswer: 58321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 5:27 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 0.9. Let v be 3 - 0 - 6 - 0. Let k be 1 + (v - 34\/(-14)). What is the closest to 1 in k, n, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -237220 - 2?\nAnswer: -237222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -22*g**2 - 5*g + 10. What is p(2)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35.5 - -35.4. What is the nearest to 2\/3 in -2, i, 3.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvqf when four letters picked without replacement from {f: 2, q: 3, t: 1, u: 4, v: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 7:58 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*r - 7*r + 48 = 0. Let t be (-10)\/(60\/(-738)) - r. What is the highest common divisor of 75 and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 291  (b) -0.5  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from noonoooooononooooo. Give prob of sequence nn.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 220 and 66?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -323*y**2 - 304*y**2 - 287*y**2 + 957*y**2.\nAnswer: 43*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*k**2 + 0*k**2 + 2*k**2)*(0*k - 2*k + 3*k) + (-449*k - 149*k - 496*k)*(-k + k + k**2) to the form y*k**3 + s + t*k + l*k**2 and give y.\nAnswer: -1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.6 and 0.127219?\nAnswer: 0.2035504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 36924136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*m - 50*m - 44*m - 94*m - 45*m + 326*m - 53*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.1 and -367348855.\nAnswer: -367348857.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2 + 12*p - 42. Suppose x = 2*m - 29, 382 = x + 2*m + 383. Give o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o + 30 = 37*o. Suppose -o*p + 2*y - 5*y = -165, 65 = p - 2*y. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.064 times -18?\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10142550017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5195)\/(-21819)*18\/(-285).\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(5\/2)*n\/n**36)**(-27\/2) assuming n is positive.\nAnswer: n**(1755\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 146\/((7 - 5) + 0). Let b = w - 215\/3. Factor -2\/3*p**2 - b + 2*p.\nAnswer: -2*(p - 2)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + ((-4 + sqrt(2048)*2)*-4)**2)*1*6.\nAnswer: -49152*sqrt(2) + 787938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4684 divided by 2?\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 8*m**3 + m**2 - 76*m + 698. Is u(8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25526853 divided by -297?\nAnswer: -85949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 266520638 to the nearest integer?\nAnswer: 16325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 + 4. Let c(y) = -y**3 + 9*y**2 - 5*y - 1. What is the remainder when c(6) is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**3 + 16 + 18 + 0*c**3 + 9*c**3 in the form i*c + s + d*c**2 + w*c**3 and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(1078)*-1*-4)\/((sqrt(16)\/sqrt(4)*6)\/(sqrt(10)\/sqrt(80))) + 2.\nAnswer: -7*sqrt(11)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -3, 5, 3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) 1  (c) 2.1  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 16*d**2 + 16*d - 5. Let i(w) = -4 - 8*w**2 + 4*w**2 + 5 - 4*w. Let c(a) = a + 4. Let v be c(-2). Let k(m) = v*f(m) + 9*i(m). Factor k(q).\nAnswer: -(2*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4030 + -10331212?\nAnswer: -10340242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 0 - ((-2)\/6 + 3752\/3024) and 284\/216 + (0 - 0).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -0.2  (b) -10  (c) -1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**4\/12 + y**3\/6 + y**2. Suppose 101 - 317 = -8*q. Let g be q\/45 + ((-48)\/(-10))\/(-3). What is p(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*t + 8 = b - 46*t, -20 = -4*b - 2*t. Let p(x) = 3*x + 10. What is the units digit of p(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of c**3\/6 + c. Let u(k) be the second derivative of -5*k**3\/6 - 5*k. Determine j(u(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 115 and 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s - 1. Let z = 28 - 23. Let g(p) = 3*p - 4. Determine z*i(l) - g(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -67, -55, -23, 29, 101, 193?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, n: 10, s: 2, h: 2, g: 2}. Give prob of picking 1 c, 1 g, and 2 h.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3011233300 (base 4) in base 7?\nAnswer: -6612265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 + -48. Let t = -42 - k. Is 44 - 2\/3*t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81347914 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 8*s - 8. Let z be c(7). Calculate the greatest common factor of z and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + -15 + 8 - (0 + -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*p - 49*p = 2*d + 50, 45 = 5*p - d. Let i(b) = 658*b + 24. Let y(n) = 657*n + 23. Let l(h) = -2*i(h) + 3*y(h). Is l(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 5:44 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17.926 + 0.074. Let a = 1871 + -1871.01. Are k and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.001 - -1.159. What is v rounded to 0 dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 98007*n**3*z + n**2 - 58634*z wrt n?\nAnswer: 588042*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -13, -3, 0, 44, 1208.\nAnswer: -13, -3, 0, 2, 44, 1208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/10*(1 - -3). Suppose -i*h + h = 3*n - 51, 0 = 3*h + 5*n - 133. What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (25 - 0) + (-138 - (26 - (-23 - -115)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 615389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -7*r**4\/3 + 15*r**3\/2 - 19*r**2. What is the first derivative of q(c) wrt c?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p**2 + 7*p - 1. Let j(i) = -3*i**2 + 6*i - 1. Give -3*h(g) + 2*j(g).\nAnswer: 3*g**2 - 9*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 12\/27211 - -435292\/190477. Determine c so that 2\/7*c**2 - h*c + 32\/7 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10358 + 32738. Suppose 10*i - t = 6*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -3*d**2 - 1599714*d + 3199440 = 0.\nAnswer: -533240, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together -14 and 3.094739181.\nAnswer: -10.905260819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c - 5. Let p be g(5). Let v = -3 - p. Calculate the lowest common multiple of 9 and v.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -a - 0. Let f(u) = u**3 + 10*u**2 + 5*u + 43. Let o be f(-10). Let w be o*(-2)\/7*2. Solve a = 2*t + w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a**2*g**3 + 5123*a**2 - 151753*a*g + 5*a wrt g.\nAnswer: 6*a**2*g**2 - 151753*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9229842?\nAnswer: 2, 3, 59, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 429600226 a multiple of 352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.4  (b) 1\/11  (c) 1.92  (d) 54\/11  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 507629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -102*o + 9949. What are the prime factors of s(0)?\nAnswer: 9949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f + 2*f - 3*f)*(6 - 6 + 10*f)*(-4 - 4 + 4)*(10 + 49 + 11)*(3 - 5 + 4) as o*f + t*f**2 + v and give t.\nAnswer: 11200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j**3 + 0 + 0)*(2*j**2 - 2*j**2 - 3*j**2).\nAnswer: 3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4 = 4*u - 10 - 5 - 3, 3*u - 10*x = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s = -14 + 4. Suppose -4*m - 3 = 2*d - 13, -5*d - 3*m + 11 = 0. Let y = 2 - d. Calculate the remainder when s is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the second derivative of f**4\/12 - 2*f**3\/3 + 2*f. What is the second derivative of c(k) wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 23 = -7. Let m be (-32)\/(-10) + (-3)\/j. List the prime factors of 2\/m - (-406)\/21.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 2:29 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48726*s - 5 - 48726*s + 5 - 48721*s + 146174*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.1 from -934350855.\nAnswer: -934350855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 4*x = -94, 5*j - 2298*x - 59 = -2295*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2376*x**5 + 3089*x?\nAnswer: -47520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -371784, -743569, -1115354?\nAnswer: -1487139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189806040 is divided by 189806039.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h*h*h**(-14)*h)\/h**(3\/4))**(-21) assuming h is positive.\nAnswer: h**(903\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 1815 and 1813 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 4*a + 4. Let g = -1 + 6. Is q(g) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 27 = -11 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-25 - -19)*3\/((-6)\/259). What is the greatest common divisor of f and 5957?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20.3031 - 0.4131. Let l = d - 20. Let j = l + 0.1100014. What is j rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1839392 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 2:53 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*r + 3 = 0, 2*z + 4*r = 1 + 5. Suppose -z*u = -4*a, -2*u + 0*u + 4*a = 0. Let i(d) = 328*d - 10 - 653*d - d**2 + 326*d. Calculate i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-5)\/x**(-2)*x**9\/x**(-2\/3) assuming x is positive.\nAnswer: x**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + (11 - (11 - (11 - -12))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 793*b*j*n*u - 2*b*j*n + 3*b*j*u - 3*b*j - 168*j*n + 62104 wrt n.\nAnswer: 793*b*j*u - 2*b*j - 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5870 and 5730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3608 divided by 328\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -4 + 0*w**3 + 4*w**2 + 7*w**3 - 5*w + w - 18*w**3. Let g(s) = -10*s**3 + 3*s**2 - 3*s - 3. Calculate 4*g(u) - 3*l(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14371730141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**4 - 7*x**4 - 2*x**4)*(-1 + 1 + 1).\nAnswer: -10*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 248484211 < 248484209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*x + 5616 = -283*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 170*i + 3740. Let z be h(-22). Let f(u) be the second derivative of 0*u**2 + 5\/3*u**3 + 5\/4*u**4 + z + 1\/4*u**5 + 13*u. Factor f(m).\nAnswer: 5*m*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + -8 + 13 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -10*u + 2. Let m(s) = 5*s**2 + s + 5 - 4 - 6*s**2. Let q(r) = -2*m(r) - z(r). Let p be q(-6). Calculate the highest common factor of p and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 7  (b) 1\/9  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vwvv when four letters picked without replacement from vvwvwvwvwvwwwv.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 394693983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**2 + 27*l + 57. Let c be m(-2). Let i(t) = -18*t + 3*t - 8*t. What is the tens digit of i(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u**5 - 6*u**5 + 7*u**5 - u**3 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 5*q**3 - 14450*q**2 + 28885*q - 14440 = 0.\nAnswer: 1, 2888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 539 = -96*r - 133 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 920720595.\nAnswer: 3, 5, 17, 3610669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + g = 864. Let d = -640\/3 - g. Factor -20\/3*f - 6*f**2 - 1\/3*f**4 - d - 7\/3*f**3.\nAnswer: -(f + 1)*(f + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 + 12368\/192 + (-1)\/(-3)*1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**1\/s)**(-28)*(s\/s**(-1\/2))\/(s*(s\/((s**(-1\/5)*s)\/s)*s)\/s) assuming s is positive.\nAnswer: s**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3224\/3 - 1090. Find the common denominator of 68\/33 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*k + 39*k + 14584*k**2 - 63 - 14577*k**2.\nAnswer: 7*k**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 558 is divided by 95.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 99 divide 4718241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, e: 10, h: 3, g: 2}. What is prob of picking 1 h and 2 e?\nAnswer: 27\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, b: 2, k: 6, o: 1}. Give prob of sequence nb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r. Let m be d(4). Let w = 0 - m. Suppose l - 4 = -i, -5*l + 7 - 3 = i. Solve -i*q = w - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -s - 5. Let c(v) = -102 - 97 - 112 + 308 + 2*v - v. Let z(r) = -2*r + 10. Calculate s*c(m) - 2*z(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -45457292 minus 3?\nAnswer: -45457295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 2. Let k(t) = t**3 - 5*t**2 + 4*t + 4. Let g be k(o). Suppose 5*u + 4 = -6, -5*u = g*d - 102. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30512, 30520, 30532, 30548, 30568?\nAnswer: 30592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 3 - 1)*(3*v - 4*v + 3*v)*(-1 + 1 + 2*v + (-1 + 2 + 1)*(15*v - 8*v - 19*v)).\nAnswer: -572*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = i + i. Let r(g) = -30*g + 34. Let d(u) = 150*u - 177. Let p(c) = 4*d(c) + 21*r(c). What are the prime factors of p(i)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3*4)\/(-3 - -4). Suppose -5*h - a = -2*m, 2*h - m + 4 = -0*h. Let v(c) = c + 7. Is v(h) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.9 + -3. Let r = 69\/2 - 35. Put q, r, -1\/4 in descending order.\nAnswer: q, -1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 36602 = 2*v - v, -4*b = -5*v - 73232. Suppose -4*d = 5*r - b, r + 2*r - 3*d - 10971 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 3*u + 1728 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 37, -3, -3675, 6, 12 in ascending order.\nAnswer: -3675, -3, 4, 6, 12, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (-12 + -9 + 9) - 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*a**2 + a**2 - 3*a**2)*(-5 - 8*a + 5) - 2*a**3 + 0*a + 0*a.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 19  (b) 4  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*p**3 + 741*p**2 - 478*p**2 - 378*p**2 + 3*p**3.\nAnswer: -2*p**3 - 115*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 0*k + 0*k**2 - 3*k**2 - k + 2 + 2*k**3. Let o be j(2). Suppose 4*l = 4*t - 12, 0*t - 12 = 5*l - o*t. Solve l*s = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -40 + -31. Let y = -69 - a. Sort 0, y, -46.\nAnswer: -46, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -63, -44\/409?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45480564.\nAnswer: 2, 3, 107, 11807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -22210122 - 1?\nAnswer: -22210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - ((49 - 109) + 84 - (5 - 1))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -91\/229830 and 51\/5053.\nAnswer: 7124730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2040)\/(-1904))\/(-10*(-1)\/(-24))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -78635023856 + 0.06.\nAnswer: -78635023855.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3 + 429*l**2 - 61347*l + 2924207.\nAnswer: -(l - 143)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 6*a**2 + a - 43. Let c be u(-7). Is c <= 1\/256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 4*o**2 + o**2 + o - 1 + 2. Let b(l) = -l**2. Suppose 3*p - 9 = -21. What is p*b(c) - a(c)?\nAnswer: -c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 1427134.\nAnswer: 2854268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, a: 4, t: 5, w: 3, z: 1, b: 1}. What is prob of picking 1 w and 1 t?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -35 + -5 - -21.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4543\/13660 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 289044 and 5698.\nAnswer: 3179484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/33 + ((-480)\/44)\/(-6). Suppose t - 4 = -4*a, -i = -3*a + a + 2*t. Let b(l) = 9*l - 1. Calculate b(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 1 = -3. Suppose m*y = 3*y. Solve y*p - 2 = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -43062, -86126, -129190, -172254, -215318?\n\"Answer: -43064*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 625362841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*o**4 - 2*o**4 + o**4 + (251 - 251 + 44*o)*(-4*o**3 + 4*o**3 - 2*o**3) to the form c + m*o**2 + t*o**3 + z*o**4 + b*o and give z.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -t**5\/110 + t**4\/66 + 2*t**3\/33 - 17*t. Factor m(k).\nAnswer: -2*k*(k - 2)*(k + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -4 - 4. Let o = 1 + r. Let q(n) = n**2 - n - 2. Let s be q(3). Sort s, 2, o in descending order.\nAnswer: o, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5227.74 - 5102. Let j = -123 + f. Let w = 0.26 + j. Which is the closest to -2?  (a) w  (b) 0.1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25*(-18)\/1800)\/((4\/3)\/1)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -1. Suppose -3*c = -3 - 12. Let p(d) = d**2 + 6*d. Let b(w) = c*u(w) + p(w). Give b(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2072076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((-9)\/5 + 2). Let s(b) = 0*b**2 - n*b**2 - b**3 - 1 + 4*b**2 + 3*b + 4*b**2. What is s(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31*l**4 + 108*l**3 - 2*l + 747 wrt l?\nAnswer: 372*l**2 + 648*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of s**6\/360 - s**5\/24 + s**4\/24 + 5*s**3\/2 + 9*s**2. Let o(z) be the first derivative of n(z). What is o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 958 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 + 30. Let n = o - -1. Find the second derivative of 10*w + 5*w**4 + 159 - 159 + n*w wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v - 2. Let p be z(3). Suppose -p*n + 73 + 667 = 0. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 3*o - 159 = 0, -3*o + 2 = -7. Let f be (21\/p)\/((-2)\/24). What is the third derivative of f*y**2 - 16*y**4 - 3*y**2 - 9*y**4 + 5*y**2 wrt y?\nAnswer: -600*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(5\/3)*l\/l**16*l assuming l is positive.\nAnswer: l**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 79, 3 in ascending order.\nAnswer: 3, 9, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 76193984 and 4762124.\nAnswer: 76193984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.689294m to centimeters.\nAnswer: 268.9294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3204 divided by -267.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159256035, -159256039, -159256043, -159256047, -159256051?\nAnswer: -159256055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unsskqfnu. Give prob of picking 1 u and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**5 + 88*d**4 - 108*d**3 - 792*d**2 + 810*d = 0.\nAnswer: -45, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**2 - 114061*p - 1368876 = 0.\nAnswer: -12, 114073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 - 13 + 13 - 973*i to y*i + k and give y.\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165151 is divided by 164941.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n - 1. Let o be r(-11). What is the third derivative of -15*d**4 + 32*d**2 - 7*d**4 + o*d**4 wrt d?\nAnswer: 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31460, 125910, 283326, 503708?\nAnswer: 787056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*y - 14 = -5*o - 89*y, -377*o = -5*y - 1940 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3024070 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8402395 (base 10) to base 8.\nAnswer: 40032733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**11*q))\/q**37 assuming q is positive.\nAnswer: q**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.1 - -0.6. Let h = 0.1 + 0. What is the closest to 1\/4 in d, -4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - (-452)\/16)*-4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4*z = 26, -2*z - 5 = -15. Let w be (10\/(s + -1))\/1. Suppose 0 = w*n + 2*o + 7, 2*n = -n + o - 13. Is -4 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**3 + 6*l**2 - 9*l - 5. Let j(w) = -w**3 - 4*w**2 + 5*w - 7. Let f = 2 - 7. Let t be j(f). Is m(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -191 + 217. Is s equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*r + 28814 = 24*r + g, 2*r = -4*g + 11522. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**3 + 264*l**2 - 232*l - 2530. What is s(87)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1293)\/6 - 3\/(-6). Let p be (-2 - -1)\/(5\/h). Calculate the highest common divisor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x**3 - 8338*x + 8338*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 64712 times -4\nAnswer: -258848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 19*q**2 - 18*q. Let i(k) = -3037*k. What is i(u(t))?\nAnswer: -57703*t**2 + 54666*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5 + 1)*(-130)\/(-195). Solve 0 = -2*h + u*m - 4 + 10, -2*m = 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 - 2*n - 6. Let b = 6 + 4. Suppose -9*t = -4*t + b. Let v be x(t). Solve -r = -v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {i: 1, q: 2, n: 2, r: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 133768563?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -6 + 15 + 19 + -5 + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-138)\/(-18) + (-9 - -2). Sort 2\/5, b, -0.4, -5.\nAnswer: -5, -0.4, 2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -99 - 10*g + 112 + g**2 + 0*g**2. Let c be r(9). Solve -o = o + c*k - 4, -3*k = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12850909\/108 - -118991. Calculate the common denominator of i and ((-30)\/(-16) - 0)\/(2889\/(-2354)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/280)\/((-8)\/(-20))*-374. Let f = k - -29\/8. Factor 0 + f*x**2 - 2\/7*x.\nAnswer: 2*x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -205, -249, -275, -277, -249, -185, -79?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 1 = 2*k. Let v be (-23)\/(-2) + (-2)\/k. Let i = 12 - v. Which is the smallest value?  (a) i  (b) 2  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191 at most as big as 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 34\/62061 and 20\/21.\nAnswer: 434427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*y - y**2 + 2*y)*(-4*y + 3*y - y) + (0*y**3 - 2*y**3 + y**3)*(1 - 1 + 10) + (-2*y + 2*y + y)*(2*y**2 + y**2 - 5*y**2))*(0*y**2 + 3*y**2 - y**2).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:16 AM and 8:15 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of -b**6\/120 - b**5\/5 - 3*b**4\/2 - 16*b**3\/3 - 64*b**2 + 98*b. Let n(m) be the first derivative of a(m). Factor n(x).\nAnswer: -(x + 2)**2*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + -0.9. Let d = l + 1. Let u = -0.8 + d. Sort u, -1\/4, -3 in decreasing order.\nAnswer: u, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 72629 and 541640?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*l - 3 + 3)*(-24*l + 6*l - 58*l - 34*l) to the form i*l + r*l**2 + c and give r.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6634955 divided by -1326991\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the second derivative of -d**7\/21 - 2*d**6\/15 + 3*d**5\/10 + 4*d**4\/3 + 4*d**3\/3 - 32*d. Solve n(h) = 0 for h.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 10*u**2 + 26*u + 17. Calculate f(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 2*c = -14, -42*i + 41*i = 2*c + 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 - 7*d**2 + 11*d + 72. Let c be m(-7). Sort 4, c, -40, 3 in descending order.\nAnswer: 4, 3, c, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 172406 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 131 = 2*g, 4*g - d - 202 = -387. Let v(p) = -p**3 - 46*p**2 + 96*p + 2. What is v(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10101010000011 (base 2) to base 15\nAnswer: 3358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -41, 4, -0.1 in decreasing order.\nAnswer: 20, 4, -0.1, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (759\/92 + -9)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-546)\/(-936))\/(63\/24). What is the second smallest value in -3, u, 0.2, 4\/7, -29?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 200, 708, 1700, 3338, 5784?\nAnswer: 9200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192)*1 + -3 + sqrt(192) + sqrt(192) + 1*sqrt(192)*-3 + sqrt(192) + -1 + sqrt(192) + sqrt(192) + 1 + sqrt(192) + sqrt(192) + -3 + -2 + 1)**2.\nAnswer: -560*sqrt(3) + 4849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + x - 6. Suppose -x = p - 9. Suppose 0*c + 2*c = -p, 95 = 4*a - 5*c. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**5\/24 + 5*g**4\/24 - g**3 + 25*g**2. Let o(z) be the first derivative of v(z). What is the units digit of o(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10754.771 + 10750. Let g = d + 0.771. Put g, 2\/11, 8 in ascending order.\nAnswer: g, 2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c - 4*c**2 + 2*c - 3*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r - 63*r**3 - 2 - 169*r**4 - 142*r**2 + 140*r**2 + 166*r**4 to the form f + u*r**4 + l*r**2 + y*r + h*r**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5704781.\nAnswer: 41, 61, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 860 + 1945 - 2*w + 1589 - 1397 + 1764.\nAnswer: -2*w + 4761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 16 = -4. Suppose 21 = 3*c + z. Calculate the lowest common multiple of 9 and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/8*(2 - -2). Let l = q + -1. Let u(w) = -w**2 - w - 5. Let m be u(l). Let z(s) = s + 12. Determine z(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 5*k**2 + 3. Let c be f(5). Suppose c*p = 6*p - 132. Suppose 0 = -v + 5*v - p. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 7) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -360 by 30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 34179, 68358, 102537, 136716, 170895?\n\"Answer: 34179*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-63))\/((-110)\/(-154)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28 + 25)\/((-24)\/1). Let g = 0.29 - 0.29. Which is the second biggest value?  (a) 0.2  (b) v  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c + 5*m = -3, 125*m - 109*m + 40 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7.31 - 32.31. What is the closest to t in 0, 0.4, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 4*w - 355 = 0, -600 - 5 = -5*d - 4*w. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/12752 and -39\/214?\nAnswer: 1364464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3835 - 3839. Let z(w) = -w**2 - w. Let y(q) = -2*q**2 - 3*q + 2. What is p*z(t) + y(t)?\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the first derivative of 7*c**2\/2 - 34*c + 11. Let q be b(7). What is the greatest common divisor of 60 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1608, -1610, -1612?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 38427 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-2\/3))\/(k\/(((k\/k**(-6))\/k)\/k)))\/(k*k**(-20)*k*k*k\/(k*k*k\/k**(-13)*k)))**(7\/4) assuming k is positive.\nAnswer: k**(196\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.4, 0.02, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l + 3*l - 12. Let v(i) = -11*i + i**2 - 4 - l*i + 16*i. Does 2 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*k**4 + 24*k**3 + 287*k**2 + 6*k - 58270.\nAnswer: -28*k**3 + 72*k**2 + 574*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 147\/(-14)*(-12)\/(-42).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 241 + -239. Which is the biggest value?  (a) 16  (b) p  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + 100. Suppose 0 = 24*q - 51*q + 486. What is the remainder when m is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/4  (b) -0.5  (c) 1\/10  (d) -81  (e) 4\/5  (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-3\/7))\/w**8*w**(-1\/17)*w**(1\/6)*w assuming w is positive.\nAnswer: w**(-3901\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -2*q + 5*z, -3*q - 37 = 1204796*z - 1204793*z - 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5  (b) -11  (c) 4  (d) 0.1  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (84\/35)\/12 - (-1)\/(-3).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16951 - -17056) + (0 - -1)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44053.\nAnswer: 44053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + -1. Let m be (2733\/2)\/(-901 - 14). Let u = m - 2\/305. Which is the biggest value?  (a) f  (b) 3  (c) 8\/7  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 92217904, 92217902, 92217900, 92217898?\nAnswer: 92217896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (((-4)\/5)\/2)\/(55\/(-33800)). Suppose 7*x - 2*x - 1230 = 0. Let l = n - x. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15209899387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 57 + 185 + 37 - t in the form m + w*t and give m.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 72625, 145165, 217641, 290023, 362281, 434385, 506305?\nAnswer: 578011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g - 1. Let c be o(0). Put -2, -4, c in ascending order.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 2*t = -2*s - 72, 0 = 4*s + t + 147. Let d = 16 + s. What is the units digit of 3\/(-7) + (-240)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -p**3\/7 - 1024*p**2\/7 - 1021*p\/7 + 2046\/7 = 0?\nAnswer: -1023, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v = -110 + 158 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -5, -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 66\/110 - 1\/(170\/92). Let n be ((-16)\/(-10))\/((-2)\/20). Let o be (n\/6 + 3)*0. Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1615 + -1134. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7075)\/(-20) + (45\/(-12) - -3). Let g = r + -176. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -66*v. Let a(t) = 213*t - 102*t - 110*t. Calculate c(a(y)).\nAnswer: -66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 27168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 2:47 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 PM and 3:51 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16860, -1, -10, 3 in ascending order.\nAnswer: -16860, -10, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 7*g**2 + g. Let c(s) = s**3 - 5*s**2 - 2*s + 4. Let d be c(4). Let o = d - -19. Calculate w(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/37 > 4501350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence obi when three letters picked without replacement from {o: 2, p: 3, i: 2, y: 6, b: 2}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -7*w**2 + 6 + 5*w**2 - 9*w**2 + 17*w**2 + 25*w**2. Let c(o) = o**2 - 1. Give -6*c(y) - r(y).\nAnswer: -37*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5164 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*p + 4*f, -2*f = 39*p - 40*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4068\/8814 + 103\/(-26). Which is the closest to -1?  (a) -0.5  (b) -71  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 2:32 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50645 + -35366. List the prime factors of v.\nAnswer: 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d*d**(2\/7)*d)**45\/(d*d*d**(2\/15)*d*d**(1\/2)\/d*d) assuming d is positive.\nAnswer: d**(39737\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 1*(28 + -4 + -6)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - 2 - -3) + -11 + 14. Let p = -0.5 - -0.5. What is the closest to p in t, 3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40122092 by 4.\nAnswer: -10030523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -1427*x**2 - 14259*x - 33. Calculate k(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 = 7*m + 4*g - 7*g + 22, 6*m + 4*g - 8 = -70 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5  (b) -29  (c) 2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/(-63) - 6) + 1\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -252\/5 + 468\/5*w**3 - 768\/5*w + 531\/5*w**2 + 21\/5*w**4 = 0. What is w?\nAnswer: -21, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 33 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-164)\/(-164) + 2\/1 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (60\/(-9))\/((-3)\/(-9)). Let a = q + 57. List the prime factors of a.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.0793 + -0.0207. What is the nearest to 0.1 in -2, 59, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 1061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xmxmxmxxmxxxmmmxmm. What is prob of picking 3 x?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*o**5\/9 - 10178*o**4\/9 - 961244*o**3\/3 - 247142804*o**2\/9 + 502977566*o\/9 - 28104538 = 0. What is o?\nAnswer: -3069\/5, -203, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5030 = -123*n + 1706*n + 35107 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -41, 0.31, -8.2, -0.1?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 - 20*d + 19. Let o(v) = v**2 + 21*v - 18. Let h(f) = -4*o(f) - 5*q(f). What is h(-17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((sqrt(90) - (sqrt(90) + (sqrt(90)*1 + sqrt(90))*-6)) + sqrt(90) + sqrt(90) - sqrt(90))\/(sqrt(60)\/sqrt(48)) - (6*sqrt(72)\/sqrt(4)*-3 + -5)).\nAnswer: 10 + 132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -206*b + 9*b**2 - 214*b + 2 - 3 + 417*b in the form r*b + a + j*b**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*m**3 - 2 + 1 - 10*m**3 - m + 5*m**2 in the form p*m**3 + x*m + y + a*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 368\/(-14)*((-10)\/4 - 1). Let z(q) = -q - 94 + 186 - y. Let n(p) be the third derivative of 23*p**5\/60 + p**2. Determine n(z(h)).\nAnswer: 23*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -2391 and -2391 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z**2 - 15*z - 78. Give n(-4).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.01 - -0.01. Let d = 1 - -9. Let x = -5 + d. Sort 2\/3, x, w.\nAnswer: w, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12405 is divided by 730?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7 - -34?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**4\/4 - 16*i**3\/3 + i**2\/2 - 7*i - 22. Let x be s(-16). Let v = 7 - x. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 146 + 52. Let n = 193 - j. What is the closest to 1 in 2\/3, n, -0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -841, -1272, -2445, -4732, -8505?\nAnswer: -14136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -23187*k**2 + 2*k. Let a be d(-4). What is a rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 1 - 3*w + 0*w**3 - 1 - 2*w**2 - 3 + 2*w**3. Let d be c(3). Suppose -p + d = p. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 - 5*l**2 - 40*l + 60.\nAnswer: 5*(l - 2)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-12))\/i*(i*i**(-4\/7))\/i)\/((i\/(i**(-9)\/i))\/i*i*i**(-2\/13)\/i*i) assuming i is positive.\nAnswer: i**(53\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**2 + 9*h + 17. Let z be d(-2). Suppose 2*n + w = -3*n + 185, -z*n = -w - 119. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 238 and 5492394.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 15\/120*2\/3*-1. Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*h - 19 = 26*h + w, 3*h + 3 = -5*w. Solve 4 = q + f - 0, 2*q = -h*f + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -d**2 - 6286*d - 2701408 = 0. Calculate d.\nAnswer: -5822, -464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 u when three letters picked without replacement from zzuuzz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -257133*v**3 + 771407*v**3 - 257136*v**3 - 257130*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 2437149 and 2437149 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2050 - -3778. Suppose -28*a = -60*a + q. Put 3, -1, 1, a in descending order.\nAnswer: a, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 200, 197, 194, 191, 188?\n\"Answer: -3*g + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88, 85, 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.534689 - 6.7679.\nAnswer: -12.302589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.01 and -1.65.\nAnswer: -0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10533 (base 6) to base 13.\nAnswer: -8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of b**6\/60 + b**5\/60 + b**4\/3 + 14*b. Let o(s) be the third derivative of n(s). What is the units digit of o(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1573 = 53*k - 66*k. Calculate the remainder when 361 is divided by k.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkqo when four letters picked without replacement from {l: 3, o: 1, k: 4, b: 3, q: 4, h: 5}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n + 12 - 2 - 10. Let f(l) = -23*l. Calculate f(t(i)).\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 7:52 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -376 = -208*f + 20*f. Solve -34*a - h - 14 = -30*a, f*a - 2 = -5*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(325) + ((sqrt(325)*3 + sqrt(325))*-6)**2.\nAnswer: 5*sqrt(13) + 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -724*o = -767*o + 344 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 467 divide 734194517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*n + 95*n = 232*n + 72 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**2\/7 - 460916*c\/7 + 73695360\/7 = 0?\nAnswer: 160, 230298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**3\/6 - 26*t. Let k(z) = -13*z**2. Calculate k(f(h)).\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - 1) + 2 - 28.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**3 - 2*n**3 + n**3)*(7*n - 2*n + 4*n) + (-4 + 5*n**2 + 4)*(-5*n + 5*n + 3*n)*(-5*n + 3*n + 0*n).\nAnswer: -21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -651035  (b) -2  (c) 0  (d) 2\/11  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (88\/(-55))\/((-4)\/200) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -2*g**2 - 19*g - 13. Give b(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 13\/(-6 - 154\/(-28)). Put 5, 48, q in ascending order.\nAnswer: q, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -134302168 or -134302167?\nAnswer: -134302167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + 12*g - 12. Let w be c(-9). Find the common denominator of (-377)\/w*(-3)\/(-10) and -13\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 6) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 9:25 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*s + 15*s**2 + 15*s**2 - 29*s**2 - 4*s**3 + 6*s + 15 to o*s**2 + q*s**3 + y*s + n and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 896.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from azazzyzazzazezeyzzz. What is prob of sequence az?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0\/4)\/(2*2\/(-4)). Suppose 3*n - 6 = -2*y, 4 = 2*n + 2*y - d*y. Solve -z - 3*w - 1 = -n*z, 0 = -z - 5*w - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00172 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 45 = -2*t, -2*t = -3*n + 18 + 25 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 4*d - 2. Give v(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + j - 475. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 235 or -0.584?\nAnswer: 235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-8)*14\/(-3)*1728*235\/(-14805).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**2\/9 - 30572*n\/9 + 116830898\/9 = 0.\nAnswer: 7643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4351 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7835289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(891)*-1 - (sqrt(891)*-1 + 1))**2*4.\nAnswer: 72*sqrt(11) + 3568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 141607768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = z - r, -15159318*z - 4*r = -15159316*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from mfnsjnr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*q + 0*q - 4*q)*((0 + 0 - q**3)*(-q + 1 - 1) + 2*q**4 + 3*q**2 - 3*q**2 - 4*q**3 + 2*q**4 + 4*q**3) + (83 - 83 + 28*q**3)*(18 - 18 + 15*q**2).\nAnswer: 430*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3\/(-9))\/((-11)\/(-99)))\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -48, -156, -340, -600, -936?\n\"Answer: -38*l**2 + 6*l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 29242006 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3243*p**2*t - 14166742*p**2 + 716*t wrt t.\nAnswer: 3243*p**2 + 716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2333323121 (base 4) to base 12.\nAnswer: 31ab35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 75 and 749806.9825.\nAnswer: 749881.9825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 518*o - 4144. Let d(i) = 8. Let c(s) = 518*d(s) + z(s). Let j(m) = -2*m. Calculate c(j(q)).\nAnswer: -1036*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**3 + 20*h**2 + 22*h - 16. Let b be c(21). Solve 0 = -b*k + 1 + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -5*n + 20, 3*n - 5*c + 3*c - 25 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.5, -2\/13, -4, 8.35?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 57, 67, 101, 171, 289, 467?\n\"Answer: 2*r**3 - 4*r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 67*r - 569. Let h(u) = -17*u + 142. Let s(f) = -2*c(f) - 9*h(f). Is s(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-2))\/((-6)\/(-112)). Let f = -103 - -62. Let v = o - f. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 12 + 9 = 0. Suppose -5419 = -4*m + 5*b, -5*m - v*b + 3428 = -3392. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 50.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1591 + -909. Calculate the remainder when g is divided by 162.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b + 16*b = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 77\/15 + -14\/5. Let a = 2\/116435 + 1653357\/1164350. What is the common denominator of a and n?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 175789 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -125 - -177. What is the highest common factor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -7*q**3\/3 - 7*q - 16798. Let t(m) = m**2 + 1. Suppose 2*h + 3*v - 12 = 0, 3*h - 3*v - 24 = -6. What is h*t(w) + r(w)?\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*2\/18)\/(28\/(-56)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-14))\/m*m**19\/m*(m**8)**33 assuming m is positive.\nAnswer: m**296","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1046104327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -102222101 (base 3) in base 11?\nAnswer: -6618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.25 + 1.01. Let r = -62 - -60. Which is the nearest to s?  (a) -4  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.6, -1\/11, -9, -71, 16 in increasing order.\nAnswer: -71, -9, -3, -0.6, -1\/11, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(144) + (3*sqrt(256) - sqrt(256)))\/(1*(sqrt(392) + sqrt(392)*1)*-2).\nAnswer: 5*sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0316583 from 1.\nAnswer: 0.9683417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 6  (b) -0.3  (c) -28\/57  (d) 7  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-180)*(1 - 1 - 4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + 44. Suppose -4*k + 1 = -5*i, 0*i - 19 = -5*i - k. Suppose -3*z + a = -2*d - i*d, -24 = -4*z - 4*d. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6992 is divided by 2328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-27))\/(2\/6)*(-144)\/1368\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -95*a + 2*a**2 + 2*a**3 + 5 - 5 + 59*a as b + v*a**2 + j*a**3 + c*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 1) + -8 + 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/(-10)*(-140)\/6. Let b be -4 + (z\/13 - -2). Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-50)*(-5655)\/(-78) - 16\/(-200)*-5.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 18. Let a = -11.1 - k. Which is bigger: a or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 237 and 4266?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -8 + 68d?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1995281 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/26*(-4189)\/71?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 61102, 244555, 550314, 978379?\n\"Answer: 61153*c**2 - 6*c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -1\/12*o**4 + 0*o + 0*o**3 - 1\/2*o**2 - 7. Let k(v) be the second derivative of i(v). Let s(m) = 6*m. Give s(k(z)).\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -54*r**3 - 30*r**3 + 52*r**3 + (-2*r**3 + 2 - 2)*(1 - 1 - 2) + (0 + 2 + 0)*(r**3 - r**3 - 2*r**3).\nAnswer: -32*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttgbbwgbtbtbtjvtwgwj. Give prob of picking 1 t, 2 b, and 1 v.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 21 - 15. Suppose o*h - 3*h = 1089. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 + 7 + -1 + 15 + (-9 - -2)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*k - 11*k - 45 = 0. Let w be (-2)\/k + (-18450)\/81. Which is smaller: w or -227?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 33 - 3000874?\nAnswer: -3000841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 4*a = -13 + 1, 0 = -x + 4*a + 8. Suppose 3*w - 14 = -2*h, -x*w + 21 = h + 2*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55 - 26 + 87 + 7*d.\nAnswer: 7*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -25*m**3 + 40*m**2 + 40*m. Let q(z) = -2*z**3 + 3*z**2 + 3*z. Let c be 1\/(-1) - (-6)\/((-12)\/(-82)). Calculate c*q(b) - 3*n(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -216 + 143. Let n = -73.3 - p. Let c = -0.3 + -0.7. What is the closest to -1 in c, -2\/9, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(180) + 0 + -1*(sqrt(180)*-1 + sqrt(180)) - (sqrt(180) + (sqrt(180) - sqrt(180)*2) + 2)*5) + 4.\nAnswer: -8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*s + 10*s + 19 = -9*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.959 + -0.9589692. What is z rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-54)\/9)\/60*2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 + 7*l + 128. Calculate r(17).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 62280 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13404.\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2 - 70*y - 5709. Determine z(-49).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2 - 16*w - w**2 + 26*w + w**3 - 12*w. Let r(p) = p + 1. Determine -h(d) - 2*r(d).\nAnswer: -d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 75*f**4 - 440*f**3 - 3060*f**2 - 400*f = 0.\nAnswer: -4, -2\/15, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/(-12) + (-10)\/(-4). Let y(f) = 8*f + 4*f**l - 20*f + 10 + 9*f. What is the units digit of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -12152.\nAnswer: -2430.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kiiixiikqmmi. Give prob of picking 1 m, 1 i, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4772.15 - 4885. Let a = n + 112. What is a rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2032 and 100?\nAnswer: 50800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzpzpzzppp. What is prob of picking 3 z and 1 p?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110202011111 (base 3) to base 4.\nAnswer: -11000233303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 28772, 30181, 31590, 32999?\n\"Answer: 1409*t + 27363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 3020*j - 6. Let l(m) = -15244957*m + 30290. Calculate -9*l(f) - 45435*z(f).\nAnswer: -9087*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -386, -5, -3156.\nAnswer: -3156, -386, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18670891 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(-5)\/2*-2. Solve m*n = 4*n + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 30?  (a) 4  (b) -3  (c) 1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.057 + 0.057. Which is the third biggest value?  (a) 2  (b) -1  (c) 4  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y - 6. Calculate o(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1632 divided by -136.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-5) + (-7)\/(-5). Let f(u) = 2*u - 4*u + 0*u + u - m. Determine f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, c: 5, r: 3, l: 1, p: 1}. What is prob of sequence clpw?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 25*b**2 + b. Let t be a(-1). Calculate the greatest common divisor of t and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c**2 - 4*c**3 - 3*c**2)*(c - c + 2*c**2) + 14*c**4 - 19*c**4 - 27167*c**5 - 4*c**4 + 9*c**4.\nAnswer: -27175*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(162) - -1*sqrt(882))\/((2*sqrt(81))\/sqrt(9) + (3*sqrt(54))\/sqrt(6)).\nAnswer: -11*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = p - 5*h - 21, 5*p - 4*h - 278 = 0. Let b = p + -50. Let x(t) = t**3 - 7*t**2 - 8*t. Let m be x(8). Solve b*o + 4 + 0 = m for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16775*u + 1691*u + 8 - 8 to t + p*u and give p.\nAnswer: 18466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 6*j**2 + 6*j. Let m be o(-5). Let u = m + 7. Calculate the highest common factor of u and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.11 less than -126256?\nAnswer: -126254.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 5 = 1. Let b be (-141)\/(-3)*(3 + x). Suppose 512 - 3661 = -67*i. Is i at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-290)*29*(-115)\/(-30)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1125*s + 1127*s = 0, 0 = -5*x + 4*s - 13*s + 95 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 3. Let j(h) = -3*h - 7. Let g be j(0). Let q = -6 - g. Which is the third biggest value?  (a) q  (b) v  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*z - 90, 4*z - 108 = 6*h - 2*h. Let u be 1 - -2 - 4*-9. Let k = h + u. Calculate the highest common factor of k and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - 2. Suppose 0 = l - h + 3*h + 10, -3*l = 2*h + 14. Let i be (0 + l - r) + 4. Are i and 3\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 414876 and 81312?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) 5.92  (b) -0.09  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8006735 is divided by 2668856?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -s**4\/4 + 4*s**3\/3 - s**2 + s + 16. Let o(t) = 3*t - 3. Let c be o(2). What are the prime factors of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1, -168, 17\/4, 1\/2, 92?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3*y**3 + 8. Suppose -m - 2*m = 15. Let j(w) = 1. Let d(b) = m*j(b) + z(b). Differentiate d(q) wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 55 + -53. Suppose -5 = -69*w + 70*w. Let n = -3\/2 - -5\/4. What is the smallest value in v, 0.7, w, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(256) - (sqrt(256) - -3*(sqrt(256) + sqrt(256)*-2)) - sqrt(256))\/(((sqrt(144) + (2*sqrt(144) + sqrt(144) - sqrt(144)))\/sqrt(6))\/sqrt(3)))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -81, -69, 17, -3 in increasing order.\nAnswer: -81, -69, -3, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of -o**4\/8 + o**3\/2 - 6*o**2. Let c be k(-4). Suppose 2*a - 4 = 2*n - 2*a, 3*n - c = -a. Solve -2*w - 10 = -n*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -70*s - 5*n - 94 + 1698, 5*s + 2*n + 152 = 263 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1099931216 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, m: 5, x: 4, y: 1, u: 1}. What is prob of sequence yx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15738 by 5.\nAnswer: 15738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 753565086 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 688*c + 3 - 5 + 2321*c**3 - 687*c.\nAnswer: 2321*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2250 = -7*g + 25*g. Are g and 124 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2303210 (base 4) to base 11.\nAnswer: -86a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-4)*(-32)\/(-12). Let v(n) = -4*n**2 + 6*n - 2. Let o(u) = -5*u - 36 + 78 + 3*u**2 - 40. Calculate j*v(q) + 5*o(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 3  (c) 4  (d) -5  (e) -74542  (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -8*v**3 + v**2 + v - 1. Give z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.845 - -0.055. Let k = 15 - p. What is the nearest to k in -4, 0.2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9754?\nAnswer: 2, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 5344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of h**4\/4 - 16*h**3\/3 + 15*h**2\/2 + 13. Let l be x(15). Which is the nearest to l?  (a) 4  (b) 0.3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the third derivative of -7439*u**6\/120 - 394*u**3 - 17*u**2 - 149. Find the first derivative of q(k) wrt k.\nAnswer: -22317*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1692.2 and -2332513.\nAnswer: -2334205.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/208 and 20\/(-672)*2*492\/(-80).\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (14 + (6 - 15 - -7) + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 682?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -3*v. Suppose -44 = -5*x - 14. Let w be k(x). Let c(q) = -q**2 - 2*q. Let l(a) = -9*a + a**2 - a**2 - 4*a**2. What is w*c(z) + 4*l(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 5 = 5*y, -4*t + 14 = 133*y - 136*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 668900 by 133780.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 bigger than -2\/1012249349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of x**3\/3 + 282*x**2 + 2690. Factor f(b).\nAnswer: b*(b + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3316)\/180 - 737\/(-335)) + 4\/18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**4 + 80*d*s**2 - 161*s**2 wrt d?\nAnswer: 8*d**3 + 80*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8207 + -169120.\nAnswer: -177327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.052  (b) 0.05  (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15239249 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 1144417974.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49373*j**2 + 1019 - 1019.\nAnswer: 49373*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 152 and 3656.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 165\/13 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 2*k + 9 + 7, 2*c + 5*k = -21. Is (c - 147\/(-6))*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 - 9*t**2 - 3*t - 1. Suppose -152*n = -126*n - 234. Give p(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 47458.\nAnswer: 237290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qql when three letters picked without replacement from {q: 3, l: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -77052 and -0.025.\nAnswer: 1926.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/8 at least 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 4*b = 28, -2*k + 6*k - 4*b = -20. Let d(r) = -3 - 9 - 10*r - r**2 + 3. Give d(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c + 8. Let i be k(-6). Let x = 77 + -63. Suppose -2 = 2*u - 4, 4*u = -5*w + x. Solve w*j - 6 = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tx when two letters picked without replacement from xeexjt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 39\/11, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2858, 5715, 8572, 11429, 14286, 17143?\nAnswer: 20000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 87 - 81. Suppose -x - q = 2*q - 9, -3*q + w = 0. Suppose 4*f + 180 - 10 = 2*h, -x*h + 5*f = -255. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = j + 2. Suppose -5 = -x - j. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 AM and 3:21 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -734.4 to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5319 or 31915\/6?\nAnswer: 5319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of c**4\/24 - c**3 - 5*c**2. Calculate s(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**4*l)**(-37)*(l\/(((l*l**(-6))\/l)\/l))\/(l\/(l*l\/l**(-1\/39)*l)) assuming l is positive.\nAnswer: l**(-6824\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 281\/1122 + -7\/102. Let g = 70 + -66.3. Let h = 4 - g. Which is the second biggest value?  (a) m  (b) h  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -2 + (-2 - 0) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 112 and 252?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -2*v. Let y(t) = 105*t**2 - 2*t + 2. Let j be y(1). Let b be ((-8)\/(-10))\/(42\/j). Let c(d) = -4*d + 4*d + 17*d**b - 4*d**2. Calculate w(c(p)).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.4015  (c) 0.2  (d) 5\/3  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 77288689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 46*j**2 + 13*j + 11. Let w(q) = -186*q**2 - 53*q - 44. Let v(d) = 9*f(d) + 2*w(d). What is the lowest common multiple of 147 and v(-1)?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -z - 6 + 18, -3*r + z = -6. Solve r*w + 0*i + 11 = 2*i, -2*w + 2*i = 6 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 2*p**2 - 2*p + 49. Let c be q(0). Suppose 0 = 43*o - c*o. Solve 3*x - x - 6 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(18)*-2*5 + sqrt(18))*6)\/(-2*(sqrt(1296)*3 + sqrt(1296))*-1).\nAnswer: 27*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2924 + 3*v**3 + 0*v**3 - 2811 + v**3 + 0*v + v as m*v**3 + c*v**2 + f + b*v and give f.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/3, 4\/9, -2\/5, -2\/13?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -70 - -74. Let f be ((-18)\/s - -4)*0. Let y be f + 2 + -1 - (-10 - -9). Solve 0*v = y*v + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 125*a*c**3*h + 154*a*c*h + 5*a*h + c**6 - c**4*h - c**2*h - 2*c*h wrt c.\nAnswer: 750*a*h + 120*c**3 - 24*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 54*d**3 + d**2 + d + 1. What is t(-1)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.73314 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8235 = 27*n - 607068. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3578 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -780\/11 + 71. Which is the nearest to 0.1?  (a) 2  (b) v  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and 0.0255?\nAnswer: 3.9745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/21456 and -17\/16092.\nAnswer: 64368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 424 = -421. Suppose -4*p = 5*f + 2, -v*f + 6*f - 12 = 2*p. Find r, given that 1\/3*r**3 + 0 + 0*r - 2*r**f + 1\/3*r**4 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1311 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1625971 + 5?\nAnswer: 1625976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 24 + 93 = 2*z, 2*z = -u + 79. Calculate the remainder when z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-22) - (-5)\/((-550)\/78813). Let o be (-4318)\/6 + 4\/6. Let a = o - n. What is the common denominator of a and -1\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 + 2*v + 39. Give g(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 3*j**2 - 10*j - 2. Let i be f(4). Suppose -22*s - 450 - 144 = 0. Are i and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-48)\/(-96))\/(2*1\/(-48)*2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -123 + 63 + 51 - z. Calculate g(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4888429 take away -0.97?\nAnswer: 4888429.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0006775 + 0.0006. What is c rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1350 and 15.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.08 and 44?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, c: 3, h: 16}. Give prob of picking 2 c and 1 h.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * 1.22\nAnswer: -0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47276176.\nAnswer: 2, 103, 28687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*z - 1331, -2*m - 816 = 3*z + 1193. Let k = 1035 + z. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 52 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-363)\/(-4)*(-64)\/(-24).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 972990 and -0.03.\nAnswer: -29189.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/6)\/((-1)\/(-2)). Let x(c) = -2*c**3 - 2*c**2 - 2*c. Let i be x(o). What is the highest common divisor of 60 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-1)*s)\/s*s*s**(-3)*s)**5)**(-44) assuming s is positive.\nAnswer: s**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -3664\/33, -2\/17 in descending order.\nAnswer: -2\/17, -21, -3664\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6058 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*n - 65 = 5*n - 3*h - 53 + 30, h - 2 = 0 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0096917 rounded to four decimal places?\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (6 - 2) - (3 - -2) - -11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 128*u + 3012 - 24772. Calculate the remainder when 998 is divided by u.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3528, 28366, 95780, 227058, 443488, 766358?\n\"Answer: 3548*z**3 + 2*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45246900 is divided by 321.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -435*u + 14481. What is i(35)?\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -394 - -396. Let b = -1.1 - -1.6. What is the closest to -2\/5 in j, b, -1.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 - 19*c - 2. Let w be s(-18). Suppose 11*l - w*l = -215. Let t = l + 117. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1707986*t + 2313073*t + 1980722*t.\nAnswer: 2585809*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00135825 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1647 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 756011?\nAnswer: 756011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 54, 140, 226, 312?\n\"Answer: 86*d - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.341319 minutes to milliseconds.\nAnswer: 560479.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -282, -2, -0.034, -4, 2\/7, -6 in decreasing order.\nAnswer: 2\/7, -0.034, -2, -4, -6, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 4*c + 2*s - 9, 3 = c - 4*s. Solve 3*d = -4*o + d - 2, d + c = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*p = -2*i - 42*p - 8, -26 = 4*i - 3*p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 4446*c**5 + 37014*c**4 + 9086*c**3 - 19342*c**2 + 4108*c - 32 = 0.\nAnswer: -8, -1, 2\/247, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -8*w**2 + 1326*w - 990.\nAnswer: -2*(w - 165)*(4*w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 230 by 2822578.\nAnswer: 115\/1411289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*k - 207 - 333 = 0. Suppose 0 = -5*h + 104 + 76. Calculate the highest common divisor of h and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.718 + 0.8857746?\nAnswer: 24.6037746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 6) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12*56\/36 + (-9)\/(-27). Calculate the highest common factor of k and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*k - 488*k - 13*k - 68*k - 48901 = 0 for k.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 - 3. Let r(t) = 3*t + t - z*t. Let j(h) = 0*h + 2*h - h. Calculate r(j(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 466664733 divided by 27?\nAnswer: 17283879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 138 - -222. Suppose -5*i + 5*c + 370 = 0, -5*i - c = 4*c - z. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 356 a factor of 13887863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3403*p - 4647*p + 4976 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 5*o + 1528 = 0, 7*c - 3*c - 3028 = 4*o. What is the highest common divisor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.056 - 2.056. Let n(q) = q**3 + q**2 + 2*q - 4. Let z be n(6). Let g be (-2)\/11 - z\/22. Which is the third smallest value?  (a) s  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -6*b - 1. Let l be n(-3). Suppose 2*g + 3 = l. What is the highest common factor of 35 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -518, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -141  (b) -1\/9  (c) -38  (d) -0.1  (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -9. Calculate the remainder when 1*98*z\/6 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 925.9 to the nearest 10.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 12353 = -43417. Is 28 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 1342, 1\/2.\nAnswer: -2\/5, 1\/2, 1342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -462479\/205 - -2256. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:03 PM and 4:40 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -161 + 65. Let j = 32 - 18. What are the prime factors of f\/(7\/j*(2 + -4))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-51)\/(-3)*(3 - 4)*-1. What are the prime factors of 10*j\/(-3)*-3?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -23*a*i**2 + 3*a*i - 21716210*a + 3826*i**3 wrt i?\nAnswer: -46*a*i + 3*a + 11478*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 61\/3 - 20. Let m = -2.12 - -0.12. What is the nearest to x in m, -4\/9, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -12, -29, -46, -63, -80, -97?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -208, -207, -198, -175, -132, -63, 38?\n\"Answer: u**3 - 2*u**2 - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 595 = 4*l - 77, -3*l - 783 = -3*t. Calculate the remainder when t is divided by 69.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 AM and 8:25 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2151128 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(1\/35)\/b**(5\/2) assuming b is positive.\nAnswer: b**(-173\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 15843 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(9\/93) + 3\/(-9). Let v(p) = -p**3 + 10*p**2 + 8*p - 5. What is the units digit of v(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-48)*12\/1*138\/(-25461)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5663 in -1\/5, 16\/9, 3\/5, -0.01, 0.3?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 26 and 561834?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -341375 by -125.\nAnswer: 2731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 9*l + 7. Let s be j(8). Suppose -17 = -4*n + 27. Let g(y) = 6*y + 4. Let p(h) = 18*h + 11. Let u(v) = n*g(v) - 4*p(v). Calculate u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = 4*b - 20*b + 228 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -1096*j + 4377. What is d(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -20, 11, -103, -3 in descending order.\nAnswer: 11, 3, -3, -20, -103","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 4*g = 43, 3*g = -5*c + 3636 - 3677 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -52*m**4*u**2 - 62416*m**3 + 533*m**2*u**2 - 2*m**2*u + 7*m*u**2 + 92*m*u wrt m.\nAnswer: -1248*m*u**2 - 374496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 - 1 - 4 + 2)*(-107*l - 223*l - 255*l) in the form i + r*l and give r.\nAnswer: 6435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6751, 13744, 20739, 27736?\nAnswer: 34735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 146 + -115. Solve -4*w = 15 - b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, m: 18}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 6*v = 3*f - 42, v = 3*f - 36. Suppose -2*n + 2*c = 5 + 5, n - 5*c - f = 0. Let t = -9 - n. Which is bigger: -2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.2 + 0.44. Let x = -1 - t. Let c = 0.06 - x. Put c, 0, -5 in descending order.\nAnswer: c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 2149742.\nAnswer: -8598968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -163 = -7*x - 170. Let r be ((-173)\/6574)\/(x*(-1)\/(-6)). What is the second smallest value in 5, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*i - 3176 = -936. Which is the second biggest value?  (a) -1  (b) -0.3  (c) -4  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(4) + sqrt(44)\/(4*sqrt(11))))\/(2*sqrt(98)*5).\nAnswer: -3*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2\/3*t**4 - 2\/3*t**5 + 2\/3*t**3 + 0 + 0*t + 2\/3*t**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1380527954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**2\/2 - 1927*p - 3713329\/2.\nAnswer: -(p + 1927)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-1 - 4\/(-6)). Let k be 1\/((b\/(-2))\/(-27)). Let c = k - 9. Solve 5*r - 5*d = -10 - 5, c = -3*r + 5*d - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -28433 + 28413. Which is smaller: -89 or c?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.221 - 0.196. Let l = 0.075 + r. Which is the nearest to l?  (a) 0.4  (b) 0.03  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -302074 (base 8) in base 9?\nAnswer: -161301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11416659 is divided by 545?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-2) + 1 + (25 + 70 - 26). Solve 3*t + 90 = g for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence csck when four letters picked without replacement from sckcrkk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 51*w + 96019 = 0. What is the highest common factor of 58 and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 5:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 166 + -2162\/13. Let a = -4383 - -4382. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -2*l**2 - 2*l + 2. Let k(n) = -3*n**2 - 3*n + 4. Determine 3*k(q) - 4*s(q).\nAnswer: -q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -100*l**3 + 540 + 3*l**4 + 12*l**5 - 4*l**3 - 5*l**5 - 180*l**2 - 5*l**5 + 486*l + 21*l**4 = 0.\nAnswer: -15, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -2788, -3, 172 in descending order.\nAnswer: 172, 3, 2, -3, -2788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -681*u - 671. What is c(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nnbbbbbbqnnbnbnqnb. Give prob of sequence nbbb.\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*x + 256, d - x - 30 - 83 = 0. Suppose -d*n = -120*n + 8. Solve -2\/3*g**2 + 4\/3*g + 2\/3*g**n - 4\/3*g**3 + 0 = 0 for g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.07, 4, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2)\/k*k*k**(-9) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 86  (c) 196  (d) -2  (e) 0.2  (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/221 and 33\/169.\nAnswer: 2873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 72*q**2 + 6*q + 4. Let a be h(-6). Let r = -1645 + a. Suppose 2*l = -3*l + r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(4860)*2)\/((sqrt(72) - (sqrt(72) + (2*sqrt(72) - sqrt(72)) + sqrt(72)))\/sqrt(6)*-4) + 1 + -3.\nAnswer: -2 + 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 49*y. Let a(l) = l**3 + 5*l**2 - 6*l - 38. Let f be a(-4). Let h(n) = -2*n**f + 294*n - 294*n. Give x(h(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-195)\/(-210) - (0 + 2\/21)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f - 2*f**2 - 5*f + f + 0*f**2. Let c be ((-4)\/20)\/(2\/20). Give r(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 64?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (110\/495)\/(((-14)\/(-315))\/((-2)\/(-10)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(((sqrt(171) - sqrt(171)*2)*4 - sqrt(171)) + (-5*sqrt(171)*1 - sqrt(171))))\/(((2*sqrt(135))\/sqrt(3))\/(sqrt(320) + sqrt(320)*-2)))**2.\nAnswer: 331056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 14. Solve 0 = 4*q - 5*x + 27, x + z = -5*q - x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 6*m**2 - 5*m - 1. Let j be a(-5). Let n = 9 + j. Suppose -h + n = -4*l + l, 4*l = h - 61. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2917 divided by 1\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*v**3 + 2*v**2 - 12 - v**4 - 5*v + 7*v + 14 to p*v**3 + l*v**4 + g*v**2 + u + r*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 49*f + 48*f = 833, 0 = 3*f + 3. What is the greatest common divisor of o and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 2*b - 33 = 2*p, 18*b + 70 - 280 = 5*p for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 0 - ((-117)\/9 + -5). Solve 4*o - q = 19*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 169*h + 72*h - 83*h. Let z(k) = 11*k**2. What is z(s(y))?\nAnswer: 274604*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -7*h**3 - h**2 - 3*h - 2. Let q be l(-2). Suppose 20*m = 16*m + q. Let b be 27\/(-63) + 188\/m. Calculate the greatest common factor of 117 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 34 and 585786?\nAnswer: 585786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**3 - 84*q**2 + q + 41. Let o be s(-42). Let w be ((4\/8)\/((-3)\/6))\/o. Solve 6 - w = -y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49491803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wdwh when four letters picked without replacement from dwwdhhdwwdhw.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -3*l**3 - l**2 + 2*l + 2. Let q be n(-1). Let p(c) = -3 - 6*c - 2 - 3 + 12 - c**q. Calculate p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ariirprkiik. What is prob of picking 1 k, 1 p, and 1 i?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 13*t - 8. What is p(-12)?\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401945?\nAnswer: 5, 19, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*z + 880 = -12*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2449*a**2 + 2449*a**2 + 105*a**5 + 4*a**5 - 2*a**5 + 0*a**5 + (4*a**4 - a**4 - 4*a**4)*(-5*a + 0*a + 3*a) - 2*a**5 - a**2 + a**2.\nAnswer: 107*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -212*h**3 - 152*h**2 - 50152*h - 2 wrt h?\nAnswer: -1272*h - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = f + 2418325, 4836630 = -12*j + 18*j + 3*f. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, q: 5, v: 1, o: 3}. What is prob of sequence qqvq?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 412?\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3382300 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (16*u - 18*u + 2*u**2 - 193 - 144)*(0 + 2 + 0) in the form y*u**2 + a*u + n and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 3*z + 1585*o - 1592*o, 0 = -3*z - 3*o - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -m*n**4 - m*n + 15*m - 12*n**4 + 31*n + 272 with respect to n.\nAnswer: -4*m*n**3 - m - 48*n**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396) + -2*sqrt(396))*-4 - sqrt(396))\/(sqrt(45)\/(sqrt(5) + 2*sqrt(5))).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28626407 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17.1 + -17. What is the nearest to 0 in 0.5, -2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 + 12. Suppose 20 = 24*a - 52. Suppose -4*r - u = -34, -a*r + u + 0*u = -29. What is the highest common factor of k and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, v: 3, x: 1, l: 3, b: 3, m: 7}. What is prob of sequence mb?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2 + 5*w - 3. Let z be s(-4). Solve -g - 20 + 5 = 5*a, -3*a + z = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1012 divided by -7.\nAnswer: 1012\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.74505 rounded to 1 dp?\nAnswer: 62.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0, 3, 3\/10, -5 in decreasing order.\nAnswer: 7, 3, 3\/10, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3086 + 7484. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 519*q + 1261*q - 228*q + 79*q.\nAnswer: 1631*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-480)\/78 + 6 - 1952\/(-13). Which is smaller: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(2736) + 1)*-2)**2.\nAnswer: 3456*sqrt(19) + 394128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 154 - 152 = 6*s, -4*s + 139 = z. Calculate the remainder when 464 is divided by z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16604 - 16600. Let r(n) be the first derivative of -8\/21*n**3 - w - 3\/7*n**2 - 1\/14*n**4 + 0*n. Find t, given that r(t) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4611911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g - 19*g + 33584. List the prime factors of g.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1001825967?\nAnswer: 3, 29, 197, 58453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 15, -2*z - 71 = 5*m - 0*m. Let a be 25 - (-2 + m)\/5. Calculate the remainder when (-9)\/(-63) - 8*(-262)\/a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**4 + 153*x**3 - 1707*x**2 - 6237*x - 4374 = 0.\nAnswer: -2, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/8 + 31\/(-18). Let u = g - 4\/9. Which is smaller: u or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j + 55 = 5*w, -5*j - 6453*w + 6448*w + 55 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(539) + -2 - sqrt(539))*5 - sqrt(539))**2 - (sqrt(539) + 2 + sqrt(539) + 5)).\nAnswer: 126*sqrt(11) + 631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 43401 + 30325?\nAnswer: 114130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, o: 4}. What is prob of picking 3 o?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2258100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9859 + 21818 - 13293 - 2280 + 25685)*(2 - f - 2).\nAnswer: -41789*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ugg when three letters picked without replacement from gxxugca.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -20*o**3 + 75 + 25*o + 20*o**4 - 5*o**5 - 13*o**2 + 3*o**2 - 85 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 6*b - 1. Calculate q(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1030 + -932.1. Let a = 98 - h. Suppose 2*u + 13 = -3*f, 2*f - 3*f + 4 = -u. What is the closest to a in -4\/3, -3, u?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) be the second derivative of -v**4\/12 + 5*v**3 + 105*v**2\/2 + 10*v + 2. Let c be m(33). Solve -5*t + c = -2*y - 4, -3*y + 10 = 5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d*d*d\/((d\/((d\/((d*d**(1\/9)\/d)\/d)*d)\/d*d))\/d)))**(-1\/12)\/(d**(-6\/13)\/d**(-28)) assuming d is positive.\nAnswer: d**(-9523\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1944000067?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {c: 5, a: 14, h: 1}.\nAnswer: 91\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39911 and 939888?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (49 - 33)\/(-2 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -38*a + a**3 + 75 - 4*a**2 - 152 + 96. What is the hundreds digit of c(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7594*d**4*p**3 - 6*d**2*p**3 + d*p**3 - 3*d*p**2 - 392*d*p + 2*p**2 + 30 wrt d.\nAnswer: 91128*d**2*p**3 - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3769, -7481, -11085, -14527, -17753, -20709?\nAnswer: -23341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*t = 194*t - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -5*l + 4. Let g(b) = 15*b**3 + b. Is 8 a factor of g(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 - 51 + 91 - 40.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 7:26 AM?\nAnswer: 4:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 26847, 105568, 236163, 418632, 652975, 939192, 1277283?\n\"Answer: 25937*g**2 + 910*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 50963242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36631221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -g**6\/120 - 2*g**5\/15 + 5*g**4\/12 + 7*g**3\/2 - 8*g**2. Calculate the remainder when u(-9) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2030 and -19712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*m + 5, 2*v - 4*m = m - 17. Let r be (v + -2)\/(12\/(-8)). Differentiate -7*u**r + 7*u**2 + 3*u**4 - 3 wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, m: 1, q: 1, u: 4, o: 1, y: 1}. Give prob of picking 1 y, 1 o, and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*12791.76\nAnswer: 5116.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/10*80\/88*341\/186?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from hgkahhkghgkhhh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of k*m**2 - 33*k*m - 4016*m**2 wrt k.\nAnswer: m**2 - 33*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (407*s - 33*s - 11*s)*(-3 - 1 + 2)*(0 + 4*s - 2*s + 4) to the form g*s**2 + w*s + x and give w.\nAnswer: -2904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9099995 = -a + 5*p, 2*a + 5*p = 3*p + 18200002. Round a to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*n = -884 - 223. Suppose l + 2 = 35. Calculate the smallest common multiple of n and l.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-280 + 8)\/(-8)*(4 + -1 - 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255289580 to the power of 1\/2, to the nearest integer?\nAnswer: 15978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 71\/(-4) - (-2)\/(-8). Let a = -7 - x. Calculate the highest common factor of 11 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {p: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 1  (c) 0.5  (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3*1\/((-28)\/(-48))*84\/(-27)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 4*s**3 + 1883*s**2 - 302*s + 79605. Calculate b(-471).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(9) + sqrt(9))*-2 + (-1*sqrt(1296) - sqrt(1296)))\/(-4*(sqrt(147) + sqrt(147) + sqrt(147)*1 + sqrt(147))).\nAnswer: 11*sqrt(3)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 (base 6) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2414736 (base 8) to base 4.\nAnswer: -2201213132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 514 + -5431?\nAnswer: -4a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 37209257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98213\/38004 + 3\/3167. Find the common denominator of s and 75\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/4284 and 117\/406.\nAnswer: 124236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2812 is divided by 926?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -31*l**2 + 595*l + 3800. Let u(k) = -3*k**2. Let s(g) = b(g) - 10*u(g). Differentiate s(t) with respect to t.\nAnswer: -2*t + 595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -567828 - -567831. Let -210*p + 96\/5*p**4 - 696\/5*p**d + 324*p**2 - 75 = 0. Calculate p.\nAnswer: -1\/4, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -37.972 - -38. Let a = 0.478 - n. Let o = 0.55 - a. What is the smallest value in -4, 4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6980678372 + 6980678499.99999796. Let i = 131 + -3. Let w = l - i. What is w rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -3*x - 20. Let c(p) = 5 - x + 0 + 2 - p. Let a be c(2). Solve 0*s - 2*s = a for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 3896104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/3*(-8 + 2). What is the third derivative of -y*f**2 + 5*f**2 - f**4 + 0*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*t - 28*t + 322 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 5*f**2 - 9*f - 15. Let u be j(7). Calculate the greatest common factor of u and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -171, -522, -1111, -1944, -3027, -4366, -5967?\n\"Answer: -w**3 - 113*w**2 - 5*w - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 3*r + 8. Let h(f) = 2*f - 4 + 4*f - 8*f. Calculate h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 340943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/7, 0, -1239, 3476, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 + -8)\/9 + 349\/3. Let g be (-1)\/4 + (-2)\/((-32)\/d). Suppose 24 = -3*n + a, 2*n - g*n - 5*a - 40 = 0. Sort n, 5, -5 in ascending order.\nAnswer: n, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = l - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 8:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29432\/63 + -3376\/7. Is -16 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -44*y**2 - 82*y + 45*y + 45*y.\nAnswer: -4*y*(11*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1410 and 51988110?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.2248 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*d*k - 36154074*d + 199301*k wrt k.\nAnswer: 11*d + 199301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0925 * 0.5.\nAnswer: -0.04625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2203\/5 - -441. Let n = 3.1 - 3. What is the smallest value in n, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**4\/6 + 39*l. Let k(h) = -h + 1. Let r(n) = -7*n + 8. Let m(d) = 40*k(d) - 5*r(d). Calculate j(m(c)).\nAnswer: -50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21888370 a multiple of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20944?\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6\/127 - -320\/1397. Let v = -2145 + 2149. Suppose -4\/11*a + 4\/11*a**3 - p + 0*a**2 + 2\/11*a**v = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 + 6. Let u be q(-8). What is the remainder when 40 is divided by (-1)\/2 + u\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -20, -15, 6, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22 + 11110120?\nAnswer: 11110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2044, -4106, -6168?\nAnswer: -8230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -4*x**3 - 6*x**2 + 3*x - 2. Let c(v) = -v**3 - v**2 + 1. Let l = -6 - -7. Let o(f) = l*r(f) - 3*c(f). Suppose 0 = -2*h + 4*h + 8. Determine o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = 4*d - 12*g + 188, -5*d = -3*g + 231. Is (-137799)\/d + (-12)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -6 + (3 - 6 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(133) + sqrt(133)*5))\/(-3*sqrt(567)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1503809 greater than 1503811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of -w**6\/120 + w**5\/10 + w**4\/3 - 2*w**3\/3 + 11*w**2. Let f be (1 - -1) + 0 + 5. Determine q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5371597 is divided by 117.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -61 + 65. Suppose -40 = -9*y - 4. Solve 0 = y*h - 2*h, 4 = -s*o + 4*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q**5\/6 - 145*q**4\/6 - 4999*q**3\/6 - 49855*q**2\/6 + 2500*q\/3 + 25000\/3 = 0. Calculate q.\nAnswer: -100, -25, -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 394\/9 - 44. Let j = 0.1 + -1.1. Let o = -0.5 + 0.2. Which is the closest to 0.1?  (a) w  (b) j  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes before 7:41 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 71\/660508 and -73\/732?\nAnswer: 1981524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**4 - 277*s**3 + 3957*s**2 - 7087*s + 3406 = 0 for s.\nAnswer: 1, 13, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 greater than 640\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 7 + 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 3*s - 194, 4*s + 168 = 4*i - 0*s. Suppose -334 = -2*g + 3*t, -174 = -41*g + i*g + 5*t. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*v**3 + 5*v**3 + 0*v**3)*(3 - 16 - 23) - 4*v**3 + 4*v**3 + 9*v**3 to l*v**2 + m + u*v + k*v**3 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -19 + (-14 + -3 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 5, z: 2, n: 1, i: 2, e: 4}. Give prob of picking 1 l, 1 n, and 1 e.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6926?\nAnswer: 2, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 PM and 5:24 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, b: 1, o: 3, k: 4}. What is prob of sequence jbbj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-12) - (6 - (-82225)\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 43949\/495 + -803\/9. Find the common denominator of -91\/10 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 3*d + 50. Let f be m(-15). Solve -5 = -n, -f*l - 9 = -l - 5*n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -30 - -43. Let x = q - 17. What is the third smallest value in x, 0.2, -1\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of k**3\/3 - 5*k**2\/2 + 3*k - 3. Let z be c(3). What is the units digit of (-13)\/z - (-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 537 divide 1600260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-2)*20\/(-6). Suppose -2*v - 12 = -f*b, -2*b - 6*v - 1 = -v. Let u be 10 - (0 - (b - 2)). What is the highest common divisor of 4 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 - 1100100011111110011?\nAnswer: -1100100100000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-72)\/(-18)*-2*1\/68.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2*f**2 - 7*f - 5. Let z be c(5). Let s be (-2 - (-12)\/5) + (-24)\/z. Let p = -22 + s. Which is greater: p or -25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 30 in 1, 1\/4, 2\/19, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 30 - 29.74. Let s = b - 0.259934. What is s rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 3:44 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -97038798, -97038797, -97038796, -97038795, -97038794, -97038793?\n\"Answer: p - 97038799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1394330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23889578 is divided by 772.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - -4.4. Let f = d - 4.5. Let t = -1817\/11 + 165. What is the biggest value in -3, t, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from embmsessembeees. Give prob of picking 1 m and 1 b.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 - 1 - (-24 - (-4 - 38) - 18).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 5*r - 16, -4*s - r + 0 = -12. Let v(d) = 4*d**2 + d**2 - d**2 - 3*d**s. Let q(k) = 17*k**2. Calculate v(q(h)).\nAnswer: 289*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 938770929 to the power of 1\/3, to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/15  (b) -0.293  (c) -5  (d) 0.5  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (20 + -51 - (-8 + -3 - -3))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + -52. Let h(y) = y**2 + 2*y + 6. What is the remainder when (2 - 1272\/(-20)) + 2\/k is divided by h(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -17834, -17836, -17834, -17828?\n\"Answer: 2*m**2 - 8*m - 17828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.249 - -0.239. Which is the nearest to -0.1?  (a) 4\/9  (b) 0.2  (c) s  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a microsecond in nanoseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 27\/5318 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(187) - sqrt(187))\/(-2*sqrt(11)*3 - sqrt(11)).\nAnswer: 11*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1202\/((-5)\/105*-6). Suppose 4*i - 2892 = -4*g, 5*i - 5*g = -592 + r. List the prime factors of i.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4*-3 - 1. Let j = -232\/217 + 42\/31. Let n = 7 + -47\/7. Which is the closest to j?  (a) m  (b) 1  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1464 - 6*r - 730 - r - 734 - r + 0*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20.2 - 20.519. Let k = a - -0.3189885. Round k to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*v = -2*s + 112, -16 = 4*v. Suppose 239*x + 1 = 240*x. Let p be s\/77*x*7. What is the greatest common divisor of 18 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-2 + -6*1*sqrt(19) - sqrt(209)\/(-4*sqrt(22)\/sqrt(2)))**2.\nAnswer: 69*sqrt(19) + 30345\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 1. Let d(u) = 5*u**2 - 5*u - 16. Suppose -76*j + 81*j + 5 = 0. Let o(y) = j*d(y) - 6*i(y). Factor o(h).\nAnswer: -5*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*f - f + 42*f**2 + f**3 + 31*f - 12*f**2 + f.\nAnswer: f**3 + 30*f**2 + 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-543)\/(-18) - (-4)\/(-6) and -41\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - 3*j + 0*j)*(-2*j**2 + j**2 + 2*j**2) + (-43 + 4*j + j**2 + 43)*(6*j + 34 - 34).\nAnswer: 3*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -644*q**5 + 576404*q**4 + 36915784*q**3 + 589081296*q**2 + 532092960*q - 20649600 = 0. Calculate q.\nAnswer: -30, -1, 6\/161, 956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 530274021 + -4?\nAnswer: 530274015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {a: 2, n: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -13493 - -1a3a?\nAnswer: -11857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 - 2*d**2 - 8*d - 25. Calculate l(-4).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 159b70 (base 13) to base 5\nAnswer: 114121241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + 1a46?\nAnswer: 1a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1835*77588.\nAnswer: 142373980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of a**5\/5 - 8*a**3\/3 - 295*a**2 - a - 75. Differentiate g(q) wrt q.\nAnswer: 12*q**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g - 2. Let k be w(3). Let b be 0 + k + 27\/(-33). Factor 0 + 2\/11*u + b*u**2.\nAnswer: 2*u*(u + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 15\/(((-30)\/4)\/5). Let j be 34\/10 - (-4)\/b. What are the prime factors of -22*(-1 + j + -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.012237222 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 13*b - 36. Suppose -b*l + 13434 + 74 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -4*o**3 + 6*o**2 + 5*o + 6. Let g be t(-4). Let v = g - 272. What is the least common multiple of v and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of 9*l**2 - 2*l + 55. Let t(c) = 5*c. What is t(r(p))?\nAnswer: 90*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 86561, 102855, 119163, 135491, 151845, 168231, 184655, 201123?\n\"Answer: c**3 + c**2 + 16284*c + 70275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*w - 4060 + 4072 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -72*u**2 - 6311*u + 6307. What is q(1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 9752 = 3*m. List the prime factors of m.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -313.46473 + -60341.\nAnswer: -60654.46473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 479300 and 500?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15583088 is divided by 708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -282*b**2 + 188*b - 188. Let a(u) = -u**2 + u - 1. Determine 188*a(s) - j(s).\nAnswer: 94*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bgaauaubaauuaaaaaau. Give prob of sequence ubbg.\nAnswer: 5\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((((sqrt(65) + sqrt(65)*1)*-5)\/sqrt(5) - sqrt(104)\/(sqrt(24)\/sqrt(3)*2))**2 + -3).\nAnswer: -17163\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -9*d**2 - 8*d. Let i(g) = 22*g**2 + 20*g. Suppose -23 = 4*o + 25. Determine o*n(x) - 5*i(x).\nAnswer: -2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 138895 and 44835306?\nAnswer: 224176530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -11*r + 2. Let d(q) = q**3 + 15*q**2 + 14*q + 6. Let h be d(-14). Let w(x) be the first derivative of 5*x**2\/2 - x - 20. Give h*u(i) + 13*w(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 577 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, p: 5, g: 2}. Give prob of picking 1 u and 2 p.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3914 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25510352 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -ee93a (base 15) in base 6?\nAnswer: -24125344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*i + 117 = -39*i. Let y = i - 19. What is the second derivative of -2*a**2 + y*a**2 - 2*a - 5*a**2 wrt a?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8119191*i**3 - 3*i**2 + 64745937 wrt i.\nAnswer: -24357573*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*z + 24 - 4. Suppose 0 = -v - z*l - 0 + 13, -3*l + 6 = -3*v. Solve -v*i + 8*n - 3*n + 6 = 0, -10 = -5*i + 4*n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of t**4\/4 - 5*t**3\/3 + t**2\/2 - 2*t - 1. Let d be (8\/2 - 2) + 3. Give g(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 756679 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*w - w + 4*w)*(-35 - 175 - 42)*(3*w - w - 3*w).\nAnswer: -504*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 5*j - 159. Suppose m + m - 48 = -2*z, 4*m + j = z. Calculate the highest common divisor of 10 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 170 - 55. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**6\/4 + v**4\/12 - 30*v**2. Let o be g(1). Solve l = 4*l - 12, 5*l = -4*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 14) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -170*m - 202*m + 7*m + 79*m. Let h(b) = 3*b**2 + 4*b + 2. Let o(y) = 10*y**2 + 12*y + 6. Let l(s) = -6*h(s) + 2*o(s). What is n(l(w))?\nAnswer: -572*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 102, 224, 392, 606, 866?\nAnswer: 1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 (base 8) in base 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2398\/39 + 184\/3. Suppose 5*t - 106 = 4. Let m be t\/(-15) + 4\/6. What is the closest to 1 in j, m, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42\/(-231)*22\/(-20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 - 54*c + 83. Calculate f(24).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a**5\/5 + 24*a**4\/5 - 18*a**3\/5 - 44*a**2\/5 = 0.\nAnswer: -1, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8 + 2 - 3 - h**2 + 5 wrt h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9038 times 15?\nAnswer: -135570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-255))\/(122\/610).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -25*w**4\/4 - 270*w**3 - 3360*w**2 - 2560*w - 1504. Factor r(l).\nAnswer: -5*(l + 16)**2*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of z**9\/141120 + z**8\/15680 + z**5\/30 + 3*z**2. Let p(a) be the third derivative of v(a). Determine x, given that p(x) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 5*b = 63, -t - 244 = b - 232 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1149 - -1149. Let b(q) be the first derivative of 1 + j*q + 0*q**4 + 7\/5*q**5 + 0*q**3 + 23\/2*q**2. What is the second derivative of b(y) wrt y?\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2694336\/317 and 8498 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tqqttqkkktqtq?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*g + 0 - 3\/4*g**3 + 9\/4*g**2.\nAnswer: -3*g*(g - 2)*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 0)*(0 + 0 + 6)*(0*l - l + 2*l)*(1 + 0 + 1).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of -i**4\/2 - 69*i. Let o(x) be the first derivative of 11*x**2\/2 + 38. Calculate r(o(f)).\nAnswer: -726*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (14 - (0 - -6)) - 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, -2, -325, -356 in decreasing order.\nAnswer: 1, 0, -2, -325, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2837706 and 11.\nAnswer: -31214766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u + 19*u - 10 = 0. Let b = 25 + u. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3\/7, -336\/23, 49, 5?\nAnswer: -336\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20352200421 - -5?\nAnswer: -20352200412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*w - 1385 - 2645. Let o be (-1)\/(2\/2) - 87. Let u = o + w. Calculate the remainder when u is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -f + 8. Let i be 0*(-4)\/(-16) - 0. Sort -7, f, i in ascending order.\nAnswer: -7, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1347053373170 and 0.04.\nAnswer: -1347053373169.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-603)\/(-201) + 3\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dif when three letters picked without replacement from jqqdjfqiji.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 641484.1 millilitres?\nAnswer: 641.4841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-468)\/(-96))\/13 + (-4794)\/(-16). What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -45 in -0.5, -234, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**3 + 4*y**2 + 1. Let l be f(4). Let v = 370 + -361. Let i be (-1)\/((-606)\/(-12) - v). Is i less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.407 + 4.407. Let s = 2 + -1.7. Which is the closest to 2\/3?  (a) 2\/15  (b) s  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111010101110 + -10?\nAnswer: 111010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -i + 21. Let g be (i - 23)\/(-1*1). Let c = -7 + g. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1546638 to the power of 1\/2, to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -63664 (base 7) in base 14?\nAnswer: -5a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 5)\/(-15)*0. Suppose 0 = -5*p - 3*g + 38 + 31, m = 5*p - 4*g - 48. Let q = 33 + -15. Calculate the greatest common factor of q and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5, 340, 937, 1786, 2887?\nAnswer: 4240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46151 is divided by 6489?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*z - 15 + 9 + 6.\nAnswer: -67*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 53949.\nAnswer: 3, 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -p + 21, 4*t - p = -29 + 40 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -c + 5. Suppose -r = -3, -130*r - 53 = -4*b - 129*r. Solve 0 = -w - 3*f + c, 5*w + f + b - 1 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (-4 - ((4 - 10) + 1))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 32\/(-6) + (-10)\/15. Let i(q) = q**2 + 5*q + 4. Let n be i(v). Suppose -3*w + n = -5*a, 5*w - 3*a - 6 = -0*a. Sort -5, 4, w in increasing order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -5*x - 5. Let g be h(5). Let n = g - -50. What is the least common multiple of 10 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -167 - 3*f + 167.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 203634?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 10:14 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1.5  (b) -2  (c) -5  (d) 28  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2516+1\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 - 2*r + (-2 + 1 - 1)*(-3*r - r + 3*r) - 3*r + r + 3*r - 4709 + 4709 + 40*r.\nAnswer: 41*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -4*j**4\/5 + 20*j**3 + 444*j**2\/5 + 572*j\/5 + 232\/5 = 0.\nAnswer: -2, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(15)\/(3*sqrt(3)))**2.\nAnswer: 4*sqrt(5)\/3 + 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**4 + i**4 + 5*i**4 + (-2*i + 4*i + 0*i)*(50 - 50 + 10*i**3) + 0*i**4 + 4*i**4 - 2*i**4)*(i + 6*i - i) - 2*i**2 - i**5 + 2*i**2.\nAnswer: 149*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 9634254.\nAnswer: 28902762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*h = 13*h + 32. Suppose -h = -x - 0*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1703, -1706, -1711, -1718, -1727, -1738, -1751?\n\"Answer: -k**2 - 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 6\/(-2 + 3). Suppose -2*m + 1 + 3 = 2*p, 4*m - 4*p - a = 0. Solve 0 = -m*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1168b38 (base 12) to base 2\nAnswer: -1100110111111001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 880201156?\nAnswer: 2, 29, 7587941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*d = -71 + 38 + 39 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 4*j**2 - 5*j**2 + 10*j**2 + j)*(-2*j**2 + 2*j**2 + j**2) in the form f + d*j**4 + u*j**3 + b*j**2 + k*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9110924 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 738 + -522. Let m = -6\/2357 - -59057\/51854. Calculate the common denominator of 2\/(-9) + 1644\/y and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - -37)\/(3 - (147\/30 + -2))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - -37317103?\nAnswer: 37317098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 12*k - 3. Calculate o(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**4 + 1722*p**3 - 459883*p**2 - 4264068*p - 3802464 = 0 for p.\nAnswer: -1956, -8, -1, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - -730*(-95)\/5700?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -91 - -96. Suppose 130 = r*x - 145. Calculate the greatest common factor of 5 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**3 + 1. Let j(f) = -5*f**3 + 4. What is -j(q) + 4*m(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from tfeefpfeetfftefepc?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 5:44 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30 + 35. Let w be (-10)\/(-4 + b - -1). Let g(p) = -1. Let s(o) = 9*o + 2. Let f(x) = w*g(x) + s(x). Find the first derivative of f(k) wrt k.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 + 4*o - 16. Let m be h(-6). Let k be (6\/12 + -1)\/((-10)\/m). Let z = -111 + 887\/8. What is the nearest to 1\/4 in k, z, -3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 2*h - 50 = -2*u, 2*h - 5*u = -5. Suppose -15*y + h*y = 50. Put 3, y, -4 in decreasing order.\nAnswer: 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 1) + 0 + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -788.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 266 and 1582.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3858 + -788.83633?\nAnswer: 3069.16367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30*x**4 - 169*x**2 - 21*x**4 + 446*x**2 wrt x.\nAnswer: -1224*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from jvvqcxv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 179.2177787 rounded to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 276 - 6d?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (408947\/1694)\/(161\/(-14)) - -21?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = 3*d**3 + d**2 + 4*d - 4. Let q(r) = -6*r**3 - r**2 - 7*r + 7. Suppose 15*c - 2344 = 23*c. Let s = c - -286. What is s*f(x) - 4*q(x)?\nAnswer: 3*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1815 = 189*m - 310*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**4\/2 - 417*t**3\/2 + 13709*t**2\/2 + 2792757*t\/2 - 7127505 = 0.\nAnswer: -66, 5, 121, 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0951 - -0.4951. What is the smallest value in -4, 17, c, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -18*b + 58. Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 387*c - 9415 = -51985 for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6365 is divided by 87?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8896)\/96 - -94)\/((-1)\/66)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-2 - 5) - (-4 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 146433, 585747, 1317937, 2343003, 3660945, 5271763, 7175457?\nAnswer: 9372027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 11:34 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -3 - x**2 - 3*x + 7 + 8*x + 1. Let a(q) = -q**2 + 4*q + 4. Calculate -5*a(r) + 4*k(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 182 and 227955.\nAnswer: 455910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1344\/225 - ((-56 - -8) + 54))*10.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 1:52 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2 - (0 + -1)) + -2)\/(-1). Suppose -2*m = -v - 11, 2*m - j*m + 5*v = -19. Solve -m*g + 3*c = -25, 0*g + g + 4*c + 8 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.1039 + -0.6211. Round h to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(78) + sqrt(78) + (sqrt(78)*1 - sqrt(78))*-1)*6)\/((sqrt(240)*1)\/sqrt(10)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -271383 and -435.91.\nAnswer: -271818.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 534\/17 + -4503\/119. What is the common denominator of 52\/23 and k?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/8))**(-2\/45)*(b*b**(-1\/9))**(-50) assuming b is positive.\nAnswer: b**(-7999\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(300) + -1)*-6 + ((sqrt(54)\/sqrt(2))\/sqrt(9) - (sqrt(3) + sqrt(3)*1*4)))**2 + -1.\nAnswer: -768*sqrt(3) + 12323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.262+-29033850532\nAnswer: -29033850531.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -762.794 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -1589*q + 166. Calculate i(-1).\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fipedke. Give prob of picking 1 f and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**2\/6 + 25046*r\/3 + 785511\/2 = 0 for r.\nAnswer: -47, 50139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -1142\/30183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p + 61. Let u be g(20). Which is greater: u or -2\/157?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 3*c + 1. Let y be (2\/(-4))\/((-7)\/(-42)). Sort c, y, -5 in increasing order.\nAnswer: -5, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -5. Let q(y) = y**3 + 3*y**2 + 3. Let f(b) = b**3 + 4*b**2 + 4. Let x(o) = a*q(o) + 3*f(o). Let x(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -16 + 1. Suppose 0 = -2*z + m*z - 4. Find the first derivative of -2*n**z + n**4 + 2*n**4 - 1 wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 2*s - 3. Let z be n(3). Suppose 110*q = 242*q - 119*q - 52. Solve 0*d - 2*d = 4, -z = q*f + 4*d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of 13*o**3\/3 + 6*o**2 - 6*o + 38. Let x(m) = m**2 - 1. Let s(g) = -d(g) + 6*x(g). Find the second derivative of s(w) wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**3 - 6513 - 595*p**4 + 3059 + 5*p**3 + 0*p**3 with respect to p.\nAnswer: -2380*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4888907587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/6)\/a)\/(a**7\/a) assuming a is positive.\nAnswer: a**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*k - 21*k = -558. What is the remainder when k is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 1. Let v = -119\/6 - -20. What is the nearest to w in -2\/17, -1\/8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 272.3 to the nearest integer.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*q - 5*q - 560 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2728501723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 2) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o\/(o*o**(-3\/7)\/o*o))*o)**(-41) assuming o is positive.\nAnswer: o**(-451\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60528 by -2522.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 118622 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t + 23*t - 66*t - 234 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (9 + ((-3)\/(-6) - 57\/(-76)))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**0\/(m*(m*m**8*m)\/m*m*m*m)*m**3\/m**(-6) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 8 = -0*h + h, -3*h = -5*o - 13. Let t = -1 + h. List the prime factors of ((-8)\/t)\/((-2)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/25 in 6, 4, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of -v**4\/2 + 1670*v. Let t(a) = -3*a - 2*a + 2*a. Calculate r(t(l)).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + 14. Let j = i - -1. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570 minutes after 4:41 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1010 (base 2) to base 6\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*q + 630 = 24*q. Sort -0.01, 0.1, q in increasing order.\nAnswer: -0.01, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 117*p + 13334. Determine c(-114).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.1 - 0.1. Let n be -45*4*(-2)\/100. Let v = n - 149\/40. What is the nearest to -1 in -2, v, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*c**2 - 103*c**2 + 41*c**2.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 4\/(3 + 7120\/(-2376))?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1221 (base 4) to base 5.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 46841 - 659334 = -7*p, 0 = -3*p + 2*f + 262497. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/28*-9)\/((-123)\/82).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2460 + -1346. What are the prime factors of j?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -10*t + 15*t**2 - 10 + 3 + t**3 + 22*t. Let l be k(-14). What is the greatest common factor of l and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 940187976 divided by -6?\nAnswer: -156697996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 3*a - 0 - 11, 5*a - 13 = 3*b. Let o be -26*b\/(-7) + 144\/(-504). Put -1, o, 1, -26 in decreasing order.\nAnswer: 1, -1, o, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 6:06 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 222572 - 5*w**2 - 222572. Let h(n) be the third derivative of -2*n**2 + 0 + 0*n + 0*n**3 - 1\/8*n**4. Give o(h(f)).\nAnswer: -45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 18*f - 3788 = -16*f, -3*f + 15152 = 4*l. What is the remainder when l is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.147 + -0.047. Let y = 6.6 + -7. What is the third biggest value in y, 0.3, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/87 - (8442\/1218 - 31).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7157456?\nAnswer: 2, 439, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 459835 divided by -459835\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 34866 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -11  (b) 2\/7  (c) 5\/3  (d) 0.07  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5107 + -8595. Calculate the common denominator of (-8)\/(-4) - (-7464)\/u and 87\/20.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27715 + 5045. Suppose -46*n + 4*n + s = 0. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/12 + (-1)\/2. What is the smallest value in 0.04, -1, h, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o + 2*o - 5*o)*(3*o**2 + 6 - 6).\nAnswer: -18*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + g + 3 = 0, 4*t + 7*g + 5 = 8*g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6692 - -21?\nAnswer: 66b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*k - 25*k + 44*k + 29)*(3*k - 5*k + k).\nAnswer: -3*k**2 - 29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**9)\/(((t\/(t**(-16\/5)\/t))\/t*t)\/t)*t*t**(-1\/7)*t**15*t assuming t is positive.\nAnswer: t**(793\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 11:48 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -2*v - 3*o + 2*o, 22 = -4*v + o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/39)\/((-21)\/9). Let m = 95\/182 - d. Which is the third smallest value?  (a) m  (b) 0.1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -2*c**2 + 5*c + c**2 + 5 - 3 + 0*c**2. Let r be v(4). Calculate the highest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-14) - (-8616)\/28. Let q = -5850\/19 + u. Factor -8\/19*v + q*v**2 + 6\/19.\nAnswer: 2*(v - 3)*(v - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 5*g**2 - 3*g - 7. List the prime factors of i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 5*i**2 + 28*i - 18. Let c be p(10). Sort 0.3, 4\/7, 0.2, c in ascending order.\nAnswer: c, 0.2, 0.3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 6*i = -10*q + 2*i + 415, -5*i = 6*q - 219 + 10 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 496 and 8?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19175 is divided by 111.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -105\/22 and -39\/2804?\nAnswer: 30844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 6\/12*(-1 - -35).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 251.7 + -251.700008324. What is h rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 17 + 55 = -s, 0 = 4*s + 16. Let o = -11 - k. What is the smallest common multiple of o and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-3)*p)**(-14)\/(p*p**16*p**(-14)\/p) assuming p is positive.\nAnswer: p**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 420 + -399. Calculate the greatest common divisor of f and 2163.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 4:31 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 12*c - 10. Let h be t(10). Let g = -70 + h. Calculate the remainder when g is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -14*d**3 + 84*d**2 + 84*d - 84. Let o(z) = z**2 + z - 1. Calculate h(y) - 84*o(y).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 + 9 - (0 - (16643 + -5)) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 237.62 - 229. What is g rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -111, -143, -187, -243, -311, -391, -483?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/3)\/(6\/3). Let a = 819 - 818.9. What is the nearest to a in 1, u, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 102 + 60 = 0. Let p(x) = 5*x**3 - x**2. Let j be p(1). Solve 18 - z = j*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2 + -1.9. Let w = -26 + 29. Let i be 275\/(-150) - w\/(-2). Put g, i, 1\/2 in increasing order.\nAnswer: i, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**6\/d*d*d\/((d\/(d**(3\/11)\/d*d))\/d*d)*d)\/((d\/(d*d**(2\/9)))\/(d\/(d*d**(-8)))))\/((d**(1\/3))**(-1\/13))**(-6) assuming d is positive.\nAnswer: d**(19744\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-46) - 4154\/23115\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 5*o**2 + 3*o + 2. Let a be q(-1). Let r(m) = -m - 7*m + 3*m + a*m. Let l(f) = 12*f. Give l(r(d)).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5685 by 1895.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -20776306 divided by -14?\nAnswer: 10388153\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**3 + 2*o**4 - 2*o**3 + (o - 2*o + 3*o)*(-41 - 18 - 54)*(0*o - o - o)*(-o**2 - 3 + 3).\nAnswer: -450*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 23\/2*4\/2. Let w be 414\/(1\/(2\/4)). What is the greatest common factor of u and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oosztztzztzsszo. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 122059, 122058, 122057, 122056, 122055?\n\"Answer: -j + 122060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 1\/157935129 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -66\/7  (c) -0.2  (d) -167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:17 PM and 2:54 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 48\/5*y + 4\/5*y**2 + 0 = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 68*k + 32 = -63*k, 0 = 2*o - 5*k - 38 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 61068806 to the nearest integer?\nAnswer: 7815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 3. Let t be m(4). Let c(g) = g**2 - 4*g - 6. Let j be c(t). Calculate the highest common factor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 4\/2)\/(20\/(-75)). Solve -4*g + q = -5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57\/18 - (19 + -20)*-4\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/5)\/c)\/c**(-7))\/(((c*c**(6\/5)*c)\/c)\/(c\/(c\/(c\/c**(-1\/3)))*c)) assuming c is positive.\nAnswer: c**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 - -2)\/(15\/(-6)). Put q, -3\/5, 5 in descending order.\nAnswer: 5, q, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rhm. What is prob of picking 1 h and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - (1 + -3) - (-1 + 1). Let j(p) be the third derivative of 13*p**5\/12 - p**4\/12 + p**3\/2 + p**2. Is j(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-60)\/72*2\/10. Let z = -24.63 + 24.43. Suppose -5 - 15 = 5*t. Sort a, z, t, 0.3 in decreasing order.\nAnswer: 0.3, a, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 0.069?\nAnswer: -0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1146 + 21?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of a**5\/100 + a**4\/4 - 17*a**2 + 6*a. Factor s(d).\nAnswer: 3*d*(d + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -109\/80 or 0.033?\nAnswer: -109\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -856991\/4 + 214248. Factor c - 1\/4*c**3 - j*c**2 + 1.\nAnswer: -(c - 2)*(c + 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -21*y**3 + 1023*y**2 + 1344*y + 300 = 0. What is y?\nAnswer: -1, -2\/7, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the second derivative of -19*w**6\/6 + 11*w**4\/2 - 5*w - 7. What is the third derivative of f(b) wrt b?\nAnswer: -2280*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*y - 5*j, y + 9*j - 8*j = -7. Calculate the remainder when 131 - (-7 - -8 - y) is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 526 - -314. Suppose 423 = -2*r + 3*r - 4*w, 2*w + i = 2*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250642 is divided by 75?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 779 + -785. Suppose -i = i. Suppose i*f - 2 = 2*f. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -f + 4*j, -2*f - 2*j - 2*j + 74 = 0. Suppose 2*u + 3*x = -2*u - 32, -3*x - f = 3*u. Which is greater: -7\/2 or u?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40676 (base 9) to base 12.\nAnswer: 13613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**3 - 3*u**3 + 3*u**3 - 4*u + 4*u - 3*u**3 + (-2*u + 0 + 0)*(2*u**2 - 4*u**2 + u**2) - 38*u**3 + 1230 - 1230 as t*u**2 + i*u + f + n*u**3 and give n.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 342*r = 88604 + 49564. Calculate the remainder when r is divided by 389.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-4))\/((-8)\/((-224)\/(-105)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3206, -6143, -9078, -12011, -14942, -17871, -20798?\nAnswer: -23723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -46*r**3 + 4. Let l(o) = -9*o**3 + 1. Determine -2*j(n) + 11*l(n).\nAnswer: -7*n**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 536*m = 532*m + 96. Calculate the lowest common multiple of 192 and m.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m + 6*m + 5*m. Factor 4\/3*r**2 + 0 + m*r - 2\/3*r**3.\nAnswer: -2*r**2*(r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1709, 7267, 16531, 29501, 46177, 66559, 90647?\nAnswer: 118441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 232 - 195. Suppose -5*k - 608 = -f*k. Solve -4*r - k = -3*h + 16, 3*h = 2*r + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 36 by -12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-28)*504\/(-192))\/(8\/(-32))?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(6*sqrt(153))**2*-6 - (-5 + sqrt(612) + (sqrt(612) - (3*sqrt(612) + -2))).\nAnswer: 6*sqrt(17) + 66099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27028 is divided by 8971?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403464 is divided by 13448.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3*f**3 - 70\/3*f**2 + 722 + 494\/3*f = 0. Calculate f.\nAnswer: -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*y**3 + 872796 - 872796.\nAnswer: 21*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -657 divided by 219\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**3 + 13524753*h**2 - 27049503*h + 13524751 = 0. Calculate h.\nAnswer: 1, 13524751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 574 is divided by 118?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 435.9 to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - (-3 - (-6 + 2))) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2*k**4 + 6 + (k - 4*k + 2*k)*(k**3 + 0*k**2 + 0*k**2))*(0*k - 364 + 380 + 12*k) + k**3 - 2*k**5 - k**3.\nAnswer: 10*k**5 + 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 112133203?\nAnswer: -112133211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4\/5 or 7.452?\nAnswer: 7.452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 444444 - -11?\nAnswer: 444455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 744 - 272. Suppose -2*l + s = -66. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, e: 2}. Give prob of picking 1 d and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1634907716 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 324\/(-416) + 2\/13 + 1. What is the smallest value in 5, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2883507 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0234775840474 + 3.\nAnswer: 3.0234775840474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -6*u**2\/17 + 54172*u\/17 + 18058\/17 = 0.\nAnswer: -1\/3, 9029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -190 by 2654.\nAnswer: -95\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 8*m - 11. Calculate i(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283017.\nAnswer: 3, 7, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -11  (b) 0.5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2 + -50?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.094 and -1907.43?\nAnswer: 179.29842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*c + 4*z, 2*c + 3 = 5*z - 1. Let s be 3\/9 - 15\/(-9). Let q(r) = 4*r - 7*r + r - r**2 - s - r**c. What is q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39945 divided by 39945\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + z - 8 = 0. Let f(n) = n**2 - 11*n - 26. Let u be f(13). Suppose u*g = -g. Solve 0 = k + z - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -x**2 + 10*x + 2. Let r be j(10). Solve -3*a = 5*n + 34, -6*n + n + r*a = 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3\/6 - (-54)\/(-84). Let f = -520.9 + 521. What is the second smallest value in q, f, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 24 from -1.2.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32*m + 32*m + 111*m**3)*(3*m - 2*m + m) + (5*m + 11*m - 10*m)*(-m**3 + 0 + 0).\nAnswer: 216*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*5)\/((-1)\/((-6)\/(-15))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -8283.622491 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:56 AM and 4:24 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 41879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -18510189?\nAnswer: -3\/6170063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - u + 36. Does 18 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 8, c: 5}. Give prob of sequence cpp.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 - -0.3. Let y = 239.5 - 234.5. What is the second biggest value in 11, 3\/4, r, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l = h - 4*l - 15, 5*h - 3 = -3*l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8263772 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 208728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -14*q + 2. Give h(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10679, -11166, -11993, -13166, -14691, -16574, -18821?\nAnswer: -21438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 4*j + j + 19, 0 = 5*j + 10. Solve 4*s + 6 = n, -1 = -2*s + 4*n + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 129\/5*d - 54\/5 + 3*d**2 = 0. Calculate d.\nAnswer: -9, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k**2 - k - 5. Suppose -j - 5*t = -3 - 3, -4*j + t - 18 = 0. What are the prime factors of a(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -4  (c) 0  (d) -6.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (119\/102)\/(19\/798)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 1:36 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 + 3*n - 4. Let x be h(3). Let s be (x + 4 + 1)\/((-3)\/(-9)). Solve -2\/3*q - 4\/3 - 16\/3*q**4 + 10\/3*q**5 - 8\/3*q**s + 20\/3*q**2 = 0 for q.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-8)\/(-12))\/((-12)\/(-90)). Suppose 0 - 16\/7*s**4 - 2\/7*s**3 + 0*s + 4\/7*s**2 - 10\/7*s**x = 0. What is s?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1202222110 (base 3) in base 8?\nAnswer: -104241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*z + 10 - 10 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of r**2 - 368 - 770*r**3 - 780*r**3 - 547*r**5 + 1553*r**3 wrt r?\nAnswer: -32820*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 24, 1, -3, 2 in descending order.\nAnswer: 24, 2, 1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -2202?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (9\/48 + 0)\/(((-160)\/(-11520))\/((-1)\/(-6))). Suppose 15\/4*a**2 - 3\/2 - h*a = 0. What is a?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 16*h**2 - 18*h - 17. Let s be d(-17). Suppose 6*y - 342 = -s*y. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.7470583ml?\nAnswer: 0.0007470583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.7221739 grams?\nAnswer: 722173.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (-1 - 0)) + -3 - -2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m + 1. Let b be t(-1). Let o(f) = 1 + 4*f - 5*f - f**3 + 4*f**2 - 3. What is the units digit of o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - s. Let i(m) = -m**3 + 7*m**2 + 6*m + 18. Let w be i(8). Suppose w = v - 3*v. Determine n(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p + 8. Suppose -5*o + 2*y + 0 = 35, -4*o = 3*y + 5. What is the units digit of t(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 152381.3 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 58 + 85. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 3*z**2 - 3*z - 1. Let r be 1 + (46\/69)\/((-1)\/(-3)). Determine d(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*f*n**4*r - 26*f*n**2*r - 668321*n**4*r**3 - 609058*r**3 wrt n.\nAnswer: 96*f*n*r - 16039704*n*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 265748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -5*d**5\/4 - 10*d**4 - 55*d**3\/4 + 25*d**2 = 0.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2622619053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 4*k**2 + 34*k - 19. Let a be s(-9). What is the closest to -1 in a, 3, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -734*j - 732*j - 727*j + 2188*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 8 + 0)*(-2 + 3 - 6)*(5*x - 5*x + 3*x) as h + i*x and give i.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g - 4 + 5 - 1 in the form i*g + b and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -126*h - 3440. Calculate g(-27).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2330 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(91)*6 + -5*sqrt(91)*2)\/(((sqrt(77) - (sqrt(77)*1 - sqrt(77)))*1)\/(sqrt(11) + (sqrt(165)\/sqrt(3))\/sqrt(5))).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 733 = 2*a + 175. What are the prime factors of a?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6625 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 - -66. Suppose l + k = 4*l. Calculate the remainder when l is divided by ((-18)\/(-12))\/((-2)\/(-20)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/7 in -1\/5, 2, -12, 3\/7, 0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 + 25*k**2 - 2*k - 12. Let q be (-143 + 149)\/((-18)\/(-75)). What is r(q)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 199852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 263 is divided by 113?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.013304706 and 1.\nAnswer: 1.013304706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14741 - 14749. Sort t, -14, 3 in ascending order.\nAnswer: -14, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 - 2*m**2 - 2*m. Let l(a) = 4*a**3 - 9*a**2 - 9*a. Suppose 0 = -0*q + 4*q - 16. Let b be -3*3\/(-18)*q. Give b*l(k) - 9*c(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1379521 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - (-2 - (6 + -3)). Let t be ((-4)\/s)\/(154\/(-63)). Which is the third biggest value?  (a) -0.5  (b) t  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.3, 1.6, -0.1, 0 in decreasing order.\nAnswer: 1.6, 0.3, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11232 and 3618.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 + 12.1. What is the closest to w in 2\/5, 5\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 448 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-5 + sqrt(200) + 1 + sqrt(200) + -5 + 2 + -5)*3)**2.\nAnswer: -38880*sqrt(2) + 76464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 2*w - 5*j, -4*j + 16 = -0*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the third derivative of -13*u**6\/4 - u**5\/30 - u**4\/24 + u**3\/6 - u**2 + 27*u. Is r(-1) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2089 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -1 - 19*r**3 - 4 - r**2 + 4*r**2 + 23*r - 2*r**2. Let c(i) = -6*i**3 + 8*i - 2. Let v(f) = 8*c(f) - 3*s(f). Solve v(d) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/4 - 5936\/(-8). Suppose -2*h - 3*v + u = 0, 8*h - 4*h - v = 1508. List the prime factors of h.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + (0 - -4) - (15 + -94 + 46)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-123)\/(-15) - (-2)\/(-10). Suppose 0 = -m - 0 - i. Let v = m + 16. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 690256358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10634.08 kilometers to centimeters.\nAnswer: 1063408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 - 10. Let z be f(5). Suppose 4*a + 720 = 8*a. Suppose -a = -2*s + 150. What is the greatest common divisor of s and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/1444 and -121\/6498?\nAnswer: 12996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 4:58 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.46568 to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -v**6\/120 - v**5\/10 - v**4\/4 - v**3 - 19*v**2. Calculate i(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/8*2*(-24)\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8214069 divided by -76767?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-10)\/(-25)*(-10)\/(-4) + 175. Is 177 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 1798967613 and 0.0653.\nAnswer: 1798967613.0653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 0 - 6*u + 0*u**3 - 1\/4*u**4 + 6*u**2. Factor x(a).\nAnswer: -3*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kgguugkukgukkuuguu. Give prob of sequence gu.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.5 and 127.8493.\nAnswer: 128.3493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -26*i**2 - 3*i - 20. Let y(o) = 9*o**2 + o + 7. Let b(z) = -6*a(z) - 17*y(z). Let x be b(-3). Let r = 3 + -3. Solve w - 6*w + x = r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 2, 9, -5627, -2 in descending order.\nAnswer: 9, 5, 2, -2, -5, -5627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 245779, 245786, 245793, 245800?\nAnswer: 245807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -25, -5, 0, -50 in descending order.\nAnswer: 0, -5, -25, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*j + 2*j - j**2)*(0*j + 2*j - j) - j**3 - 2*j**3 + j**3 + (0*j - 3*j + 4*j)*(3*j**2 - 5*j**2 - 4*j**2) - 28 - 3*j**3 + 28.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 36\/((-9)\/(-3)) + (555\/(-37) - -44)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65 + (4\/1)\/4?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of 3*b**2\/2 + 1046. Let m(c) = -2 - 10*c + 2. What is i(m(w))?\nAnswer: -30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 689  (b) -5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 75.55806g?\nAnswer: 0.00007555806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 580643 to the power of 1\/2, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 203551 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h + 114 = 3*h. Let c(w) = w**3 + 23*w**2 - 52*w + 45. Let x be c(-25). Calculate the greatest common divisor of x and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 3*l - 0*y + 21, -3*l = -3*y. Let d(f) = -3. Suppose 5*k + 7 = -2*k. Let x be -2*((15\/6)\/(-5) - k). Let r(j) = j + 1. Give l*r(a) + x*d(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-36)\/(-15))\/(-4))\/(((-57)\/(-45))\/19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*z + 7*a + 3, 5 = 2*z + a. Find the third derivative of -35*h + 130*h**2 - 132*h**z + 135*h**4 - h wrt h.\nAnswer: 3240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 5 = -218. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -n + 2*d, -4*n + 18 = 2*d - 4. Suppose n*w = -4*c + 43, -5*w + 39 = 4*c - 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32d (base 14) to base 16.\nAnswer: -275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, -5, -2\/3, 3\/7, -134.29?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -27*i**3 + 5*i + 7. Let c(y) = 27*y**3 - 4*y - 6. Give -5*c(f) - 4*h(f).\nAnswer: -27*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7468 * 1\nAnswer: 7468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 55, 238, 549, 988, 1555, 2250, 3073?\n\"Answer: 64*k**2 - 9*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1546623.\nAnswer: 3, 13, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000971 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (-2 + 1*(sqrt(19) - (sqrt(19) + 1)) - (-3*1*sqrt(133))\/sqrt(7)))*-4)**2*1.\nAnswer: -768*sqrt(19) + 3760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.6 - 14.4. Which is smaller: x or -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393*w + 847*w - 379*w = 4578 + 1497 for w.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 11*v - 1. Suppose 35 = s + 4*s. Let i = -8 + 3. Let o be (-4)\/(-14) - i\/s. What is k(o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i - 2 = 0. Let k be -2 + (-1)\/(0 - i). Let d be k - 3\/(-4) - 117\/(-36). Solve -d*l - 2 = 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -38\/2794717 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*f - 1311 - 1312 + 2620.\nAnswer: -130*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -856917 - -2503502. Suppose 2*x = -z - 5313171, -3*z - 3 = -0. Let k = l + x. What is k rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -249557 divided by -178.\nAnswer: 249557\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11122122202 (base 3) to base 14\nAnswer: 25552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 14\/8 - 2\/(-8). Let u be 6\/(-12) + 9\/o. What is the third derivative of 3*h**u + 4*h**2 - 5*h**4 - h**2 wrt h?\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.33 + 11. Let n = k - -0.238. What is n rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (1 + 4 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(130) - (sqrt(130) + 6*-2*sqrt(130))) + sqrt(130) + sqrt(130))*-5)\/(1*sqrt(1210)*-5 + sqrt(1210)).\nAnswer: 35*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6*(2\/(-2))\/(-2). Solve 5*z + r = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -15*b**4\/2 - 548871*b**3\/2 + 1811547*b**2 - 1976322*b - 1097940 = 0.\nAnswer: -36598, -2\/5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000010 - -100101110010011010011111?\nAnswer: 100101110010011100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -134\/3440293?\nAnswer: -134\/3440293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2038b24 (base 12) to base 2.\nAnswer: 10111000100111101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = n - 1037, -3*d + 2451 + 1679 = 4*n. Calculate the remainder when n is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 63752797\nAnswer: -1\/63752797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -27893 plus -1141936.18?\nAnswer: -1169829.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 317*a + 5752 + 6904 = -587*a for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 76 + -47 - 6 - -5\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -b4e6 - -3?\nAnswer: -b4e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -37 - -58. Suppose -r + w = 4*r - 2*l, -5*r = 2*l - 29. Suppose 7*z - 2*z + 5 = 0. Sort 4, r, z in ascending order.\nAnswer: z, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2\/7 - 109544*s\/7 + 109548\/7.\nAnswer: -4*(s - 1)*(s + 27387)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -0.5, -1538, 90?\nAnswer: -1538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/4, 0.8, 1\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 679, 4, 1, -3 in decreasing order.\nAnswer: 679, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 195 + -589\/3. Which is the third smallest value?  (a) r  (b) 42  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 51*l + 9332. Calculate p(74).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1855*z**2 + 78 + 1094*z**2 - 78.\nAnswer: 2949*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = k, -q - 17 = -3*k + 8*k. Let o(w) = w - 5. Let x be o(6). Let j be x + (-4)\/(q\/18299997). Round j to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m + 31. Let w be y(-14). Solve -5*v + 5 = -w*k, 5*v + 0*v + 2*k = -20 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {p: 1, h: 8, f: 2, k: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*2\/(-25) - (-2269996)\/(-10). Round h to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -826 - -1516. Solve 0 = -m*p + 688*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 139544 - 139547. Let v = 6 - 10. Which is the third smallest value?  (a) v  (b) n  (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, o: 9, h: 4}. Give prob of picking 1 c, 1 o, and 2 h.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 5*s = -50, 4*y - s + 338 - 348 = 0. Which is the fifth biggest value?  (a) -29  (b) -0.5  (c) 0.06  (d) 2\/15  (e) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 5\/(-20) + 11\/(-4). Let p be (-1)\/(3*n\/(-9)). Which is the nearest to 2\/5?  (a) 0.2  (b) -0.5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -192057, -192040, -192021, -192000?\nAnswer: -191977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20320 and 11840?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -4*n - 5. Suppose -40*c + 1693 = -987. Let u(y) = 353*y - c - 357*y + 61. Give 7*a(p) - 6*u(p).\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 674, 1333, 1990, 2645, 3298, 3949, 4598?\n\"Answer: -b**2 + 662*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 49 = -3*w, 0 = 4*w + 5*s - 65 - 0. Suppose -5*g + 61 = -39. Calculate the least common multiple of g and (w\/(-10))\/((-3)\/44).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 - -122. Let g = -67 + y. Solve g = -h + 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-24)\/156*(4 - 3\/3). Let x = -3.4 + -0.6. Which is the fourth biggest value?  (a) l  (b) x  (c) 0  (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 - -34. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 226399.\nAnswer: 47, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 11*r**4\/4 - 5*r**2 - 3. What is the second derivative of k(m) wrt m?\nAnswer: 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y + 2*y - 6*y)*(-2*y**2 + 1041*y**3 + 1048*y**3 - 2022*y**3) to u*y**4 + k*y + f*y**3 + g + w*y**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*x - 25 = -0*m, 0 = 4*m + x - 20. Suppose -m*v - 3210 = -8*v. Suppose -a = 1130 + v. What is a rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*g**3 + 4*g**5 + 32*g**2 + 3 - 46 - 43 - 34*g**2 wrt g.\nAnswer: 240*g**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 4. Let y = 5.97 - -0.03. Let m = d - y. Put 3, 1, m in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*z + 4*z. Let h be (6\/z)\/((-24)\/60). Suppose t - h*t + 24 = 0. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -57.5415 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 9*m = 1000. Suppose 20*o - 15*o = m. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(-26 + 5 - 4 - 2*p).\nAnswer: 2*p + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/2*(11 - -196)\/((-12)\/(-104)). Do k and -898 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -74175687, -74175686, -74175685, -74175684?\n\"Answer: g - 74175688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o*o*o\/o**(-1\/8)))\/o*o*o**(1\/2))**(-13) assuming o is positive.\nAnswer: o**(273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 95 + -65. Suppose -28*t = -32*t - 5*x + 33, 26 = 3*t + 4*x. List the prime factors of 1785\/q - (-1)\/t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.47 minus 49795138.8?\nAnswer: -49795138.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 800 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 146 - 110 = 4*r, l - 5*r = 60. Let v = 70 - l. Calculate the highest common divisor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12439 and 2.\nAnswer: -24878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000023325 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 4*g - 7. Let a be t(-5). Let u be (-6)\/(-30)*a\/28. Let p = u - -149\/630. Put p, 0.2, -0.2 in descending order.\nAnswer: p, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + 1 - (-2 + 8)) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p + 46. Let z be x(22). Let g(w) = w - 25 + 25 - z*w. Let q(u) = -3*u + 0*u + u. Determine g(q(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -4*f + 20. Let l be o(10). Let p(j) = -j**2 - 21*j - 15. Let g be p(l). Suppose g*d = 83 + 182. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7 + 6)*(-36 - (-1 - 2)). Let b(x) = -3*x**2 + 2*x. Let i(v) = -48*v**2 + 33*v. Determine a*b(u) - 2*i(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1059 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a - 318 = -248. Let p(y) = -3*y**3 + 12*y**2 + 5*y - 12. Let i(h) = -h**3 + h**2 - 1. Let j(b) = -4*i(b) + p(b). What is j(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -112 - -108. Let q = 4 - 6. Which is the biggest value?  (a) q  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(9\/((-135)\/(-10)))*(-1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 6*l = -20. Let h be 16\/2*l\/(-8). Suppose h*x + 0*x - 48 = d, 2*d = 5*x - 60. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -279879 (base 10) to base 16\nAnswer: -44547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -38536\nAnswer: -5\/19268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.48 - -10.48. Let n = -1 - -0.8. Which is the nearest to n?  (a) 3  (b) o  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 122506123 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 629960 to the power of 1\/2, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*s*x**3 - 1215*s - 46*x**2 + 1 wrt x?\nAnswer: 9*s*x**2 - 92*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -105845 by -5.\nAnswer: 21169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i + 3*i - 3*i)*(-2 + 4 + 0) + 2 + i - 2 + 0 + 2*i + 0 + (-2*i - i + 2*i)*(2 - 4 + 0) - 2648 + 2648 + 9*i.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2150688?\nAnswer: 2, 3, 43, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w - 3341 = -w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 92065 or 90848?\nAnswer: 92065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**3 - 8*i**2 - 7*i + 3. Let k be a(-7). Suppose -1343 = -k*p + 4288. Let v = -1308 + p. Round v to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.52876 centuries to decades.\nAnswer: 605.2876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.19  (b) -0.6  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1619909261 to the power of 1\/2, to the nearest integer?\nAnswer: 40248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -233232 + -12320330?\nAnswer: -13220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 7:13 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-15)*-5*(-3)\/9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 101267576 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 397, 0.4, -1.2, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1315407370 to the power of 1\/2, to the nearest integer?\nAnswer: 36269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -2. Let t(u) = 12*u + 15. Suppose 38599*w + 238 = 38616*w. Determine w*g(h) + 2*t(h).\nAnswer: 24*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 52\/14 - 2\/(-7). Suppose -t + y = -0*t. Calculate the greatest common divisor of t and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -3) + -3 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13\/11 - 89\/66. Which is the smallest value?  (a) -2\/7  (b) -0.3  (c) r  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.6 + 0.4. Let g = -17.4572 - -17.3572. Which is the third biggest value?  (a) g  (b) 18  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 5*j + 8 = -3*t, -3*j = -3*t + 6. Let y = t - 2. Suppose 3*l - 17 = 4*k + 13, y = -k. What is the greatest common factor of 30 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-37)\/(-1295)*7 + (-140118)\/(-10). Which is greater: 14011 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5433459 + 13023701. Suppose -5009758 - n = 6*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 125616986 to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*v = -14*v + 6*v + 42126. Is v a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1672*a + 1399*a - 33781 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*k = 114*k - 72 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c9 - -2?\nAnswer: 2cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 7*l**3 + 2 + (0 - 2*l**2 + 0)*(350 - 483*l - 350 + 2*l + 0 + 0 + (0 + 0 + 1)*(0 - l + 0) + l + l + 0*l) to v*l + h + t*l**3 + y*l**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (490 - 960 - 2*p + 586)*(p**3 - 6*p**3 + 0*p**3).\nAnswer: 10*p**4 - 580*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.50603181 rounded to 2 dps?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/4*((-3)\/(-1))\/27?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (8 - 17)\/54 + 58\/(-12). Let j be (3 - (n - -12))*(-5)\/4. Solve 5*t = j*x + 50, 4*x = -0*t - 3*t - 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17294 + -9754. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - 10)*2\/(-14)*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.23 + 1.63. Let d be 0\/(-27) + (-4)\/(-14). Suppose -w - w - u = 2, -4*u - 8 = -w. Which is the nearest to 2\/11?  (a) w  (b) r  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/1264 and 117\/56.\nAnswer: 8848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 865769?\nAnswer: 865769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 860\/3  (b) 2\/15  (c) -0.0644\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -422\/7 - -4677\/77. Put w, 1\/9, -0.2 in decreasing order.\nAnswer: w, 1\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 + 89*n**3 - 1 + 9.\nAnswer: 89*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100110110111 + 10?\nAnswer: -110100110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*t = -k + 457, 3*k - 463 = 4*t. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1662859 at least 28268622\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -r**6\/6 + 4*r**5\/5 + 45*r**4\/4 + 20*r**3\/3 - 82*r**2 - 144*r + 6610. Determine z, given that x(z) = 0.\nAnswer: -4, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6648 - -6649. Which is the nearest to 0.3?  (a) x  (b) -5  (c) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3058 + -1319. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 5*w = -10*w + 11, -5*a = -3*w + 19 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 425 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 104 a factor of 19375408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1336296, 2672502, 4008708, 5344914, 6681120, 8017326?\nAnswer: 9353532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/5?  (a) -10  (b) -0.4  (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7147899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3184, 0, 6, -422 in decreasing order.\nAnswer: 3184, 6, 0, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-104)\/(-24)*8\/((-600)\/15).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -4*c**3 + 8*c**2 - 8*c + 12. Let y(p) = p**3 + p. Let d(j) = -t(j) - 2*y(j). Is 4 a factor of d(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30\/1487 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1639069 rounded to 2 decimal places?\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 344058 by -155.\nAnswer: -344058\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/5 > -35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 9.567449 decades?\nAnswer: 95.67449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a2ba11 - -4?\nAnswer: a2ba15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes before 4:43 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*k + 3. Let s = k - 5. Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 224388001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/4)\/(((r*r\/(r\/r**(-6))*r)\/r)\/r)*(r*r\/r**(2\/7))**(1\/51) assuming r is positive.\nAnswer: r**(2991\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(112)*4 - sqrt(112) - sqrt(112)) + 1 + 2*(sqrt(112) + -4*sqrt(112)*-5) + 0)**2.\nAnswer: 1760*sqrt(7) + 216857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 827 + -826. Solve 2*h = -d, d + h + 2*h = -p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 7:41 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**6\/30 + 2*l**5\/15 - l**4\/6 - 4*l**3\/3 + 4*l**2. Determine b so that r(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 484 + -266. Let f = -85 + u. List the prime factors of f.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31 = 6*p + 7. Suppose 4*i + 3*f = -40, -5*i + 4*i - 23 = p*f. Which is greater: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**29\/(s**(-12)\/s))**(-18) assuming s is positive.\nAnswer: s**(-756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/15)\/(48\/200*-1)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of i**5 - 50302967*i**2 + 2624321*i + 5 wrt i?\nAnswer: 20*i**3 - 100605934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.26732 centimeters in meters?\nAnswer: 0.2626732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 240*d - 970 = -74. What is the fourth biggest value in -2, -1, d, -1\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 43*g**3 + 2*g**2*p + 46*g**2 - 15*g*p + 1133 wrt g?\nAnswer: 258*g + 4*p + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/96 and 25\/170724?\nAnswer: 1365792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/20 and -82\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25 - 3. Let q = v + -42. Let b = q - -51. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 53769.906399 - 53770. What is b rounded to 3 decimal places?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 PM and 3:24 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (2\/(-4))\/(8\/(-16)). Let i = -0.8 + 2.8. What is the third smallest value in -4, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78356653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1011.365 - -1012. Round y to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -40.4 + 40. Which is the smallest value?  (a) -1  (b) -0.8  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 12346 - 4523. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1201310 divided by 600655?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1858 in 2, 0.26, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from {e: 7, a: 2, u: 1}?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.6  (b) -9.9931  (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a**2 - a + 2. Let r be j(5). Sort -4, -3, -1, r in descending order.\nAnswer: r, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 66361?  (a) 4  (b) -4  (c) 0.145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -130*g + 2359 + 4770 + 801. Calculate the remainder when g is divided by 60.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -882 smaller than -792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -677.969 + -793772.031. Let n = c + 794449.91000075. Let x = n + 0.09. Round x to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -2909\nAnswer: -2913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22652\/3 - 7549. Sort 1, s, -3, -0.027 in ascending order.\nAnswer: -3, -0.027, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14246616169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 7983065 to the power of 1\/2, to the nearest integer?\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 0) + (48 - 46). Solve 0 = -a - t + i, 5*t - 3 - 1 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*c + 207 = 0, b + c = 5*b - 276. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r + 31. Let b be t(13). Let o(p) = p + 2. Determine o(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of b**5\/20 + 5*b**4\/12 - b**3\/3 + b**2 - 21*b + 5. What is c(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*y + 40*y - 77043 = -3*c, -3*y + 77007 = 3*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*s**3 - 11*s**2 + 34*s**2 - 19*s**3 - 9*s**3 to x*s**3 + f + k*s**2 + y*s and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -12 + 7*s**2 - s**2 - 11 + 3*s**2 - 2*s**3 + 14*s + 0*s**2. What is the remainder when 90 is divided by p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 45976765 and -0.3?\nAnswer: -13793029.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76 + -46. Suppose -c - 4*c + 2*g = -z, -g = 4*c - 24. Calculate the lowest common multiple of c and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3\/4, 3\/2, 0 in decreasing order.\nAnswer: 4, 3\/2, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -95 + 97 = 2*g - 3*o, 9*o = -g - 41 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -0.3, 0.05, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 305297\/66 - 6\/9. Let h = 4622 - l. What is the common denominator of -99\/20 and h?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((s*s**(-10))\/s)\/s)\/s)\/(s\/(s**4\/s)))**(19\/2)*(s**(1\/4))**(-2\/23)*(s**(-2\/5)*s)\/(s*s**(-3)*s) assuming s is positive.\nAnswer: s**(-21487\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 853 - 831. What is the highest common factor of n and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lfll when four letters picked without replacement from {j: 6, l: 4, f: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, v: 3, p: 3, o: 1}. Give prob of sequence vogg.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*l - 58*l - 264 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2043537, -3, 1 in decreasing order.\nAnswer: 2043537, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -4*p. Suppose p = -4*z + 4*r - 12, 2*r - 12 = 4*z + 5*r. Let q(y) = 2495 - 4*y + 2*y - 2497. Give q(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*o + 5*o - 35*o - 26*o as s*o + u and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*2*3*5\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 294, 1105, 2442, 4305, 6694, 9609?\nAnswer: 13050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - t**2 - 3*t - 8. Give c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g - 164 = 13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/5))**(-2\/93)\/(g**0*g*g*((g*g*g**7\/g)\/g)\/g))**(-3\/41) assuming g is positive.\nAnswer: g**(3716\/6355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 68676317 to the nearest integer?\nAnswer: 8287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 55 (base 10) to base 4\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the third derivative of -i**10\/100800 - i**9\/24192 - i**8\/20160 - i**5\/20 - 2*i**2. Let l(f) be the third derivative of a(f). Factor l(z).\nAnswer: -z**2*(z + 1)*(3*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from {k: 8, b: 1, v: 2, r: 5, u: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -204\/33709 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q = 131*q - 584. Let p(b) be the first derivative of 45\/4*b**q + 25\/6*b**6 + 3 + 10\/3*b**3 + 0*b**2 + 12*b**5 + 0*b. Factor p(h).\nAnswer: 5*h**2*(h + 1)**2*(5*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 2*d + 2*v, -3*d - 20 = -2*d + 5*v. Suppose 3*b - 5*f = d, 0 = b + 29*f - 27*f. Solve b = -47*g + 49*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14853 - -16569. What is the greatest common factor of 484 and n?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 180667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 11, -2, 10, 0 in descending order.\nAnswer: 11, 10, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2404 + -13433221?\nAnswer: -13441130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 3*j**4 - 11*j**3 + 15*j**2\/2 + 6*j - 22. Solve s(c) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3777453 by -1259151.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*b + 82*b**2 - 40*b**2 - b**3 + 4*b - 3*b - 6*b to the form p*b**2 + c*b**3 + g + u*b and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*n + 5013 - 9213 + 4200.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2 - 2*t + 636*t**2 - 3*t**4 - 632*t**2 - 2*t**4 + 4*t**3 - 2*t**5 + 3*t**4.\nAnswer: -2*(t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29745642 to the power of 1\/2, to the nearest integer?\nAnswer: 5454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide ((-7852)\/104)\/((-3)\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*w**3 - 4*w + 10*w**3 + 100*w**3 - 23*w**2 + 19*w**3 wrt w?\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7705\/7 + 1101. Which is the third smallest value?  (a) -2\/11  (b) f  (c) 2\/11  (d) 2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*o + 18. Suppose o*j - 7*j = 0. Let y be ((-6)\/(-9))\/(13\/9). Which is smaller: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-9))\/((-56)\/(-84))*(-11340)\/(-280).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -5. Suppose -4*b - l = -9. Suppose -5*v + 5*y = -45, -3*v + 27 = b*v + y. Calculate the highest common divisor of 9 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8711*f**4*s**2*u + 11*f**4*s*u - 2*f**2 - 2*f*u + 85*f + 3*s**2*u - 33*s**2 wrt f.\nAnswer: 209064*f*s**2*u + 264*f*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**2 - 21*f + 3028. What is w(-45)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65 - -143. Let r = u - 55. What is the remainder when r is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4036741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55 - 46 - 90)*(7*f - 11*f - 6*f).\nAnswer: 1910*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - 1 + z + 0*z)*(57*z - 14*z + 37*z) as c*z**2 + o + j*z and give j.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {p: 1, a: 2, k: 1, z: 1, g: 1, b: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -46*p**2 - 55*p + 3. Let q(n) = -47*n**2 - 53*n + 4. Let i(h) = 4*k(h) - 3*q(h). What is the second derivative of i(s) wrt s?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 + -10. Suppose m = 6*m - 4320. What is the greatest common factor of d and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -0.4334\nAnswer: -1.3002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 383*f - 2*q = 388*f - 33, 0 = 4*f + 3*q - 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8961 is divided by 6458.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 6, -36, -1 in descending order.\nAnswer: 6, 4, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of d**5\/20 - d**3\/6 + d**2. Suppose -2*a = -5*x + 23, -2*x + 7 = 2*a - 5. Let q be n(a). Solve q*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**2 + 30*n - 99. Let l be v(26). Suppose -10*f + 5*f = w + 31, 0 = -2*f + l*w - 7. Put 1, 0, f in decreasing order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10e + -3?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -3*t - 21. Suppose 10*r - 5*r = -60. Let i be p(r). Suppose 44*z**2 - i*z - 49*z**2 + 3 + 17 = 0. What is z?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (33*k**2 + k**2 + 0*k**2)*(-4 + 4 + 188*k + 13*k) in the form t*k**2 + u + c*k + w*k**3 and give w.\nAnswer: 6834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -35*5\/(-30)*11\/(-55)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 22. Let l(a) = -f + 13 - 3*a - 3. Is l(-3) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 500652159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s**3 + 1884*s**2 - 591480*s + 61888400 = 0 for s.\nAnswer: 310, 322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -35692, -35792, -36062, -36586, -37448, -38732?\n\"Answer: -14*k**3 - k**2 + k - 35678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76591885?\nAnswer: 5, 17, 277, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -76\/165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-26) - ((-18609)\/39 + 2). What is q rounded to the nearest 10?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + -1 + (-1 - -2). Suppose -2*h + 3*t - 2*t + 47 = 0, -2*h = -x*t - 32. Calculate the least common multiple of 1\/(-4) + h\/8 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 70 - 30. Suppose -j = -6*j - 2*o + l, -4*j + 3*o = -32. Solve 4*a + 0*a - j = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 14*p + 257. What is k(-10)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 178*1.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -7\/10*b**2 + 1\/5*b**4 - 8\/25*b**5 + 1\/10*b**6 + 2\/5*b + 2\/5*b**3 + 3. Let a(g) = 0. Calculate g.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1541, -6003, -13441, -23855, -37245, -53611?\n\"Answer: -1488*r**2 + 2*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 - 6. Let f(k) = -k**3 + 8*k**2 + 7*k + 13. Let y be f(w). Let a be 1\/1*(0 - -2). Sort y, 3, a in descending order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f**2 + 5. Let s(l) = 4*l**2 - 11. Determine 9*p(t) + 4*s(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1906784 and 103\/2816?\nAnswer: 15254272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4919 or -1\/2?\nAnswer: -4919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 1506.\nAnswer: -2\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 8805 = 47217. Let j be (8\/(-10))\/(6\/30) - -14. Suppose j*d = d + c. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2274030 to the nearest integer?\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z - 2*z - 2 - z)*((0*z + 0*z + z)*(-8*z**2 - 48 + 48) + 2*z**3 - 2*z**3 - z**3) - z**4 - 1 + 1.\nAnswer: 8*z**4 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -837803*q**3 - 84*q + 89044951 with respect to q.\nAnswer: -2513409*q**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jpjjpffjjpjfjf. Give prob of picking 2 p and 2 j.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -897*n - u = -895*n - 31, 5*n + u - 82 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 0*t + 1\/200*t**6 + 1\/100*t**5 + 1\/120*t**4 + 0*t**3 + 21*t**2 + 1\/1050*t**7 + 0. Determine o so that k(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2101120020 - 1?\nAnswer: -2101120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 16 = -3*p, 2*q - 8 = p + 4. Suppose 5 + 4 = 3*v - 4*f, -q*v - 4*f + 40 = 0. Calculate the remainder when 11 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -419 - -129. Let q = f + 293. Which is the third smallest value?  (a) -0.2  (b) -2\/5  (c) q  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*n + 39*n + 48*n - 148*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -974297 and -974340 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4.7248 times -8.3\nAnswer: 39.21584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/2*((-17)\/(-17)*-34)\/(24\/30)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -74891168, -74891167, -74891166?\n\"Answer: w - 74891169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2297\/6 - -383. Let h(k) be the second derivative of 0*k**2 + 0 + n*k**3 + 2*k. Let i(p) = 3*p. What is h(i(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y - y**3 + 0*y - 1181 + 1937 - y to j*y**2 + q + v*y + i*y**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-378)*(-3 - (-9)\/6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/(-20) + (-18)\/(-10). Suppose -3*f + 80 = c*f. Solve -5*n = -n + f for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4 - 22*c + 0 - 4. What is the units digit of m(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 66, -2, -333813 in decreasing order.\nAnswer: 66, -2, -333813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - 5\/(10\/4). Suppose h*j - j = 2. Let a = -8 + 8. Solve 2*t - 4*k = -a*t - 2, j*t = -5*k + 16 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.03 - 0.03. Let s be (-8)\/(-10) + 115\/(-50). Suppose 5*i - 24 = 3*i + 4*v, 4*i - 2*v - 24 = 0. What is the smallest value in u, s, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 115 - 64*b + 26*b**2 - 120 - 28*b**2 as t*b + p*b**2 + s and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and (14 + -17)*(-4)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3202*u + 3234*u + 640 = 0 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27164675 divided by -5?\nAnswer: -5432935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/18 + 0\/(-1 - 4).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2658 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.706 - -13.2472. What is m rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/19  (b) -2\/7  (c) -0.091  (d) 4  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.36 - -0.378. Round a to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3079489072 to three decimal places.\nAnswer: -0.308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -16, 2.\nAnswer: -16, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3 + 3)*(2*v + 2*v - 2*v + (3*v - 2*v - 2*v)*(1 + 1 - 1)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -7*z**2 + 51*z + 88. Let n(a) = 25*a**2 - 203*a - 352. Let b(t) = -22*d(t) - 6*n(t). Factor b(k).\nAnswer: 4*(k + 2)*(k + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 2)*(-14036 + 7059 + 7305 + t)*(4*t + t**3 - 4*t).\nAnswer: -t**4 - 328*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of 8*b**3 - 18*b**2 + 72*b - 77. Let g(x) = x**2 - 1. Let j(k) = -f(k) - 72*g(k). What is the second derivative of j(d) wrt d?\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(-103*v + 36*v - 47*v).\nAnswer: -228*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -13, -3, 5, 12, -4 in descending order.\nAnswer: 12, 5, 2, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/7)\/(h*h*h*h\/(h**(-1\/7)*h)))\/(h\/(h\/h**(-1)*h)*h**(-2)))\/(h\/h**6*h**(-4))**48 assuming h is positive.\nAnswer: h**(3029\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -503, -826, -1147, -1466, -1783?\nAnswer: -2098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vyovyn. Give prob of picking 1 n and 1 v.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (51 + -11 - 26) + -16 - (0 + 82).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 28*d. Let j(a) = a**2 - 54*a - 10102. Determine u(j(r)).\nAnswer: 28*r**2 - 1512*r - 282856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 - 8*j**2 + 8*j - 7. Let g be o(-9). Suppose -6 = 5*w - g*a, w - 6 = -0*w - 2*a. Let f be (-4)\/8*w\/(-1). Solve f*p + 4*p = -12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*z - 8*z - 5*z)*(113*z + 271 - 271).\nAnswer: 339*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:14 AM and 6:04 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4265 - 4266. Which is the second biggest value?  (a) 7  (b) k  (c) -40  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 76185 by -97.\nAnswer: -76185\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(5\/2*(-11)\/(-55)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 11, h: 7}. Give prob of sequence llhl.\nAnswer: 77\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/4)\/(9\/108). Solve z = -4*q + 5*h - 7, -q = 2*h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/6*(-1 + (-867)\/(-102)). What is the closest to -2.5 in 4, a, 19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 459136110 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 12*q - 34. Let w be f(14). Let m be 3\/(w\/(-34))*(17 - 15). Suppose 7*d - m = 6*d. List the prime factors of d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 6:39 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -671b5 (base 12) in base 3?\nAnswer: -20221122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 586 is divided by 75.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-3\/2)\/n*n\/((n*n\/(n*n**(2\/13)))\/n*n*n*n)*n*n**(1\/11)*n**(-3))**(2\/27) assuming n is positive.\nAnswer: n**(-1789\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u**4 + 3*u**4 - 5*u**4)*(-3*u - u + 5*u) + 3*u**5 - 3*u**5 + u**5 + (-18*u - 7*u - 37*u)*(2*u**4 + 2*u**4 - 5*u**4).\nAnswer: 61*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -203\/6 - -34. Let a(c) = -c + 37. Let k be a(0). Let z = k - 147\/4. What is the second biggest value in s, z, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1362, 1367, 1384, 1419, 1478?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the third derivative of s**6\/360 + s**5\/24 - s**4\/8 + s**3\/6 + 5*s**2. Let w(h) be the first derivative of l(h). Determine w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18346 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -557 <= -557?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3821546 and 37051?\nAnswer: 26750822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -10, 1\/2, -3, 1\/7, 16\/5 in descending order.\nAnswer: 15, 16\/5, 1\/2, 1\/7, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -31*y - 14 - 462 - 392 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -2*o + 249, 0*o = 4*o - 5*n - 483. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.06 - 0.14. Let d = 1289\/1554 - -1\/259. What is the third biggest value in x, 3\/8, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101000110 (base 2) to base 14\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vffa when four letters picked without replacement from vfpfppvpaaaa?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 85 = -4*o + 7, 3*o = -5*d + 244. Suppose -d*r + 3 = -49*r. Solve r*l + 1 - 5 = -p, 0 = 5*p - 5*l - 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 4*w + 17. Suppose 0*v + 2 = -j + v, j - 4*v + 17 = 0. Suppose 3*a - j*t + t = 278, 5*t = 25. Calculate the greatest common factor of w and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1098, -5, -1, -15.\nAnswer: -15, -5, -1, 1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3. Let m(b) = 7*b**3 + 32*b**2 - 30*b + 41. Let u(c) = -6*d(c) - m(c). What are the prime factors of u(-33)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = g + 33. Suppose 2*j - 2 = j. Suppose -j*k = -3*h - 8 + 100, k + 126 = 4*h. Calculate the remainder when h is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 751783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 - -22. Solve 5*z + a = y, 0*z + z + 3*y - 14 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.0632, -5, 2\/3, -2?\nAnswer: 0.0632","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 686473?\nAnswer: 686473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -110 - -128. Suppose -x - 5 = j, -19 - 12 = 3*x - j. Let z = l + x. What is the highest common factor of z and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.6 at most as big as 2\/784585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of -4\/5*i - i**2 - 2\/5*i**3 + 2. Factor o(g).\nAnswer: -2*(g + 1)*(3*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-931)\/(-532) - (-2)\/(-8)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31 in 1\/5, -0.4, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3 = -2*y, -5*y = -w - 0*w. Let l = 3 - y. Suppose -4*o + 3 = p, 2*o + 5*p + 5 = 2. Put o, l, -2 in decreasing order.\nAnswer: l, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57901 is divided by 18865?\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*x = -21*x + 3*x - 112. Which is the second biggest value?  (a) -0.1  (b) 1\/3  (c) x  (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0452 and 0.12?\nAnswer: 0.0748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 + 59*c + 765. What is k(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + -25 + 12 + -14?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -623482\/207 + 3012. What is the fourth smallest value in q, -0.3, -0.4, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - 11044?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2019 + 1784. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 5*l = 29, 2*x + 4*l - 22 = 3*l. Suppose 110 = 11*n - x*n. What is the remainder when n is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -7*x**2 - 6*x - 6. Let w(p) = -p**2 - p - 1. Let c(f) = -h(f) + 6*w(f). Let s(z) = -54*z. Give c(s(g)).\nAnswer: 2916*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 - 14*u**2 + 45*u**2 - 18*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 269 is divided by 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.7745582cm?\nAnswer: 0.000007745582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.5 and -489.004?\nAnswer: 489.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -42. Let m = -41 + z. Which is the third smallest value?  (a) m  (b) -1  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1469 plus -7.30863?\nAnswer: -7.45553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*v - 1996 = 1319. Is 18 a factor of 0 - (v + (-7 - -7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 * 0.085099\nAnswer: 0.765891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 95*u - 40187. What is q(423)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/10 + 20\/(-25). Round f to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10472 and 7.\nAnswer: 10472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*h = 106696, t + 4*h = 8*h + 26653. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42\/5 of a day in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 109\/21 - 31\/21. Which is smaller: a or 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 11. Let g(f) = 5*f - 2 + 0 - 4*f - 3. Let r be g(m). Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 82053492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 10*h**2 + 2*h - 141. Let r be n(8). Let f be 10\/20*10*-1. Let d be ((-12)\/(-15))\/(1\/f). Put -3, 1, d, r in descending order.\nAnswer: r, 1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by -120\nAnswer: -11\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 615800284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 9*c + 6. Let l(x) = -17*x - 12. Let y(g) = -6*l(g) - 11*w(g). Let q(m) = -m - 2. Let p(a) = 8*q(a) + 3*y(a). Calculate p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8342774*i - 5743546 with respect to i.\nAnswer: -8342774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -p + 0*p + 3*p + (33*p - 11*p - 164*p)*((-3 + 4 + 0)*(-2 + 1 + 0) - 4 + 2 + 0 + 0 + 1 - 4) to i + n*p and give n.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 7\/1864, 4, 69\/5 in descending order.\nAnswer: 69\/5, 10, 4, 7\/1864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9159 (base 12) in base 16?\nAnswer: 3d95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/3 - 31\/3. What is the units digit of (1 + k)*(-6)\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7964625, 7964640, 7964661, 7964688, 7964721?\nAnswer: 7964760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1850716741 times -0.5?\nAnswer: -925358370.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -8*y. Suppose 380*j - 94*j - 572 = 0. Calculate a(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 5*c**2 - 2*c - 5. Let d(u) = 4*u**2 - u - 4. Let j(t) = 4*d(t) - 3*l(t). Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of 7*o**3\/6 - 4*o. Let p(v) = -55*v**2 + 98*v**2 - 45*v**2. Give p(u(g)).\nAnswer: -98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 14 = 4*a, 3*l + 3 = a + 2*a. Let x be (16\/(-20))\/(l\/15) + 414. Suppose -8*n = -432 - x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*b**2 - 1891807 - 86*b**2 + 1891809.\nAnswer: 17*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (13 + -22 - (2 + 6 + -11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -8*z**2 - z. Let g be b(-1). Let d(i) = -2*i**3 - i**2 + 2. Let j(t) = 2*t**2 + t**2 + 0*t**2 - 5 + 4*t**3. What is g*d(a) - 3*j(a)?\nAnswer: 2*a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/2*(-9 + 1). Let s(m) = m**3 - 2*m**2 - 6*m + 4. Let g be s(a). Suppose -4*w = -2*w - g. Solve -5*c - 5 = 0, -2*o = c - w*c - 7 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y + 0 + 0)*(4 - 5 - 1 + (-1 + 0 + 0)*(-4 + 3 + 0) + 1 - 3 + 1)*(6 - 8 - 16) to x + h*y and give h.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 57\/2 - 30. Let i = -38 - -35. Let j = 13\/7 - 2. What is the second smallest value in j, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = -628 + 1836. What are the prime factors of a?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 0. Let f = 1 + l. Suppose -2*v - 1 = -f, 0 = r + 4*v - 21. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-8992959.\nAnswer: -539577.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1100011011 (base 2) to base 15\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c - 3*c + 2*c + c + 7*c.\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -14*h + 7*h**2 + 7*h**2 + 7 + 35*h - 12*h. Let f be y(-2). Solve j = -8*j - f for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3 + -607)*-4*25000\/2. What is k rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2254 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*m - 3*m**3 + 12*m - 5*m**3 + 9*m**3 in the form b + i*m**3 + p*m**2 + z*m and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 3 + -2 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, 0.479, 3, -0.164, -23.\nAnswer: -23, -0.164, -0.04, 0.479, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o + 324 - 34 = -29*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 227 - 456. Let a = 236 + l. Suppose 6*p - 2*p = -12, -5*p - 19 = -2*k. Solve a*j + 20 = k*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132 is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -103541453, -103541446, -103541427, -103541390, -103541329, -103541238, -103541111, -103540942?\n\"Answer: l**3 - 103541454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-2\/3)\/t)**(9\/4)\/(t**(-2\/7))**(-34) assuming t is positive.\nAnswer: t**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -c**2 + 3529*c - 184228.\nAnswer: -(c - 3476)*(c - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15949 + -15934. Solve 3*b + 2*j + 2*j + y = 0, 4*j + 12 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) 0.1  (c) 2\/5  (d) 5\/37  (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m = 325*r - 323*r + 55, 4*r = m - 11 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 734920 times -9?\nAnswer: -6614280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**2 + b**2 + 2*b**2 - 8*b**2 + 6*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-12)\/(-9))\/(2\/3). Let d(j) = j**2 - 2*j + 2. Let k be d(n). Solve 0*m - m = -k*o - 2, 2*m + 4*o + 4 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 3 + 3. Let m(d) = 4*d. Let y(i) = 5*i. Let p(s) = o*m(s) + 4*y(s). Let n(u) = -u**2. Calculate p(n(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2960 and 16.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12835*w**2*x**2 + 217*w**2*x + 5*w**2 + 3*w*x**2 - 19*w + 1975*x**2 - 3*x wrt w.\nAnswer: -25670*x**2 + 434*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15087552.\nAnswer: 2, 3, 179, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-285)\/(-3) + 1*-1. Let p(m) = -m**3 - m + 1. Let n be p(0). What are the prime factors of n\/4 - k\/(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 3*k - 2. Let t(b) be the third derivative of b**5\/20 - b**4\/24 - 2*b**2. Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**3 - 13*m**2 - 42*m - 5. Let b be s(-7). Let a(q) = -q**3 - 3*q**2 + 10*q + 7. Give a(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 102. Let r = 164 - h. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -6*q**2 - 2*q - 1. Determine y(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1659d35 + 4?\nAnswer: -1659d31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -6*o - 4. Let s(h) be the third derivative of -h**4\/24 - h**3\/6 + 9*h**2. Let u(x) = 3*a(x) - 12*s(x). Let k(l) = 4*l. Calculate k(u(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 - 6*c**2 - 61*c - 5. Let f be k(-4). Which is smaller: f or -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -13.2. Let t = -10 + 2. Let x = 9 + t. Which is the nearest to x?  (a) w  (b) 1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -415\/4?  (a) -0.3  (b) 4  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*b**2 + 220\/3*b - 6050.\nAnswer: -2*(b - 165)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 9:22 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3d9665 - -5?\nAnswer: -3d9660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + (27 - (37 - -3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y - 11. Calculate the remainder when 16 is divided by f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a - 2*a - a)*(0*a - 5*a + 3*a) - 5*a**2 + 114*a + 2028 - 112*a + 2*a**2 + 591.\nAnswer: a**2 + 2*a + 2619","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + (-42 - -6) + -35?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 18 - 55*r - 81*r**3 - 78*r**3 - 18 + 162*r**3 as b + c*r**3 + u*r + n*r**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*w**2 + 2 + 4*w**3 + 3*w**2 - 6*w**3 - 3*w**2 in the form d + m*w + u*w**2 + g*w**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9673354 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13699064333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3715078.\nAnswer: 2, 17, 109267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 4*v = 17, -4*v - 68 = 4*x - 9*v. Let h = 31 + x. What is the lowest common multiple of h and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 185 + -373. Let c = 181 - b. What are the prime factors of c?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 l, and 1 c when three letters picked without replacement from lclobax?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -52695750 and -73.\nAnswer: -52695823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 99799 divided by 269\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 11136 divided by -464?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20, 33, 54, 89, 144, 225, 338?\nAnswer: 489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 309 and 309.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.847 + 11.179. Round f to 1 dp.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-4 + (16 - 5) + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2 + 40. Is y(0) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -5027*x + 279. List the prime factors of l(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 + 5*s**2 + s**2 + 2*s**2 - 2*s**2 - s**2 + (2*s - 1 + 1)*(-s + s + s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/15 - 14\/(-12))*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/6 and -71\/1559792?\nAnswer: 4679376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -5 + 161*m**3 + 164*m**3 - 5*m**2 + 151*m**3 - 3*m - 468*m**3. Let l(d) = 9*d**3 - 6*d**2 - 2*d - 6. What is -5*l(o) + 6*z(o)?\nAnswer: 3*o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 - 3)*(-2*i + 0*i - 3*i)*(-i + 2*i + 3*i).\nAnswer: 100*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -30*22\/132 + 7204?\nAnswer: 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 221797074*a + 286453754?\nAnswer: 221797074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 5. Let m(t) be the third derivative of -t**7\/1680 + t**6\/720 - t**5\/20 - 11*t**2. Let p(s) be the third derivative of m(s). Determine p(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 3*p = -111, 0*z + 4*p = 5*z - 185. Calculate the least common multiple of 4 and z\/2 + 9\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4913 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-4)\/q**(-2\/15))\/((q*q**(2\/7)*q)\/(q*(q\/(q*q**(-2\/11)))\/q*q)) assuming q is positive.\nAnswer: q**(-5741\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of 2*y**3 + y**2 + y - 18. Let l be a(-1). Suppose -251 = -l*f - 21. What is the remainder when f is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -c**2*o*r**2 - 49*c**2*o*r + 3*c**2*o - 41975*c**2 - 54086184*c*r**2 - 2*o*r**2 wrt r?\nAnswer: -2*c**2*o - 108172368*c - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*r + 568 + 290. Is -78 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -25*p**2 + 2*p + 2. Let k(m) = -23*m + 50*m**2 - 5 + m + 3*m + 6*m + 8*m. Calculate -5*g(w) - 2*k(w).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(14) + sqrt(350)*2)\/(5*sqrt(6)\/sqrt(3)) - ((sqrt(21)*1 + sqrt(21))*6)\/(sqrt(36)\/sqrt(3)).\nAnswer: -19*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m - 0*m - 2. Let u = 6 + m. Solve 2*g - 1 - u = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121843 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24334*a**2*t**4 + 32*a**2*t - 13092430*a**2 wrt t.\nAnswer: 97336*a**2*t**3 + 32*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -37*o. Let t(i) = -796*i + 17. Calculate n(t(j)).\nAnswer: 29452*j - 629","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, 0.2, -77\/5, 1 in decreasing order.\nAnswer: 1, 4\/7, 0.2, -77\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(605) + (sqrt(605) - -2*sqrt(605))*3 + 1 - (-1 + 2*2*sqrt(605)*-5))**2 + 5.\nAnswer: 3300*sqrt(5) + 544530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddddmffu. Give prob of sequence dmfu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 1  (c) 0.2  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 1, 216 in decreasing order.\nAnswer: 216, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 59 + 66 = -3*u, a + 4*u = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-34)\/6 + (-4)\/12. Let i be ((-8)\/b)\/((-1)\/(-3)). What is the third derivative of -5*f**i + 5*f**4 - 3*f**4 + 2*f**4 - 2*f**2 wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = -5*y + 103. Let h = 22 - y. Let g = h + -7. Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -603 - -656. Put 2, 3, y in decreasing order.\nAnswer: y, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -297337 by -2.\nAnswer: 297337\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x - 7 = 15*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -2 + 18. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/84 and 83\/102.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 f when four letters picked without replacement from {t: 2, c: 6, f: 4}.\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1721526369?\nAnswer: 3, 17, 19, 73, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 11:33 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9810)\/40)\/(4\/16). Let a = s + 2911. What are the prime factors of a?\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 139919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -93 or -94?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -705 divided by 235?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 23  (b) -3  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 601567 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 5, -3, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-19)\/190)\/((-12)\/7440*2).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340455.\nAnswer: 3, 5, 22697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 338*n**5\/11 - 1300*n**4 - 2038158*n**3\/11 + 81829256*n**2\/11 - 25033304*n\/11 + 174720 = 0. What is n?\nAnswer: -77, 2\/13, 39, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - 7*d**2 - 5*d + 9. Let v be y(-6). Suppose 4 + 23 = v*n. What is the highest common divisor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 11*p**2\/2 + 4. Let s(u) = u**2. What is g(s(i))?\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 1 - 29 = 0. Suppose 0 = -d*b + 2 + 10. Factor 7*w + 2*w**2 - 5*w + 2*w + b.\nAnswer: 2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 11:45 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 24239 not equal to 24342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.006  (b) -0.5  (c) 16  (d) 4  (e) 0.4  (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -5*r - l, 7*r - 36 = 4*r + 3*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a factor of 7666633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 56363314 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 6*i**2 + i - 1. Let l be j(1). Let y be 2\/(-12) - (-175)\/42. What is the greatest common factor of l and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, q: 2, j: 5}. Give prob of sequence iqjj.\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.9799 - 0.0201. What is the nearest to 17 in 2, -2\/9, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, -1, -0.4, -4, -21, -9\/5, 2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 - -54. Let r(b) = -115*b + 1. Let s be r(-2). What is the greatest common divisor of s and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 10 = -4*y, 0 = 5*y - y. Let l(u) = -4*u - 22. Let g(t) = 3*t + 22. Let i(n) = 6*g(n) + 5*l(n). Let s be i(6). Solve -s = -f*z + 7*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22 (base 3) to base 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74 = -2*g + 4*f + 80, 4*f = -3*g + 231. Calculate the remainder when g is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4900 is divided by 109?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 < 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 10:32 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**5\/3 + 49*b**4\/3 - 288*b**3 + 6104*b**2\/3 - 8624*b\/3 - 16464.\nAnswer: -(b - 14)**3*(b - 9)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f**2 + f**2 + 0*f**2)*(-2 - 1 + 5)*(3*f**2 - 5*f**2 + f**2 + (2 + 2*f - 2)*(f + 3*f + f)).\nAnswer: 54*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -4*l - 65, 3*r = l - r + 13. Let y = -6 - l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that 2*d**2 + 246*d - 248 = 0.\nAnswer: -124, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -873*g**3 - 1107*g**2 - 19016674*g?\nAnswer: -5238*g - 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 14*u**2 - 22*u + 28. Let x be o(-12). Suppose x*q - q + 25 = 5*n, -n - 5*q + 33 = 0. What is the lowest common multiple of 9 and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 741 and 14898.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -324 = -3*l - l + 3*w, -w = 0. Suppose 19 + l = 5*x. What is the greatest common factor of x and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 662*m = -433*m + 870*m + 4275 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/((sqrt(14)*2)\/sqrt(7)))\/(sqrt(225)*-2*-6))**2.\nAnswer: 1\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -679*u - 118*u + 1605 = -245 + 256 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d - 22 - 17 - 38 + 77.\nAnswer: 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 448852766 to the power of 1\/2, to the nearest integer?\nAnswer: 21186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 5, 7.2, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-134)\/(-77) - 46071\/35833?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wo when two letters picked without replacement from oawog?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) 0.02  (b) 7  (c) -210  (d) 2  (e) 3.9  (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2087 + 2518. Solve -5*d + 426 = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6\/269 - -2289\/5918. Find the common denominator of b and (3\/8)\/((-81)\/(-1092)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1012, -103, 0 in decreasing order.\nAnswer: 1012, 0, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3106812 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -11084, -11074, -11064, -11054?\n\"Answer: 10*c - 11094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6355 and 7657.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*v + 43*v + 6*v)*(40*v - 40*v + v**3 + (1 - 2 + 0)*(0*v**3 - 2*v**3 + 0*v**3) - v**3 + 2*v**2 - 2*v**2).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/6556 and -62\/745.\nAnswer: 32780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)*1)\/sqrt(5) + 0 + ((sqrt(156) - 1*(sqrt(156)*1 + sqrt(156))) + sqrt(156))\/sqrt(12).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -197 - -191. Is (58470\/40)\/(c\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 7*r = 6. Suppose 0 = 3*c + 3*c + r. Is -1\/3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**3 - u**2 + u**2 + (-3*u**2 + 2*u**2 + 2*u**2)*(-u - 4 + 4) + 3 - 3 - 2*u**3 - u + u - 8*u**3 + (4*u**2 + 0*u**2 - 5*u**2)*(3*u - u - u).\nAnswer: -10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 402809 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -3*o + 5*o - 42, g = -2*o - 6*o + 196 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 1\/3, -0.0998, -0.3 in descending order.\nAnswer: 3\/5, 1\/3, -0.0998, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*1*3\/((-12)\/(-4))*-1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of 0 + 0*c**4 + 1\/30*c**5 + 0*c**3 - 28*c**2 + 0*c. Let g(a) = -34*a. What is g(j(s))?\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(63\/(-13167)*-66)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 26*t + 3*x - 147 = 0, -98*t + 8 = -95*t + 2*x for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1830, 2023, 2218, 2415, 2614, 2815?\n\"Answer: w**2 + 190*w + 1639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 6*f - 9 = 0, 0 = -40*z + 39*z - 3*f - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-19)\/(-2) + 2)*2. Suppose -m - 7 = -4*p - j, 2*m = -2*p + 12. Suppose -4*n + 16 = -m. Solve 5*b - 5*y = -10, b - y - y = -n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -91872122 divided by -977363\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 2*r + 0*r)*(-16*r + 15 - 18*r + 28*r)*(-2 + 0 + 0).\nAnswer: 24*r**2 - 60*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-22) - 300\/(-165). Which is the third smallest value?  (a) 3  (b) 2\/5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-3\/19))\/(p\/(p\/(p**(-32)*p))))\/((p*p**2)\/p*p**(-12)) assuming p is positive.\nAnswer: p**(801\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-90)\/(-105))\/(-21*(-18)\/63)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-10))\/((-27)\/18).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x + 1. Let k be w(-1). Factor -5*p**4 - p**4 + k*p**4 - 13*p**3 - 12*p**2 - 2*p - 2*p - p**5.\nAnswer: -p*(p + 1)**2*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 = 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 2 + 18 = 2*m, 4*m - 36 = -5*s. Let a be m + 25\/(-5) + 1. Suppose a = -3*g + 6*g - 2*r - 841, 3*g - r - 842 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 8:23 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88 + 5 + 1 + (-15 - (-14 - 10)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32 and 16847201.\nAnswer: 539110432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 6:10 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s. Let h(v) be the third derivative of 2033*v**5\/60 + 376*v**2 - v. What is c(h(p))?\nAnswer: -2033*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54465 is divided by 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 8400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1175344 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, k: 2, d: 1, f: 1, w: 1, b: 7}. What is prob of sequence kd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5654 + 5660. Let b(s) = -s**3 + 8*s**2 - 2*s - 30. What is b(n)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 17*w + 14. Let q be y(-2). Let f be -1*(3 + q + 4). Calculate the greatest common divisor of 52 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -721.48 + 485.2. Round z to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0.02, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 356 - 325. Suppose 0 = -g*f + 75*f. Is -1\/129 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.786 - 3.586. Let h = -383.07 + 375. Let r = h - -8. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.125714020579 - -0.3?\nAnswer: 0.425714020579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7398 and 324.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-1 - (-12)\/(-5))\/(-1) and ((-80)\/55 + 1)*3\/(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 431781899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let y = 289 - 555. Let n = -266.00000219 - y. What is n rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3515 and 229045?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409873643 is divided by 697064.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19)\/5 - (6 + -10).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28 or 53\/2?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -c + 4*c - 5, 0 = 5*c + 25. Suppose w + l*j + 4 = 1, j = -w. Let r = w - 6. What is the closest to 2\/3 in 2, r, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 427*o = -c + 424*o + 206, -2*c + 407 = o. Calculate the lowest common multiple of c and 377.\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 3, -2\/5, 6\/35, -126 in ascending order.\nAnswer: -126, -3, -2\/5, 6\/35, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -118 - -123. Suppose 2*o = -0*o + n*q - 9, o - 2*q = -3. Solve -4*x = -2*s + 4, -2*x = -2*s + 3 + o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 PM and 12:36 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of b**5\/5 - 2*b**2 + 2. Find the second derivative of c(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8 - -16. Let c(s) = s**2 - 13*s + 2. Suppose -10 = -2*g + 18. Let f be c(g). Calculate the highest common factor of f and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**5 + z**5 + 3*z**5)*(-2 - 1 + 2) + 1754*z**5 + 2737*z**5 - 1557*z**5 + 0*z**5 - 3*z**5 + 5*z**5.\nAnswer: 2934*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6332303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 2:51 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 - 10*v - 12. Let q be r(-8). Let k(o) = 5 - 5 - q*o**2 + o**2. Let n(j) = 2*j. Calculate k(n(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (350\/2835)\/(54\/2187).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-1 + sqrt(304)) - sqrt(304))**2*1 - (((sqrt(171) - (1 + sqrt(171))) + 4)*6)**2.\nAnswer: -336*sqrt(19) + 14608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*y - 61 = 19 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 33. Determine o(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000111001111110111 + -101?\nAnswer: 1000111001111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 6 - 11 = 0. Suppose 4*v = 3 - 11. Sort p, 0, v in decreasing order.\nAnswer: p, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-33))\/((-4)\/(-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9 - -16. Suppose -4*w + 41 = -n. Suppose -7*q = -3*q + w. Which is the second biggest value?  (a) -4\/7  (b) 3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4 = -5*q + 39, -c = -q - 1. Suppose a + 2*t - 13 = c*t, 2*a = 3*t + 26. Calculate the highest common factor of 52 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**2 + 8*b + 4. Let c = 5 - 12. Let u = c - -14. What is the tens digit of i(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 12, -37, -152, -333, -580, -893?\n\"Answer: -33*o**2 + 50*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3912?  (a) 2  (b) -1  (c) 0.4  (d) 2\/15  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*k = 2, -2*k = -5*p - 7*k - 5. Does 4 divide p*(-3 - (-14)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1969311 (base 10) to base 3\nAnswer: -10201001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1981, -3893, -5829, -7795, -9797?\n\"Answer: -c**3 - 6*c**2 - 1887*c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/22?  (a) 1  (b) 22  (c) 4\/5  (d) 1\/8  (e) 10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-27)\/(-2))\/(12\/24). Let s = p + -16. Suppose 4*l = 17 - 1. Solve -11 = 5*w - l*q, s = 2*w + w + 2*q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*h - 5*b, 0*b = -4*h + b + 5. Let u be (-80)\/(1\/(3 - h)). Let i be u\/(-15) - 1\/(-3). Solve -3*o - 1 = -2*f, o + 4*f = -i - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.264 and 4057621?\nAnswer: 4057622.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22714 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -113*n**2*x - 2*n*x + 7*x + 18 wrt n?\nAnswer: -226*n*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**3 - h**2 - h + 2. Let z be c(-2). What is the greatest common factor of 40 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106 is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -79 - -69. Let o(x) = -2*x - 7. Let r(h) be the second derivative of 0 - 1\/6*h**3 + 2*h - 2*h**2. What is j*r(i) + 6*o(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 247239399, 247239401, 247239403, 247239405, 247239407, 247239409?\nAnswer: 247239411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -2*c**2 + 2905*c - 17479. Determine n(6).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 14997, 3 in descending order.\nAnswer: 14997, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/24 and 25\/219?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, -1\/4, -8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*k + 58. Suppose -z - k = -h, h + 2*z - 29 = z. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x = 5 - 215. Let t(z) = -42*z - 224. Is t(x) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31656 and 876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192 = -4*v + 164. Which is the third smallest value?  (a) v  (b) 4  (c) -0.2  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 less than -26?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2384, 25, -11, 3, 5, -1, -5 in increasing order.\nAnswer: -2384, -11, -5, -1, 3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 504*j - 26222. Determine u(50).\nAnswer: -1022","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 885215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3151 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13194843.\nAnswer: 3, 593, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p. Let g(f) = -5*f. Let z(n) = -3*g(n) - 8*l(n). Let m be (-1)\/2 + (-15)\/(-6). Let j(d) = -m*d + 4 - 4. Give j(z(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -93\/50 or -18116?\nAnswer: -18116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*k**3 - 31*k**3 + 26*k**2 - 24*k**2 in the form y*k**3 + i + h*k**2 + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22601, 1, 80, -0.5, -2\/13, 2.\nAnswer: -0.5, -2\/13, 1, 2, 80, 22601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*c - 7*c - 6. Suppose -4*k - 18 = -c*j, -3*j + 0*k - 2*k - 5 = 0. Let a = j + 9. Solve 3*u = -5*r + 29, 0*r - 2*u + a = r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (96\/(-18))\/(-8) + (-147)\/(-9). Calculate the highest common divisor of d and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27 in -15, -0.12, 4, -4\/43, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0053792ms to microseconds.\nAnswer: 5.3792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3, -6, -4, -2\/5, 0.14?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 534 by 71918.\nAnswer: 267\/35959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-198)\/77)\/(3\/(-14)). Suppose 3*s = -o + z, -3*s + 24 = -3*o - 0. Suppose 0 = 5*h, 5 = -s*u + 3*h - 0. Is -1\/40 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/4*(1 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*n**4*t + 16043*n**4 + 684249*n**2 + n*t wrt n?\nAnswer: 96*n*t + 385032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -4*w**2. Let c(m) = 8 - 41*m**2 - 8 + 7*m**2 - 19*m**2. Give q(c(y)).\nAnswer: -11236*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, e: 1, h: 1, m: 1, k: 1}. Give prob of sequence kohe.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -2*s + 39, 2*s + 3 = a + 4*s. Let m = a - 3. Suppose 4*z + 3*h - 2 = 8*h, 3*h + m = 4*z. Does 3 = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-27 - (-17 - 2)) + 2 + -7 - 4.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3717 + -3646. Which is the smallest value?  (a) -1  (b) i  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 3*c - 14. Let b be 186\/45 + (-2)\/15. Suppose -4*q + 5*s + 62 = 0, c = b*q - 4*s - 33. Solve -q = -h - 4*d, -3*h - 51 + 22 = -5*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1248422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -45 - -40. Sort -0.4, 3\/8, 5, n.\nAnswer: n, -0.4, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 6. Let s(x) = x. Let i(w) = -w. Let h(v) = -i(v) - 6*s(v). Let o be h(f). Solve -p = -2*p + o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 62*m**2 + 4713*m + 81. Determine q(-76).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*r**2 - 27*r + 6*r + 4*r**2 - 3*r**3 + r**3 to b*r**2 + o*r**3 + m + i*r and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**4 + 5056280*w**3 + 2130490544784*w**2 + 299227396960978976*w - 1196943676016235392 = 0. Calculate w.\nAnswer: -421358, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.8999833 - -1.9. What is p rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2230 = u, -11*d + 7*d = -3*u - 8927. Is 72 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(1*sqrt(2496) - sqrt(2496))*6)\/(-1*(sqrt(192)*-6 - sqrt(192))*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(-1*sqrt(600)) - (-4 + 1*sqrt(5)*1)**2.\nAnswer: -21 + 79*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8*v**3*x**3 + 9*v**3*x**2 + 3*v**3 - 2*v**2*x**3 + v*x + 129*x**4 + 89*x**2 wrt x.\nAnswer: 48*v**3 - 12*v**2 + 3096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times 0.0083\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of 16*d**2 + 0 + 137\/12*d**4 + 0*d - 5\/2*d**3. Is a(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -33826 and 5323357.\nAnswer: 5289531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/3 - 16\/(-12). Does 5 divide (-4)\/((-6)\/(-10) - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-15)\/10)\/((-3)\/794) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -10  (b) -3  (c) 3\/4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3344581 litres?\nAnswer: 334.4581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2, 17, 5 in increasing order.\nAnswer: 2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 PM and 7:56 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4*t - 2*d + 4, -5*t = -2*d - 2. What is the units digit of t\/12*-1 + (-248)\/(-48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 3*s + 16, 5*s + 10 = -4*w + 8*w. Suppose -3*t - 970 = -4*d, -5*t + 54 - 1264 = -w*d. Let o = d + -153. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wws. What is prob of sequence wws?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.62037?  (a) 3\/2  (b) 0.5  (c) 0.4  (d) 1.29  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24233?\nAnswer: 11, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*d - 5*v + 37, -5*d - 2*v = -54. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 849*s + 40379 = -2727*s - 6109 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1309243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9645231 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26081 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25*((-552)\/10)\/6. Let l = p - -98. Let k be l\/(-20) + (-8)\/(-20). Solve -4*z = -k*z - 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 911238.9mm to kilometers.\nAnswer: 0.9112389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 187184111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1624 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12053546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 54827 by -7.\nAnswer: -54827\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (d**2 - 3032 + 6064 - 3038 - d**2 + 35*d**3)*(3*d + 4 - 4) as k*d**2 + a*d + f + z*d**3 + p*d**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*o**4 - 5*o**4 + 5*o**4)*(-2 + 3 + 2)*(-3 + 0 - 4).\nAnswer: 147*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 129535?\nAnswer: 5, 7, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-14)\/91 - 786\/(-39))*21\/6. Calculate the highest common factor of 380 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2880 < -20158\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m + 111 = 155. Solve -i + a - 6 = 0, i + 5*a = m*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-4 + (-8 - (-6 + 3)) + 25).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1575, 30, -184 in decreasing order.\nAnswer: 30, -184, -1575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29165 is divided by 429?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*z**3 + 211*z**2 - 103*z**2 - 110*z**2 - z**3 - 10 wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from uxuuxxx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -44023 smaller than -44026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -58*d - 1072. Let j be i(-19). Solve 4*g - j = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -181 + 63 + 62 - 3418*a + 56.\nAnswer: -3418*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 8) + 1 + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2258.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s\/s**(-7)))\/s)\/(s\/(s\/s**(-3))))\/(s**(2\/5))**(-46)*(s**(-10)*s\/(s*s\/(s*(s*s*s**(1\/6))\/s)))**23 assuming s is positive.\nAnswer: s**(-5663\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 9*g + 11 = -0*z - 13*g, -2*z - 2*g - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 12827366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -3304?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11000110101101111111100 (base 2) to base 3.\nAnswer: 110020211020211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 divided by 7678.\nAnswer: 47\/7678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -713\/9  (b) -0.1  (c) -5  (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 24 + 0 = 0. Let m be 7\/(-98)*(-2 + w). Let v = -25\/24 + 3\/8. Is v <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(72)\/sqrt(6) + ((sqrt(12) - sqrt(432) - sqrt(3)) + sqrt(3) - sqrt(3)) + (sqrt(144)\/sqrt(4)*3)\/((sqrt(72) - (sqrt(72)*-2 - sqrt(72)))\/sqrt(6)).\nAnswer: -33*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - 4. Suppose -51*h = -24*h + 378. Find the common denominator of o\/(-3 - 2) + 57\/h and 57\/88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*w + 203 - 303 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*h = -91, 6*p = 3*p + 2*h + 57. Let o = p + -15. Suppose -o*q + 42 = -q. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1860\/17 at least as big as -108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*x + 58*x - 1407 = -60*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -2*o - o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3680568?\nAnswer: 2, 3, 17, 31, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/6 + (98\/6 - -6)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*t - 4*t + t + (1 - 1 - 3*t)*(-1 + 3 - 4) - 1 + 1 - 3*t)*(81 + 22 + 63 - 50) in the form s + v*t and give v.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.3368 and -5.1?\nAnswer: 3.7632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*c**3 - 2*c**3 + 3*c**3 - 4*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43 - 44.7. Let f = 2.2 + o. Suppose -4*p - 2*m - 8 = 0, m - 8 = 3*p - p. Sort f, 5, p in decreasing order.\nAnswer: 5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n*n**(-26))\/(n**(-34)*n)*n**(5\/6)*n*n**(-2\/21))**(-34) assuming n is positive.\nAnswer: n**(-8381\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -4*i**3 + 9*i**2 + 6*i + 4. Let y(f) = 3*f**3 - 8*f**2 - 7*f - 3. Let d(s) = 3*y(s) + 2*z(s). Suppose 6*u = 5*u + 8. Is d(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3979*q - 3061*q = -15606 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -11. Suppose c - 5*l = 2 - 4, 0 = 2*c + 3*l - 9. Suppose -c*y + 4 = 1. Sort y, -1, w in decreasing order.\nAnswer: y, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**2. Let q(b) = 2*b + 70. Determine o(q(n)).\nAnswer: -8*n**2 - 560*n - 9800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 times 4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1310.99 + 58457531.\nAnswer: 58458841.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 62699, 250767, 564205, 1003013, 1567191?\nAnswer: 2256739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -4, -232 in increasing order.\nAnswer: -232, -4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127796 is divided by 199?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j - 3. Let h be z(-6). Let o = -4 - h. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k = 101 + 25. Is k a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 + 16. Factor 3*w - y*w**3 - 5*w + 11*w**2 - 7*w**2.\nAnswer: -2*w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l. Suppose 7*j = 2*j + 15. Let c(r) = 3 - 4*r - j. What is y(c(s))?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -d + 15. Let t = d - 25. Suppose -m = -29 + t. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-15)\/(-135)*-3)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-13)\/5 - ((-85374)\/85)\/(-31)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 8*a**2 - 3*a - 15. Let k be q(7). Let s = 46 + -20. Calculate the greatest common divisor of k and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 14  (b) -0.3  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 215218.7 grams?\nAnswer: 215218700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -107 + -702?\nAnswer: -809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-155*b**2 + 136128*b - 136128*b)*(-2 - 1 - 6).\nAnswer: 1395*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-12)*g*(g\/((g**4\/g)\/g*g))\/g*(g\/((g\/g**(-3)*g)\/g))\/g**(-4\/9))**(-2\/49) assuming g is positive.\nAnswer: g**(298\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 370\/11 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 7) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**1)**(-14)\/(n*n**0)**(-23\/2) assuming n is positive.\nAnswer: n**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 150*o + 609 = -141 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 12. Suppose -20 = -7*y + r*y. What is the remainder when y is divided by 6\/(-27) - 40\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -16001*n**3 + 2*n*y**3 + 12*n*y**2 + 4*y**3 + 894*y**2 - 118*y - 1 wrt n.\nAnswer: -48003*n**2 + 2*y**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6424 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20502 + -14389. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -9*i**5\/5 - 3*i**3 - 7. Find the third derivative of m(z) wrt z.\nAnswer: -216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - -42) + -86 - (2 + -1 + 12)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -31*b**2 + 3. Let x(v) = -63*v**2 + 7. Give -7*c(i) + 3*x(i).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q**3 - 15*q**3 + 8*q**3)*(-110 + 16 - 12).\nAnswer: 1060*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5613224 and 176?\nAnswer: 123490928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 603.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -3*p**2 - 11*p + 8. Let h be c(-4). Let a(s) = 1. Let r(y) = y**3 - 5*y**2 + 4*y + 6. Let u(g) = 5*a(g) - r(g). What is u(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 482909740 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -4624\/45609?\nAnswer: -4624\/45609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*h**4 - 93*h**3 + 271*h**2 + 273*h - 98.\nAnswer: (h - 7)**2*(h + 1)*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (6*(sqrt(152) - (sqrt(152) - (sqrt(152)*-1 - sqrt(152) - sqrt(152)) - sqrt(152))*6))\/(sqrt(648) - 5*-3*sqrt(648)).\nAnswer: -17*sqrt(19)\/24 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is -3103 plus -1?\nAnswer: -3104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -a8533ba?\nAnswer: -a8533c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143030671.\nAnswer: 7, 97, 313, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of f**7\/210 + 4*f**6\/15 + 181*f**2. Factor x(n).\nAnswer: n**3*(n + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 372 - 373.91. Let t = -0.54 - m. Round t to one decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/126?  (a) -10  (b) -5  (c) 4\/3  (d) 143  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 624199633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3277 - 819 - 818 - 825 + 5*v**2 - 815.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000221182 rounded to 7 decimal places?\nAnswer: 0.0000221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 706472338 a multiple of 2167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**2 - 12*m - 3. Let b be l(12). Let i(t) = -5*t**2 + 2*t - 4. Let j be i(b). What are the prime factors of j*(-1)\/(-2)*-4?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 4*m = -152. Suppose -2*r - 6 + m = 0. Calculate the remainder when -13 - (12 + 387\/(-3)) is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/5 > -6736?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m**4\/3 - 622*m**3\/3 + 514*m**2\/3 + 1462*m\/3 + 116 = 0. Calculate m.\nAnswer: -29, -1, -3\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 32 - 18. Suppose -4*y = -3*f - 95, -4*f = -2*y + y + r. Let o = -6 + y. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -47*f + 258. Solve -f*u = 16 + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*l - 296, 4*l - 7*l = -3*p + 183. Which is greater: 170\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -100 or -2945?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - x - 3)*(x**2 + 3*x**2 - 7*x**2) - 2*x**3 - 8*x**2 + 5*x**2 + x**2 in the form z*x + k*x**3 + d*x**2 + q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 49727*w**2 - 547*w + 233025918 wrt w.\nAnswer: 99454*w - 547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*l - 6 = -30*l. Suppose 2172 - 418 = l*n. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 18 = 8, 2*r + 5*k - 10343 = 0. Is r a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4968, -8199, -11430, -14661, -17892?\nAnswer: -21123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.8215 + -0.4708. What is p rounded to two dps?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -10*t**3 + 7*t**2 + 564*t. Let o(u) = -4*u**3 + 3*u**2 + 281*u. Determine 7*o(l) - 3*w(l).\nAnswer: 2*l**3 + 275*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2064299 rounded to the nearest one thousand?\nAnswer: -2064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2 - 3. Let s = -4 - -9. Calculate the remainder when 22 is divided by x\/s*8*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20 and 86080?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in six fifths of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + 1. Let a be 3*(-1)\/s*-8. Solve 0 = 5*r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 9 = -5*u. Let a be -8*(-45)\/72 + -5. Let x be a*(-1)\/(u + -1). Solve 3*k - k = x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1216 (base 16) to base 15.\nAnswer: 158a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + (-2896)\/208 + (-4)\/(-2) + -3.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -46585.\nAnswer: -232925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 4*h. Let k(n) = 92*n**2 - 72. Determine k(v(m)).\nAnswer: 1472*m**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4078*i + 21366 + 100974 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bmmissbzzzzsgbz. What is prob of sequence ss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 991860071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 76 + -38. Let n(f) = -f + j + 2*f**3 - 6 - 3*f**3. Let w be n(0). Calculate the greatest common divisor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, -18, -951 in descending order.\nAnswer: 1, -5, -18, -951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v*v**(-2)\/v*v*v)*v*v)\/v)\/(v*(v\/(v**(-6)\/v*v))\/v*v))\/(v**(-7)*(v\/(v*v*v*v*v\/(v*v\/v**1)*v*v*v*v))\/v) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2715 + -2715. Is -1\/2695 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6596 is divided by 1092.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of b*d**2*v**3 - b*d**2 - b*v**3 + 3*b*v**2 + 16*b*v - d**2 + 119*v**3 wrt v?\nAnswer: 6*b*d**2 - 6*b + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24597800.\nAnswer: 2, 5, 29, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (4*((sqrt(76) + 2*2*sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76))\/sqrt(2))\/(4*(sqrt(2) - -6*(sqrt(8)\/sqrt(4) - sqrt(2)))*-5).\nAnswer: -6*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i + 78 = -432. Let j = -107 - -139. Solve -j*t + 2 = -i*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15.025, -2\/33, -7, 1 in increasing order.\nAnswer: -15.025, -7, -2\/33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 244 - 109. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.9 + 2.1. Let v = -6 + 32\/5. What is the nearest to 1 in v, a, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 173.40979 + -1901.29549. Let o = 1797.885865 + q. Let f = o + -70. What is f rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**24\/k)\/((k\/(k**(6\/7)\/k))\/k)*(k**(4\/9))**(-40))**(-2) assuming k is positive.\nAnswer: k**(-640\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/x**(-12\/7))\/(x\/x**0*x))\/(x**(-4)\/x**(-3\/13)) assuming x is positive.\nAnswer: x**(408\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:15 AM and 3:07 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {j: 7, v: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -28324*x**4 + 56648*x**4 + 54*x**2 + 13*x**3 - 3 - 28323*x**4 as c + a*x**4 + i*x**2 + z*x**3 + s*x and give i.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by 4060.\nAnswer: 2\/1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 4278*n**2 + 10*n - 15. Is p(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12  (b) 0.01  (c) 2\/3  (d) -3\/2  (e) -1515  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -2\/7, 1 in ascending order.\nAnswer: -2\/7, 1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6\/7 in -0.5, 1\/2, 12, 2\/9, -1\/5587?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/132 and -29\/1616.\nAnswer: 53328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9491 is divided by 113.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 11*l + 192. Let j be a(-22). Let p be (-375)\/j + (-4)\/(-8). Solve -9*z + p = -5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -11*p**2 + 12*p - 5. Let z(m) = 2*m - 1. Calculate d(b) - 3*z(b).\nAnswer: -11*b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*o + 78322142 = o - 6*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -69 + -5af?\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -274920812 rounded to the nearest 1000000?\nAnswer: -275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 8, 1, 4 in decreasing order.\nAnswer: 8, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -4*n + 12, 4*c = -3*n - 11 + 42. Suppose 5*x - l - 15 = 0, -5*x + 18 = -2*l + 3. Solve 0*z + 11 = 4*j - z, -9 = x*j + n*z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -821, 4, -4, -16.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**4 + 0*r**4 + 4*r**4)*(-4 - 4 + 1) - 56*r**4 + 1294 - 1294.\nAnswer: -70*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 21*g**3 + 285*g**2 + 534*g - 48. Let z(y) = 4*y**3 + 57*y**2 + 107*y - 9. Let j(h) = 3*x(h) - 16*z(h). Factor j(w).\nAnswer: -w*(w + 2)*(w + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 5*q - 3. Let b be j(5). Suppose p + p = -2*z + b, p - 2*z - 5 = 0. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2160350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -16, -20, 0, 56, 160, 324?\n\"Answer: 2*k**3 - 18*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3 = 1. Let z be 6 - 2\/(o + 2). Suppose z*h - 192 = -4*t, 6*h + 3*t = h + 250. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n**2 - 41*n + 19. Let r be j(10). Let k(b) be the third derivative of -b**4\/24 + 19*b**3\/3 + 2*b**2. What are the prime factors of k(r)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*z + 62*z = 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114932 - 7*k**2 + 114932.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*w + 3 + 24*w - 14*w + 2*w**3 - 2 - 3.\nAnswer: 2*w**3 - 45*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -423 + 895. Suppose 7*u - c = 788. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 4*d + 37 = 0, 7*d - 2*d + 25 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-190)\/4)\/((-7425)\/(-660)*2\/(-45)*5).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 76815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n = 0. Suppose -8 = -4*c - n*c. Suppose 5*k = -d + 4, -3*k + 6*d - 16 = c*d. Solve x + k*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37.4, 2, -4.7 in decreasing order.\nAnswer: 2, -4.7, -37.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c + 4*c - 4*c)*(3*c - 2*c - 2*c) + 0*c**2 - c**2 + 2*c**2 + 27 - 11 - 17 - 2*c**2.\nAnswer: -4*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 6*f - 20. Suppose 0 = -f*o - 4*m + 16, -2*o + 4*m = -o + 16. Let j(c) be the first derivative of -c**2\/2 - 3*c + 7. Calculate j(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/306 and -49\/2622412.\nAnswer: 401229036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1346715 or 1346756?\nAnswer: 1346715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 462 is divided by 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -191 divided by 172\nAnswer: -191\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (840*n**2 - 162*n**3 - 840*n**2)*(13*n**2 + 62*n**2 - 43*n**2) + 0*n**2 - n**5 + 0*n**2.\nAnswer: -5185*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/2  (b) -1\/2  (c) 5  (d) 61\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9.03 + 9.13. Let q = 0.96 - -0.34. Let z = -1 + q. Sort 2, z, s, -1 in ascending order.\nAnswer: -1, s, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 9. Let c be b(0). Suppose -3*u = -4*p + c - 33, u - 3*p - 13 = 0. Calculate the highest common factor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -48  (b) -11  (c) -69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 973 - 979. Let k(q) = -13*q + 46. Let t(x) = -4*x - 3 + 3*x + 4. Let s(g) = i*t(g) + k(g). Differentiate s(l) with respect to l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.5, 28, -2\/317?\nAnswer: -2\/317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 59 + 1800\/(-100) + -29.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2 + 0 - 2*h**2 - 7*h + 3*h. Let j be o(-4). Is -15 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 150 - 3. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -17*s*z**5 - 7*s*z**3 + s*z - 5*z**5 + 44*z**2 wrt z.\nAnswer: -1020*s*z**2 - 42*s - 300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -6*k + 2. Suppose -5*t + 4*s = -52, -k*t = -5*t + 4*s + 28. Find the common denominator of ((-1)\/t)\/(1\/103) and 79\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z**3 + 0*z + 0*z + (0*z**2 - 4*z**2 - 22*z**2)*(z + 3 - 3) to the form q*z**3 + n*z**2 + l*z + v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 180090968.6 rounded to the nearest 1000000?\nAnswer: 180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -383 + -5?\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -2\/5, 57.44, -55\/19, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3988 + 6951. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: -52 - ((4 - 11) + -9 - -11)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36913 = 1362*i - 21653 for i.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 5:30 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -15\/8  (b) 4125.8  (c) -5  (d) 0  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 704 a factor of 10127977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 3 - 2)*(0*v + 15*v - 3*v) as u + k*v and give k.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 0 + 16 - 3\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 949776?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-4\/9)\/s**(-2))\/(s*s**0*s**4))\/((s*(s*s**4*s)\/s)**8)**2 assuming s is positive.\nAnswer: s**(-895\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2522 greater than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2220100022102 + 110?\nAnswer: 2220100022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 127\/936 - -9\/104. What is the closest to -0.1 in -1, -3, 0.1, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -3*u**5\/110 + 23*u**4\/11 + 47*u**3\/11 + 759*u. Suppose n(f) = 0. Calculate f.\nAnswer: -1, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182*d = 352*d + 4806 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v + 15 + 7 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (84\/14)\/(2\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = j + 14, 2*d - 5*j = 4*d - 2. Let f be (0\/1 + d)\/(-1). Let o be (2\/f)\/((-4)\/(-8)). Solve -2*x - o = -5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*p = 156, -14 = -n - 5*p + 133. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*j**4 + 26*j*k + k + 128 wrt j.\nAnswer: 24*j**3 + 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-267 - -8)\/(-2 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.96 + -0.04. Let r = 117 + -119. Sort j, 4, r in descending order.\nAnswer: 4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/21804894 and 29\/2476?\nAnswer: 43609788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -12*5\/(-40)*2\/(-7). Suppose 2*k - 1 = l, -5*k = -2*k + l + 6. Is k < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 55*r**4 + 230*r**3 + 90*r**2 - 1690*r + 650. Let m(t) = 3*t**4 - t**3 - t**2 - t + 1. Let g(o) = 10*m(o) - p(o). Determine l, given that g(l) = 0.\nAnswer: -8, -4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 390.6 take away -6333183?\nAnswer: 6333573.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 490328?\nAnswer: 2, 61291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/18 + 8\/36. Let n be -1 - -1000003 - (j - -2). Round n to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 59676 divided by 3\nAnswer: 19892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2344312344 + 5?\nAnswer: -2344312335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/37))**37 assuming b is positive.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f**2. Let n(h) = -93*h - 92*h + 16*h**2 + 290*h - 62*h. What is n(k(g))?\nAnswer: 64*g**4 - 86*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 472486 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -23, 1, 3, 0 in decreasing order.\nAnswer: 6, 3, 1, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 12:23 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/4)\/((w*w**(2\/23))\/w))\/(((w*w\/(w\/((w\/((w\/(w*w**(-2\/13)\/w*w))\/w)*w)\/w)))\/w)\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(-12019\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1341102097?\nAnswer: 1489, 900673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 3*b + 23. Determine f(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 939273366.\nAnswer: 2, 3, 156545561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.071 + 0.159. Let u = 728.43 - 725. Let j = v - u. What is j rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.074121044 to three dps.\nAnswer: -0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y + 6889 = 1273. Is 107 a factor of y\/(-20)*(-585)\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.6959714 to 2 decimal places.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k = 19*k - 7*k - 405. Calculate the highest common factor of 855 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lqql when four letters picked without replacement from qqllrllllllllrr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + l - 53 = 5*u, 2*l + 47 = -3*u. Let s = l - -31. Let m be -36*(1 - s\/8). Calculate the highest common factor of 9 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - b**3 - 2*b + 347*b**2 - 347*b**2 - 19 to the form g*b**2 + k*b**3 + u + v*b and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - v + 3)*(v + v - 3*v) + (6*v - 45*v - 10*v)*(-644 + 644 + 7*v).\nAnswer: -342*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12374 (base 8) in base 7?\nAnswer: 21443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -733*h**5 + 701*h**2 wrt h?\nAnswer: -43980*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 + 2*b - 9. Let z be a(-5). Calculate the highest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, n: 7, r: 4, v: 3, x: 2}. Give prob of sequence vx.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - -4. Suppose 3*r - 8 = w. Find the second derivative of -8*b**5 - b + 11*b**r + 2*b wrt b.\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -105, -759, -1957, -3699, -5985?\n\"Answer: -272*l**2 + 162*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -5*a**4 + 78*a**3 + 2*a**2 - 87*a - 12. Let l(i) = -24*i**4 + 392*i**3 + 10*i**2 - 434*i - 56. Let q(j) = -6*l(j) + 28*t(j). Factor q(f).\nAnswer: 4*f*(f - 42)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/930902 and 27\/46.\nAnswer: 930902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 108*(-8)\/(-24) - 22\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (84\/17 - (15 + -69 - -60))*(-2)\/9\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 359?  (a) -13  (b) 0.1  (c) 1\/2  (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.1 - 12.9. Let c = z + -14. Let r = 30.4 + c. Which is smaller: r or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-14)\/(-4) - (-3)\/(-6). Suppose -13*h + 12*h + j = 0. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4861.193 decades to centuries.\nAnswer: 486.1193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/8*-1*24\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9751\/(-14)*(-2)\/13*-1. Suppose 112 = -q - 5*c, 2*c = q - 2*c + 103. Let g = q - d. What is the second biggest value in 0, -4, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 * -56\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1)*h)\/h)\/h**(-2\/11)*(h**(-1)\/h*h)\/h**(-6) assuming h is positive.\nAnswer: h**(46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*2\/40*-25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 190 + 0 - (-18)\/12*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b + 30?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8319747?\nAnswer: 3, 2773249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.3 - -1.6. Sort v, 0.5, -5 in descending order.\nAnswer: 0.5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 + -45332?\nAnswer: -45322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/4039305 and -83\/1850?\nAnswer: 1494542850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x = -11*x - 45 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 11:10 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -106, -1, 3 in ascending order.\nAnswer: -106, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -70795654 divided by 6\nAnswer: -35397827\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -76*h**2 - 7*h - 3. Let j(m) = -76*m**2 - 5*m - 2. Give -3*j(d) + 2*n(d).\nAnswer: 76*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*q**5 - 1068*q**4 + 6*q**3 + 2585881*q**2.\nAnswer: 300*q**2 - 25632*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8 times -14413.23\nAnswer: -115305.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 543.686kg to nanograms.\nAnswer: 543686000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 13*p**2 + 28*p - 21. Let i be n(-9). Suppose -46*a + 29*a = -i. Sort a, 0, 10 in descending order.\nAnswer: 10, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**2 + 8*j - 5. Let b be r(7). Suppose -m - y = -13, -m - b*y = 3*y - 5. What is the highest common factor of 30 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(24\/32)*-30*(-3)\/24?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7629597 millilitres to litres.\nAnswer: 0.0007629597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 56 + -24. What is the greatest common divisor of 288 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 8*i**2 - 17*i + 1. Calculate g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2362, -2364, -2366?\n\"Answer: -2*n - 2360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of w**5\/20 + w**4\/12 - 7*w**3\/6 - 393*w**2. Determine v(-5).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(((-7)\/2)\/7). Let y(h) = h + 3. What is the units digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the second derivative of 25*k**4\/18 - 40*k**3\/9 + 16*k**2\/3 - 8*k. Suppose b(t) = 0. Calculate t.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - (-2 + (1 - 1) + 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -200 (base 5) to base 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j + 4. Let o be -7 - (-4)\/((-4)\/1). Is 5 a factor of t(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/3)*o*o*o\/o**5*o*o*o**(2\/13)\/(o*o**(1\/3))*(o**(2\/7)\/(o\/(o*o**5\/o)))**6 assuming o is positive.\nAnswer: o**(2263\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/9, -0.5, -12, 0.2, 75068, 2 in decreasing order.\nAnswer: 75068, 2, 2\/9, 0.2, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, o: 3, g: 3, c: 1, s: 6}. Give prob of picking 2 s.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the second derivative of -62*a**6\/15 - a**4\/4 + 91*a**2\/2 - 283*a. Find the third derivative of t(b) wrt b.\nAnswer: -2976*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2347.\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1965)\/(-2620))\/(6\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = -15, -4*b + 5*p = 1 - 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of -g**6\/75 - g**5\/50 + g**4\/10 + g**3\/15 - 2*g**2\/5 - 4*g. What is y in v(y) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 2*t + 0*t)*(-13*t + 9*t - 7*t)*(-17 + 7 + 7)*(t + 0*t - 2*t).\nAnswer: -99*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*q + 141 = 0, 2*b - 52 = -2*q - 2. Let z(a) = 2*a - 32. Let s be z(14). Let o = b + s. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0320724ng to micrograms.\nAnswer: 0.0000320724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) - (sqrt(1584) + 3*sqrt(1584)) - (sqrt(704) - 3*sqrt(704) - sqrt(704)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 108778123 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15 - 4. Let f = -32 + 64. Suppose -4*q + 56 = -f. Calculate the greatest common factor of g and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11589637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(17\/34*(-1)\/(-1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3\/4*4\/34*332\/(-249). Which is the third smallest value?  (a) h  (b) -3  (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*c - 85218 = 4*c - 615402. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 331*z - 21006 + 24647 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11111 (base 2) in base 16?\nAnswer: -1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 874603300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1681 by -94.\nAnswer: 1681\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 449670468.\nAnswer: 2, 3, 13, 17, 13043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105550 and 3650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9062780 and 1110.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-71 + 0)\/((-1401)\/(-78) - 18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 294 and 373380.\nAnswer: 373380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1432641 (base 8) to base 14.\nAnswer: a8437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*l*s**2*z**2 - l*s**2*z + 3*l*s**2 + 2*l*s*z**2 - 4*l*s*z - 2*l - 5 wrt s?\nAnswer: 6*l*z**2 - 2*l*z + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 915.4691486 to 2 dps.\nAnswer: 915.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -241*n - 8429. Calculate j(-35).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 5) + 4 - -1 - 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 + 3*t - 5*t + 2*t. Let x(v) = 0*v - v - 2*v + 2*v. Calculate g(x(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 69 = z. Which is the smallest value?  (a) -1\/7  (b) z  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(72) + sqrt(8)\/sqrt(4) + -1 + -3)**2.\nAnswer: 40*sqrt(2) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 688*b**4 + 2*b - 175.\nAnswer: 2752*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, x: 2, u: 1, w: 3, g: 1, f: 1}. What is prob of picking 1 w, 1 u, 1 x, and 1 g?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 5*s + 164. Let r(n) = 5*n + 83. Let k be r(-11). Let f be h(k). What is the greatest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1100100000000011 - -101?\nAnswer: 1100100000001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 36359*i. Let p(b) = 6*b**2. Determine p(q(j)).\nAnswer: 7931861286*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 87597635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 divided by 28?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and ((-4)\/3)\/(3\/((-495)\/10))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -351.19 + 354. Let p = n - -0.19. Let q = 0 + -3. Sort p, 1, q in decreasing order.\nAnswer: p, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -32\/37 = 12857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is 119449727 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 2 = 2*i, -5*i - 2*n = -5*n - 5. Let d be (-40)\/6*(-360)\/80. Let u = -29 + d. Calculate the greatest common divisor of i and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 50*v**2 + 61*v - 194. What is the hundreds digit of s(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, 5\/4, -3 in decreasing order.\nAnswer: 35, 5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -7800005*l**3\/6 - 5*l**2 + 36*l + 1. Let s be r(-2). Round s to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l = 22001 + -21850. Calculate the remainder when 781 is divided by l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -309.66 or 4889?\nAnswer: 4889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*m + 7*m**2 - 3*m**2 - 11*m)*(2*m**2 + 3*m - 3*m).\nAnswer: 8*m**4 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1834, 1992, 2260, 2638, 3126, 3724?\n\"Answer: 55*m**2 - 7*m + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**3 + 2*i**2 + 2*i + 1. Suppose r - 5 = -6. Let d be g(r). Let x = -1397 + 1409. Solve -d = -4*v + x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -32, -4, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2489, 4.1372, -0.2, 1, 2\/15 in descending order.\nAnswer: 2489, 4.1372, 1, 2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put together 17459 and 7.1.\nAnswer: 17466.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -78219 or -78218?\nAnswer: -78218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1580 divided by -395\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 53*m + 324 = 51*m. Let p(i) = -i**2 - i + 7. Let o(c) = -c**2 - 2*c + 13. Calculate m*o(n) - 5*p(n).\nAnswer: 2*n**2 - n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*d - 180*d + 11*d + 8145740800 = 0. Round d to the nearest 100000.\nAnswer: 26800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5\/917 - -94501\/9170. Let t = -212416\/5 - -41737. Let x = t + 740. What is the common denominator of x and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k + 16. Suppose 6*w = 4*w + 54. Calculate the remainder when w is divided by d(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*m - 2*s + 6, -112*m + 5*s + 19 = -110*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + 386c?\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44562 by -3.\nAnswer: 14854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204688 is divided by 25561?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11815, -11798, -11769, -11722, -11651, -11550?\nAnswer: -11413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 758 + -4?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 2950.0888 to the nearest integer.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -1.9. Let o = -766557 - -766551. What is the second smallest value in 1, o, -2\/5, a?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 1.1, 0.1, 0, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w + 6, 2*d - w = -3*w + 36. What is the remainder when 79 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5)\/(-20) + (-715)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86959182.\nAnswer: 2, 3, 17, 23, 101, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*b**2 + 10*b**2 - 47*b - 7*b**2 - 2*b**2 in the form o*b + m + n*b**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/5  (b) 48  (c) -174  (d) 0.238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 263 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 5*s = -1015, -h + 113 + 95 = -4*s. Let u = h + -191. What is the remainder when 51 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3346 and 0.12349.\nAnswer: -413.19754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0 - 1 - 5*i**3 as q*i + b*i**3 + h + l*i**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1140 - -1515. What is the greatest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -1 + -17 + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 3*d - 1. Let v be l(1). Suppose -8 + 4 = -v*w. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 310291*x**3 - 39671*x?\nAnswer: 1861746*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11201020 - -2?\nAnswer: 11201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 2*n - 14. Let w be g(8). Suppose 0 = o, 0 = -3*y - w*o + 4*o + 90. Let q be (-1)\/(-3)*y\/5. Solve 0 = -3*l + r - 8, q*l - l + 8 = 3*r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = f**3 - 11*f**2 - f + 10. Let i be t(11). Is i\/3 + (-640)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 334, 929, 1920, 3307, 5090, 7269?\n\"Answer: 198*i**2 + i + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + r + 2, m - 21 = 5*r - 0*r. Suppose -4*x - 1 = o - 5*x, 2*o + m = x. Let l = 19 + o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (20 - 63)\/((-2)\/147*(-42)\/(-28)) is divided by 106.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 59466 and 12?\nAnswer: 118932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (30\/201)\/(8 - 121\/22). Sort 5, w, 0.02, -2\/11, 0 in ascending order.\nAnswer: -2\/11, 0, 0.02, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-638)\/4)\/(5\/(-10)). What is the highest common factor of 29 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 4, p: 5, d: 4, k: 1, e: 2, x: 2}. Give prob of sequence ed.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Put -120, -4, -3\/5 in increasing order.\nAnswer: -120, -4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-10)*10\/(15\/(-3))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47.751 - 47.3. Let c = -0.151 + w. What is c rounded to 2 dps?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -20, -2, 1613, -10 in descending order.\nAnswer: 1613, 0, -2, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -4*j + 34. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -43215111 (base 6) to base 5\nAnswer: -311341213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -4*a. Let j(n) be the second derivative of n**6\/360 - n**4\/6 - 4*n. Let m(f) be the third derivative of j(f). Give -5*m(u) - 3*r(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - -8 - -12) + 2 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 0 - 4*w + 1\/6*w**3 + 5*w**2. Let j be l(-6). Solve 10 - 26 = -j*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 35447130?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (-4 - -7 - 6) - (-1 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1711.28 - 1725.9519. Round a to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjyjy. Give prob of sequence yjyj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93*-7369.\nAnswer: -685317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61*a**2 + 2*a**2 - 24*a**2.\nAnswer: 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1601, 4, -1, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, -1, -1601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24798596 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2858 - -2857. Let f = -2.7 + 3. Let x = 0.1 + f. Which is the closest to -1\/2?  (a) 1\/3  (b) j  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 4*k - 624, 43 - 517 = -3*m - 5*k. Suppose 0 = -4*f + m + 59. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115 = 7*a - 2*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133057.\nAnswer: 19, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392 = -100*b + 2192. What is the remainder when 47 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**2\/10 - 3*t\/2 = 0. Calculate t.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 2\/5  (c) -0.494  (d) -3  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71\/34 + -10\/17. Find o such that -3\/2*o**2 + m*o + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kff when three letters picked without replacement from kfbkfffbsppkkpsbsfb.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/56)\/(890\/58562)*-5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (8\/44 - 80\/(-44))*(2 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + (2*sqrt(135))\/(-6*sqrt(20)\/sqrt(4)).\nAnswer: -sqrt(3) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 12 + 7)*(28*o**2 + 16*o**2 + 0*o**2) + 3*o**2 - 6*o**2 + o**2.\nAnswer: 966*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 - 34*g**2 + 18.\nAnswer: -34*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 11*q. Let a be r(6). Suppose -4*i + a = 14. Let x = 6 - i. Put -5, 2, x in decreasing order.\nAnswer: 2, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.9?  (a) 0.4  (b) -0.6  (c) 1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 2*a = 0. Let w = 149\/102 - -2\/51. Factor -w*s**3 - 3\/2*s**2 + a - 1\/2*s - 1\/2*s**4.\nAnswer: -s*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) -14  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*s - 9. Let m(z) = z + 7. Let t be m(s). Determine o, given that -38\/9*o**t + 4\/9*o**4 + 6 + 14*o**2 - 18*o = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 b when three letters picked without replacement from stbsssbvtyvvhvt?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 8:13 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 325 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 - 268*w + 4480.\nAnswer: 4*(w - 35)*(w - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 137 + -133. Sort 1, 5, 3, u in decreasing order.\nAnswer: 5, u, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 3 = -m, 2*m - 1 = m - f. Suppose -m*b = -3*s + 1 + 1, 4*s - 4*b + 4 = 0. Suppose 12 = w + s. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -4*k + 1. Suppose 4*o = 3*g - 9, 5*o = -g + o - 13. What is d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286259507533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*s - 618. Let n = s + -112. Let a = 171 - n. What are the prime factors of a?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.06 - -0.06. Sort 5, -15, 0.1, u.\nAnswer: -15, u, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 832 + 52731 + 36330 = -3118*b - 62889 for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 30857713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 7*12\/(-28)*(-7)\/3. Suppose 2*k + 4*f = t*k + 41, 6 = 2*k + 4*f. Sort k, -3, 3 in increasing order.\nAnswer: k, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r - 6*r - 4 = 0. Let d(j) = 405*j + 4. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75917, 151829, 227741?\nAnswer: 303653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/6*(-252)\/(-8). Suppose 3*k - 6*d = -5*d + 20, -5*d = -3*k + 28. Calculate the greatest common factor of p and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 256, 254, 260, 280, 320, 386, 484?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13301*s + 7016 = 13200*s - 3690 for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/28*2)\/((-2)\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -0.0961?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 less than 940?\nAnswer: 939.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24190 and 1301540?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -179 + 183. Suppose -4*j + o = 5*n - 4*n, -n = 5*j - 4. Does -7\/10 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40600 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 25. Suppose o = 4*k + 80. Let f = k + 26. Calculate the highest common divisor of f and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/11, -6\/13, 1277, 2\/13, 4, 0 in descending order.\nAnswer: 1277, 4, 2\/13, 1\/11, 0, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 6291*l + 113949. Give u(-18).\nAnswer: 711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-786)\/(-39) + (-2)\/13. Suppose 1 = -d + b. Suppose -d = -t - 17. Solve 4 = t*m - 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*c**5 + 103284*c**4\/7 - 289304*c**3 - 587040*c**2\/7 = 0. What is c?\nAnswer: -2\/7, 0, 20, 3669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*k = -212*k - 54 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is (42\/(-12) - -3)*18254*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 49.49243 kilograms?\nAnswer: 49492430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -4\/81 greater than -1\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1130111 (base 4) in base 2?\nAnswer: -1011100010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39659281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/10175995 and -4\/35?\nAnswer: 71231965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 2) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 0*g + 2*c - 92, c = 4*g + 172. Let x = -25 - g. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.1 and -15569.8.\nAnswer: -15569.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 424*c - 54*c - 10056 - 5114. Calculate the highest common divisor of 11603 and c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttttttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 11:30 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of 5*d**4\/6 - 17*d**3\/3 + 6*d**2 + 121*d. Factor g(w).\nAnswer: 2*(w - 3)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 - -27. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.868722064 rounded to three decimal places?\nAnswer: 4.869","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59188.\nAnswer: 2, 14797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 14*n**4 + 5*n**3 - 22*n**2. Let c(j) = 14*j**4 + 6*j**3 - 23*j**2. Let i(b) = 5*c(b) - 6*x(b). Find the third derivative of i(s) wrt s.\nAnswer: -336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -7 + 5 - 4*q**2 + 6*q + 5 + 3*q**2. Determine z(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2277 and 400131.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41744 + -23259. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/299  (b) -0.4  (c) -8  (d) -2\/7  (e) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*f + 10*f + 688 = -74*f. Let q be (6\/(-8))\/((-6)\/24). Let k = -95 + 853\/9. What is the biggest value in k, q, 1, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 535576 times -0.3?\nAnswer: -160672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(12) + 2) + 2 + 6*sqrt(6)\/sqrt(2).\nAnswer: 8 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/100 and 37\/3500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m - 38 + 38 + 10*m - 5 + 5 + (4 + 2 - 4)*(-2*m + 5*m - m) - m - m + 3*m + 1 - 1 - 4*m to y*m + p and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 87 + -111. Let f be (q\/(-15))\/((-6)\/10 + 1). Put -3, f, 1 in increasing order.\nAnswer: -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13\/354 - -799\/2478. Which is the second smallest value?  (a) -1  (b) -3\/154  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20523842 is divided by 1513.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2758, -2497, -2236, -1975, -1714, -1453?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120, 129, 136, 141, 144, 145, 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8007 and 36?\nAnswer: 96084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2, 130, -1 in ascending order.\nAnswer: -2, -1, 1, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of 5*l**4\/12 - 2080*l**3\/3 + 432640*l**2 - 170*l - 1. Factor x(w).\nAnswer: 5*(w - 416)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -3, 1\/7, 2\/3, -8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00997631 rounded to four decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.9 + 47.1. Let i = 49.3 - a. Let v = i + 0.7. Sort v, -3, 0.5 in ascending order.\nAnswer: -3, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -4*p + 879. Let d = p - 419\/2. Find the common denominator of ((-28)\/(-144))\/(2\/(-76)) and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 4, 7, 1\/4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -i - 0*i + 27, 2*i - 15 = 3*x. Solve 13 = -5*s - i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -222, -29, 2.\nAnswer: -222, -29, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10785 + 10794. What is the closest to -2\/3 in j, -6\/11, -7?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 808646273 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 6*w**4 + 2*w**2 - 2*w + 32. Let c(m) = 6*m**4 + 3*m**2 - 3*m + 32. Let a(f) = 2*c(f) - 3*d(f). What is the derivative of a(v) wrt v?\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/((-105)\/(-1))*(-6)\/4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5516145*g*l - 5779170*g wrt l.\nAnswer: -5516145*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 7:43 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.01 + -1.39. Let i = 1.1 + u. Let l = 4 - 4.4. What is the second biggest value in l, -2, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32522 = -21*o + 7*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -19. Let s(n) = 7*n**3 - 9*n**2 - 4*n - 11. Let r(d) = -4*d**3 + 5*d**2 + 2*d + 6. Calculate v*r(m) - 6*s(m).\nAnswer: 2*m**3 - m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 12  (b) -0.4  (c) 2\/7  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 17*l**2 + 2*l + 153. Let i be m(13). What is the greatest common divisor of 38 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(76)\/sqrt(4) + -1 + (sqrt(133)\/sqrt(7) - sqrt(19)))**2 + (-3*sqrt(114)\/sqrt(6) - sqrt(171)\/sqrt(225)).\nAnswer: -76*sqrt(19)\/5 + 685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*r + 2720 = 638, -22*r - 4164 = -4*h. What is the highest common factor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4*y = -14, -7*x + 2*x = -5*y + 10. Let q(h) = 3*h + 4. Let m(l) = l. Let g(v) = x*m(v) - q(v). Let d(b) = b**2 - b - 1. What is 2*d(i) - g(i)?\nAnswer: 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -115\/3*a**3 + 35\/6*a**6 - 15*a**2 - 5\/4*a**4 + 0*a + 23*a**5 - 199. Solve q(t) = 0.\nAnswer: -3, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 2*t - 8. Let a be 3\/(-3)*-6 - -3. What is the lowest common multiple of w(a) and 2\/(-8) - 114\/(-8)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 3)*(-3045*w**3 + 3045*w**3 - 76*w**4)*(2 - 4 + 0) in the form d*w**4 + r*w**2 + l*w**3 + y*w + q and give d.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.347948181 + 0.152051199. Let w = 6.5 + -5. Let g = y - w. Round g to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 225\/2*g**2 + 222*g - 6.\nAnswer: 3*(g + 2)*(75*g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 4\/243753591?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 1, -0.2, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1377*l**2 + 3*l - 29263 wrt l.\nAnswer: -2754*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/(-8)*(-288)\/27. Suppose 0 = -2*o - 9 + 1. Let j be (1 + o)*u\/3. What is the highest common divisor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:36 PM and 4:04 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 less than 43623\/1451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/8408667 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) 2\/7  (c) 1  (d) -91.4  (e) 2\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/21)\/f*(f\/(f\/f**3))\/f*(f**1)**41)\/((f**(1\/2))**(-13))**(18\/5) assuming f is positive.\nAnswer: f**(6857\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2510, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, -3\/2510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 2*y + 62, 5*y + 16 - 11 = 0. Solve 5*g - z = j, g + g = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + s = 3*a + 20, 2*a + 5 = s. Put 1, -4, a, -3 in increasing order.\nAnswer: a, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 954 and 954 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gjjjgjjjjjj. What is prob of picking 1 j and 1 g?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -41471 - -10823950\/261. Find the common denominator of -70\/27 and v.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -27*a**3 + 63*a**2 - 30*a - 151. Let g(i) = -7*i**3 + 16*i**2 - 8*i - 38. Let k(s) = -23*g(s) + 6*t(s). Determine k(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y. Is h(6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/15*(-5)\/2)\/(249\/2905).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of h**3\/3 - 7*h**2\/2 - 3*h - 2. Let x = 3 + -1. Suppose -4*a + x*k = -16, 2*a + k + 4 = 5*k. Calculate v(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -1\/3*c**4 + 0*c - 1\/9*c**5 + 0 - 1\/3*c**3 - 1\/9*c**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - -17 - (32 + -30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9702 is divided by 3231.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 931997.5 rounded to the nearest one thousand?\nAnswer: 932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of 0*w + 0 - 1\/6*w**3 - 1\/6*w**4 - 2*w**2. Let h be 3 - 3 - (-5)\/(5\/2). Give m(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((1 + (sqrt(153) - (sqrt(153) - (sqrt(153) + -3 - sqrt(153)))) + 5)*4)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 666.242 litres?\nAnswer: 666242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1872))*2 + (sqrt(1872) + (sqrt(1872) - (1*sqrt(1872) + sqrt(1872))*4))**2 - (sqrt(1872) + 1*sqrt(1872)*-2)**2*-6.\nAnswer: 24*sqrt(13) + 78626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + -43\nAnswer: -43.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -354983 divided by -3?\nAnswer: 354983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**5 + r**5 - r**5)*(-1 + 3 + 0) + 4 - 1 + 10*r**5 - 2.\nAnswer: 12*r**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7974754*d**4 - 518763528 wrt d.\nAnswer: -31899016*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -14, 5, -3, 341, 2, -5 in ascending order.\nAnswer: -14, -5, -3, 0, 2, 5, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 122503975.\nAnswer: 5, 11, 29, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**3 - 18*j**2 - 55*j - 749. Determine t(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 - 13. Find the third derivative of k*q**3 - 10*q**2 + 0*q**3 + 0*q**3 + q**3 wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 165*c**3 + 7*c**2 - 160*c**3 - 583*c + 152*c - 2 - 5*c**2 in the form f*c**2 + b*c + k*c**3 + a and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101010121022 (base 3) in base 15?\nAnswer: -256755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 7*n - 126 = 0. Let i(y) = -y - 2 - 1 + 3. Let t(r) = -11*r - 1. Calculate n*i(j) - 2*t(j).\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*12.446\nAnswer: 2.4892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -86 at most -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*m - 1825 + 1369 = 0. Solve -m*i - 34 = -10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6884141, -6884122, -6884113, -6884120, -6884149, -6884206, -6884297?\n\"Answer: -g**3 + g**2 + 23*g - 6884164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*x + 42, 5*v - v = 3*x - 26. Solve s + s - x = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.1 + 7. Let v = 33\/52 + -5\/13. Which is the closest to v?  (a) -2  (b) 0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of 463*x**7\/42 - 7*x**4\/6 + 3*x**3 + 1341*x. Find the third derivative of w(g) wrt g.\nAnswer: 27780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166411 is divided by 15067.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 11\/4 of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14659488*s**3 - 692208*s**2 + 1050*s + 196 = 0. What is s?\nAnswer: -2\/141, 7\/228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bpbf when four letters picked without replacement from qqqbeqqbbqfbpb?\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 145132 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 146*p - 494*p + 129*p = -150*p - 1863 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0198085 to 4 dps.\nAnswer: -0.0198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 1:34 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 1 + 784*d**2 + 1826*d**2 - 2.\nAnswer: 2610*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3406603770?\nAnswer: 2, 3, 5, 12617051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 131.9 - 132. Is o smaller than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 446 and -0.4.\nAnswer: -178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 493812840 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -63, -263, -593, -1053, -1643?\n\"Answer: -65*x**2 - 5*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from {s: 2, z: 10, r: 1, t: 2, o: 4}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - 115*f**2 + f. Let o = -1 - -4. What is q(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16362 (base 7) to base 15\nAnswer: 15a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0077156035 to 4 dps.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zszszzzzz?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x + 10. Let n be y(10). Calculate the highest common divisor of n and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 7*x - 2*x)*(-6*x**4 - 7*x**4 + 19*x**4) - x**5 + 2*x**2 - 2*x**2 + (-2*x - 2*x + 2*x)*(x**4 - x**4 - x**4) + 3*x**4 + 3*x**5 - 3*x**4.\nAnswer: 28*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 53 - 7 = 3*h, 5*w - 5*h - 80 = 0. Suppose 5*g = w + 48. Calculate the smallest common multiple of 18 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -53643 * -147\nAnswer: 7885521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d + 8 = 2*d. Let s be ((-14)\/7)\/(d\/(-54)). What is the highest common factor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*h**4 + 15*h**4 - 2*h - 3*h**4 - 13*h wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5389, -12055, -18719, -25381, -32041, -38699, -45355?\n\"Answer: t**2 - 6669*t + 1279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06*-2.1.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/75)\/(25\/((-1375)\/(-22)))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -1 + t - 4*t + 2*t**2 - 2*t + 6*t. Let w be x(2). What is w rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((((-9)\/3)\/3)\/(-1))\/((-15)\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(2*sqrt(14) - sqrt(14))\/sqrt(2))**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g. Let p = 16 + -10. Let i(v) = -v. Let a(m) = 7*m. Let k(x) = p*i(x) + a(x). What is k(l(d))?\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or -0.1121904?\nAnswer: -0.1121904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 184.7 rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12.4 - -25.5. What is f rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 86*o - 91*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 84 - 6 + 115*k**3.\nAnswer: 115*k**3 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (-1 + -2 + 2). Let t = 5 + p. Suppose 5*g - t*g = -28. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + -8. Suppose 16 = d*b + b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes before 4:17 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2044134 or -2044133?\nAnswer: -2044134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.324983 millennia to decades.\nAnswer: 632.4983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 6)*(40*n - 786 - 221*n + 786) in the form y + h*n and give h.\nAnswer: -905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 108, 105, 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 - 52. What is the common denominator of 170\/(-45) + (i - 0) and 43\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-5 - 1) + (-31)\/3. Let o = j - -12. Factor 0 + 2*k**2 + o*k + 2\/3*k**3.\nAnswer: 2*k*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.318944 minus -1.69?\nAnswer: 13.008944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -51285.8933 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and 2021100666.\nAnswer: 2021100662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u - 31 + 5868 - 204099*u**3 + 204098*u**3 + 2*u.\nAnswer: -u**3 + 5837","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -112\/71, -2\/53, -2\/9?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cbbcacbbbcbbcbccc. Give prob of picking 2 c and 1 a.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*j**5 + 1198*j**4\/3 - 2278*j**3\/3 - 4074*j**2 - 5336*j\/3 - 520\/3 = 0.\nAnswer: -2, -1\/3, -1\/7, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1164768 - -111167841\nAnswer: 112332609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38 - -53. Let i = -14.921457 - 0.078763. Let r = i + v. What is r rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 20*t + 20. Suppose -37 + 49 = 2*m. Suppose -m*q + 119 = q. Let o(x) = 7*x + 7. Give q*o(p) - 6*d(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-33) + 6\/(-33). Let j(s) be the first derivative of 2 + v*s**2 + 2\/15*s**5 - 2\/9*s**3 + 1\/6*s**4 + 0*s - 1\/9*s**6. Find x, given that j(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 51 + -5022955?\nAnswer: -5022904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 58747 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1755)\/(-3 - 2) + 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (2 - (-3 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -17*z**4\/12 - 19*z**3\/6 + 23*z**2. What is the derivative of j(p) wrt p?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 - 7*s**2 - 9*s + 12. Let z be l(8). Which is bigger: z or 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/3 at least as big as -197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7209557*j**3 + 8*j**2 - 2*j + 35689?\nAnswer: -43257342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19302?\nAnswer: 2, 3, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 7*u**2 + u - 7. Let n be c(-5). Let h be (-1)\/(-2) - n\/(-4). Suppose 3*r = 2*s - r - h, -3*r = -5*s + 46. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**2 + 5*t + 11. Let y be d(-6). What is the greatest common factor of 68 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**5*((n*n*n**(-4\/15)*n)\/n)\/n*n)**(1\/5) assuming n is positive.\nAnswer: n**(-34\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100010 (base 2) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39159144*g**3 - 2923280*g**2 + 2.\nAnswer: -234954864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 22\/33*(-9)\/(-2). Let t(z) = -46*z**3 - 3*z**2 - 2*z + 7. Let w be t(c). What is the tens digit of w\/(-20) - 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in eleven quarters of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -13*v + 9. Let c = 59 - 61. Let n(p) = -3*p + 2. Let m(r) = c*y(r) + 9*n(r). Let w(d) = 8*d - 3 + 12*d + 3. What is w(m(h))?\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 - 3*c**2 - c**2)*(0*c**3 + 0*c**3 + 3*c**3).\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.5 - -2. Let o = 0.2 + 0. What is the nearest to 0 in -1\/4, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 942 + -939. Solve -6*j = q*j - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 8*k + 1. Let c(q) = q**2 + q + 6. Let g be c(0). Let p(z) = -3*z + 8. Let o(x) = -8*x + 22. Let h(f) = 4*o(f) - 11*p(f). Calculate g*h(r) - t(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 53*t**2. Suppose -6392663 = -49*r + 5664179. Let d(x) = -246058*x + 2*x**2 + r*x. Give j(d(g)).\nAnswer: 212*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74 - -82. Calculate the highest common divisor of 88 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 530551 is divided by 1679.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + -28 + 37 + -2 + -1 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.993815646 to one decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10429 - 92*k - k**3 + 10429 + 92*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1625*q**2 + 3*q**3 - 504*q - 588 + 1706*q**2 - 6*q**3.\nAnswer: -3*(q - 14)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - 1)*2\/(-4). Let b be -2*(-3)\/(-12)*-4. Suppose 24 = 2*q - 0*q. Solve u = 5*y + q - b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -2*h - 0*h + 4*v, -5*h - 5*v = -30. Let y(b) = 105*b + 16. Let a be y(2). Is a + (-1)\/h*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u + u**2 + 1 + u**3 + 2*u + 4*u - 4*u. What is the lowest common multiple of t(2) and 9\/(0 + 1 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.017 - -3.017. Which is the third biggest value?  (a) -1\/7  (b) -3  (c) -57  (d) k  (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1840164\/35 + 52587. Let d = m + -53\/5. What is the second smallest value in -0.3, d, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -h**5\/20 - 5*h**4\/6 - 11*h**3\/2 - 7*h**2\/2 + 19*h + 2. What is the tens digit of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -289378 - -198513263\/686. Find the common denominator of y and -29\/26.\nAnswer: 8918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 11:31 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d**3 - d**3 + 2*d**3)*(3*d - 1 + 1)*(198 - 198 + 67*d) + 4*d**5 + d**5 - 9*d**5.\nAnswer: -607*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 281994 is divided by 281632?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 306 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -4*g**2 + 3*g - 14. Let x(o) = -5*o**2 + 2*o - 15. Let m(u) = 6*v(u) - 5*x(u). What is m(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - 21 - 49 = -4*m, -t + 45 = 4*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(275) + 1)*-1.\nAnswer: -5*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 20*h + 29. Let m be l(-6). Let i be (-186)\/(-21) + 78\/m. Solve 3*w - i = -o, -2*o - 16 = -o - 3*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**2 + h - 7. Let z be u(0). Let s(a) = -2*a + 9. Let m(b) = -b - 2. Let y(l) = 1. Let d(i) = -m(i) - 6*y(i). Give z*d(q) - 3*s(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5315 in 0.25, 4\/9, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 10606*b - 52869. Calculate d(5).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10.7*0.0982.\nAnswer: 1.05074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -52356, -209451, -471258, -837771, -1308984, -1884891?\nAnswer: -2565486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 173 + -96. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 30237?\nAnswer: 4\/30237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4599*r**2 - 8850 with respect to r.\nAnswer: 9198*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 - -22. Let t be (1 - (-15)\/(-9)) + 2\/j. Put -5, 1, t in descending order.\nAnswer: 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 181, 1006, 3083, 7036, 13489?\nAnswer: 23066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 921 + -6463\/7. Suppose -3*z = -201 + 60. Let d = 46 - z. Is g smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((6*(sqrt(22) + -1*sqrt(550)))\/(4*(sqrt(1331)*-2 - sqrt(1331))) + 5)*5)**2.\nAnswer: 500*sqrt(2)\/11 + 75825\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2820*o = 2704*o - 5418*o - 2226 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1310, -1312, -1324, -1352, -1402, -1480, -1592, -1744?\n\"Answer: -o**3 + o**2 + 2*o - 1312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10039 - 10038.86. Let g = 0.0021 - -32.8579. Let d = r + g. What is the fourth smallest value in 2, 4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - 16*o - 21. Suppose -37*j = -8*j - 4872. Suppose -4*s - j = -108. Give q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-one fifths of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -115093, -115087, -115081, -115075, -115069?\nAnswer: -115063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -110*w**3 + 3*w**2 + 4*w + 3. Is o(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of -52*x**7\/21 + x**6\/30 - 2*x**5\/5 - x**4\/4 + 144*x**2 - 2858*x. What is the third derivative of o(y) wrt y?\nAnswer: -6240*y**2 + 24*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 485.019 + -496.19626. Let r = 11.16 + j. What is r rounded to three dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 5460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2672463524 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 39522\/41 - 964. Which is the biggest value?  (a) 4  (b) m  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 23*t = -29065. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 divided by -12.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -192 by -64.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2618070 and 56160?\nAnswer: 377002080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 8) in base 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20718, -24802, -28890, -32976, -37054?\nAnswer: -41118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100506?\nAnswer: 2, 3, 7, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 9 - 11. Let a be ((w - -6)*5)\/(1 - 0). Let t(r) = r + 1. Let b(d) = d + 2. Determine a*t(u) - 3*b(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 7*u**2 + 821*u + 1039. Calculate c(-116).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + ((-372)\/(-62))\/((21\/(-12))\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5420, 6965, 8512, 10061, 11612, 13165, 14720?\nAnswer: 16277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 2\/5, 8, 5, -0.4.\nAnswer: -0.4, 0.1, 2\/5, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 125361016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -9 + -3 + (-1 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 18 = -g. What is the remainder when -1 + g + -1 + -1 is divided by -3 - (-20)\/8*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -301*y**4 + 4*y**2 - 40*y - 295. What is the second derivative of q(w) wrt w?\nAnswer: -7224*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 358020839.\nAnswer: 11, 5557, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 374\/18 - 2\/(-9). What is the highest common factor of 168 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -32275, -64548, -96821, -129094, -161367?\n\"Answer: -32273*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015023239744 - 0.5?\nAnswer: -0.515023239744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/21)*u**(13\/5) assuming u is positive.\nAnswer: u**(278\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g - 15 + 29*g**3 - 57*g**3 + 27*g**3 + (-3 + 3 - 2*g)*(3*g**2 + 2*g**2 - 6*g**2) + 2*g**3 + g - g in the form v*g + r*g**3 + d + u*g**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 76 + b?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88) - 6*(sqrt(88) + (3*sqrt(88) - sqrt(88))))\/(sqrt(8)*1*1).\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 47\/6 - (-4)\/24. Let b(k) = -6*k + p - 3*k + 6*k**2 + 65*k**3 - 64*k**3. Give b(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oqtoyykogoktkok. Give prob of sequence kq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -56107\/32 at most as big as -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, l: 5, s: 1, a: 7}. What is prob of sequence lsw?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 0)\/((-38)\/19). Let r be (-9 - -1)\/(-2 + l). Solve 0 = f + r*j + 21, 3*f - f - 5*j = 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -34*h. Let c(l) = -2821*l. Let a = -4875 - -4872. Determine a*c(g) + 248*u(g).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o**4 + 2*o**2 - 2*o**2)*(-3 - 5 + 5)*(110 - 116 + 87 - 2*o).\nAnswer: 12*o**5 - 486*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 120554\/5 - 24110. What is the biggest value in 0.3, -0.4, v, 1\/967, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19839 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 101 * -197.3.\nAnswer: -19927.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*f**2\/5 + 1622324*f + 2317608\/5.\nAnswer: -4*(f - 289701)*(7*f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 7:41 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141234 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1466892027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/3))**(18\/7))**(-1\/22)\/(l**(1\/4)\/(l**3*l)*l**(-2\/9)*l**(-4)) assuming l is positive.\nAnswer: l**(21991\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 4\/5, -4, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.27*-0.1.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**5 - 5*o**4 + 20*o**2 + 16*o = 0. Calculate o.\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2341*f*n**4 + 3447*f - 2*n**4 wrt n?\nAnswer: -9364*f*n**3 - 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 2*i**2 - 18. Give s(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from szdkk. Give prob of sequence dkzs.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 428384?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 8, 3*p + 3*h + 2 + 1 = 0. Solve 3*k + 20 - 5 = 0, -2*b - p*k - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41*(10 - (31 - 18))*(-2)\/(-6)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10111332 (base 4) to base 11\nAnswer: -12403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.71 + 1.11. Which is the nearest to 0.2?  (a) 2\/7  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 22?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = f - 7. Let h = 19 - 3. Calculate the greatest common factor of h and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-61189)\/(-1075) - (-4)\/50 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15115300 divided by 1?\nAnswer: -15115300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 11:41 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 5. Let t be 3\/w*4\/(-3). Let a(g) = g + t*g - 5*g. Let i(x) = 2*x. Determine i(a(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 57293.\nAnswer: -6\/57293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:51 AM and 2:59 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 10 = -6*u. Suppose b = -0 + u. Suppose 47 = b*i - 78. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -j + 3*j. Calculate the highest common factor of j and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11980002 and 7638?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5250*b**3 + 1230*b**3 + 1215*b**3 + 1223*b**3 + 1604*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, d: 12, y: 1}. What is prob of sequence djy?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -18*x + 12*x + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 2*g)*(15*g + 4*g - 6*g)*(1 + 1 - 3) to o + i*g**2 + y*g and give i.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -104 - -72. Let s = z - -95. Suppose 0 = 3*a - 5*a + 84. Calculate the greatest common divisor of a and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 1 = 2*c + 35, 2*t + 3*c - 25 = 0. Suppose 63 = t*x + 7. Suppose d - 35 = 6*d + 3*j, -d - 2*j - x = 0. Is -6 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + -4)*-3 + 0. Suppose -2*h - q*s = -66, 3*h = 2*h - 4*s + 43. Find the first derivative of -18 - 10*c**4 - 32*c**4 + h*c**4 wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 + 34*k**2 - 94*k + 44. Let t be b(-36). Suppose -9*q + t = -19. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -39 - -2575?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2406?\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 47699.616 and -4.\nAnswer: -190798.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 817116 and 596.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-10)\/(-175) + 80038952\/1715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (155 - 21*w - 155)*(5 - 1 - 2)*(w + 0*w + 6*w) to the form n + z*w + h*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {p: 2, v: 1, x: 4, h: 3}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3*d + d - 3)*(-2*d - 14*d - 10*d - 3 - d + 3 + (1 - 2 - 1)*(0 + 0 + 2*d) - 2*d - 3*d + 3*d) to h + a*d + q*d**2 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 12 = -4*g, 0*p + 16 = -3*p + 2*g. Let s = -6 - -3. Sort p, s, 1 in increasing order.\nAnswer: p, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10348, 10353, 10358, 10363?\n\"Answer: 5*z + 10343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - 3*u = 0. Suppose u*b + 36 = -4*b + 4*c, 3*c - 32 = 4*b. Let s be (b\/(-15))\/((-1)\/9). Sort s, 5, 1.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3564876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19162 - -36777. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -15*(1792\/24)\/8. Let n be 82\/3 + 134 + b. What is j in 22\/3 - n*j - 2*j**2 = 0?\nAnswer: -11, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + y = 2*r - 60, 215 = 3*y - r. What is the highest common factor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 15 = 5*n, c - 5*n = -0*c + 15. Let r(h) = -10*h - 3. Is r(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 - -14. Let h(b) = 2*b**2 + 11*b - 3. Does 6 divide h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by 8\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 416 and 5812.\nAnswer: 604448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5*o = 5, -o = k + 3*k + 8. Let a(q) = q + 6. Let h be a(k). Suppose -h*j + 87 = -0*j. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52390.85 milligrams in grams?\nAnswer: 52.39085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 322 and 48944.\nAnswer: 48944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20 - -20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28296\/(-1310))\/(4\/5).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50 and 4096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2683 is divided by 122.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 18422, 36865, 55308, 73751?\n\"Answer: 18443*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*704\nAnswer: 211.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/(-6))\/(-7)*(-14)\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**2 - 4*q + q**2 + 54*q**2 + 2*q + 59*q**2.\nAnswer: 112*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -8*x**2. Let y = -3 + -73. Let h = y + 78. Let d(u) = -5 - u**2 + 0*u**h + 5. Calculate v(d(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -0.09209\nAnswer: 0.036836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -31357.484958895 and -2?\nAnswer: 31355.484958895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*o = 53*o - 930. Let h = -190 - o. Sort -5, h, -1 in decreasing order.\nAnswer: -1, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 0 + 2 + -7 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4 + 5 + 0 + 2. Suppose -c*j + 0 = -30. What is the smallest common multiple of j and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -13  (c) -0.5  (d) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 - -7707)\/((66\/15 - 4)*5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30355 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((360\/64)\/15)\/((-2)\/(-48))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t**4 + 131*t**3 + 257*t**2 - 131*t - 258 = 0. What is t?\nAnswer: -129, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 8:35 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 divided by -5?\nAnswer: 118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 18905 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -1 + n**3 - n - n**2 + 0 + 6*n**3. Let r(f) = -f - 8. Let p be r(-7). Determine x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2749490 and 474050.\nAnswer: 13747450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.119831 days in weeks?\nAnswer: 0.302833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -4996*x**2. Let g(j) = 9*j - 4. What is g(v(c))?\nAnswer: -44964*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -23.842 in -2\/11, 0, 5, 1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/(-8)*(-20)\/6. Let r be 63\/28 - 1\/4. Let u(n) = n + 8. Let b be u(-7). Put r, k, b in decreasing order.\nAnswer: k, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(5 + -3 + sqrt(76)*1*-5 + -3)*-1)**2.\nAnswer: 720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:05 PM and 9:00 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -l. Suppose 0 = y + 4*m - 55, l = 3*y - 2*y - 5*m - 55. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-8) + (-1)\/(-4). Let c be -2 + (-2)\/(w + 0). Suppose 4*n + 4*t = 20, n + n + 5*t - 10 = c. Solve u + n*g + 21 = -0*u, 4*g = 4*u - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -5*k + 1. Suppose s - 12 = -4*d - s, -4*d + s = -12. Suppose -7*j = -d*j + 20, -5*z + j = 5. What is the tens digit of y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1739 + 1763. Solve -30*d + i*d = 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from pnffnfinnffnfnffffon.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-255)\/(-60))\/((-5)\/(-6)*(-9)\/30)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-15)\/3 + -6 + 17)*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 28\/70 + -1 + (-10089)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s + 51*s**3 + 4 - 52*s**3 + 0*s.\nAnswer: -s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 156 divided by -52.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -97.\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-158)\/(-4) - 4\/(-8). Let u = t - 0. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 28*q**2 + 4 - 2 in the form z*q + y + s*q**2 and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10 + -1 + 8 - -5) + 19?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 6, -x + 22 = -2*s - 3*x. Let a = s + 17. Calculate the greatest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -87 + 132. Suppose y = -2*o + 5*o. Let s(c) = 2*c**3 - c**2 - c + 3. Let r be s(3). What is the greatest common divisor of o and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0, 1\/7, -0.4, 8 in decreasing order.\nAnswer: 8, 5, 1\/7, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 556.99354 + -557. Round p to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 15 = -0*u. Let k(h) be the second derivative of -1\/12*h**4 + 0 + 0*h**u + h + h**2. What is the first derivative of k(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -3*r**2. Let j(u) = 4*u + 4. Let h(c) = 39*c + 94. Let a(y) = h(y) - 10*j(y). What is a(t(l))?\nAnswer: 3*l**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 5403*b - 1462*b + 7750*b - 3757*b + 7906*b in the form l*b + i and give l.\nAnswer: 15840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -4*m. Let s be 1*(31\/(-279))\/(-1 + 10). Which is bigger: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -234 + 252.1. Let z = c - 25.1. What is the fourth biggest value in -1\/4, z, -5, 3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25, 217, 565, 1069, 1729, 2545, 3517?\nAnswer: 4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 62, 0.2, 5, -3\/2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 7*f**2 - f + 2. Let s be k(4). Let t be 10\/(1*1\/(-2)). Let p = t + s. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - 1 - (-1 + -43 - -42).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2678, 3, 0.033.\nAnswer: -2678, 0.033, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19293844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*n - 3717 - 6903 - 9280 = 0. What is the remainder when n is divided by 51?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41880 divided by 8?\nAnswer: 5235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45.99505l?\nAnswer: 45995.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 31*o + 20*o - 39 + 29*o - 81*o. Calculate q(-37).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/55 or 1?\nAnswer: -9\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11722131.\nAnswer: 3, 137, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(1\/3)*r*r))\/r**0)**(2\/13) assuming r is positive.\nAnswer: r**(-8\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*d - 12*d - 4*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**2 - 18*k - 6. Give u(-12).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 35 = 10*t. Let g be t\/(-49) - (-11)\/28. Find c such that -1\/2*c + g + 1\/4*c**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**4 + 21432*i**3 + 64323*i**2.\nAnswer: -3*i**2*(i - 7147)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zlfgg. What is prob of sequence lz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - j + 1. Let c(h) = -3*h**2 + 0*h**2 + 2*h**2 - 2*h + 2 + 2*h**2. What is -3*a(n) + c(n)?\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -84 by 3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2, 1, -2, 700?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.73490548 to 2 dps.\nAnswer: -1.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 80 = -13*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -7dd3?\nAnswer: 7dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 56 = 79. Let w = -43 + l. Let f(d) = -d**2 - 8*d - 14. Let n be f(-4). Solve w*r = 3*t - n, t - r - 3 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 - 1. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -373, -5, -31 in ascending order.\nAnswer: -373, -31, -5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 10, n: 8, q: 1}. Give prob of sequence xq.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 19*y**3 + 4*y**2 + 2*y + 1. What is n(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -1282*s**2 + 6. Let o(h) = 193*h. Calculate c(o(l)).\nAnswer: -47753218*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 7:19 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 3\/2, -3\/7, -0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 7*p + 3*p + 2*p - 12 - 7*p. List the prime factors of g(7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -12. Let z = 2 - 2.2. Which is the nearest to k?  (a) z  (b) 1\/6  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from didayyiyaaiyiay. Give prob of picking 1 i, 1 y, and 2 a.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*b**2 - 7 + 9*b - 66*b**2 + 81*b**2 - 170*b.\nAnswer: 106*b**2 - 161*b - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + 18742193?\nAnswer: 18742202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 2*n = 22, 21*q - 8*n = 17*q + 8 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 - -7. Let k(g) = 10 - o*g + 9*g + 5. Let n(i) = -20*i - 44. Let v(u) = -17*k(u) - 6*n(u). What is v(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 25*v**2 + 133*v + 2628. Determine n(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 5*f = 4, 5*w = -0*w - 4*f - 55. Let c be ((-20)\/(-6))\/((-2)\/3). Let g = c - w. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2289360 divided by -1.\nAnswer: 2289360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) 0.09431  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-54 - -56) + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4860*v + 3781*v - 1211*v + 2802*v to the form j*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -9440681 equal to -9440699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -20969, -41737, -62503, -83267?\n\"Answer: u**2 - 20771*u - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 times 454?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of 2*j**2 - 1. Let n(f) be the second derivative of 5*f**3\/6 + f + 94. Give q(n(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/7)*z*z**5)\/((z\/z**(-1\/5))\/z**(-4)))\/((z**(-3)\/z**(-2\/11))\/(z**1*z*z)**(-34)) assuming z is positive.\nAnswer: z**(-37987\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**3. Let w(c) = -2*c**3 - 3*c**2 - 2*c. Determine -3*k(y) + w(y).\nAnswer: y**3 - 3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*m - 16656 = -209*m + 273*m for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 113046 to the nearest 1000.\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + 1037491263.\nAnswer: 1037491247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -6*i**2 + 8*i - 2. Give f(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -55*-0.157\nAnswer: 8.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.3 - 2. Let v be 5\/2*54\/(-135). Let h be 2 + v + 7 + -3. Put f, -0.5, h in descending order.\nAnswer: h, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*j + 291*j + 446 = 0. Is -23\/381 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8773 - 8765. Solve 4*q + c*q = 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*s - 19*s - 131*s)*(2 - 7 - 3) + (0 - 3 + 2)*(0 + 2*s + 0).\nAnswer: 990*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/643 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2873124, -2873125, -2873126, -2873127, -2873128?\n\"Answer: -d - 2873123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - l - 31 = -0*l, 0 = a + 4*l - 6. Suppose 0 = -f + 3*f + 4. What is the common denominator of -121\/20 and f\/a - 33\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-84)\/(-49)*-14*(-4)\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21060 = 2*f - 4*l, -3*f + 4*l + 22473 = -9129. Is f a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 3*m**2 + 4*m + 5. Let y be l(4). Solve 3*r - 31 = 5*p + y*r, 6 = -3*p + 3*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6781 + 4958. Suppose -o = 2*t - 23*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of -7*m**6\/60 - m**5\/60 - m**4\/24 + m**2. Let x be v(-1). Solve -4*q - z + 2*z - 22 = 0, -3*z - x = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9*t + 309 = 5*t, -2*t = -8. Let r = x - 47. Suppose -12*y + r*y = 570. List the prime factors of y.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/110 in -1\/9, 18, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 23370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -11. Let m = 4 + b. Let q = m - -0.00031. What is q rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3163140\/23 equal to 137528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 245*q**4 - 4153765*q**3 + 556914690*q**2 - 632405120*q + 180299680 = 0. Calculate q.\nAnswer: 4\/7, 134, 16819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4368\/(-312)*(-774)\/126\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4183145255?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*sqrt(117)*1 + 3 + (4*1*sqrt(104) + sqrt(104))\/(sqrt(8) + sqrt(64)\/(sqrt(8)*-2)).\nAnswer: -2*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -15*h**3 + 5*h. Let o be (-76)\/(-120)*-3*3 - (-117)\/(-390). Let y(m) = -m**3 + m. Calculate o*y(v) + w(v).\nAnswer: -9*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (13 - 1 - 18) + 3*2. Sort h, 185, 2 in ascending order.\nAnswer: h, 2, 185","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1173 - 1178. Sort -13, -10, p in descending order.\nAnswer: p, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -1\/2*h**3 + 0*h + 0 - 6*h**2 - 1\/12*h**4. Let f(y) = -y**3 - 3*y**2 + 5*y - 1. Let z be f(-4). What is n(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 a factor of 9691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 110935*c*s**2*w + c*w - 34*s**2*w + 18*s*w - 7 wrt c?\nAnswer: 110935*s**2*w + w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 5:02 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0877?  (a) -3  (b) -0.5  (c) -2  (d) -199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 578*z + 8948. Calculate y(-15).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8141846 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -346959, -693921, -1040883, -1387845, -1734807?\n\"Answer: -346962*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1496.8 + 2039. Let k = -1155 + v. Round k to the nearest ten.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 61, 122, 185, 250, 317, 386?\n\"Answer: a**2 + 58*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a factor of 1531889005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12\/(-42) + 5\/((-70)\/(-32)). Calculate the remainder when (o*-2)\/(20\/(-250)) - 1 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36050 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 + 12. Let k be -700002 + (-1)\/((v\/(-4))\/(-7)). Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3209814 is divided by 610?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3096 divided by -64.\nAnswer: 387\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16566*j**2 + 67719*j wrt j.\nAnswer: -33132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -296, 5, 1, -3 in decreasing order.\nAnswer: 5, 1, -3, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -155*g + 1. Let i be f(0). Let p be (-1 + 7)\/((-51)\/(-2)). Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 357668 divided by 1\nAnswer: 357668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 + -23?\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 137388027?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52382 = -18*a - 17228. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**3 - 7*d**2 - 11*d - 7. Let x be i(-5). Which is greater: -7\/11 or x?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198869686 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 5*z - 6. Determine l(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9\/68 + -2\/17. Let g = -0.95 + -0.05. Let z = -61508 + 61504. What is the closest to g in v, 5, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-38)\/(-7) + (-39)\/91. Let n be (67 - -3) + 3 - 5\/w. Let t = -54 - -102. What is the greatest common factor of t and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 + 5*l**2 - 6*l**2. Let c(u) = u**2. Give c(h(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -16983 bigger than 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q - 2. Let j be a(3). Let r(f) = -7*f - 6. Suppose 0 = -2*o - 0 - 2. Let z(t) = t + 1. What is j*z(y) + o*r(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1476361 is divided by 406?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 798110*d**3 - 2*d**2*m**3 + 6*d + 199*m**3 - 36*m wrt d?\nAnswer: 4788660*d - 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101221002212001 - -12?\nAnswer: -101221002211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -99367, -99366, -99365, -99364, -99363, -99362?\n\"Answer: s - 99368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 480 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 1\/1) + -3. Let h(c) = -10*c + 14. Let a(r) = 7*r - 9. Let g(x) = y*h(x) - 7*a(x). Suppose -15 = -3*l, -2*l = -3*s + 4*s - 15. Determine g(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16657 is divided by 16504?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 220877\/28 - 7890. Let z = j - -9\/7. Sort z, 2\/3, 2 in decreasing order.\nAnswer: 2, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and 88459.\nAnswer: 88459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of s**3\/6 + 7*s**2\/2 - 3*s. Let k be n(-9). Let r be (-3)\/9*0\/k. Solve -2*q = c - 10, 4*c + q - 4*q + 15 = r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*k + 8*k**2 + 120 - 3*k**2 + 19*k - 40*k.\nAnswer: 5*(k - 8)*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15507d (base 14) to base 3.\nAnswer: -1101210012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85847 = -55*h - 87827 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2391276 (base 12) to base 7.\nAnswer: -112465410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 39c (base 13) to base 3\nAnswer: 212120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and 11.2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1801, -3634, -5483, -7354, -9253, -11186?\nAnswer: -13159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 4 = -7. Let f = -7 - x. Calculate the remainder when 10 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -280 = -1396\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -11*n**3 - 3*n**2 - 8*n - 16. Let d be g(-2). What are the prime factors of (d\/(-16) - -6)*1324?\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/(-4) + -1)\/(2\/(-3916)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -73 + (4 + (1 + 1 - 2) - (-2011 + 2018))?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.38 and 73632.\nAnswer: 73634.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 825.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 - -10 - 2 - (-6 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6033397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 69, -4, -2, 4013, -21, 5, -3 in increasing order.\nAnswer: -21, -4, -3, -2, 5, 69, 4013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 5*q + 54 = 9, -2*q - 25 = 9*r - 154 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -213 + 246. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 207 by 6360.\nAnswer: 69\/2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004607 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 1 - v**2 + 4*v + 2*v - v - 2*v + v. What is r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s + 651 = 14*s - 58*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(9\/7)*l)\/l)\/l*l*(l**(10\/3)*l*l)\/l assuming l is positive.\nAnswer: l**(85\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**3\/3 + 19*s**2\/2 + 3*s. Calculate z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 11 + 2\/4*0. Suppose 4*r + 0 = l + 13, 0 = -3*r - 3*l + 6. Suppose 109 = r*y - 5*i, 8*i - 7*i + 35 = y. What is the highest common divisor of m and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -834620 divided by -5\nAnswer: 166924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -38*y**2 - 27*y - y**3 - 28*y**2 + 72*y**2 + 7*y**2 + 11. What is u(11)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*4)\/sqrt(11) + sqrt(11) + sqrt(110)\/sqrt(10) + 2.\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*l - 35 - 2, 5*l = 4*r - 127. Suppose 5*f + r = 4*w, 0*w = w + 3*f + 13. Suppose -w*p - 104 = -3*y, -2*p + 148 = 4*y - 7*p. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 4*k + 37. Let a be j(-9). Sort a, 0, 3, -1, -6 in increasing order.\nAnswer: -6, -1, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*u**3\/2 - 12522*u**2 + 13306275*u\/2 - 1092133125 = 0 for u.\nAnswer: 1598\/5, 675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**3 - 11*s**2 - 10*s - 4. Suppose 327 - 99 = 19*w. What are the prime factors of i(w)?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -66.7335 + 66.8. What is k rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950147985 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 3*r**2 - 2*r + 8. Let x be l(-8). What are the prime factors of (-4 + 5 - -3) + x?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 7\/((-21)\/30) - 981465\/(-59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -3*t**2 - 3*t + 5. What is w(3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-214 - (59 - 11)) + 143?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o + 384 = 16*o. What is the remainder when o is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - 9) + 13 + 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1296155.38 rounded to the nearest one thousand?\nAnswer: 1296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1  (b) -2  (c) -3  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**3 + 8*y**2 - 2*y. Let i(k) = 2*k - 2. Suppose 3*c = 4*x + 9, -11 = 4*x - 4*c - 3. Let t be i(x). Is b(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -8755178.\nAnswer: -8755178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2134)\/132 + (-2)\/(-12). Is -10 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -4*a**4 + 136984*a**3 + 136988*a**2 = 0.\nAnswer: -1, 0, 34247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 68*f**3 - 5*f**2 + 5*f + 7. Determine b(2).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.1 - -0.9. Let u = -26 - -29. Which is the nearest to m?  (a) 0.3  (b) u  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -734325 (base 10) in base 3?\nAnswer: -1101022022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -222, -854, -1888, -3312, -5114?\nAnswer: -7282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of -6\/5*w**4 + 2\/25*w**5 + 0*w**2 - 157 + 22\/15*w**3 + 0*w. Factor u(k).\nAnswer: 2*k**2*(k - 11)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-8 - 36 - -41)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 41*a**3 - 4*a**2 + 2*a - 4. Let l(d) = -81*d**3 + 9*d**2 - 4*d + 9. What is 9*g(t) + 4*l(t)?\nAnswer: 45*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1 + 5 - (1 - 1). Let j be ((-2)\/l)\/(3\/(-6)). What is the second biggest value in j, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/6)\/((-5)\/10). Let k be -9 - -1670008 - (-2 + p). What is k rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.539 and 0.2.\nAnswer: 0.1078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/117857 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 70 + -121 + 50 - (1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 14775756 divided by 4\nAnswer: 3693939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4215, -8107, -11679, -14931, -17863?\nAnswer: -20475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (182\/(-21))\/(1 + -16). Let j = s - 7\/9. Put j, -0.6, -0.5 in increasing order.\nAnswer: -0.6, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -189*b*w**2 - 56*b + w wrt w?\nAnswer: -378*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34.45071 months in years?\nAnswer: 2.8708925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + 28*u - 2 = 4*h + 29*u, -4*u + 3*u = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 218 - 218.0000458. What is a rounded to six decimal places?\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -33 - 97?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 3052?\nAnswer: 3052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 48*b**2 + 321*b + 162. Let n be x(54). Solve -42*f + 178 + 116 = n for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/40 and -101\/184?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of d**3\/3 + 11*d**2\/2 - 9*d + 10710. Calculate o(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 5:18 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 4*m + 4*h - 883, -h - 5 = 0. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1601644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 5:47 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -3*r - 5*f + f, 0 = -3*r + 5*f + 19. Suppose m - j = -2*j + 17, 2*j = 4. Let b = m - r. Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z - 4. Suppose -5*y = -2*d - 244, -3*d = 2*y - 55 + 3. What is the remainder when y is divided by o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of h**6\/180 + 7*h**4\/24 + h**2. Let x(t) be the second derivative of a(t). Let o(q) = q. Give x(o(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 57*u**2 - 915*u - 4453. Give f(20).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -1071332 to the nearest 1000.\nAnswer: -1071000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 + 13. Let i be (64\/(-168))\/(-2)*b\/(-1). Let d = -4 + 3. What is the nearest to 9 in -1\/3, d, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 AM and 4:30 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -8. Let u = -34 + 37. Calculate the smallest common multiple of u and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-64)\/((6 - 3354\/558)*(-12)\/(-22))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2864407862 - 2864396605.860055. Let d = -11256 + z. Let w = d - 0.14. What is w rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 46921230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 428582 and 489808.\nAnswer: 3428656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 35780, 72807, 109834, 146861?\n\"Answer: 37027*p - 1247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d = 3*k - 4*k + 13, -2*k + 5*d = 18 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o*r**2 - o*r*s - o*r - o*s*w**2 - 12*r**2*w**2 - r**2 - s*w**2 with respect to w.\nAnswer: -2*o*s*w - 24*r**2*w - 2*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/4131 and -12 - (-55)\/11 - 3\/(5508\/(-12941)).\nAnswer: 16524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 11013*h**2 + 7.\nAnswer: 11013*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiwibw. Give prob of picking 2 w and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 64 = 2*s. Suppose 2*r - 3*j = s + 17, 5*r + 4*j - 48 = 0. Let u be 0 + r\/(-4) - -3. Solve 2*m + 4*n + 8 = -2*m, m + 5*n - 2 = u for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 225770112 divided by 36\nAnswer: 6271392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 57642031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1008727802.\nAnswer: 2, 587, 859223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*b - 36*b - 32*b**3.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 - (-1 + 20\/(-8)). Let v(d) be the first derivative of -z*d**2 - 1 - 5*d + 4\/3*d**3. Let g(k) = -7*k**2 + 5*k + 9. Give -3*g(m) - 5*v(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22 + -2*(3 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 take away -69874?\nAnswer: 69897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -12\/432259 and 61\/5967?\nAnswer: 151722909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 224 - 227.28. What is x rounded to 1 dp?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1505 - 742. Let n be 6\/(-8) - (o\/(-4) + 4). Suppose -5*z = -0*v - 3*v - 473, 2*z + 2*v - n = 0. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hherirehhr. What is prob of picking 4 h?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*h**3 + 8*h**3 + 55*h**3 - 76*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/97569 and 56\/1293.\nAnswer: 42052239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -4 + (4 - (1 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349*a - 287*a = -87*a - 20711 for a.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -609 + 608.99999711. Round i to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -17*s**2 - 289*s - 215. Calculate i(-16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*v + 12166 = -45*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421 = g + 413 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -10*i**5 + 865*i**4 + 4030*i**3 + 5885*i**2 + 2730*i = 0.\nAnswer: -2, -3\/2, -1, 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 546569 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*5*(-1 + sqrt(80) + sqrt(80) + -1))**2.\nAnswer: -800*sqrt(5) + 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 177746\/(-12216) + ((-16)\/40)\/2. Let n = 1\/137254 - -266873\/1047934290. Let q = p + n. Calculate the common denominator of q and 97\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -3)\/((-1 + 6)*1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 - 48. Suppose -5*t + 25 = 0, 2*o + 7 = -o + 2*t. Let j = o - 1. Which is the second smallest value?  (a) d  (b) 5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23915 is divided by 23874.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + y - 2 + 1, -y = 4*z - 11. Suppose 0 = -5*m - z*m + 105. What is the third derivative of -7*g**6 + 14*g**6 + 4*g**6 + m*g**6 - 33*g**2 wrt g?\nAnswer: 3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-6))\/((-26)\/39).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -1) + (-1 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 plus -3147954.1901?\nAnswer: -3147806.1901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the second derivative of -155*d**5\/4 - 483*d**3\/2 - 2*d + 9. Find the second derivative of h(f) wrt f.\nAnswer: -4650*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s = -987 - -1082. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17334 is divided by 833?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -33201 + 4?\nAnswer: -33142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 68\/3 of a week in hours?\nAnswer: 3808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-8)\/(-3))\/((-6)\/(-18)). Suppose u + c = -u. Let i = 44\/15 - 122\/45. Put i, -2, u in ascending order.\nAnswer: u, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 17*c**3 - c**2 - 3*c. Let u be t(3). What is the common denominator of 47\/2 and 2\/5 - u\/(-60)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 + (-71 - -29) + -25 + 1 + (-1 - 1).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41226181 is divided by 1189.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.8 times 3364891\nAnswer: -2691912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -45 + 622*x + 15 + 10 + 9. Is t(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 5\/3, -4, 0.084, -0.06, -1\/3?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b - 4032 = 50*b + 125*b. Let y(d) = -3*d + 3. Let k = -6 + 8. Let n be y(k). Sort n, 1, -1, b.\nAnswer: b, n, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 r when four letters picked without replacement from srsswwwerknsnsn.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -4*a + 1800, 7*w = -a + 4*w + 459. Which is bigger: 448 or a?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + -92?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*i**3*u - 23*i**3 - 13*i**2 - 954*u wrt u?\nAnswer: -3*i**3 - 954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**2 + 13*s - 21. Calculate t(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7 + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 471626 = 21*d + 60*d + 109313. Is d a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39558 + 39569. Calculate the remainder when 207 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1051 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 6*v - 4. Let d be 34\/8 - (-5)\/(-20). Let u be m(d). Let g = 214 + -211. Solve 4*h - 3*j + 5 = 1, 3*h = -u*j - g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of 121\/4*d**2 + 3\/5*d**5 + 83\/12*d**4 + d - 19 + 1\/60*d**6 + 22*d**3. Suppose m(u) = 0. What is u?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 188*z**3 + 187*z**3 - 372*z**3 - 3*z**2 + 61 to the form x*z**2 + w + a*z + b*z**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {c: 4, l: 16}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.21523 + -0.01523. Let d = -3 + 0. What is the nearest to -0.3 in t, 3, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -3. Let l = 5.3 + -0.3. Let k = l + -7. Which is the smallest value?  (a) 3  (b) j  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -129, -254, -377, -498, -617?\n\"Answer: b**2 - 128*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -195, -1519, -3299, -5541, -8251, -11435, -15099?\nAnswer: -19249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -3*s - 9. What is the nearest to 1\/4 in -3, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7084792, 28339201, 63763216, 113356837?\nAnswer: 177120064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18985048 by 8.\nAnswer: -2373131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 + 7*x + 6. What is m(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of -17*q**4\/2 - 91*q + 64. Find the first derivative of x(l) wrt l.\nAnswer: -102*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28524 * -0.4.\nAnswer: -11409.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 - -322009?\nAnswer: 322015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w**5\/5 - 11262*w**4\/5 + 2298909*w**3\/5 + 4631592*w**2\/5 + 2321424*w\/5 = 0. What is w?\nAnswer: -3948, -1, 0, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, i: 1, g: 1, a: 3, j: 3, e: 3}. Give prob of sequence ae.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34034\/(-357)*12\/(-88).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 424*l - 2052 - 6428 = 0 for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 625 - 4931\/8. Let t be 84\/((-4)\/(-6) - 0). Find the common denominator of (-4)\/18 - (-478)\/t and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42 - -158 - 206) + -23?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.432546 millilitres to litres.\nAnswer: 0.006432546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*h - 47*h - 30*h**2.\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - -174. Does 41 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 1 + 3 - 4 - 7)*(62 - 62 - 280*t).\nAnswer: 3920*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 46958281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*f + 518 = -394. Let o = f + -34. What is the remainder when 38 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 17*f + 14.\nAnswer: 17*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/17, 3, -3, 0.8, -9.1, -1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = y - 96. Suppose -y = -2*z - 0*z. Calculate the remainder when 35 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o**2 - 6. Give z(-4).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -r**3 + 134*r**2 + 258*r + 1897. What is l(136)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 m when four letters picked without replacement from {x: 10, m: 10}?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 244 + -249. What is the second biggest value in x, -16, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-66)\/(-99)*(-4)\/(4\/93). Let p = u - -66. Solve g + p = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r. Let f be y(4). Let w = -4 - 1. Put f, w, 2 in ascending order.\nAnswer: w, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 13*l + 542. Let u(o) = -o**3 + 1. What is the lowest common multiple of m(-41) and u(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 43.51. Let x = g - 10.79. What is x rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 127041326*n**2 - 939448697*n.\nAnswer: 254082652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 548162 divided by -6?\nAnswer: -274081\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 318 and 83634?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4009 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v + 21. Let s be f(-4). Let w = 55 - 54. Is w less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 236, 235, 222, 191, 136?\n\"Answer: -q**3 + 6*q + 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44 and 68?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**3 + 14*s**2 - 39*s**2 + 16*s**2 + 7 + 9*s**2 + 10*s. Let k(j) = 2*j**3 - 7*j - 5. Calculate -5*g(u) - 7*k(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3690288567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**14*t*t**(-36))**1)**(-1\/2) assuming t is positive.\nAnswer: t**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 11*x**2 + x + 9. Let w be j(-11). Let i be w + 4*(-3 + 4). Find the third derivative of -2*z**2 - 5*z**i - 10*z**5 + 2*z**2 wrt z.\nAnswer: -600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n + 71. Let o(d) = -d. What is o(j(k))?\nAnswer: 2*k - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1405215 is divided by 66914?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-195)\/(-130))\/(3\/(-20))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 224942043 plus 1.792?\nAnswer: 224942044.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9692, 9651, 9610, 9569, 9528?\nAnswer: 9487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1120 in 22, 0.1, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100011011 (base 2) to base 16.\nAnswer: 31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = u + u - 2970, -4*x - 7395 = -5*u. Let y(c) = 474*c**2 + 65*c + 1. Let v be y(-4). Suppose -2*z - v = u. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*a - 4*a - a + (0*a + 3*a - 2*a)*(0 + 2 - 3) - 6 + 8*a + 6 + 0*a - a - 1 - a.\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 22*14\/2 - -5. Let o = s - 184. Put o, 0.3, -1\/18 in descending order.\nAnswer: 0.3, -1\/18, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -t - 22 - 26. Let l = -13 - t. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/6)\/(-4)*255060\/26160)\/((-3)\/2)\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -24  (b) -5  (c) 4  (d) -92  (e) -4  (f) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 551 divide 2739021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 4:40 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/33 and 29\/4319973.\nAnswer: 47519703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(5 + (sqrt(14)*3)\/sqrt(2) + sqrt(7))*4)**2.\nAnswer: 5760*sqrt(7) + 19728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 278 and 39437914.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6\/((-39)\/9 + 5). Suppose 10*i = 41 + s. What is the highest common divisor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5305\/(-22281))\/((-8)\/42).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1765, 0.611, -3.\nAnswer: -3, 0.611, 1765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 8 = -a. What is the remainder when (-8)\/(-6)*120\/16 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) - (sqrt(200))**2 - ((sqrt(2) - sqrt(16)\/sqrt(2)) + sqrt(2)) - (sqrt(2) - sqrt(72)*-2)**2*2.\nAnswer: -876 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 9:00 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 643.4638 - 652.97. What is r rounded to 1 dp?\nAnswer: -9.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 329, 275, 221, 167?\n\"Answer: -54*d + 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 27*c**3 - 1432*c**2 + 41*c + 204. Give w(53).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13899 + -7460. What is the highest common divisor of f and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10*((-189)\/45 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2364*p - 4915*p + 2532*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**2. Let q(x) = -2*x + 4*x + 10*x. Determine q(z(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*1*(-5)\/30*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61522804 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -11*y**3 + 3*y**2 - 4. Let h(x) be the third derivative of 7*x**6\/40 - x**5\/12 + 7*x**3\/6 - 2*x**2 - 32*x - 5. Give -3*h(p) - 5*s(p).\nAnswer: -8*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 2*u - 8. Let w be r(7). Let b be 0\/((-7)\/((-14)\/(-4))). Solve 4*g - 2*q - 4 = b, -g - 2*q - 6 = -w*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, -17, -21, -3, 0.\nAnswer: -21, -17, -3, 0, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 6 = r. Suppose -4745 = -22*n - 51*n. Which is the third biggest value?  (a) r  (b) n  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**2 - 37812*u - 226800.\nAnswer: -2*(u + 6)*(u + 18900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -17*(-16)\/68 + -11 + 4\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -268*k + 263*k + 5, -5*k = -3*y + 4. Sort 4, y, -463 in decreasing order.\nAnswer: 4, y, -463","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110001 - 101?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 2*q + 3. Let g be d(-3). Let o(b) be the third derivative of -b**2 + 0*b**3 - 1\/210*b**5 + 0*b + g + 1\/84*b**4. Solve o(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -77207 and 3.01.\nAnswer: -77203.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-4*sqrt(833))**2 + (-1 + sqrt(833))*5.\nAnswer: 35*sqrt(17) + 53307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -1 + 14*t - 2*t**2 + 5*t**2 - 4*t**2 - 10*t. Let j(o) = 2 - 39*o**2 + 23*o**2 - 5*o + 17*o**2 - 1. Let i(y) = 2*j(y) + 3*l(y). Factor i(z).\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 862*j**2. Let v(k) = -8*k + 1. Let w(a) = 82*a - 10. Let i(q) = -10*v(q) - w(q). Calculate b(i(l)).\nAnswer: 3448*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15075 - -15050. Which is the fourth smallest value?  (a) -2\/7  (b) -3  (c) k  (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 2:00 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3348 and 39897?\nAnswer: 478764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 0*o + 4*o)*(2*o + 5*o - 6*o + (o - 4 + 4)*(-3 + 3 + 2) + 4*o - 3*o + 0*o - 3*o + 4*o + o) + 148*o - 56*o**2 - 148*o.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -21*v**2*y**2 - 103*v*y**3 + 787*y**3 - 4 wrt v?\nAnswer: -42*v*y**2 - 103*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d - 1831 + 5339 - 1754 - 1754.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.7212215 rounded to 3 dps?\nAnswer: -0.721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express -a**3 - 3*a**2 - a**4 - 14*a**2 + 0 + 2 in the form q + s*a + i*a**3 + x*a**4 + b*a**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 484250 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -73*h - 5. Let n(g) = -74*g - 4. Let s(r) = -5*d(r) + 6*n(r). Let j be s(-1). Let o = -5 + 21. What is the greatest common divisor of j and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1133874915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12297614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34905 is divided by 11629?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 12:35 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11) + sqrt(11) + -2 + (sqrt(77)\/sqrt(7) - sqrt(11)) + -1*sqrt(99).\nAnswer: -sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -108511*p**3 - 137971*p**3 + 246481*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -464 or -362?\nAnswer: -464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*q - 14, 0 = -3*q + 4*r - 14 + 45. Let c(a) = 87*a**2 + 2*a + 1. Let n be c(-1). Suppose -q*z + 4*i - 23 = -117, 3*z = -5*i + n. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56484378 and 7290?\nAnswer: 282421890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1202, 1934, 2666, 3398?\n\"Answer: 732*q + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-795)\/(-4))\/(-5)*-4. Suppose 3*c = 87 + y. What are the prime factors of c?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-87955)\/5145 - 4\/(-42))\/((-1)\/10) is divided by 109.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(1\/28)*v**(5\/3)*v**5\/v*v*v*v\/(v**(4\/29)\/v) assuming v is positive.\nAnswer: v**(23299\/2436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429*w = 426*w + 9*o + 42, 0 = 5*w - 2*o - 18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 5 - 20. Let h(w) = -w**3 - 3*w**2 - 3*w - 3. Let y(d) = -2*d**3 - 5*d**2 - 6*d - 5. Determine t*y(x) + 5*h(x).\nAnswer: x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/2*p**2 + 1\/3 + 7\/6*p.\nAnswer: (p + 2)*(3*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 166\/83 - (-1 + 0 + -1). Suppose -g = -0 - q, -g - 8 = -2*b. Solve 0 = b*k + 4*k - 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -96, -190, -310, -450?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - 3*r - 12. Let n be b(-7). Find the common denominator of 69\/58 and (6\/9)\/(n\/(-15)).\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15349030 and 0.08.\nAnswer: 1227922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 26035377, 52070753, 78106131, 104141511, 130176893, 156212277, 182247663?\n\"Answer: v**2 + 26035373*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 133800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 5. Suppose 3*c - 4*s + 8 = 0, -c + s - 1 = -k*s. Suppose 0 = -c*o + 9 + 3. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5*sqrt(133)*5 + sqrt(133)))\/(4*(sqrt(700) + (sqrt(700) - sqrt(700)*-3))) + -5.\nAnswer: -5 - 12*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21255 = 734*b + 4373 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*i - 36*i + 19*i + (-5 + 3 + 0)*(5*i - 2*i + 0*i).\nAnswer: -61*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12012 is divided by 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2. Let t(q) = 8*q - 32. Give d(t(n)).\nAnswer: -128*n**2 + 1024*n - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -17 + 7 - 22*s**2 + 10. Let j(g) = -2*g. Give j(d(y)).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by 168655.\nAnswer: -2\/33731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.439 - 0.139. Which is the nearest to 19?  (a) -1  (b) 2  (c) -0.4  (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -2*i. Let t(s) = 19*s - 55*s - 20*s - 15*s. Calculate u(t(v)).\nAnswer: 142*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80352550 divided by -3214102.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 5*g**2 - 20*g - 37. Is b(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 5:28 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**5\/5 + 1433*n**4\/5 - 15617*n**3\/5 - 35537*n**2\/5 - 18486*n\/5 = 0.\nAnswer: -1, 0, 13, 1422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (l + 4*l - 2*l)*(3*l - 5*l + l) - 2695*l**2 + 400*l**2 - 1174*l**2 in the form q + y*l**2 + g*l and give y.\nAnswer: -3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = 13*a - 157. Let y be (-10 + a + 0)*-1. Solve 2*l - 5*p = 5, 3*p + 17 = -y*l - 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 4 = 2, -2*q - 12 = -4*h. Let n be (-10 - 64)\/(h\/(-8)). What is n rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23 - 27. Let t = -2 - r. Suppose 2*h + y + t = 0, 0 = -y + 1 - 5. What is the remainder when 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -1\/6, 0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 17*p + 6. Let g(d) = 9*d + 3. Determine -11*g(t) + 6*h(t).\nAnswer: 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 108.42 + -108.52. What is the nearest to 2\/499 in -0.2, u, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 69, 599, 2041, 4851, 9485, 16399?\n\"Answer: 76*k**3 - 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.32 - -14.68. Let z = s - 15.2. Which is the closest to -0.2?  (a) 0  (b) -2\/19  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38.2244 + -0.2244. Sort a, -6, 0, -1\/5 in decreasing order.\nAnswer: a, 0, -1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 4*j**3 + 19*j**2 + 32*j - 11. Let q(g) = 3*g**3 + 13*g**2 + 21*g - 7. Let n(o) = -5*d(o) + 7*q(o). Let x be n(6). Solve 0 = -l - x + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -7377*v + 2416. Is t(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -3.8. Let y = 0.15 + 4.85. Let x = -5.3 + y. Which is the biggest value?  (a) x  (b) j  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*a - 2076 + 2236 = 0. Solve a*j = 21 - 71 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -5\/2  (b) 2  (c) 7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 40 + 5 = 0. What is the remainder when 11 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1389 = 13*y - 132. Does 21 divide (-4)\/26 - ((-41787)\/y - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 1 + 15 + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.783487mg to nanograms.\nAnswer: 5783487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 518.0905 to 0 decimal places.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1109.949l in millilitres?\nAnswer: 1109949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a + 44b09?\nAnswer: 44abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4956762 millennia to centuries.\nAnswer: 4.956762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 1108*p + 332. Let v be z(2). Calculate the highest common factor of v and 196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13402*m - 26788*m + 13274*m + 5936 = 0 for m.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3234 and 18?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 = 8*x - 103. What is the least common multiple of 35 and x\/(-84) - 41\/(-4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 42, 54?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -8381 times 0.05?\nAnswer: -419.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 908.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2495*k**4 - 474155*k**3 + 960565*k**2 - 508645*k + 19740 = 0?\nAnswer: 21\/499, 1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16185 (base 10) to base 2.\nAnswer: -11111100111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q + q + q + 0*q + 0*q - q + (-3 + 5 - 1)*(-q - q + q) - 3177*q - 29*q - 1189*q - 648*q.\nAnswer: -5044*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -375213?\nAnswer: 375213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2, -671833, 1\/8, 3\/2, 0.5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*f**4 - 9*f**2 + 5*f**2 + 2*f - 3*f**2 + 4*f**2 as z*f**2 + u + i*f + s*f**3 + l*f**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-54)\/468)\/((-11745)\/27144)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1103688 is divided by 738?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 244*h**2 + 12*h + 36. Let t be x(16). Let q be (-4)\/22 + t\/(-44). Calculate the remainder when (-40)\/(-6)*q\/(-76) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.3791 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*o + 5*b + 33 = 0, 2*o = 3*b + 22. What is the derivative of -3 + 8*f**2 + o + 2 wrt f?\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 0.5, -1, -0.28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (((-140)\/25)\/7)\/(4\/(-110)). Let b(t) = -t + 24. Let q be b(f). Is q\/(-3) + (-11965)\/(-15) - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1637?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 + 21*n**2 + 10*n + 212. Let y be h(-21). What is the second smallest value in -1\/3, 3\/5, -1, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 + 11*c - 14. Calculate g(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 417739.45 times 0.5\nAnswer: 208869.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4285869*a**4 - 4759319*a**2 wrt a.\nAnswer: 102860856*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 3*w - 4*w)*(-4*w**4 + 0*w**4 + 5*w**4) + (-w**2 + 3*w**2 - w**2)*(-4*w**3 - 2*w**3 + 4*w**3) - 3*w**2 + w**5 + 3*w**2 + 15*w - 7*w**5 - 15*w.\nAnswer: -6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/9*72\/480?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 3 - 1 - 2 - 4*y. Let q(s) = 2*s**2 - 2*s + 1. Let m be q(1). Let p(d) = 3*d**2 - 1. Let v be p(m). Give l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -36 + 8*j + 36. Let v be 1*3 - (27 - (28 - 3)). Calculate p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 707 + -701. Solve 1 = -7*w + o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*r + 3667 + 4041 = 2353. Solve r = -9*d + 72 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29807*p**2 - 7824*p**2 + 40 - 71 + 31.\nAnswer: 21983*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*r**2 - 2*r**2 + 6*r**2 + (5 - 6 + 5)*(-5*r**2 + 4*r**2 + 0*r**2) - 2*r - r**2 + 2*r to a*r + d + l*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*j + 2. Let k = -1\/49 + 53\/196. What is the closest to k in -0.5, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 4 = -13*q + 9*q, 1 = q. Let o(m) = m. Let t(w) = -w. Let c(z) = 2*z + 1. Let b be c(-1). Determine b*o(r) + p*t(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 8*o + 12. Let c be u(6). Suppose -5*h + 0*h = c. Suppose 2*f - 6 = h, 4*t - f = -0*f + 9. Solve z = -5*g - 0*g + 10, 6 = 3*g - t*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5079*a**2 + 12117*a**2 - 24 + 22.\nAnswer: 17196*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(1*sqrt(5)))**2 + sqrt(3)*1 + -1.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 325 - -28860?\nAnswer: 29085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 662 a factor of 265956015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23250501 - -12?\nAnswer: 23250513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2281 - -933. Let i be ((-2)\/s*-2)\/(1\/17). Let c = -18937\/5392 + i. Find the common denominator of -99\/20 and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - ((6 - 6) + -1) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 566160 and 3360?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 515*y - 12246*y**2 + 6123*y**2 - 793 + 6121*y**2 wrt y?\nAnswer: -4*y + 515","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 613, 1101, 1585, 2065, 2541?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of 0*t**3 - 1\/4*t**4 + 1\/60*t**5 + 0*t + 0 + 9*t**2. What are the prime factors of z(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 9*m - 12. Let c = 4 - 12. What is v(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 217 + 411?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 - 8*x - 12.\nAnswer: -(x + 2)*(x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 23*r**2 - 25*r + 24. Let w be q(-24). Suppose -8*a + w = 2*a. Suppose -2*z + 10*z = a. Solve -5*x + 20 = 2*i + 5, -5*x + z = -5*i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10212 - 3?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3343705?\nAnswer: 5, 668741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 22\/1071 and 11\/204.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 9*i. Let g be m(9). Which is the nearest to -2?  (a) 0.1  (b) g  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uo when two letters picked without replacement from uouuoouuuuuouu?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 167*r**3 - 2*r**3 + 17*r**3 + 14*r**3.\nAnswer: 196*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21652 = -27*p + 82703. List the prime factors of p.\nAnswer: 5, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2775185330?\nAnswer: 2, 5, 277518533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 7:52 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2\/3 - 46*w\/3 - 60.\nAnswer: -2*(w + 5)*(w + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -68303850 - -4.30753.\nAnswer: -68303845.69247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18 + 96?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2995067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 4*d + 3*d)*(2*d - 5*d + d)*(-8 - 4 + 11 + 6*d).\nAnswer: 12*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1947, -7649, -17115, -30345, -47339?\n\"Answer: -1882*h**2 - 56*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 + 2*k**4 + 0*k**2)*(3 + 1 - 1) + 255*k**4 - 22*k**4 - 106*k**4.\nAnswer: 133*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/(i\/(i*i**6\/i)))**50*(i*(i**(-2\/7)*i)\/i)\/(i\/((i**(1\/2)\/i)\/i*i*i)) assuming i is positive.\nAnswer: i**(4903\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3 + -344044?\nAnswer: -344041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 10. Let g be (4 - 1) + n + 3. Solve g = -5*t - 6 + 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39888071 is divided by 252.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, t: 5}. What is prob of sequence tm?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 673395 is divided by 325.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-2)\/((g**(-4)\/g)\/g)*g\/(g**(2\/3)\/g)*(g\/g**(-4\/5))\/g*((g*(g\/g**(-1\/4))\/g)**(-1\/6))**(-1\/18) assuming g is positive.\nAnswer: g**(13273\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1495 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-30))\/((-8)\/6).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 5 = 69 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (((-14)\/(-24))\/7)\/((-3)\/30)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -u - 24. Let o(a) = a - 2. Let l be o(u). Let h = -8 - -56. Calculate the highest common factor of h and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2125554582?\nAnswer: 2, 3, 354259097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - -9 - 1)\/2. Suppose -f = k*r - 49, -r = 3*f - 9 + 2. Calculate the greatest common divisor of r and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 70 = 38*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49308*h = -49301*h - 178276. What is the thousands digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j + 10. Let u(d) = -d**3 + 12*d**2 - 11*d + 9. Let q be u(11). Let i = -16 + q. Give h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -10*n**4 + 57*n**3 + 7*n + 2389. Let s(p) = 3*p**4 - 18*p**3 - 2*p - 796. Let c(g) = -2*h(g) - 7*s(g). Differentiate c(z) wrt z.\nAnswer: -4*z**3 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011136 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -0.03368  (c) -2\/440899\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {o: 2, k: 3, n: 1, y: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 1226 = 346. Suppose -227 - t = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 1, o: 1, t: 2, r: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1268373779 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(1\/4)*n)**(3\/8) assuming n is positive.\nAnswer: n**(27\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8884080 by 3.\nAnswer: 2961360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbwfewubbwbwwbw. Give prob of sequence wuw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 26, 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -25\/84 and -97\/600?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 216 and 768?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/9*((-18)\/10)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q - 7. Let a(x) = -x - 3. Suppose 4*m + 0*m + 12 = 0. Determine m*t(k) + 7*a(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -13*t**2 + 120*t - 120*t - 5*t**2. Let o(s) = -98*s**2 - 59*s**2 + 150*s**2. Give o(f(b)).\nAnswer: -2268*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11001001100111100 (base 2) to base 12.\nAnswer: 4b8a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) 7  (c) 1  (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -0.151683892\nAnswer: 3.151683892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 9 - 8 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l - 7334 = 8*l - 7254. Solve 39*x = 2*p + 40*x + 9, -4*p - 27 = l*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*j + 6, -4*j = -3*s - 2*j - 9. Sort s, 7, -1 in increasing order.\nAnswer: s, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 4*t = 0. Let i = -2 + t. Which is the closest to 0.1?  (a) -0.4  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -414356*z + 1243074. Calculate j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**3 + 21*z**3 + 16*z**3.\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 6, r: 2, t: 4, x: 1}. Give prob of sequence xr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 279350 to the nearest one thousand.\nAnswer: 279000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 8*i = -2*m - 15, 62*m + 182 = i + 315 - 420 - 646 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b84b74 + -1?\nAnswer: -1b84b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 3:15 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 146086003 to the power of 1\/4, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = 125 + 27. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, 5, -3\/2, -693 in decreasing order.\nAnswer: 5, -3\/7, -3\/2, -693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:43 PM and 6:31 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 12) to base 4\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20380993 to the nearest integer?\nAnswer: 4515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 355.33 to 0 dps.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -887812, -1775536, -2663260?\nAnswer: -3550984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**3 + 9*k**2 + 39*k - 685. What is z(10)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -372, -1122, -2278, -3840, -5808, -8182?\n\"Answer: -203*r**2 - 141*r - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -0*d + 3*d. Suppose -3*z + 6 = -9. Suppose z*c + 5 = l, 2*c = -c + 3*l - d. Solve c = -m - 0*m + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*v - 17 - 12 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -916 + 4*d + 466 + 0*d + 450. Let h(z) = -20*z**2 + 3*z. Determine x(h(s)).\nAnswer: -80*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/2 or -559?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-6)\/(-33) + (-654)\/(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184825?\nAnswer: 5, 7393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -156604*p + 156658*p + 378 = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 9 = -2*m, -m + 3*c = -4*m + 24. Is -16 + m - (0 - 4274) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 87 and 28997?\nAnswer: 2522739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 3*y - 24. Let a be 159 + -2 - (2 + -5). Let p = a - 113. Calculate the remainder when p is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 5*u**2. Let j(k) = 820*k**2. What is x(j(l))?\nAnswer: 3362000*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**4\/2 - 7*h**3\/3 + 3*h**2 - 7*h - 18. Let f be u(3). Let g be 3 - (1 - -1) - f. Which is smaller: -0.38 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*m**3 - 17*m**3 - 47 + 48 to t*m**3 + u*m + r*m**2 + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -33201009*w**4 - 15936185*w**2.\nAnswer: -796824216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (1 - -11) + -15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(588)*-2 - sqrt(96)\/sqrt(128))\/((sqrt(144)*1 + sqrt(144))*-5))**2.\nAnswer: 7483\/6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2158092?\nAnswer: 2, 3, 151, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15138 or 15136?\nAnswer: 15136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/2)\/(7\/28). Suppose 5*l = -d + s, -9 = -0*d + d - 4*l. Suppose -3*n = -2*q - 2381, 0 = 5*n + 7*q - d*q - 4005. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**2 - 7*w + 8. Let a be l(6). Suppose 3*s = a + 25. Suppose -7*k - 5 - s = 0. Let c(g) = -3*g + 1. Determine c(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 2:46 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 12:12 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2349646 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 275 and 2434080.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 19 + 31 = 0. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 - -54?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -178302 + 178302 - 19*k. Let i(c) = -20*c**2. Determine i(y(l)).\nAnswer: -7220*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3974034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 21*s**2 - 295*s - 264. Calculate x(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(5*-2*sqrt(225) - sqrt(225)))\/(2*(sqrt(90)*-2)\/sqrt(2)).\nAnswer: 11*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -h + 2. Let m = 8 + -4. Let t be 20*((-4609)\/(-2095) - (2 + 0)). Solve -t*y - h = y + m*l, -8 = 4*l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t + 1. Let z be p(4). Let m be z - -5 - 27\/3. Let w = m - -18. Solve -2*b + w - 3 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86*x + 82*x = 4*n - 8, -10 = n + 5*x. Let l(y) = 13*y - 64. Give l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 - 25340?\nAnswer: -25341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 5*y + 20, 7*n + 5*y + 15 = 9*n. Suppose -n*b - 214 + 239 = 0. Suppose z - 5*d = 29, -z - 7 = 5*d + 14. Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -805113 - 184887. What is x rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 1)\/(0 - -1). Suppose l = f - 0*f - 2. Suppose -f*k + 1 + 1 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(3\/13))**(1\/24)\/(b**0)**(-2\/41) assuming b is positive.\nAnswer: b**(2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g + 2 - 6 = -n, -3*g - 3*n - 24 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.55 - -16.49. Which is the nearest to 1?  (a) 1  (b) -2\/5  (c) f  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 2*l + 8. Calculate the least common multiple of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24163 is divided by 3627?\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + -25 - (5 - 38).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, 4, 0.07, -17, 2\/3, 1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 41 = -1. Let j be c\/(-15)*(-3)\/2. Let z(p) = -5*p - 6 + 6. Determine z(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 497 = -30*m - 63*m + 22*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.9 + 0.6. Let p = 4 - j. What is the second biggest value in 1, p, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4258208?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 + -0.3. Let f = 0.0293 + -0.0293. Let x = 0.4 - 2.4. Which is the closest to f?  (a) x  (b) 5  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.8, -1\/81, 2.99, 247?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 172 - 22. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*o = -4, -2*o = 2*v - 5*o - 10. Let l(w) = -16 + 9 + 5 + w - w**3. Give l(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2003, -1979, -1939, -1883?\n\"Answer: 8*b**2 - 2011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 361443, 365229, 369015?\n\"Answer: 3786*f + 357657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (144*u - 144*u + 26*u**2)*(2 + u - 2)*(-3*u + u + 0*u).\nAnswer: -52*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/21 + 554\/(-1358) + 140\/(-6790)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*l + 2897*l - 80056 = -51955 + 105879 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03448?  (a) 0.6  (b) -0.02  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of m**3\/6 + m**2 + 5*m. Let t(g) = 1 - 6*g + g - 11. Determine -2*t(d) - 11*w(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/126)\/((-48)\/144)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2750932.7 - 5.2937.\nAnswer: -2750937.9937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - 4) + 20 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 136963.\nAnswer: 136963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**2 + 9. Let o(u) = -102*u - 99. Let f be o(-1). Let p(t) = -2*t**2 + 17. Determine f*p(s) - 5*h(s).\nAnswer: -s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 7*k**2 + 7*k - 6. Let l be y(6). Let u = l - -15. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 5:59 AM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41 + 645*z - 40 - 2*z**2 - 2*z**2.\nAnswer: -4*z**2 + 645*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**3 + k**2 - 2. Let s(l) = -3*l**3 + 6*l**2 + 24. Let b(n) = 14*a(n) - 2*s(n). What is the first derivative of b(x) wrt x?\nAnswer: -24*x**2 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((50\/(-10))\/(-20))\/((-1)\/(-20)). Suppose s*q = 5*t - 400, 0 = 4*q + 3*t + 453 - 119. Which is greater: -81 or q?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 558341.5 weeks to hours.\nAnswer: 93801372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 141370196 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.009303+184373\nAnswer: 184372.990697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-16) - (1 - (-157)\/(-4)). Suppose y*p = 40*p - 3. Find the second derivative of -14*t**p - 10*t**3 - t - 15*t**3 + 32*t**3 wrt t.\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 81338 - 1545404\/19. Solve o*p - 36\/19 - 2\/19*p**2 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2460 (base 8) in base 15?\nAnswer: 5d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 3580.\nAnswer: -3580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-2\/3)\/t**(-2\/105) assuming t is positive.\nAnswer: t**(-68\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 16 - 7 - (-164)\/(-16). Which is the closest to -1\/6?  (a) l  (b) 0.2  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and 1657?\nAnswer: 4971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 48*u**2 + 49*u + 29. What is the hundreds digit of y(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 244630000 rounded to the nearest one million?\nAnswer: 245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 3. Let m be w(0). Let f = m + 1. Solve 9*u + 4 + 0 + 12*u**2 - 2 + f*u**3 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -16, 337 in increasing order.\nAnswer: -16, -6, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-25)\/l*l)**3 assuming l is positive.\nAnswer: l**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -782176*s**4 + 15*s + 21181?\nAnswer: -9386112*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00664328852 to 6 decimal places.\nAnswer: 0.006643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 390 + -414.9. Let u = -25 - p. Let r be (-62 - -2)*(-57)\/95 - -4. Is r less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 1 = 4*a - 17, -3*a + 12 = -3*o. Let b be -15*(o - (-2)\/(-1)). Suppose -j + g = -b, 55 + 12 = 5*j - g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = p**3 - 3*p**2 - 4*p - 2. Let r(w) = 15*w**2 + 9*w - 6. Let u(l) = 8*l**2 + 5*l - 3. Let a(t) = 3*r(t) - 5*u(t). Let c be a(1). Determine m(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2 + 3138*r - 820587.\nAnswer: -3*(r - 523)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**5\/60 - 3*h**2. Let p(l) = 38*l**2. Determine p(d(w)).\nAnswer: 38*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -280 - -423. Let a = 143.03 - h. Sort 1, a, 0.4, -1\/3 in descending order.\nAnswer: 1, 0.4, a, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 212945.463s?\nAnswer: 2.4646465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bvvaavaa. Give prob of picking 3 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*s + 45 + 20. Let h be s - (22\/55 - 53\/(-5)). Let f(n) = -8*n**2 - 10*n. Let k(a) = -a**2 - a. Calculate h*k(y) + f(y).\nAnswer: -2*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 3, 5*j = 5*p - 16 + 61. Suppose -4*u + 88 = -3*r, -5*u = -6*r + r - 105. Calculate the highest common divisor of u and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 4*z. Let g(w) = 1006*w**2. Calculate g(h(t)).\nAnswer: 16096*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -209401*d**4 - 116710*d wrt d.\nAnswer: -2512812*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**4\/12 - 2*c**2. Let p(i) = -2047*i**2 + 644. Let a(l) = -51*l**2 + 16. Let h(m) = -161*a(m) + 4*p(m). What is w(h(f))?\nAnswer: -46*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2127190 or 210?\nAnswer: 2127190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 17 (base 14) to base 2\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 - 5*d + 2. Let z(b) = 4*b**2 - 4*b + 5. Let x(r) = 3*r**2 - 4*r + 4. Let q(g) = 3*x(g) - 2*z(g). Calculate -7*q(v) + 6*s(v).\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r - 2. Suppose 0 = -2*o + n + 4, 5*o + 5*n = -7 + 17. Suppose i - 4 = -o. Let w(q) = -4*q - 8. Calculate i*w(k) - 9*y(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 at most -18673\/1019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/13, -4, 6.2, 2\/25, 0.1, 4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9508151 divided by -1.\nAnswer: 9508151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/(-224))\/(25\/60)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3.8, -0.10992, -1 in descending order.\nAnswer: -0.10992, -1, -3.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.567038 and -1.8.\nAnswer: -1.0206684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 5*x + 7925, -5*i + 3*x + 2337 = -5580. Let a be i\/242 + (-6)\/11. Solve -a*d = -7*d + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = a + 4*a. Let q = a + -3. Suppose -q = -b - 2. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**2 - 2*j + 10. Let v be y(-9). Suppose -h - v = -0*h. Round h to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1256189\/36 - 34891. What is the common denominator of -137\/6 and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k = 3*f + 155, -290*k + 378 = 3*f - 144*k - 137*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 3) + (-1 - -5). Let g = -5 + q. Put 4, g, -5 in ascending order.\nAnswer: -5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gppgppggpppgpgpgppgg. Give prob of sequence pgp.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(288) + sqrt(288)*-3).\nAnswer: -144*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19176631*d**2 + 605411*d + 22.\nAnswer: 38353262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**4 + 0 + 0 + ((-2 + 5 - 1)*(3 - 3 + k**4) - 2*k**4 + k**4 + 3*k**4)*(2 - 2 + 3).\nAnswer: 13*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 105, 659, 2163, 5097, 9941, 17175, 27279, 40733?\nAnswer: 58017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**2 + 36 - 3*r**2 + 2*r + 2*r**2 + 3*r**2 + r**3 in the form a*r**3 + x*r + g*r**2 + v and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 2:35 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*h**3 - 6*h + 12 - 19 - 2*h**3 + 4*h**2 - 3*h**2 to the form p*h**2 + w*h + k*h**3 + t and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 340 - 350. Let c be -6 + (0 + -1)*u. Which is smaller: c or 31\/12?\nAnswer: 31\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8488856 divided by -2122214.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (5154*b - 2591*b - 2577*b)*(-1 + 1 + 2*b**2) as j*b + c*b**3 + i*b**2 + p and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + 7556c?\nAnswer: 75569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2490, -1045, 1370, 4755, 9110?\nAnswer: 14435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -981*o + 4027*o + 8944*o + 344*o to f*o + s and give f.\nAnswer: 12334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 586*l - 687. What is the units digit of h(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 18404*p + 18411*p - 52)*(-3 + 4 - 3).\nAnswer: -14*p + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 + 1 + 0)*(5*i - 2*i - 2*i) + 0*i - 3*i + i + 5 - 5 - 4*i)*(5*i**2 - 3 + 3 + (1 - 1 + 2*i)*(-1 - i + 1)).\nAnswer: -21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 5 = -4*w. Let i be (39 + 4\/4)\/2. Suppose -6*t = -t - i. Put 3, t, w in increasing order.\nAnswer: w, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = 3*z + 5*p + 22, 5*z = p. Let v be 4 + z - 4 - 0. Let f(h) = -2*h - 7. Let a(x) = -x - 1. Determine v*f(y) + 6*a(y).\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, x: 13, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0\/t)**(-2\/13)*(t\/t**1)**(-50\/9) assuming t is positive.\nAnswer: t**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5*h = -48 - 137, 2*h + 8 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*q + 560 + 1140 = 0. What is the remainder when 143 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2*h**2 - 2*h + 1. Let s be x(-9). Let k = s - -1003\/7. Let i = 0.8 - -4.2. Which is the biggest value?  (a) k  (b) i  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (51\/(-12))\/(2\/(-56)). Solve 114*q = i*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 123 + -14231322304?\nAnswer: -14231322131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -3*d + t + 33, 2*d + 3*t = 22. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15)*1*-3 + sqrt(15) + sqrt(15))\/((sqrt(30)\/sqrt(2))\/sqrt(5)) + -1*(sqrt(500) + -5*(sqrt(500) + -2))**2)*-5.\nAnswer: -3995*sqrt(5) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -289 + 215. Let z = v - -256. What are the prime factors of z?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-50)\/6 - 122\/(-366). Let a(p) = -11*p**2 - p + 5. Let d(t) = -7*t**2 - t + 3. Calculate i*d(g) + 5*a(g).\nAnswer: g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(3\/(-2)))\/2. Suppose j - g = 1. What is the first derivative of 7*d**2 - 3*d**j + 3 + 0*d**2 wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r + 15*r + 3 = 0. Is (4624 - -2) + 0 + r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25102 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -44 + 214. Calculate the smallest common multiple of (1 - (-26)\/22) + (-1004)\/5522 and k.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -6.068\nAnswer: -12.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3, 32, 99, 222, 419, 708, 1107, 1634?\n\"Answer: 3*v**3 + v**2 + 5*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l + 3*l + l - 3 - 3*l. Let w be p(0). What is the third biggest value in -4\/11, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 + 2 - 2)*(126 - 27*u - 126) + (-7 + 2 + 3)*(-2*u**3 + 5 - 5).\nAnswer: 112*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crccccrcrccccr. What is prob of picking 2 c?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1088 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + -8532880847\nAnswer: -8532880850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -808765 (base 10) to base 15\nAnswer: -10e97a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l - 56. Let g(n) = 218*n - 2. Give h(g(k)).\nAnswer: -436*k - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.91459 centimeters in meters?\nAnswer: 0.0891459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.15571cm to kilometers.\nAnswer: 0.0000715571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b**4 + 5473*b**3 + 69*b**2 - b + 99659 wrt b?\nAnswer: 12*b**2 + 32838*b + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41689?\nAnswer: 47, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -8*h + 17*h + 8*h - 2*h - 3 + 29*h. Give u(-1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 111596 + -54775. What are the prime factors of t?\nAnswer: 56821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*n = -38*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 450087 to the power of 1\/2, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 500 = 24*m - 20*m. Let q = -120 + m. Suppose 0 = -4*w + 5*f + 356, 356 = -w + q*w - 2*f. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 - 13*j**2 + 51*j - 67. Give r(-16).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.9 - -0.1. Let y be (2\/(-6))\/((-19)\/(-6)). Let p = -153.5 - -151.5. Which is the closest to 1?  (a) y  (b) d  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 19  (b) -0.04  (c) 22  (d) 3\/2  (e) -5  (f) -1.3  (g) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -445 = -119*a + 388. Solve -a*u = -12*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-7 - (-7 + -13 + 14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z + 2*s - 10, 7*s + 15 = 34*z - 39*z. Determine g, given that -242\/7 + 44\/7*g**3 + 240\/7*g**2 - 44\/7*g + 2\/7*g**z = 0.\nAnswer: -11, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 + (-2 - (2 + -3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (150\/(-120))\/(2\/(1*-8)). Suppose 0 = -3*v + p*v - 4. Suppose 2*y - 16 = -v*j, -5*j + 3*j = -4*y + 8. Solve 0*m = -5*m - 5*b + 40, 17 = m + y*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243 = -3*w - 3*m, -2*w + 9*m - 4*m + 197 = 0. Let p = w - 28. Suppose -185 = -5*z - 2*j, -3*z + p = -5*j - 53. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 26303, 4\/7, 5\/2, -2\/21, -9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yz when two letters picked without replacement from {y: 1, z: 2, b: 1, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -149425.47 and -2708.399.\nAnswer: -152133.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-84)*-4)\/(72\/42)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -903 - 2*c + 903.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -62 - -76703?\nAnswer: 76621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1750 and 191800.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwgg. Give prob of picking 1 g and 1 w.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4506288.\nAnswer: 2, 3, 269, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 98078890 a multiple of 1274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i - 3*i**2 - i)*(486*i - 1098*i - 12*i).\nAnswer: 1872*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 710 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -4*c**2 - 20*c + 113. Let n(u) = 2*u**2 + 12*u - 56. Calculate -5*n(g) - 3*s(g).\nAnswer: 2*g**2 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(153)\/(sqrt(9) + sqrt(225)) + -2.\nAnswer: -2 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/(15\/(-6))*-2. Suppose -i = 5*v + 15, 2*v + 30 = -d*i + 6. List the prime factors of (48\/14)\/v*-7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 125 and 794500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -3*v**2 - 4*v + 5. Calculate o(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*n + 88 = -12*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -3, 6, 0.007, -0.4.\nAnswer: -4, -3, -0.4, 0.007, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -5*s - 99, 2192*g - 2186*g - 3*s + 201 = 0 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/1900*20)\/(((-27)\/(-102))\/(30\/6))?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -124 + 129. Suppose -c*o = -13*o + 8. Sort 2, -3\/2, o in decreasing order.\nAnswer: 2, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (136\/(-40) - -4)\/((-3)\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/15)\/(18\/(-45)). Is 0.4 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 56081 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -229 - -46. Let i = o + 182.5. What is the smallest value in -11\/2, 1\/6, i?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 1 + 3 = 4*q, 5*w = -5*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 8 - 8 - 6 + 3 - x. Determine t(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4, 7083, 1, 0, 3 in decreasing order.\nAnswer: 7083, 4, 3, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, q: 9}. What is prob of sequence qqc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -k - 23, 18 = -4*k + 3*k + 4*p. Suppose 3812674 = k*y - 5*z - 7787331, -2*y + 11600004 = -4*z. Round y to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 35693820?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 + 9*z**2 - z - 2. What is d(4)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.63*-4\nAnswer: 6.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 40048722\/5 at least as big as 8009745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 minus -23875168147242?\nAnswer: 23875168147242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6390 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of 2\/3*o**3 - 1\/12*o**4 + 0 - 3\/2*o**2 - 6*o. Determine v(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1360.092228 to the nearest integer.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-5) + (-426)\/(-15). Suppose -2*a + g = -19. Suppose 5*q = 11*q - a. Solve 8*p + 4 = q*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -32*l - 566. Give i(-19).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12 - 2)\/2 - -1. Suppose -4*d + p = -10. Suppose k - d = -0. Solve 4*f = 3*n - 0*f - 29, -n = k*f + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uvubuuuuunlnvdvu. Give prob of sequence vvun.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/429 and -29\/312.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 121*f**2 - 492*f + 3489. Give b(117).\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 times 7\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1972840210 to the power of 1\/2, to the nearest integer?\nAnswer: 44417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7110*u**2 + 576*u**2 - 1600*u**2.\nAnswer: -8134*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 + 35 + (-18 - -26) - (2 - 53)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -338 + 517. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 594 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -520*r + 520*r - 22*r**2 + (3*r - 33*r - 48*r)*(3 - 3 - 3*r) + 3*r**2 - 3*r**2 + 2*r**2 in the form b*r + o + x*r**2 and give x.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -6*w**3 - 5*w**2 - 18*w + 4. Let x(l) = -7*l**3 - 4*l**2 - 17*l + 6. Let v(u) = 6*i(u) - 5*x(u). Does 79 divide v(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/7162 and -37\/20.\nAnswer: 71620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (2 - (2 - (1 + 2)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7 + 3556?\nAnswer: 3562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n**11*n*n**(-1\/16) assuming n is positive.\nAnswer: n**(223\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 524 times -0.5\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 4*c**2 - c)*(7 + 3*c**2 - 7) - 44*c**2 + 44*c**2 + 6*c**4.\nAnswer: 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - g - 953, 2*j + 5*g + 736 = 5*j. List the prime factors of j.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**2 + 2808092*u + 148817640 = 0. Calculate u.\nAnswer: -701970, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2*j - 2*j - 23, -g - 22 = 5*j. Suppose 27 = 7*o - 2*o - 3*x, g*x = -2*o - 6. Suppose 1130*a + 64 = 1146*a. Solve 0 = v - o*v - a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1143400322 (base 5) to base 3.\nAnswer: -12002222020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 9.966404ng?\nAnswer: 0.009966404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 32.7533  (b) -2  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 3*m = 5, 4*b + 5*m = -195. Suppose 0*z + z - 53 = 0. Let n = z + b. Solve 0*x = x - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 158*p**2 + 7*p - 6. List the prime factors of u(1).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1900))**2 + (sqrt(171)*2)\/sqrt(9).\nAnswer: 2*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 - 22 + 52)*(c**3 - 2*c**4 - c**3).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 5:10 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - (1 - 13)) + 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of f**5\/20 + 2*f + 2. Let n be a(0). Solve k - 6 + 2 = c, n = 5*k - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 130 + -140. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.068 - 4.612. Let d = -0.68 - k. Which is bigger: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p + 94. Calculate the remainder when 224 is divided by l(16).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38379\/7 - 5483. Is 10045 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of w*y**4 + 4*w*y**3 + 1333*w*y**2 + 89*y**4 + 20*y**2 wrt y.\nAnswer: 24*w*y + 24*w + 2136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*o = 1590204 + 3574289 + 5449663. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16071111.\nAnswer: 3, 7, 255097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16347 >= 16346?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z. Let f be p(-1). Let q = 13 - 3. Let w = 9.9 - q. Which is the nearest to 2?  (a) w  (b) -1\/5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 30 and 1302.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -2*w**3 + w + 1. Let s be u(-2). Let y = 22 - s. Let k = y - 7. Is k <= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + (-1 - (3 + (5 - 11))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t - 5. Let n(l) = -25 - 24 + 85 - 37. Suppose 5*i + 0 = -5. Give i*b(f) + 5*n(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - n - 3. Let u be 18\/(-4)*(-6)\/(-9). What is b(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(-3)*(-21)\/28?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4*q + 9*q - 10 = 0, -2*b + 4*q = 32. Let p be b\/12 - 2\/(-3). Let l(c) = -7*c**3 - 2*c**2 - c. Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 77*t. Let m(s) = -7*s. Let y(l) = 56*m(l) + 5*n(l). Suppose -6*j + 12 = -2*j. Calculate the remainder when y(-2) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v = -34*i + 167, 0*i + 49 = 3*i + 5*v + 39 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -6057 (base 9) in base 13?\nAnswer: -2026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 4*h + 1105 - 1086 = 0, -2*y - 2*h + 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1748 and 1140?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d = -3*d - 15. Find the second derivative of 13*w + d*w**5 + 21*w**5 - 2*w + 4*w wrt w.\nAnswer: 520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 8*j + 28. What is the remainder when y(9) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/1)\/(3 - 5) - -1939. Suppose 1827 = 2*l - 5*n - 103, -2*l + n + w = 0. List the prime factors of l.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -42, -87, -132?\n\"Answer: -45*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -217, -174, -57, 170, 543?\n\"Answer: 6*x**3 + x**2 - 2*x - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 68 = -0*j - 28. Suppose 2*g - 4*g + 312 = 0. Calculate the greatest common divisor of j and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 6)\/(41\/((-574)\/(-28)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 328 divide 2208918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 5:21 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*x + 33408 = 2643. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11267\/9 - 1251. Solve 0*f + 0 - w*f**4 + 2\/9*f**5 + 10\/9*f**3 - 4\/9*f**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 823*s - 822*s = -6. Let a(l) = 2*l**2 + 37*l + 226. Let r be a(s). Which is bigger: r or -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4587106 and 4587102 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 9) to base 16.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 17, -10, 0, 0.978, 0.4?\nAnswer: 0.978","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3969  (b) -4  (c) 0.021  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o. Let d(s) = 16*s + 66. Let m be d(-4). Let g(f) be the third derivative of 0*f**4 + 0*f**3 - 7*f**m + 0*f - 1\/30*f**5 + 0. Give i(g(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.005559393526 to 5 dps.\nAnswer: 0.00556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z**2 + 2*z + 5. Calculate v(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-18)\/i*i**(-22)*i*i**16*i*(i*i\/(i\/i**(5\/7)))\/i assuming i is positive.\nAnswer: i**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3 + 3218*l**2 - 1308800*l + 11520000.\nAnswer: -2*(l - 800)**2*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*c + 280475 + 459523 = 30*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.7 - 4466.06?\nAnswer: -4531.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -777, -827, -877, -927, -977, -1027?\n\"Answer: -50*k - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 84 (base 15) to base 8.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.427 - 4.4. Let m = j + -1.437. Let d = m - -0.62. Round d to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 0.4  (c) 3  (d) 115105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o**2 - 13*o - 6. Let f(s) = 13*s**2 + 25*s + 11. Let a(p) = 6*f(p) + 11*u(p). Find the second derivative of a(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/12 and -55\/697014.\nAnswer: 1394028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 24*v + 187 = -19*v, -v + 127 = -2*n. Is -31 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 816 + 63 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -151, -269, -387, -505?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -g**7\/14 - g**3\/6 - 6*g**2. Differentiate x(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 121547791?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.52 + -0.0106.\nAnswer: -0.5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6267 - 3433. List the prime factors of d.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29 = -2*o + 5*p, 0 = 60*o - 63*o - 3*p - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -217 divided by 2735?\nAnswer: -217\/2735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 279841 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) -4  (b) -3  (c) -322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 52202 divided by 1\nAnswer: 52202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 - v**2 + v + 1. Let f(c) = 33 + 22*c**3 + c**2 - 7*c + 4 + 19 - 18*c**3. Let i(n) = f(n) + l(n). Differentiate i(a) with respect to a.\nAnswer: 9*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/10701035207 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/24 + 4\/32. Let s be 1\/(g\/3 - (-10)\/15). Let a be 2 - (s\/5 - (-36)\/20). Solve -2*k = -a + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*n**3*u**3 + 2*n**3*u - n**3 + 379*n**2*u**3 - 2714*n**2*u**2 - 10*n*u**2 + 15*u**4 wrt u?\nAnswer: -24*n**3 + 2274*n**2 + 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01174 rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10.1 + 14.2. Let y = -195.1 + a. Let o = -198.7 - y. Round o to zero dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide -5*1 + 41*(6 + -13 - -62)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-22)*-88)\/(8\/10). Solve -4*s - a + h = 0, 14 = -12*s + 14*s - 4*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 35977, 68599, 101221, 133843, 166465, 199087?\n\"Answer: 32622*c + 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - -8. Suppose r*v = 19*v - 22110. Suppose -a = 5*a - v. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (23848\/280)\/(-11) + 2\/(-5) and -31\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45960 = 31*h + 29*h. List the prime factors of h.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -280030.7 - -280031. Let g be (2\/6)\/(2\/4). What is the closest to -0.3 in w, -3, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (-42 + 21 + 161) - (1 - 15).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 9:44 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 661 minutes after 4:27 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5217252 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 62 = -0*c + 3*g, c + 18 = -2*g. Let r(u) be the third derivative of u**5\/60 + 5*u**4\/24 + 7*u**3\/3 + 10*u**2. Does 16 divide r(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - b + 42. What are the prime factors of l(0)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2856*w + 2884. Determine k(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -30 + 54. Let b be (-1)\/(1\/44*z). Solve 0 = o - 5 + 10, 3*o = -t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (t + 2*t - 5*t)*(1 + 3 - 3 + 3 + 1 - 6 + (0 + 3 - 6)*(-4 + 4 + 3) + 10 - 2 + 0) as x + m*t and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5 - 6)\/((-1)\/5). Suppose 0 = -y - 2*y - 12, -x - l*y = 14. Let z(f) = 2*f**2 - 3. Is z(x) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97 + -84. What is the remainder when 34 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 169564668.\nAnswer: 2, 3, 7, 13, 31, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 11*n + 2. Let v be r(-5). Let q = v - -55. Solve -4*k - 13 = -c, -q*c + 5*k = -14 - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/(-66)*(-1)\/(4\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3277415422 to the power of 1\/6, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-54)\/5)\/(5\/25). Let b = c + 54. Suppose a + 3*f + b*f + 8 = 0, 2*f = a - 2. Which is smaller: a or -19\/8?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.74 in -5, 1\/14, -3, -1?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 7:53 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -9, 25, -4, -27, 1 in decreasing order.\nAnswer: 25, 5, 3, 1, -4, -9, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17 + 3*k**3 + k + 28 + 99*k**2 + 7 - 5*k**3 wrt k.\nAnswer: -12*k + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -3*sqrt(7) + sqrt(7) + ((sqrt(343) - (sqrt(343) + -1) - sqrt(343)) + sqrt(343))**2 + 1.\nAnswer: -2*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -v - 8. Let l(x) = x + 8. Let o be l(v). Which is the nearest to -0.2?  (a) 5  (b) o  (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3060 + 3072. Sort 1\/2, 5, -6, k in descending order.\nAnswer: k, 5, 1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (252\/(-20))\/(2\/(-10)). Let c = -34 + d. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 153 (base 11) to base 5\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/3 + (-114081)\/(-9). Suppose 0 = 4*j - o - 15100. Suppose -2*l + 3*u = 11259 + j, 0 = 5*l - 5*u + 45505. Round l to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wxw when three letters picked without replacement from wxwwwwwxxwwxww?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.24 - -0.82. Let g = -0.02 - n. Put 1\/2, g, 1\/5, 2\/9 in ascending order.\nAnswer: 1\/5, 2\/9, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**2 + r**2 - 3*r**2 + (-3*r - 2*r + r)*(r + 4*r + 0*r))*(162 + 175 - 48).\nAnswer: -6069*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 142173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/5)\/((-1027)\/9243)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5155630 - 0?\nAnswer: 5155630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-3))**10\/(v**(-6\/11))**36)**38 assuming v is positive.\nAnswer: v**(-4332\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 24*k + 334. What is i(-9)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35766.\nAnswer: 2, 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-8)\/6*(-79305)\/(-34). Which is greater: -3109 or a?\nAnswer: -3109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*q**4*t - 246*q*t - 2218*t wrt q.\nAnswer: -8*q**3*t - 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 4*j**3 - 345*j**2 + 3876*j - 860. Give p(13).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(10\/(-12)*(-12)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) 0.5  (c) -4  (d) -1  (e) -10489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10930420*f**4 + 2*f**2 - 39574581 wrt f?\nAnswer: 43721680*f**3 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 724395532 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.13, 72, 1 in descending order.\nAnswer: 72, 1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 50397816 and 29512?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(648)*-1 - sqrt(648)) - (sqrt(648) - ((sqrt(648) - sqrt(648)*-2)*2 - sqrt(648))))\/(-2*-2*sqrt(900)*-3).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/7 equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 6. Let w = -8 + d. Let o = -122 + 123. What is the third biggest value in o, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 191*h**3 + 5*h - 5. Let l(i) = 1624*i**3 + 42*i - 42. What is 5*l(c) - 42*r(c)?\nAnswer: 98*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/(-7))\/3*196\/(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 25*x - 125 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19 - 6 - 9 - 34*j**2 - 29*j**2.\nAnswer: -63*j**2 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 151711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -100 - -106. Let h be ((-38)\/8)\/(1 - (-3)\/(-4)). Let q(s) = -2*s - 36. Let i be q(h). Solve -p + i = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + (0 - 0) + 0. Suppose 62 + 36 = s. Let h = 102 - s. Solve 0 = 5*v + j + h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8\/35, 6.951, -3\/4.\nAnswer: -3\/4, 8\/35, 6.951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cxchohchhcz. Give prob of sequence co.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*b - 5. What is the greatest common factor of b and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10195*u - 10211*u = -96 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 40 = 5*p, -4*t + 4*p + 52 = -2*t. What is the greatest common divisor of t and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-40)*4*((-33550)\/(-183))\/(-110)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 + 2*f**2 - 2*f**2)*(-4*f - 3*f + 5*f) + 0 + 0 + 5*f**4.\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 68?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 75 + -26. Let w = 9102 + -9088. Calculate the greatest common divisor of w and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 9 = -24. Let p be -65*2\/3 + (-50)\/75. Let f = 40 + p. What is the fourth smallest value in -1\/2, -0.02, f, v?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*x**5 + 477*x**4 - x**3 + 8583*x**2 wrt x.\nAnswer: -180*x**2 + 11448*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10.2 + -15.2. Let q = -2 + 2.05. What is the second biggest value in -2\/3, q, d?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*s, -3*s + 9 = 4*k - 20. Let y(w) = w**3 - 29*w**2 + 27*w + 34. Let p(l) = -29*l + 231. Let f be p(7). Let u be y(f). Is k at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1378, -2749, -4120, -5491, -6862?\nAnswer: -8233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 72 - 72. Let u(w) be the third derivative of -w**2 + 0*w**3 + a + 1\/105*w**7 + 1\/12*w**6 + 4\/15*w**5 + 0*w + 1\/3*w**4. Find s, given that u(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9110 + 9114. Which is the closest to 50\/7?  (a) 0.4  (b) 5  (c) -2\/7  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 27020364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 5*p + 6 = 2*l, 4*p = 5*l + 2. Let m(q) = -1 + 1 + 6*q - 1 + 0. Let j(a) = 2*a. Determine l*m(r) + 5*j(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21670464603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence err when three letters picked without replacement from {g: 7, r: 4, t: 1, e: 1, c: 1, i: 4}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43*o + 15*o + 16*o + 11*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*m - 1292 + 904 - 4168. Calculate the greatest common divisor of m and 7102.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + 5 - (45 + -59)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 405?  (a) -0.5  (b) 4  (c) 3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 525061, 1050128, 1575195, 2100262, 2625329?\nAnswer: 3150396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1068, 5, -1, 4, -2.\nAnswer: -2, -1, 4, 5, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 4*o - 12 + 6 = 0, -3*l = -o - 7. What is the units digit of (1995\/228)\/(l\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:41 AM and 1:32 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9704748 or -9704726?\nAnswer: -9704748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3150 and 223.1324?\nAnswer: 2926.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 6, p: 4}. Give prob of sequence jjj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 8. Solve 8 = 2*r - 3*j - 2, -10 = h*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + v - 2. Let d be b(-2). Let f = -4 - -7. Solve 5*z - 22 - f = d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*l + 1770 = 2226 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.3 and 3832.77?\nAnswer: 3833.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1145 * 0.2\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -197  (b) 0.4  (c) 0  (d) 5  (e) 53  (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 3*z**4\/4 - 591*z**3\/2 - 1091109*z**2\/4 + 1921953*z - 1648881 = 0.\nAnswer: -442, 1, 6, 829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 PM and 7:04 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -19 - -19. Suppose s + 71 = 4*v, z*v + 2*v - 2*s - 34 = 0. What is the derivative of 26 + v - 60 - 19*c**3 wrt c?\nAnswer: -57*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00412375 to five dps.\nAnswer: -0.00412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -95*u - 18. Let n be m(-4). Let r = -180 + n. What is the highest common factor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) - -6*sqrt(363)*4) + 2*(sqrt(363)*1 + sqrt(363)) - -4*(1*-1*sqrt(363) - (2 + sqrt(363) + 4)))**2.\nAnswer: -11088*sqrt(3) + 160659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 881 is divided by 869.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*r**2 + 9*r**2 - 5*r**3 - 3*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112\/12*((-3348)\/(-21) - 6) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*i = 8*i. Let v(z) = -z**2 - 14*z - 41. Calculate v(i).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 + -1)\/(-3 + 4). Let m be (f - -1) + 48\/(-28). Which is the nearest to m?  (a) 4  (b) -2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6400 and 1781760?\nAnswer: 8908800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -20*m + 26*m. Put m, 2, 0, -1 in increasing order.\nAnswer: m, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rer when three letters picked without replacement from ceryrccerm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of t**4\/24 - t**3\/2 - t**2. What is the lowest common multiple of 18 and h(21)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -11. Let k = 9 - y. Let f = -2 + 1. Which is the third smallest value?  (a) f  (b) -0.3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from cdddwddqldvdddqddqv.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (51*q**2 - 23*q**2 - 20*q**2 - 16*q**2)*(1 - 4 + 6) to the form r + a*q**2 + k*q and give a.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.8 - -1.5. Let u = 1 - 1.4. Sort a, u, 0.5.\nAnswer: u, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 7. Let n = -21 - 1. Let x = -18 - n. List the prime factors of u(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.5  (b) 2277  (c) -2  (d) -7\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785458?\nAnswer: 2, 607, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4*i**3 - 2*i**2 - 2622999*i + 79023316 wrt i.\nAnswer: 12*i**2 - 4*i - 2622999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -340*u**5 - 4135*u**3 + 3397143*u**2 + 4?\nAnswer: -20400*u**2 - 24810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-2))\/(3\/(-2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 128 and -15314.037?\nAnswer: 15442.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 18 = 2*w. Let c = w + -10. What is the lowest common multiple of 63\/6*6\/c and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0381 + 16.04.\nAnswer: 16.0019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, 4, -68, 1\/3, -25 in decreasing order.\nAnswer: 4, 3, 1, 1\/3, -25, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-3))\/((-6)\/(-9)). Suppose -p*s - 5*k + 200 = 0, 0*s = -s + 5*k + 52. Suppose 0 = -3*c + 5*c - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*q = -40*q - 18. Solve 0 = -q*l - l - y + 3, -3*l - 2*y = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*d = 91*d + 868 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/(-240))\/(4\/18)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 10)*(-5)\/(-10). Suppose -u - 4*b - 3 = 2, -2*u - b + r = 0. Let x be 1\/u - 10\/30. Solve 5*f + 5 = 4*w, x + 2 = -2*f - 2*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -23.638?\nAnswer: -4.7276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/5 - (-1)\/(-1). Let i be h\/3 + 2\/3. Suppose i = 5*w + 55 - 255. What is the highest common divisor of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8511341.269 to the nearest one thousand.\nAnswer: 8511000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -7410762.88 rounded to the nearest one thousand?\nAnswer: -7411000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -42*g - 16 - 32*g + 30*g - 20. Does 44 divide b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 13 = 28. Let l be z - ((-342)\/(-24))\/3. Does 3 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 34*f - 1. Let r(j) = -34*j. Let a(c) = 2*r(c) + 3*x(c). Differentiate a(h) wrt h.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -13*s + 17*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/c**7))\/(c*c*(c\/(c**2*c*c))\/c)*(c\/(c*c*c**1))**(-11) assuming c is positive.\nAnswer: c**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 776*y = 1400*y + 1390*y + 96672 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 4*x - 2*n - 12, -5*x - 3*n = -39. Suppose -12 = 2*j + x. Let c(q) = -11*q + 5. Let u(w) = 5*w - 2. Give j*u(s) - 4*c(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p - 1082291 = -356291. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y = -3. Let w be 46*8 + y\/1. Suppose 2*q + w = 5*s + 106, 2*s - 3*q = 100. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-32)\/(-10) - (-6)\/(-5). Let c = -2 - -4. Suppose -j*u + 8 = -c. Solve -5*g = -3*r + u, 0 = -g - 5*r - 4 + 31 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2526992.\nAnswer: 2, 13, 12149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b1 + 3183a?\nAnswer: 31759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*r + 21 + 24*r - 52*r as w + h*r and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (159 - 113 - 114)*(170*f + 48*f**2 - 170*f).\nAnswer: -3264*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + j + 8. Suppose s - 22 = 4*x, -2*s = 2*x + 3*s. Let w(l) = -240*l - 20 + 2 + 2 + 238*l - 2*l**2. Let a(y) = x*h(y) - 2*w(y). Give a(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t - 5306*v + 15 = -5307*v, -3*t - 2 = 4*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9805 - -9843. What is the highest common factor of 9671 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124247387 to the power of 1\/2, to the nearest integer?\nAnswer: 11147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 1:06 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12992 and 1016769?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 21773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 110 divide 1783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000014823 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**3 - 2*g**2 - g + 12. Let h(z) = 3*z**2 + 111*z - z**3 + 4*z**3 - 13 - 110*z. Let n(j) = -3*h(j) - 4*y(j). Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000809923 to 7 dps.\nAnswer: -0.0000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-13 - -13) - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2)*(2 - g - 2) - 6*g + 1 - 1 + (-2*g + 2*g + 2*g)*(3 - 4 + 2) - g + 0*g + 0*g)*(37*g - 6 - 74*g + 38*g).\nAnswer: -7*g**2 + 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.04 + -36.04. Let a = 26 + l. Let x = -10.00018 - a. Round x to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10442.046 + -10483. Let f = a + -0.046. Let d = f + 49. Is d <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1084*m**4 + m**3 + 7*m + 655696 wrt m?\nAnswer: -4336*m**3 + 3*m**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + 21*h - 74. Suppose 3*a + 74 = k, -a - 4*k + 6*k - 23 = 0. Let m be f(a). What is the greatest common factor of 286 and m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13172556 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 225457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 - -27. Let h = z - 13. Is h != 1\/50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -8*h - 56. Let u be l(-8). Suppose x = -u + 10, 4*b - 116 = 4*x. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*y**5 + y**5 - y**5 + (-2*y**3 - 4*y**3 + 4*y**3)*(0*y - 4*y + y)*(-4*y + 4*y + 4*y).\nAnswer: 21*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-59*j**2 + 15*j**2 - 17*j**2)*(-j**2 + 2*j - 2*j) + 4*j**4 + 4*j**3 - 3*j**3 + j**4.\nAnswer: 66*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.2843 times 449.83\nAnswer: -127.886669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 19 * 56\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9749060 and 2759?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c = -7*c + 24. Let h = c - -34. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-3 - 5) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3250690 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.1  (b) -5  (c) -0.085  (d) -2166  (e) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*a + 66*d - 69*d - 11, -2*a + d = -1. Suppose u + 2 = -2. Put 1, 3, u, a in descending order.\nAnswer: a, 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.4 - -4.6. Let b = 3 - s. Let y = 0.9 + -1.2. What is the third smallest value in -0.2, y, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 10) in base 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**3\/4 + 215145*p**2\/4 + 215142*p + 215141.\nAnswer: (p + 2)**2*(p + 215141)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 2\/23*j - 2\/23*j**3 + 224\/23 - 224\/23*j**2 = 0.\nAnswer: -112, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8 and -11\/299.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1283528 - 591*i**3 - 2567053 + 3021*i**3 + 1283525.\nAnswer: 2430*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 240 a factor of 1033109348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 66 = -3*f + 2*c, 4*f = 2*c + 88. Suppose 3*w + f = 2*d, 0 = w - 2*d + 2. Let z = w - -10. Solve 3*k + b - 2 + z = 0, -k = b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41 - (64 - -48) - 56.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 5*z**2 - 11*z + 11. Let u(j) = -j**2 + j**2 + j**2 - 5 + 7 - 2*j. Calculate -2*i(t) + 11*u(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -8. Let s be (0\/(-1 + w))\/1. Suppose -l = s, -5*j + l - 5*l + 15 = 0. Solve j*n + 2*n = 10, -2*h + 6 = 5*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + -3 + 3\/8. Which is the closest to -1\/3?  (a) 0.4  (b) -1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -14, -28, -42, -56, -70?\n\"Answer: -14*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 41923874*f**2 + 31617164?\nAnswer: 83847748*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 13*x**2 + 97*x + 16. Let c be l(-8). Suppose 3*p - 2*f + 7 = 42, -5*p + f = -49. Calculate the highest common divisor of p and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-3)*v\/v**(-1)*v*v)\/(v**1)**(10\/17) assuming v is positive.\nAnswer: v**(126\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 40825, 40833, 40841, 40849, 40857?\n\"Answer: 8*k + 40817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**3 - 52*p**2 - 66*p + 324 = 0?\nAnswer: -3, 2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 13, f: 6}. What is prob of picking 3 f?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 1382 divide 3255309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1*(4 - 3 - (8 + -2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4390 + -8b3?\nAnswer: -4c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the third derivative of 16*f**2 - 1\/60*f**5 - 13\/2*f**3 + 0*f**4 + 0*f - 1\/3*f**6 + 0. Find the third derivative of q(u) wrt u.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12686*m**2 - 10 - 96*m + 10 + 12661*m**2 to the form c*m**2 + l*m + g and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**5 + 82*g**4 + 540*g**3 + 1112*g**2 + 752*g.\nAnswer: -2*g*(g - 47)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 17*i**4\/6 + 7*i**3\/2 - 3*i**2 - 7*i - 17. What are the prime factors of y(6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1226 + -1211. Solve 0 = 4*v - v + g for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of g**3\/6 - g**2. Let u(n) = n + 1. What is -3*m(p) + 2*u(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -5*y**4 - 7*y**3 - 25*y**2 + 5. Let j = -158 - -157. Let m(c) = -c**3 + 1. Let x(h) = j*i(h) + 5*m(h). What is the third derivative of x(f) wrt f?\nAnswer: 120*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -80, 0, -32, -1 in ascending order.\nAnswer: -80, -32, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 r when four letters picked without replacement from {j: 4, r: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 80 = -4*s - l, s - 2*l - 29 = 0. Let w be 4\/7*s\/6. Solve 4*x = -5*t + w*x - 21, -x = -4*t - 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 2 = 10. Let z(x) = -x + 1 + 10 - 2 + s + x**2. Let f be z(0). Solve -1 = 2*c - f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -178114*q + 2095. Is j(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -49 + 56 + -7 + (3 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -13 + 240\/(-16) + 29. Which is the biggest value?  (a) -0.33  (b) g  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.68 - -0.15?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 111 and 11433?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 17866 + -445?\nAnswer: 17421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 45 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*f = -4*s + 15*f + 1332, -662 = -2*s - 2*f. Let o = s - 279. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.2  (b) -1\/4  (c) 2  (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3096404.\nAnswer: 2, 31, 24971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 4:21 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 4*q = 16. Let r(y) = -y + 14. Let s be r(6). Is 0 + (-3831)\/(-12) + q\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1432*q**3 - 59905*q**2 + 59905*q**2)*(3 - 4 + 1 - 2*q)*(0*q - 5*q + 4*q).\nAnswer: -2864*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.17, -0.3, 179, -13, 2\/31 in increasing order.\nAnswer: -13, -0.3, 2\/31, 0.17, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 11) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 5*b + 977 = 0, 258 = -s - 0*s - 4*b. Let o = s - -353. Let c = o + -68. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 206451574?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 110 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrrrgfgfrg. What is prob of sequence frfg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 49*t + 327. Give c(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 1336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36348241759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3317131481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - -2556.\nAnswer: 2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6242430 and 13625?\nAnswer: 156060750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -180256*c. Let d(g) = 5*g. Give d(o(p)).\nAnswer: -901280*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1517969.\nAnswer: 709, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - 3. Let h be a\/2*(-136)\/(-12). Let m = 204 - h. Calculate the highest common divisor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l + 4656*l**2 + 3*l - 4652*l**2. Let x(t) = 4*t**2 + 6*t. What is 6*k(n) - 5*x(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3536 and 763529?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 554, 1546, 2540, 3536, 4534?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-33)*(-33)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 12*o - 5137. Calculate n(-78).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197*u - 194*u - m = 0, 4*u - 4*m = 0. Solve 5*v + 5*l + 0*l = 25, u = 4*v - l + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76764 divided by -8\nAnswer: 19191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -18*y + 153. Suppose 3*k = 3*s + 30, 4*s = -4*k + 5*s + 43. What is the least common multiple of k and v(8)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 3*r = -0*r - 16, 4*y - 2*r = 24. Let x = -4.022 - 0.978. What is the second biggest value in -16, -0.5, y, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 2. Suppose 7 - i = d. Suppose d*r - 15 = r. Solve 3*s - 2*y = y + 18, 2*y + 15 = r*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/2 and -79\/556.\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 21*a + 18. Let h(f) = 25*f - 11*f - 5 - 10*f - 10*f. Let t(g) = 37*g - 22*g - 17*g + 9. Let q be t(7). What is q*m(o) - 18*h(o)?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 - (1 + 7 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-2\/7)*j*j*j\/(j*j\/((j**23\/j)\/j)))\/(j**(8\/11)*j**(-2\/27)))**(-28) assuming j is positive.\nAnswer: j**(-175144\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2436 is divided by 556\/8 + 183\/(-122).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4708886, -9417760, -14126634, -18835508, -23544382?\n\"Answer: -4708874*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 5327112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 - 3*p + 1. Let h = 143 + -78. Let q be h\/7 - (-2)\/(-7). Let g = 6 - q. Determine v(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 120314408 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -7.7 and 49.65?\nAnswer: -382.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*z + 2*z. Let v be (46\/(-1 + z))\/1. What is the remainder when (0 + 1\/(-2))*v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 9170 and 273790?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -5 + 2 + (-2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = 9*h. Suppose h = -33*y + 12*y + 84. Solve 0*n + 7 = 3*t + 5*n, -2*t + y = 3*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10295 is divided by 171?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/3005 and 8\/5?\nAnswer: 3005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -39673829.1 - 0?\nAnswer: -39673829.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (616\/(-28))\/((-36)\/(-54)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*r + 4*f = 5*r - 12, r = -4*f - 12. Solve r = -3*g, h - 3*g = 3 - 1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -98*c. Let z(q) = 27313*q**2. What is z(h(r))?\nAnswer: 262314052*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -24 times 1.665\nAnswer: -39.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**2 + 2*q + 238. Let b be o(0). Let j(w) = -8 + b*w + 7 + 39*w - 1. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -3*v**2 - 4*v - 8. Let x(r) = -4*r**2 - 7*r - 15. Determine -5*b(l) + 3*x(l).\nAnswer: 3*l**2 - l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -3*z - 6. Let n(w) = -26*w - 33. Let q(u) = -9*u - 11. Let d(x) = -3*n(x) + 8*q(x). Calculate 6*d(s) + 11*i(s).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1*4 - (4 - 2). Suppose y*s = -4*s + 12. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 141 and 43851?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 41e065e + -4?\nAnswer: 41e065a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3802 + 3807 + 36*s**2 + s**2 - 9*s**4 + 12*s**3 wrt s.\nAnswer: -216*s + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1607 + 1612 - (0 + 0 + 1) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1540769 or -26193070\/17?\nAnswer: -1540769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven eighths of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3041974 and 228074.\nAnswer: 234231998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/16*174\/(-87))\/(3\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11438 is divided by 337?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6957342t in kilograms?\nAnswer: 695.7342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/178 or -1?\nAnswer: -3\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 - 9*h + 32. Let q be k(5). Solve 9*u = q*u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13846712 (base 9) to base 3.\nAnswer: 110221120210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/89, 7, 1, 11, -29 in descending order.\nAnswer: 11, 7, 1, 2\/89, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*w + 2*s, -2*w = 2*w - s - 16. Suppose 0 = -w*x + 2*t + 16, x - 3*t + 8 = -5*t. Let b = 95 - 99. What is the closest to -1\/4 in b, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62*x - 11046 = 20*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.4 and 83.\nAnswer: 116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 29, 21, 9, -7, -27?\n\"Answer: -2*b**2 - 2*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g + 1. Let o be s(8). Let i(p) = 3*p**2 + 5*p - 1. Let a(u) = -13*u**2 - 21*u + 5. Let v(h) = o*i(h) + 2*a(h). Calculate v(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -26*i + 23*i + 8, -4*i = -3*d - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*j - 162*j - 101*j.\nAnswer: -160*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 22*s**2 + 41*s - 30. Calculate u(-20).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 2:24 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26\/9 - 103\/45. Let u = -5 + 4.6. Let f = 0.077 + -0.277. What is the third smallest value in -3, u, v, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -475624035, -475624034, -475624033?\nAnswer: -475624032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + (-65 - -82) + -1 + -7.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 124743 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.6 + -0.4. Let u = 2.92 + 0.08. Which is the closest to 1?  (a) x  (b) u  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20085 (base 9) to base 2\nAnswer: -11001110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/5, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1298024553 to the nearest integer?\nAnswer: 36028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 115 + -2?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1333007923?\nAnswer: 13, 131, 863, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -664, -1235, -1802, -2365, -2924?\n\"Answer: 2*a**2 - 577*a - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 738 is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 171 - 174. Put 5, 1\/2, -2\/9, l in decreasing order.\nAnswer: 5, 1\/2, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1335771\/(-240))\/(2*(-18)\/135). Let r = w - 20870. What is the common denominator of r and 95\/56?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + c = -266, -2*c - 190 = -3*w - 6*c. Suppose -42*y + 44*y - w = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -54*p**3 - 2*p**2 + 60*p**3 + 8*p**2 wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 207 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 293867.\nAnswer: 7, 41981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.26 + -6.36. Let p = -3.8 - -5.8. Which is the closest to p?  (a) 0  (b) l  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3550130 divided by -1?\nAnswer: 3550130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 + 34 = 3*z. Solve 0*n + 2*n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 372\/37 - 1202\/333. Let d = t - 277\/36. Find the common denominator of d and 9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 4*c. Let s = 7 - 5. Let l(q) = 2*q**2 - 2*q**s + q**2. Calculate l(i(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4120 and 11160.\nAnswer: 1149480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7161, 7234, 7307?\nAnswer: 7380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 583401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - -4. Let j = 13 - l. What is the nearest to -0.1 in j, -0.3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 6*m + 3. Determine x(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 230647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 505 divided by 101.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 9123583 and -0.4?\nAnswer: -3649433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 1 + 2)*(28*f + 41*f + 6*f)*(-1 - f - 6 - 3).\nAnswer: 150*f**2 + 1500*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = j + 11. What is i(-19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 335 - 215. Let h = -16956933546 + 16956933666.00000079. Let d = x - h. What is d rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*x**3 + 98 + 27*x**2 - 27*x**2 + 0*x**2.\nAnswer: 11*x**3 + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 2  (c) 2\/33  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1038  (b) -61  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2186059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*(15 - 3)*(-7)\/21. Solve 19 - d = 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**3 - 3*u**2 + 2*u - 5. Let g be r(-4). Suppose -g*w = w. Let k(s) = 8*s - 1. Let p be k(1). Solve -5*b = 2*i - 5, w = 4*i + 4*b - 23 + p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxzyw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/14)\/(2*5\/(-35)))\/((-11522)\/4938)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -69*u**2 + 55*u - 5. Let n(c) = 35*c**2 - 28*c + 3. Let f(s) = -5*n(s) - 3*t(s). What is the second derivative of f(v) wrt v?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 34*r**2 + 3*r + 12 - 41*r**2 in the form g*r**2 + n*r + h and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -253, -600, -1423, -2956, -5433, -9088, -14155?\n\"Answer: -39*i**3 - 4*i**2 - 62*i - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097206831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1228 + -1251.08. Let w = 23 + l. Let q = -0.6 + -2.4. Which is the nearest to -1\/2?  (a) q  (b) w  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-58)\/20 + 28\/(-280).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/40*-54)\/((118\/(-20))\/(-59)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2972147 * 7.\nAnswer: -20805029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + z - 14*z = -49383. Does 93 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**2 - 6*f - 5. Suppose 2*l = -4*g - 96, -g + 3*g = 5*l - 60. Let a = -7 - g. Calculate the lowest common multiple of x(7) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2448\/1088)\/((-3)\/(-20)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 4089*g - 89961. Calculate c(22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -475 or -1426\/3?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*q = 305*q + 1771 + 6009 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of z**5\/70 - 58*z**4\/21 - 235*z**3\/21 - 118*z**2\/7 + 1506*z. Solve b(m) = 0 for m.\nAnswer: -1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f - 5. Let n be x(-5). Suppose 3*d = -n*d. Let w be 0 + d - 2 - -9. Solve 4*h - 2*b = -20, 5*h + 2*b - w*b = -35 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2 - 686*v + 117649.\nAnswer: (v - 343)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -0.104.\nAnswer: -30.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 266253.09 and -5.\nAnswer: -1331265.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 25788 and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 328 + -316?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6920)\/100340)\/((-2)\/(-4))?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k**2 + k**2 - k**2)*(-k - 3*k + 2*k) + (-3*k + 2*k**2 + 3*k)*(44 - 44 - 19*k).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 19*z**3 + 8*z**2 - 7*z + 58. Is 2 a factor of g(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 2 s when three letters picked without replacement from {n: 4, s: 3, t: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the first derivative of u**4 + 3 + 0*u**3 - 2\/5*u**5 + 0*u + 0*u**2. Determine d so that s(d) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 696 and 28304.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-95) + (-7504)\/532.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i**2 - i. Suppose -2*a + 3 = 2*f + 5, 5*a = 3*f + 19. Suppose 0 = n - 3*n - 2*t, a*t = 3*n + 10. Determine g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-y + 7*y - 4*y)*(-y**2 + 2*y**2 - 3*y**2) + 179*y**3 - 58*y**3 - 374*y**3)*(-2*y + 3*y - 2*y - y**2).\nAnswer: 257*y**5 + 257*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -538.826 to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -197*f + 1 + 86*f - 1 to m + u*f and give u.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of t**6\/8 + 5*t**3\/2 + 26*t**2. Differentiate u(r) wrt r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1132 + 1151. Suppose -3*f - 3*h + j = -h, -8*f + 44 = 4*h. Suppose -4\/17*w**2 - 2\/17*w + 4\/17 + 2\/17*w**f = 0. What is w?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 2)\/((-12)\/48) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 21*c**2 - 21*c - 18. Let m be u(22). What is the remainder when 154 is divided by 41\/(m + -5 - -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2, -0.2, -3\/8, -5328?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111000000111111100 (base 2) in base 7?\nAnswer: 4116325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 532996 divided by 4?\nAnswer: 133249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22 and 83152542.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 26882856 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1626722 and 36.\nAnswer: 29280996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1440 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-1*(-3 + sqrt(2)*-1 + 0)*-4.\nAnswer: 8*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-53230)\/(-20))\/((-8)\/(-16))?\nAnswer: 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10, -7, -24, -41?\n\"Answer: -17*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -204 - -211. Suppose -o = -30*c + 53. Solve -2*p = -5*k + p - 14, 0 = -2*k - c*p + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 324599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -15, 3*s - 1 = -3*z + 20. Is 17 a factor of s\/(-8) - (-269)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 43*x**2 + 13*x + 47. Is q(-4) a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2189 minus 3116460526?\nAnswer: -3116462715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5358 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + 0 - (-3 - 7 - -6). Suppose -2*m = -a - 10 - 4, 5*a - 14 = -4*m. Let h = m - i. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -92 times 5?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17\/4 + -55\/12. Let i = 2.5 - 2.21. Let p = 0.09 - i. Which is the closest to z?  (a) -2\/3  (b) p  (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.1 - 1.9. Let v = -41654 - -41654. What is the closest to v in 2\/7, -7, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2681770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 903434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11313 - -21?\nAnswer: -11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d - 1. Let j be (-20)\/5*18\/8. Let h be p(j). Calculate the highest common divisor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**2 + 5865*u = 0. What is u?\nAnswer: 0, 1955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 4*n + 4*i = -988, -3*i + 974 = 5*n. Does 14 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1004\/24 + 4\/24?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*1 - (0 + -1). Let b(p) = 2*p - 39. Let k be b(22). Put -2, k, u in decreasing order.\nAnswer: k, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -65 + 61. Sort 2, -14, t.\nAnswer: -14, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 3*h**6\/10 + 21*h**5\/20 + h**4\/12 - 3*h**3\/2 + h**2 - 4*h. Let l(x) = 0. What is x?\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1))**(-15)*(v**(-3))**(-4\/11) assuming v is positive.\nAnswer: v**(177\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 + (0 - 4) + 3740\/17?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05 + -0.75. Let u = -257 - -256.5. Let a = u - p. Which is bigger: a or 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -1  (b) 2  (c) 2\/5  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4238, -4235, -4220, -4187, -4130?\n\"Answer: q**3 - 4*q - 4235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36567149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14224?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 40 + 68 = 3*k, 5*k = 4*w - 126. Suppose w = 7*g + 10*g. Let a be 5\/(-2)*(-176)\/20. Solve 3*i - 2 = -f, 3*f = 4*i + g - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 3:08 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 5*g + 43, -140 = -4*u + 5*g - 91 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jj when two letters picked without replacement from ggggkkjkggkggkj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*o + 2*o**2 + 0*o**2 - 1 - 1)*(1 - 1 - 6 + (-2 - 1 + 4)*(2 + 1 - 4)) as i*o**2 + g + q*o and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3514 + 3518. Solve 0 + 0*q - 8\/15*q**2 + 32\/15*q**3 - 14\/15*q**w = 0 for q.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + 4 + (sqrt(76)\/(-2*sqrt(4)) - (sqrt(19) - (sqrt(152)\/sqrt(2) + sqrt(19)))) + -3.\nAnswer: 5 + 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-4) + 0 + 2 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 0.3  (b) 0.2  (c) 0.155  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3.952 - 4. Let j = v + -1.052. Which is greater: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -72*d**3 + 3*d**4 + 3*d**2 + 73*d**3 + 17*d**2 - 5 - 3*d**2 to the form m*d**2 + h*d**3 + i + v*d**4 + a*d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2702*f**4 + 787*f + 63*f - 1527*f - 577*f**4 wrt f.\nAnswer: 25500*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 50 = 5*t - 0*t, -4*t = 4. Suppose -4 = n*c - 5*c. Sort 4, 3, -6, c in ascending order.\nAnswer: -6, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91166 and 2923?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333235461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 95792757 rounded to the nearest one million?\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(242)*-1 - sqrt(242))*-4 - sqrt(242)) + 5 + sqrt(242)*2)**2 + 6*(sqrt(242) + -3)**2 + ((sqrt(242) + 3 + 4 - sqrt(242)) + sqrt(242))**2.\nAnswer: 748*sqrt(2) + 21424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*b - 5*b - 248, b + 1240 = 5*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -292438 divided by 4006\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*f - 3*a = 36*f + 14, 0 = -f - 4*a - 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 4*v**2 - 18*v + 18. Determine q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48499, -161, 1.\nAnswer: -48499, -161, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/4)\/(((-56)\/(-21))\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 221797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*b**4 + 115*b**4 + 2*b**4 + (0 - b**3 + 0)*(2*b - 2*b + 2*b) to the form o*b**3 + v*b**4 + x*b + y + d*b**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 129751205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8*q + 7. Let i be t(-12). Suppose -i*z = -98*z - 2330. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3 + 1 = 0. Suppose h*l - 585 = -t, -t + 292 = -0*l + l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(1446\/(-3132) + (-164)\/(-369)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 + 5655*x**2 - 128544*x + 122892.\nAnswer: -3*(x - 1862)*(x - 22)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 15 = -4*b, b + 20 = 2*b + 5*z. Let l = -11 - -8. Let p be (l - b) + (-1436)\/(-2). What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**2 + 5*g + 5. Let f be q(7). Let u be (7 + -14 - f)*(-7)\/(-2). Solve -4*k = -u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1600*y**4\/7 + 220720*y**3\/7 - 1577*y**2 + 138*y\/7.\nAnswer: y*(y + 138)*(40*y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from bbsnbbannnb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from qunnuquqncmqnqmqqn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 6828.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -21043 - -4?\nAnswer: -21037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 - -27. Let n = i - -8. Are n and -8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 2*y = 116000. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**3 - 800240*w**2 + 2400905*w + 22407140 = 0. What is w?\nAnswer: -160051, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i + 3 - 3)*(2 + 7 + 4)*(i**2 - 2*i**2 + 0*i**2).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - 6) + -12 - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*y - 2*s - 3592526, 3*y - 5*s = -2155560. Round y to the nearest ten thousand.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(225)\/sqrt(9))\/sqrt(5) + 1*(1 + sqrt(5) - sqrt(5)))**2 - (sqrt(2000) - (sqrt(2000) + -2)*3)**2.\nAnswer: -8030 + 482*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 511*u**3 + 51666*u - 51666*u.\nAnswer: 511*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 1\/2*m**5 + 0*m**3 + 0 - 3*m + 0*m**2 - 3\/4*m**4. Find the third derivative of q(h) wrt h.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2443537.38 to the nearest 10000.\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 2 - 25. Suppose -4*k + u = -31. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -304431 (base 5) to base 6.\nAnswer: -114131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/5)\/((-36)\/((-2520)\/(-14)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 5*b + 2. Let a be s(-5). Suppose 5*y + 0*y = 15. Solve 0 = y*v - a*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(891) - sqrt(891)) + 5)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 2:37 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -47 - 467*x + 8 + 224*x + 232*x. Is p(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*q - 5*q - 30*q**2 + 2*q - 7*q + 3*q**3 + 0*q to the form y + v*q**3 + m*q + t*q**2 and give t.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 83 - 81. Let d(g) be the third derivative of -1\/70*g**7 + 0 + 0*g**5 - 3*g**v + 0*g + 0*g**6 + 1\/2*g**3 + 0*g**4. Differentiate d(q) with respect to q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 27*j**3*p**3 - 41*j**3*p**2 + 3*j**3 + 6*j*p**2 + p**3 + 4*p + 5 wrt j.\nAnswer: 162*j*p**3 - 246*j*p**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 + 50*v**2 - 53*v - 92. Determine a(-51).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 220 and 3766.\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4478921 is divided by 895778?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 7. Suppose 3*j + 15 = -u - 13, 0 = 3*u - m*j + 70. Let q = u + 40. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -9. Suppose -24 = u*d - 2*s, 2*s + 1 = d + 13. What is the units digit of (-3 + (-15)\/d)*-12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w + 48. Let z be y(-26). Let x be 3*z\/48 - 231\/(-12). Suppose 2*k - x = 1. Let i(f) = f**3 - 9*f**2 - 12*f + 12. What is i(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 68\/25141 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svvtstvsvsvvvtstvvv. What is prob of picking 2 t and 1 v?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 + 9*t + 12. Let u be x(10). Put -5, u, 112 in ascending order.\nAnswer: -5, u, 112","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1407991289 to the power of 1\/3, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5739288 is divided by 688.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -18082990 and 19.\nAnswer: -343576810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 3*f**2 + 10*f + 16. Let n be x(-6). Let g = n - -154. Solve b + b - g*v = -8, -v = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 13*i - 17. Let x be k(7). Let v = x + 87. Suppose -26 = 3*m - v. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -319 - -316.06. Let d = o + 1.02. What is d rounded to one dp?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 - 2*i - 2. Let j = -13 + 17. Suppose -2 = 3*f - 2*m + 10, -j*f + 5*m - 23 = 0. Let x(d) = -2*d**3 - 2*d - 3. Calculate f*x(v) + 3*o(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/((96\/560)\/(28\/196)*(-15)\/(-4)).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 163*-6*(-6)\/396 - (-123 - -138)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 8:43 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, -2246, 2404.\nAnswer: -2246, 3, 4, 2404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 51  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.832454 months to millennia.\nAnswer: 0.0001527045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*c**2 - 2*c**2 + c**2)*(-2 + 5 - 1)*(0 + 1 + 0).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -18b2b5 (base 12) in base 11?\nAnswer: -277205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) 106  (c) 2.2  (d) 0  (e) -0.07  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -14*a**2 + 2424*a + 2088 = 0?\nAnswer: -6\/7, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 9*t**2 - 1. Let i be (-150)\/(-25)*3\/(-2). Determine k(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -18 + 21. Which is the nearest to -1?  (a) -0.4  (b) v  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2361 + 494 = l - 5*h, 3*h - 14163 = -5*l. List the prime factors of l.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one tenth of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - 1. Suppose 0 = -2*m - 3*j - 4, -5*m - 22 = -3*j + 9. Let f = d - m. Let l(u) = 2*u - 6. Determine l(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2913731816 to the power of 1\/2, to the nearest integer?\nAnswer: 53979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -13450 + 13450.06. What is the third smallest value in -56\/9, h, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 155010609.\nAnswer: 3, 13, 73, 18149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 1 - 2)*(-4 + 4 - 2*d**4)*(-25 + 56 + 22)*(4 - 1 - 2) + 2*d**4 + 3*d**4 - 8*d**4.\nAnswer: -215*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/5 - 258\/5. Let a be q\/390 - 26\/30. What is the nearest to -1\/3 in 0.3, a, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -2\/5160613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11580157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 13163 = -13195, 3*m - 5*r + 40 = 0. Factor -6\/11*h**3 + 4\/11*h**2 + m*h + 2\/11*h**5 + 0*h**4 + 0.\nAnswer: 2*h**2*(h - 1)**2*(h + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-144)\/10)\/((-42)\/140)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 639 divide 1167453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/2 - 840457*h + 11766349\/2.\nAnswer: (h - 1680907)*(h - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*c - c + 10*c + 4*c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 354 minutes after 7:27 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x - 3. Let j(u) = -2*u - 3. Give -4*j(c) + 3*t(c).\nAnswer: 5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -253 - -4.03.\nAnswer: -248.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -22, -59, -108, -169?\n\"Answer: -6*p**2 - 19*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 9 + 9)*(g - g + 2*g**3)*(0*g - g + 0*g) to the form q*g**2 + t + a*g**3 + f*g + y*g**4 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 104756788?\nAnswer: 2, 17, 1540541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -12 * 717810\nAnswer: -8613720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 20 + 14 = 0. Suppose 3*u - 19 + z = 0. What is the units digit of (-594)\/12*(-4)\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -670*b**3 - 666*b**3 + 1340*b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 288602408 divided by 4?\nAnswer: 72150602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -5*(-3 + 1 + sqrt(1584)*-1 + sqrt(1584) + 2 + (sqrt(1584)*-3 - sqrt(1584))))**2.\nAnswer: 1440*sqrt(11) + 633609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 858939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/3641 and -34\/77.\nAnswer: 25487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 2*t**2 + 2*t + 4. Give f(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/57984 and -97\/384.\nAnswer: 57984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4, -89, -254, -497, -824?\n\"Answer: -w**3 - 30*w**2 + 4*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -3, 0.2, -66, 2\/21, -0.1, -0.67?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*w**2 - 256*w - 230*w - 2*w**3 + 1458 + 28*w**2.\nAnswer: -2*(w - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*h**2 + 36*h**3 - 4*h**2)*(2 - 2 + 2*h)*(-84 - 53 + 52) as y*h + o*h**4 + v*h**3 + g*h**2 + x and give o.\nAnswer: -6120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -72.35926 - 761690\nAnswer: -761762.35926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*z - 9*z - 15. Suppose q = -z*q + 24. Suppose j + q = 18. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17 = 2*u - 3*a, 6*u = 3*a - 236 + 203 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265 - 266 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58087*y**5 - 38926*y**2 wrt y?\nAnswer: -3485220*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/645957 and 2\/4433363.\nAnswer: 518703471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k + 1. Let c be (7 - (-4 + 7)) + -2. Suppose -u + 81 = c*u. Calculate the remainder when u is divided by t(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 7:22 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 4*w + 7. Calculate the least common multiple of n(-3) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (14\/(-6))\/(((-32)\/(-12))\/(-8)). Let r(x) be the second derivative of -x**5\/20 + x**4\/2 + 7*x**3\/6 + 5*x**2\/2 - 2*x. Give r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.183 + -0.183. Which is the third smallest value?  (a) 6  (b) q  (c) 0.4  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -14, -267 in descending order.\nAnswer: 12, -14, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/9, 12, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-28)\/21*(-18)\/8. Suppose k*z - 123 = 198. What are the prime factors of z?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/1040 and 11\/2168?\nAnswer: 281840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)\/(sqrt(9)*-2))**2 + (sqrt(5) - -1*sqrt(5))**2*-2 - (-1*(sqrt(720)*-1 + sqrt(720)))**2.\nAnswer: -155\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 15  (b) 0.3  (c) 2\/215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -186*a**3 - 137*a**3 - a - 200*a**3 to the form r*a**2 + i + c*a**3 + b*a and give c.\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42059*r + 42364*r + 9455 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57.625893 microseconds to hours.\nAnswer: 0.0000000160071925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4066983638 to the nearest integer?\nAnswer: 63773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.24 - 0.2. Let s = -0.04 - o. Let g(i) = i**3 - i**2 - 2*i + 2. Let h be g(2). What is the nearest to -1\/3 in h, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 50964.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3770?\nAnswer: 2, 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 8030*l**2 + 457711*l + 56. What is n(-57)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**2 - 8*r + 8. Let t be y(7). Let n = 6 + -10. Let k(g) = -16 + 79 + 6*g - 27 - 32. Let v(x) = x + 1. Calculate n*v(b) + t*k(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28 + 3*u**2 - 2*u**2 + 5596*u**6 - 209 + 232 + 12*u wrt u.\nAnswer: 671520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -13 - ((-1045)\/(-132) - 7)*-14. Let v = 7 - 11. What is the closest to v in 1\/4, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0386 - 3.1314. Let l = -0.19 - -0.02. Let z = r - l. Put z, -0.5, 2\/11 in increasing order.\nAnswer: z, -0.5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -7*u + 60. What is the highest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 66971136 and 1135104?\nAnswer: 66971136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes before 4:10 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 3\/2, -2\/31, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -841, -1700, -2559, -3418, -4277?\n\"Answer: -859*q + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -975 (base 10) in base 5?\nAnswer: -12400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-4) - (0 + (-142)\/4). Calculate the greatest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 4 - 12)*(-236 + 235 - q**3 + 2*q**3).\nAnswer: -29*q**3 + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 281.0078 kilometers?\nAnswer: 28100780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 0, -1, -2, -3?\n\"Answer: -j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6264 and 8352.\nAnswer: 25056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 2 + ((sqrt(931) + (-1 + sqrt(931))**2)*6 + sqrt(931) - sqrt(931)).\nAnswer: -42*sqrt(19) + 5599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k + 2 = u, 0 = -5*u + 4*k + 10 + 130. What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4500 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 15*c + 136. Let r be b(21). Let s(w) = 2*w**3 - 16*w**2 + 24*w - 24. List the prime factors of s(r).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*c - 176*c + 64 = -88*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.83 + 0.17. What is the biggest value in 3\/8, -3\/4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 100249727 to the nearest 100000.\nAnswer: 100200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2*s**3 - 3*s + 7. Let r(i) = i**3 - 2*i + 7. Let l(d) = -2*q(d) + 3*r(d). Differentiate l(p) with respect to p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 402667376 divided by 103.\nAnswer: 3909392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17611616.\nAnswer: 2, 11, 50033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23112106*a**3 - 13*a**2 + 5*a + 112377 wrt a.\nAnswer: -138672636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1822115 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 3 - 4)*(-2346 + 2346 + 2106*i - 2*i + 3*i + 0*i + i - 4 + 4 + (-1 + 0 + 4)*(-3*i + i + 0*i)).\nAnswer: -4204*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3785723\/14 - 269717. Let z = g + -692. Sort 0.3, -2, z in increasing order.\nAnswer: -2, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q + 0*q + 2*q**2)*(-9*q + 163*q + 58*q) + 23*q**3 + 29*q**3 - 42*q**3 + 0*q**3 + q**3 - 2*q**3 as y*q**2 + w*q**3 + z + t*q and give w.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2a (base 15) in base 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(4 - 5)*10\/12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iegiinnenntg. What is prob of picking 1 n, 1 i, and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-56)\/(-105) - (2 - (-10)\/(-6)). Determine s so that 1\/5*s**4 - x*s**2 + 0*s + 0*s**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 2*t**2 + 7*t - 8. Suppose -n + 3 = 9. What is the smallest common multiple of o(n) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -57 - -33. Let z = l + 44. Which is the third biggest value?  (a) 3  (b) 4  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41234\/(-32676) - (3\/(-18) - 1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 504040 is divided by 401?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17053 is divided by 587.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 86000 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 127723750.\nAnswer: 2, 5, 7, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**2 - 17*p + 17. Let k be f(-18). Let z be (28\/(-18))\/2 - -1. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17340 divided by 5?\nAnswer: 3468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1077*l**2 + 566*l**2 + 509*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xea when three letters picked without replacement from ehhxaehxqxx.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than -151\/12816764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1362229 is divided by 1512?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 12*y**3 + 1. Suppose 0 = 2*b - b - 1. Is h(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60669 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*l + 8 = 34, 0 = -f + l + 7. Suppose -f*d + 4*v + 2498 = 0, -3*v + 309 = d - 183. What are the prime factors of d?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 2*w, -o - w + 6*w + 22 = 0. Solve 3*p + 5 = o*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 3*p + 25 = h, -2*h + 38 = 3*p. Suppose 2*x + 3 + 5 = w, -5*x - h = w. Solve -3*i + 2*b + 15 = 0, -3*i + w*b + b = -18 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 (base 12) in base 13?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 170 = 12*x - 46*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 189 - 182.05. Let u = t - -0.05. Let f = -8 + u. Which is the third biggest value?  (a) -0.3  (b) 2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000030659 to seven decimal places.\nAnswer: -0.0000307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11, -51, -115, -203, -315?\n\"Answer: -12*i**2 - 4*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -89\/4 - -275\/12. Which is the nearest to -4?  (a) 3\/7  (b) -1.1  (c) x  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 486*v**5\/7 + 30834*v**4\/7 - 18444*v**3\/7 - 74952*v**2\/7 - 4176*v - 3072\/7 = 0. Calculate v.\nAnswer: -64, -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 5*z - 2. Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j - 2. Let a be n(-7). Let w = a + 19. Let y = w - 7. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 631962 = -82*y. What is the hundreds digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + -1852?\nAnswer: -1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -78*x**2 - 8187*x + 315. Give h(-105).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 2*k**3 - 3*k**2 - 3*k - 1. Let g = -22 + 25. What is d(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6888615 by 2.\nAnswer: -6888615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1064*n + n**3 - 547*n - 528*n + 25*n**2.\nAnswer: n**3 + 25*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -4*y**2 - 3*y - 8. Let j(h) = -8*h**2 - 7*h - 17. Give 4*j(o) - 9*w(o).\nAnswer: 4*o**2 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + -2*sqrt(19)*-5)**2 + -2)*-6.\nAnswer: -57018 - 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.333 + 3.333. What is the nearest to 0.1 in r, 0, 4, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/4*68\/(-51). Solve -w*c - 2*k = -k, 3*k + 5 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000003921 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 442138, 442145, 442148, 442141, 442118, 442073, 442000?\n\"Answer: -c**3 + 4*c**2 + 2*c + 442133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + -123.7608.\nAnswer: -123.9608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 140*b**3*p**2 + 2*b**3*p + 2*b**3 + 410*b**2*p**2 + 7*b**2 wrt b.\nAnswer: 840*p**2 + 12*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -6388  (b) -2\/5  (c) 4  (d) 0.5  (e) 11.6  (f) 2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.2681, -23, 0?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -101*x**3 + 2*x**2 + x. Suppose -25*p = 4*p - 435. Calculate the remainder when f(-1) is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2 + 2)*(-6 + 1 - 2)*((w + 0*w + 0*w)*(-2*w + 0 + 0) - 90*w**2 + 2216 - 2216) to the form j*w + z + a*w**2 and give a.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4  (b) 6  (c) -10  (d) -16  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31 = 5*x + 4*l, -7*l + 4 = -6*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -3*p - 4. Let f be b(7). Let c = -6 - f. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-14 - -17)*(20 + -1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -24.5 - 17.3. Let j = r - -42. What is the third smallest value in -5, j, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 81 and 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 122708125?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*u**3 - 88*u**2 - 7*u**3 - 5*u**2 - 1 + 2*u**2 + 0 as v*u**2 + m*u + w*u**3 + k and give v.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 41360285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 - 1 = -4*i. Suppose -4*o - 40 = -5*g, -g - 4 = o - 3. Suppose -5*x + 5*j = i - 38, 0 = -g*j. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-16 - (-24 + 7)) + 6 - -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.63 and 767407?\nAnswer: 5087908.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -262 - 122. What is the remainder when n is divided by 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pgn when three letters picked without replacement from {k: 1, h: 4, p: 4, g: 2, n: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14.09 - -13. Let v = h + 0.19. Let x = -0.89992 - v. What is x rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/10, -1\/10, -3\/445, -2.2 in decreasing order.\nAnswer: 1\/10, -3\/445, -1\/10, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eenenmmvveevvmea. What is prob of sequence nv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -15, -3*q = -2*f + 6*f - 1. Suppose 0 = 3*v - f*v + 44. Suppose -2*y + 4*y - v = 0. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -25*j - 495. Let x be z(-20). Put -2, 1, -61, x in ascending order.\nAnswer: -61, -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -6*(sqrt(4) - sqrt(16))\/sqrt(2).\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -5*k + 16. Let f(g) be the third derivative of g**4\/8 - 1173*g**2. Give b(f(w)).\nAnswer: -15*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13, -18, -23?\n\"Answer: -5*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3*-1*2\/(-3). Let u = 18 + o. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -0*p + 509996. Let m be (-2)\/3 + p\/(-6). What is m rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/25?  (a) 16  (b) 2  (c) -1.012  (d) 39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4839518 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/4 + 15\/10. Let y(b) = -9*b**3 + 5*b**2 + 5*b - 3. Let l(z) be the first derivative of z**2 - z - z**4 + 2\/3*z**3 + 15. Determine j*y(h) - 5*l(h).\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -3*s - 5*f - 0, -2*s - f = 0. Find v, given that 1 + 1\/4*v**s - v = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42 - -49. Let c(w) be the second derivative of 1\/3*w**4 - 1\/15*w**6 - 1\/21*w**s - 1\/3*w**3 - w**2 + 0 + 1\/5*w**5 - 4*w. Suppose c(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -764, -1533, -2306, -3083, -3864, -4649, -5438?\nAnswer: -6231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3506 - 1421. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, -118, 3106?\nAnswer: 3106","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {v: 2, n: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (sqrt(13) + 0)**2 - 1*(sqrt(39)\/sqrt(3) + sqrt(13) - sqrt(13))) + -5.\nAnswer: -sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 91503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1558 = -4*g + 1066. Let d = -14 + 30. What is the greatest common factor of d and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j + 5*g + 32, -3*g = 12*j - 10*j - 48. Calculate the greatest common factor of 111 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.1 + -12.1. Let f = u - -7. What is the nearest to 1 in -0.2, 2, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*f + 370*f - 182*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 160617053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ojpb when four letters picked without replacement from objbp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 1, 16, 25?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/(-1))\/((-4)\/(-14)). Let d(y) = -1237*y - 11091. Let a be d(-9). Calculate the highest common divisor of a and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*-2*sqrt(2) - (sqrt(2) - (sqrt(10)\/(sqrt(5) - sqrt(80)))**2).\nAnswer: 2\/9 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -16. Let b be m\/15 - 32\/(-20). Find the first derivative of 4 - 6*k - b - 3 + 6 wrt k.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 454 - 447. Which is the third biggest value?  (a) -1  (b) -2\/3  (c) l  (d) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 210\/(-27) + 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 21*j**2 - 20*j + 12. Give t(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.28 or 172.2?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -20. Let z be (1\/3)\/(v\/18). Suppose 3*t - 4 = -r + 2, 2 = t + r. Which is the nearest to z?  (a) t  (b) -2  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5045275 (base 9) in base 8?\nAnswer: 12200534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000142 to six dps.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3\/8 - 39109*o**2\/8 + 382749735*o\/8 - 7258133475\/8.\nAnswer: (o - 19545)**2*(o - 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2. Suppose 2*k + 2 = j - 1, 3*k + 12 = 4*j. Let d(p) = 13*p + 3 - 12*p - j. Calculate d(m(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -81 + 255 + 2*j**3 - 88 - j - 86. Let t(x) = x**3 - x. Let q(z) = -2*z - 8. Let n be q(-5). Suppose -13*r + 12*r = -n. What is r*t(p) - 2*f(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -6*j - 28. Let s be h(-5). Let o be 2 - (s*132)\/(-3). Suppose d = 2*x + 29, 5*d - o = d - 5*x. What is the greatest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.759 - 0.459. Which is the third biggest value?  (a) -0.25  (b) 6  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.04 and -11685?\nAnswer: 467.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 202 = -27*f + 418. Suppose 0 = -6*r + 4*r + 8. Suppose r*q = q + 66. What is the remainder when q is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s**2 - 10*s. Let d(v) = -3*v + 15. What is d(r(n))?\nAnswer: -9*n**2 + 30*n + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -218382.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36342, 290586, 980626, 2324358, 4539678, 7844482, 12456666?\n\"Answer: 36316*y**3 + 2*y**2 + 26*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -521768?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.083895cm to kilometers.\nAnswer: 0.00008083895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((4 + 4 - 5)*(-2 + 5 - 5) + 1 + 0 + 0 + 4 - 3 + 1)*(2*w + 10*w - 21*w).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -5*s**2 - 19240*s = 0.\nAnswer: -3848, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 AM and 6:46 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -385*p**2 + 357*p**2 + 1225*p**2.\nAnswer: 1197*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-4\/5)\/(l\/(l*l**7*l))*l*l\/(l\/(l**(-3)*l))*l*l*l**2 assuming l is positive.\nAnswer: l**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3087191767 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 11*f**2 + 13*f - 2. Let z(o) = 5*o**2 + 1 - 28*o**2 - 6*o + 9*o**2 + 9*o**2. What is -4*k(y) - 9*z(y)?\nAnswer: y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2.1  (b) -3  (c) 3.8  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000387110435 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**2 + 5*p - 6. Suppose -243*f = -270*f + 6453. Calculate the remainder when f is divided by d(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + -5. Let q = -0.047 + -6.153. Let a = q - n. What is the second smallest value in a, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-4 - -2) + 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.923 and -17292.\nAnswer: -50544.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -7*q**4\/4 + 5*q**3\/3 - 9. Find the third derivative of c(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (198\/(-30) + 7)*5365\/261*9\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/10*-35 + 6. What is the greatest common factor of k and 325?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**3 + 9*j**2 + 7*j - 4. Let g be y(-7). Let n be (-148)\/(-5) + 4\/10. Calculate the highest common divisor of g and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/2847 and 115\/221208.\nAnswer: 16148184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 4*w - 331, 5*w - 2*q + 4*q - 398 = 0. Solve w*s = 301 + 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g + 4. Let x(k) = 2*k + 12. Suppose 5*w - 11 = 3*m, -2*w + 0*m + 5 = -m. Let v(d) = w*x(d) - 11*f(d). What is the tens digit of v(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -422, 0.3, 5, -2\/15.\nAnswer: -422, -2\/15, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -38.07 + 0.07. Let k = o + 59. Let n = -22 + k. Which is the closest to -0.1?  (a) n  (b) 8\/5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7102343 to the power of 1\/2, to the nearest integer?\nAnswer: 2665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of 36*c**2 - 30*c + 45. What is the tens digit of k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 63 + -1 - (1 + 3). What are the prime factors of 6 - (-8 + -1)*y\/2?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 - (1 + 0))\/((-4)\/4). What is the closest to 1 in g, -5, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 44405244 + -25?\nAnswer: 44405215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -2*q**3\/3 + 2*q**2 - 2*q - 4. Let k(m) = 304 + 4*m**2 - 6*m**2 + 3*m - 306. What is 5*k(v) - 4*n(v)?\nAnswer: -2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the first derivative of -2*q**3\/3 - 21*q**2\/2 + 14*q - 3. What is the smallest common multiple of v(-8) and 81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**3 + 4*o**2 + 2*o + 2. Let j be a(-2). Let c be 3 + 137\/(-6) + (-1)\/j. Is c\/30*(-9378)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of 0*o + 0 + 57*o**2 - 7\/40*o**6 + 0*o**4 - 25\/3*o**3 + 0*o**5. Find the first derivative of v(x) wrt x.\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 7. Let x(g) = -18 - 16 - g - 13 + 42 - 7. Let c(a) = 5*m(a) + 3*x(a). What is c(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*r + 97*r + 14485 = -291*r + 1381 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -1505, -3028, -4589, -6200, -7873, -9620, -11453?\n\"Answer: -2*r**3 - 7*r**2 - 1488*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/25 in -1\/3, 1.4, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 153161260 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.43 - -0.03. Let z = n - -2.9. What is the closest to 0.1 in z, -0.04, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -115*k**3 + 23*k**2 + 23*k. Let z(w) = 29*w**3 - 6*w**2 - 6*w. Calculate 6*p(g) + 23*z(g).\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11\/9, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1913507 divided by 5\nAnswer: -1913507\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.034 + 4.966. Which is the nearest to 1?  (a) -2  (b) y  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 38 in -2, 149, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*a - 34*a + 2*a.\nAnswer: -46*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + m = -0*m - 14, -2*r + 4*m = -2. Suppose -8*p - t - 1 = -5*p, -2*p - r*t = -4. Let k = 4 - 5. Is k < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3.2 + -1. Let d = n - 1.2. Let t be 2\/(-10) + (0 - 0). Which is the closest to -0.1?  (a) 0.1  (b) t  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22*t**5 + 602*t**4 + 34945*t**2?\nAnswer: -1320*t**2 + 14448*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 405609, 811201, 1216795, 1622391, 2027989, 2433589?\n\"Answer: z**2 + 405589*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 615\/(-369)*27\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, 6, 17, 28, 39, 50?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (25 - -3) + (-63 - -56)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = -3*f - 9242 + 9193, 5*f + 12 = -2*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 44, 24, -26, -118, -264, -476, -766?\n\"Answer: -2*c**3 - 3*c**2 + 3*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**4\/4 - 27*y**3\/2 - 291*y**2\/4 - 108*y - 48.\nAnswer: -3*(y + 1)**2*(y + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -l + r - 6, 4*l - 2*l - r = -10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -100, -567, -1408, -2629, -4236, -6235?\nAnswer: -8632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -130*-0.1184\nAnswer: 15.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 339 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 e when three letters picked without replacement from aeeeaaeeaeeeaeeeeeee.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12402010 (base 8) to base 4.\nAnswer: -22200100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -16 + -5. Let x = 20.999971 + j. Round x to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*f - 173*f + 13*f + 1254 + 9669 = 0 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 5. Suppose -4*s = -3*s + 3. Let f be ((-1)\/s)\/(y\/(-2)). Sort 2, -3\/5, f.\nAnswer: -3\/5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010101101011011101110 (base 2) to base 7.\nAnswer: -32602142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2344303 (base 6) in base 2?\nAnswer: 11101111110101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-274)\/2877 - (1 - 1726\/42). Let k(c) = c**2 - 35*c - 215. Give k(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -14500a19?\nAnswer: 14500a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/3 and 1.457 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 88399*j**6*p**3 - 40*j**2*p - 2*j**2 + 4*j*p**3 + 3*j*p**2 wrt j.\nAnswer: 10607880*j**3*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnonnon. What is prob of sequence nn?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1116 + 1135 + 1120 + 2*p - 3371.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -9*j + 4*j + 20, -2*j = -8. Suppose 2*b - 3*a = 2*a + 718, r = -4*b - 2*a + 1484. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1471 + 1477. Sort y, -5, 9 in descending order.\nAnswer: 9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, 304, -3\/2, 5 in increasing order.\nAnswer: -3\/2, 5, 48, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-3)\/(-12) - ((-2778)\/(-8))\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -909*j**5 + 3*j**3 + 2*j**2 + 687*j + 2.\nAnswer: -54540*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3853269, -3853273, -3853277, -3853281?\n\"Answer: -4*o - 3853265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c - 2 = -6*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the second derivative of j**6\/30 - 9*j**5\/5 + j**4\/6 - j**3\/6 - 2*j - 11. What is the third derivative of t(y) wrt y?\nAnswer: 24*y - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 8*j + 2. Suppose 7 - 3 = 2*o. Suppose -4*l = o - 18. What are the prime factors of r(l)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5151200, 10302401, 15453602, 20604803, 25756004, 30907205?\nAnswer: 36058406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 447*s - 11813. Let h = -53 - -119. Calculate the remainder when j(27) is divided by h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18\/1447 + -1133\/490533. Find the common denominator of 18\/11 and f.\nAnswer: 3729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nrc when three letters picked without replacement from {c: 6, r: 2, n: 2, u: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 1 - (2 + 1))\/(-1). Suppose 5 = -w*h, 0 = 5*y - 4*y + h. Put -5, 4, 5, y in decreasing order.\nAnswer: 5, 4, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 7*v**2 + 7*v - 6. Let n = -3160 - -4431. Suppose -1272*m = -n*m - 8. What is z(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -15 - 3*j - 60 + 14*j. Let n be t(7). Which is the nearest to 4?  (a) 1\/6  (b) n  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1\/3 + 7\/12. What is the closest to -0.1 in -0.07, w, 2\/11?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-10) + 119391\/(-255). Is d bigger than -468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 7*k**2. Let l be b(6). Let w = 295 + l. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -18  (b) -0.2  (c) 9\/4  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-1))\/a**0)\/(a*a*(a**(-1\/3)\/a)\/a)**(6\/5)*(((a**(1\/4)\/a)\/a)**(5\/12))**(-2\/65) assuming a is positive.\nAnswer: a**(659\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p - 4. Let n be l(15). Let g(k) = -2*k - 35. Let t be g(n). Find the third derivative of t*v**2 - 4*v**5 + 0*v**2 + 24*v**5 wrt v.\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -54*b**2 + 88 + 112\/5*b - 2\/5*b**4 + 56\/5*b**3 = 0.\nAnswer: -1, 2, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 540 (base 8) to base 14.\nAnswer: 1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of 497*s**5\/60 - 38*s**2 - 64*s. Let n(q) = 8*q. Calculate n(t(k)).\nAnswer: 3976*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 9 + 1. Let z = y + 3. Suppose z*i + 4*p - 1098 = 122, 5*i = p + 1195. What is i rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37.3 times -1.7\nAnswer: -63.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -318*z = -2*k - 313*z + 6787, 2*k + 4*z = 6742. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-4 - (-205)\/55). Let n = x + 13. What is the remainder when 59 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + 18*q**2 - 38*q + 43. Let m be p(-20). Suppose -6523 = -m*y + 440. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -52*(-45)\/14040*150.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -1\/3  (b) -264  (c) -4  (d) 6  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*r + 50*r + 1 = 0. Let h(m) = -r - 10 - 4*m + 2. Determine h(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29156 * -1.\nAnswer: 29156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + g + 6 = -g, 5*h - 5*g - 25 = 0. Solve 0 = -3*p + 7 - h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.06 * -0.031.\nAnswer: 0.00186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 846 + -844. Suppose 0 = o*k + 2*w - 1022, 5*w + 2026 = k + 3*k. What is the remainder when k is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 195760, 195767, 195778, 195793?\n\"Answer: 2*s**2 + s + 195757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 135429891991 and -315.\nAnswer: 135429891676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d - 147. Calculate k(37).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -1  (b) -4  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -17da (base 16) in base 5?\nAnswer: -143411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 254945 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2878 + -1626. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52952129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -14*p - 18. Let y be g(8). What is y rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 2*c - 2. Let g(v) = 11*v + 195. Let r(z) = -7*z - 122. Let o(p) = -5*g(p) - 8*r(p). What is h(o(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -5215, -5221, -5225, -5227, -5227, -5225?\n\"Answer: b**2 - 9*b - 5207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f + 6 = -36. Let x be (f - 5)\/(-4) + (-2 - 5080000). Round x to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -17, 5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65265?\nAnswer: 3, 5, 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 147*h**2. Let d(a) = -2*a**2 - 6*a + 3. Let y(c) = -4*c**2 - 14*c + 7. Let n(g) = 7*d(g) - 3*y(g). What is n(f(o))?\nAnswer: -43218*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23.9 - 0.16808457.\nAnswer: -24.06808457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, -3, -2 in decreasing order.\nAnswer: 84, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.3, -4, -0.0242, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -12 - (-108)\/6 - (-3613 - 1).\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -10*y**5 + 944*y**4 - 8136*y**3 + 12244*y**2 + 14194*y - 7140 = 0.\nAnswer: -1, 2\/5, 3, 7, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4725711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -0.2  (b) -4  (c) 9809  (d) 1  (e) -1\/7  (f) 10  (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87206 is divided by 1209?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from apdcoodckaac. What is prob of picking 1 d and 1 c?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243)*-2)**2 + -5.\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2272 divided by 568\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**2 + 12*a - 11. Let s be p(11). Are -1 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 471*c**2 + 3*c - 1. Let p(w) = -471*w**2 - 4*w. Let m(j) = -3*p(j) - 4*t(j). Let y be m(-2). Let a = -1206 - y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 0.01, 3526, -118?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000361176 rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -147.4 to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*((-54)\/5 + 2). Suppose -p = 120 - 13. Let w = a - p. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171)\/(sqrt(36)\/sqrt(4)) + (sqrt(2299)*-4 - sqrt(19)))**2.\nAnswer: 36784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve p**2 - 32746*p + 65488 = 0.\nAnswer: 2, 32744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -175 + 175.0000081. What is v rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -430 + 1350 = 23*t. Let b(f) = f**2 - 2*f - 3. Calculate the lowest common multiple of b(-5) and t.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 86530, 176110, 265690, 355270, 444850?\nAnswer: 534430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1584, -1583, -1580, -1575, -1568, -1559?\n\"Answer: n**2 - 2*n - 1583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 416495\/26 - 16019. Sort -1\/2, 5, -4, -10, p.\nAnswer: -10, -4, -1\/2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 9:24 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 4, -2*l - 20 = -4*t - l. Suppose 5*k - 2*u = 2*u - 1362, 5*u - 15 = 0. Let i = -256 - k. Calculate the remainder when i is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -7. Let l(a) = 2*a**2 + a. Let k be l(r). Solve 4*p - 5*o - 3 + 11 = 0, 3*p + o + k = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102233 is divided by 1936.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 64 + -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138128 and 11418064.\nAnswer: 1016207696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 6*n**2. Let d(y) be the third derivative of y**8\/20160 + y**5\/15 + 2*y**2. Let t(h) be the third derivative of d(h). Determine o(t(s)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 8*-10.9\nAnswer: -87.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v - 16. Let z(k) = k + 11. Let m(c) = -3*t(c) - 4*z(c). Let x(u) be the second derivative of -u**2\/2 + u. Let a(j) = m(j) + 2*x(j). Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t**3 + 0*t**3 + 2*t**2 + t**2 + 3*t**2 to q + l*t + i*t**2 + x*t**3 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 3:13 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the third derivative of -10*x**2 + 0*x + 0*x**4 + 0 + 3*x**3 - 1\/15*x**5. What is the first derivative of l(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-2 + 1*sqrt(98) + sqrt(98) + 2*sqrt(98)*4 + 1) - (3*2*(1 + sqrt(98))*5 + 5))**2.\nAnswer: 23100*sqrt(2) + 246089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from cxaclllllclxccx.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-16)*(80\/(-520)*52)\/(11\/5).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that 3*y**5\/4 + 6127*y**4\/2 - 14303*y**3\/2 + 3066*y**2 + 12259*y\/4 - 4087\/2 = 0.\nAnswer: -4087, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -3*y + 126. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c + 8. Let g be a(7). Suppose -4*i + 21 + g = 0. Let n = 7 - 5. Calculate the least common multiple of n and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -k**8\/10080 - k**5\/20 - 3*k**2. Let z(c) be the third derivative of v(c). Let a(h) = -h - 3*h + 5*h. Give z(a(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 562.7059 millilitres to litres.\nAnswer: 0.5627059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/16 and -89\/6300830?\nAnswer: 50406640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 4\/5  (b) -1\/23  (c) -1  (d) -5  (e) -0.31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 10*y**2 - 4*y - 84. Let l(v) = -2*v**2 + v + 17. Give -3*a(b) - 14*l(b).\nAnswer: -2*b**2 - 2*b + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -4*i - 3. Solve 10 = 2*o - i*y, 5*o - y + 35 = -3*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 6, 3*b = -5*d + 26 + 23. Let k = 13 + b. What is the least common multiple of 12 and k?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -52.1851 + 52.54. What is d rounded to 2 decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200807171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/37, -1\/5, -2, 12, 7.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 545 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13418 is divided by 3351?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-1 + 0\/(-1)). Suppose 2*r - 10*x + 6*x = 2, -r = -4*x - 7. What is the third smallest value in s, r, 6, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 73, 173, 305, 475, 689?\n\"Answer: r**3 + 10*r**2 + 63*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 206 plus 7?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12884?  (a) 0.5  (b) -1  (c) 8\/3  (d) 0  (e) -18  (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1*(5 + -4))\/(-1). Let f(t) = 4*t + 4 + 0 - 3*t + q. Calculate f(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -416 + 1023 - 3619 - 6*f to the form p + i*f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z + 3. Let t be p(-6). Let q(s) = -s**3 - 2*s**2 + s - 4. Let b be q(t). Let i be (-1)\/((-11)\/(-2) + (-25 - -22) - 3). Solve d + b = -i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3825603 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 5 = -4*h + 2*u, -3*u - 9 = 0. Suppose 26 - 1 = 5*s + h*r, 0 = s + 5*r - 25. Let c = 10 + -6. Solve s = -c*w - 2 + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3*(-8)\/12 - (1 - 17). Suppose -4*s = 3*x + 3 - 39, -2*s + 3*x = -a. Let f(i) = 5 - s*i**2 - 5 + 4*i**2. Let r(y) = 3*y. Give f(r(l)).\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-70)\/(-21) - 2\/6. Suppose -3*i - 13 = c, -f*c - i - 3 = -4. Suppose -c = -t + 1. Solve t*j + 25 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 462 + -452. Let x be (f - (22 - 9))\/(3\/4). What is the second smallest value in -0.5, 4, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 - 810206*c + 1620420.\nAnswer: -2*(c - 2)*(c + 405105)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 331 divide 14410085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 8*c**4 + 3116*c**3 + 1536*c**2 - 7772*c + 3112 = 0.\nAnswer: -389, -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.056415496 + 1.\nAnswer: 0.943584504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - (-11)\/(-2)) + (-10)\/(-20). Let a(b) = b + 11. Let q be a(z). Suppose 15 = q*x, 5*x + 58 = 5*n - 177. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/14 - 14\/98. Let k(a) = -a + 8. Let l be k(5). Solve -l*u + 17 = x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 3*t + 10*t. Let q be 4 - (-2 + t - 5436036\/(-12)). Round q to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144017632 to the power of 1\/3, to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 11:01 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47*b + 94 = 141*b. Let d(h) = -31*h**2 + 2*h. Let a be d(-3). What is the remainder when (a\/10 + b)*(-3 + -1) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6929.517 milligrams?\nAnswer: 6929517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2753d (base 14) to base 2\nAnswer: 10111101100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000835 to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of r**2\/2 - 7*r + 3. What is b(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -135*t**3 - 1160*t**2 - 3590*t - 3590. Let a(f) = -5*f**3 - 43*f**2 - 133*f - 133. Let r(j) = -55*a(j) + 2*l(j). Solve r(d) = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + (-225)\/1 - (7 + -11). Let w = i - -227. What is the fourth biggest value in 3, w, 1.7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 131 + -130. Let k = 13 + -7. Let y = k - s. Which is the second smallest value?  (a) y  (b) -3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4 - (1 - -2)) + 3 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i**3 + 2. Let l(v) be the third derivative of 0*v + 5*v**2 + 0 + 1\/6*v**3. Determine j(b) - 3*l(b).\nAnswer: 2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of -a**5\/10 - a**3\/6 - 301*a**2 - 3*a. Give m(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 496129\/7 + -71052. Let v = -176 - w. Let n = -0.2 + 0.1. Which is the third biggest value?  (a) n  (b) v  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 26*i - 16. Let b be j(4). Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62888, -125730, -188572, -251414, -314256?\nAnswer: -377098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 6*r**3 - r**2 - 2*r + 2. Let v be p(1). Let m be -4*((-14)\/4)\/7. Suppose -2*b - m*b + 8 = 0. Solve -4*a - 4 = v*z + 4, -b*a - z + 2 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/5 and -53\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y - 1262 = n - 1278, -2*n = -5*y - 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3179304 divided by -82.\nAnswer: -38772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 393 = 381 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 9:22 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0.2, -0.4, 9, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-10))\/(21\/(-30)*4)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -2*s + 4. Suppose -s*f + 72 = 20. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -346 (base 10) in base 6?\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -91654, -366636, -824946, -1466584, -2291550, -3299844?\nAnswer: -4491466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 349, 698, 1047, 1396?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3387999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + m - 2*l - 153, 2*m - 5*l = 78. Let j = m - 29. Suppose j = -2*t - 4*v + 50, v + 3*v = 0. Which is greater: 26 or t?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -16*y**3 + 1. Calculate q(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 20 = 0, -2*t - t = 5*v + 17. What are the prime factors of 9\/6 - 2737\/t?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4525394*l**5 - 17*l - 4673?\nAnswer: 90507880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 167 - 97. Suppose d - 2 = 4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (175\/105)\/((-10)\/(-12)). Let k(i) = 1. Let q(g) = 6*g - 1. Calculate w*q(u) + 2*k(u).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*l - 4*l + 0*l)*(l + 1 - 1)*(-31 - 66 + 180)*(3 - 3 + 1)*(-7 + 3*l + 7).\nAnswer: 498*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 19*n**2 + 56*n - 1. Let m = -85 + 89. Let r(t) = 6*t**2 + 19*t. Let g(k) = m*i(k) - 11*r(k). What is the units digit of g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**2 + 80*y + 156. Determine f(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17331742?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000054 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -19*h + 105*h - 29*h - 26*h - 28*h. Let j(f) = 36*f**2. Give z(j(w)).\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.5  (b) 0  (c) 4\/3  (d) 3  (e) -2870\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78425 is divided by 8713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g = -5*v, -20*g = 3*v - v + 3*v - 25 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -0*s - 144. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.21  (b) 0.5  (c) -3  (d) 1  (e) -1\/3  (f) -0.1  (g) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 138 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/3))**33*(m**(-1))**(-32) assuming m is positive.\nAnswer: m**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 771245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1937\/3 + -646. Which is the second biggest value?  (a) 67  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**2 - 3*k**2 + 5*k**2)*(k - 41 + 54 - 27).\nAnswer: 2*k**3 - 28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 607 divide 30933599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -599*x = -1203*x - 963*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 760 and 32?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -64673566*o - 17330893?\nAnswer: -64673566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 20731 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(162) + sqrt(162)*-1 + 0)**2 + 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the third derivative of q**5\/60 + q**4\/24 - q**3\/6 - 5*q**2. Give z(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaaassasasasss. Give prob of picking 3 s.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 248\/5 + 8\/20. Suppose -4*n + l = -l - 210, -b = -n + l. List the prime factors of n.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -8*u**3 + 39*u**2 - 2. Let h(a) = 40*a**3 - 195*a**2 + 11. Give 2*h(q) + 11*p(q).\nAnswer: -8*q**3 + 39*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24401155 to the power of 1\/2, to the nearest integer?\nAnswer: 4940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -114 - -130. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 39 = -2*f - j, -3*j + 21 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 68 + -762. Let o = z - -7596\/11. Calculate the common denominator of o and -11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/((-120)\/14) - 38825\/30. Which is bigger: -1295 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2 - 4*y.\nAnswer: 2*y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 21*o. Let s(i) = 23*i**2 - 13*i**2 - 16*i**2. Calculate f(s(v)).\nAnswer: -126*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1094977, -2190061, -3285145, -4380229?\n\"Answer: -1095084*q + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4051736400 to the nearest one million.\nAnswer: 4052000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 50.\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14787391021.0000431 + -14787390415. Let x = -606 + c. What is x rounded to six dps?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5 + 0.2. Let i(s) = -s**3 - 5*s**2 + s + 3. Let q be i(-5). Let x be q\/14 + 2 + -2. What is the second biggest value in 4\/7, x, t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/4))**(-31)\/(v**10*v**(-4)))**(4\/3) assuming v is positive.\nAnswer: v**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*j + 6*j. Suppose j*n - 36 = -n - 5*h, -4*n = 4*h - 80. Find the third derivative of 14*i**2 - n*i**2 - 20*i**4 + 8*i**4 wrt i.\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5733, -5738, -5755, -5790, -5849, -5938?\n\"Answer: -f**3 + 2*f - 5734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*v + 5*j + 3 = 66*v, -2*v = 5*j + 23 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 127580 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = 2 + 4. Suppose 7*x - 5 = 16. Suppose -267 = -a*z + x*g + 137, 404 = 2*z - 4*g. What are the prime factors of z?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 - -20?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -315 - -327. Calculate the common denominator of 73\/130 and d.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/15 and -58\/4191.\nAnswer: 20955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*a**3 + 11*a**3 - 13*a**3 + (4 - 4 - 2*a)*(-4*a**2 + a**2 + a**2) - 16688*a**2 + 16688*a**2 + 261*a**3 as s*a**2 + k*a + c*a**3 + v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 5. Solve 0 = y + 5*h + 7, 3 = -j*y - 0*y + 5*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, -0.01, -132.8, -0.035?\nAnswer: -132.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*c = 25*c + f + 15, 6 = -2*c - 2*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) -933214  (c) 3  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**4 + 4*g**3 - 5*g**2 + 2. Let i(f) = -2*f**4 + 6*f**3 - 6*f**2 - f + 3. Let j(n) = 3*h(n) - 2*i(n). Factor j(x).\nAnswer: x*(x - 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 AM and 2:06 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -80667725 or -80667724?\nAnswer: -80667724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -104.65 - -1.65. Let v be (0 - 7\/(-14))*0. Which is the closest to 0?  (a) v  (b) r  (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61 is divided by 2\/(12\/122) + 10\/15.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 0*k + 20 = h, -5*h = 2*k - 76. Calculate the remainder when h is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*j**2 - 127758*j - 8 + 127758*j + 8.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - ((12 - -8) + -24) - 23.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2742494669?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 3) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ug when two letters picked without replacement from {g: 1, u: 2, y: 11, b: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1452, -1482, -1514, -1548, -1584, -1622?\n\"Answer: -s**2 - 27*s - 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-54)\/(-8)*848\/6. What are the prime factors of (1 - 2) + m\/18?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 18091310 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is ((2 - -3) + -4)\/(-20 + 19) + 256295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/9 + 291\/27 + -6. Solve -j - 6 = -h, v*j + 10 = h - 0*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*c + 7*c + 12*c.\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -722.34 + 722.74. Let x = 2 - -1. What is the nearest to -1\/4 in -8, z, -4\/3, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*399\/1176 - 3\/(-12). What is the nearest to s in 5, 1\/4, 2, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 26*g**4 + 4*g**3 - 38*g**2 + 2*g. Let t(k) = 3*k**4 + k**3 - k**2 - k. Let j(d) = -a(d) + 6*t(d). Factor j(h).\nAnswer: -2*h*(h - 2)*(h + 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2086 divided by 3.\nAnswer: -2086\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 - 57\/4. Let l be (-3)\/(3\/97) - 2. What is the common denominator of l\/20 - 1\/4 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -78442, -155935, -233428?\nAnswer: -310921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 24\/(-36)*(-117)\/6. Let v(t) = 2*t**2 + 2*t + 1. Let c be v(2). Calculate the highest common divisor of c and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -52, -1456679, 3\/7 in increasing order.\nAnswer: -1456679, -52, -1\/6, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 4*i = -4*l - 112, 0 = 4*l - i - 210. Let h = -54 + l. Let q(u) = -4*u**2 + 2*u. Let k(x) = 8*x**2 - 5*x. What is h*k(f) - 5*q(f)?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 3*l + 1. Suppose 2*j = 2*s - 4, -s + 2*j + 1 = -1. What is the units digit of d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001397006138 to 7 decimal places.\nAnswer: -0.0001397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 4*b + 6. Let f be i(-4). Suppose 8 + 1 = q. Calculate the least common multiple of (12\/f)\/((-5)\/25) and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 11:02 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2287319 - -2?\nAnswer: 228731b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1904078 divided by 122?\nAnswer: 952039\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 n when three letters picked without replacement from xqjxxnfxnxqn?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 85 - 79. Which is the nearest to -0.1?  (a) 1\/6  (b) 1\/3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3504439836?\nAnswer: 2, 3, 32448517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1143535003 divided by 5\nAnswer: -1143535003\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.08 + -5.08. Let k be 10\/(-6)*(6 + (-224)\/40). Which is the nearest to -1\/4?  (a) 2\/3  (b) p  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*c + 14*c + c**2 - 23*c.\nAnswer: c**2 - 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1422 + -1129. Is 2\/3 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(567))*2)**2 + 6*(sqrt(567) + 1)**2 - (5*5*(sqrt(567) - -2*sqrt(567)))**2*-6.\nAnswer: 180*sqrt(7) + 19141930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of -j**6\/480 + j**4\/32 - 5*j**3\/6 - 3*j. Let s(k) be the second derivative of n(k). Factor s(d).\nAnswer: -3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -s. Let h(l) = -7*l - l + 1 - 8*l**2 + s. Let m(x) = -15*x**2 - 15*x + 2. Calculate 11*h(w) - 6*m(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/(-6)*(-36)\/(-10) + (-863 - -864).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 707887?\nAnswer: 707887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 0*u + u)*(0*u + u + 0*u) + (-6*u + 9*u + u)*(3*u + 0*u + 0*u).\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11\/275*28\/((-84)\/6)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -554830001 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of 0*v**5 + 24\/7*v**7 + 0*v**2 - 8*v**3 + 0*v**6 + 0*v**4 + 0*v + 1. What is the third derivative of u(l) wrt l?\nAnswer: 2880*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4*u**3 + 132*u**2 - 1086*u - 35. Determine s(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 13*g. Let h = 63 - 25. Let t(p) = -40*p**2 - h*p**2 + 79*p**2. What is f(t(a))?\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1980793 or 1980787?\nAnswer: 1980787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 7, 12, 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -29 and -3.2.\nAnswer: 92.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 51 + (-10 - (-21 + 32)) + -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**2 - 28666*f + 28668.\nAnswer: -2*(f - 1)*(f + 14334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-2))\/(((-16)\/40)\/((-12)\/5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7078, 7077, 7076, 7075, 7074, 7073?\nAnswer: 7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5353*x**3 + 11218*x**3 - 5872*x**3 + 128*x**2.\nAnswer: -7*x**3 + 128*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0*z + 6 = 0. Suppose -z*n + n = -10. Suppose n*u - 9 = 26. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 3*z + 5*m = 25, -3*m = -2*z + 1. Suppose -z*i + 0*i = 0. Solve 2*r + r = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27*t**3 + 7*t**3 - 15*t**3)*((-1 + 1 + 2)*(3 - 3 - 5) - 1 + 5 - 2).\nAnswer: 280*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 86\/61 + -5767\/3355. What is the common denominator of f and 7\/264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k - 10. Let d be i(-14). Let z(b) = -b**3 + 5*b**2 - 3*b + 4. Calculate z(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - -0.3. Let h = -740\/9 + 5929\/72. What is the closest to -0.1 in l, h, 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrwrrrrrrrrrlwcc. Give prob of sequence cr.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -125*r - 1475. What is h(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -8*n + 3*g + 12, -2*g = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 777414 to the power of 1\/2, to the nearest integer?\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - 1. Let n = -92.44 + 96.44. Let p = -0.1 - -0.06. Which is the third smallest value?  (a) n  (b) t  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:45 PM and 8:57 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - 6 = -4*n, -4*n + 26 = 9*d - 11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146, -217, -336, -503, -718?\nAnswer: -981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 23886 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 2:36 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1447705 and 60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.500011 - -0.5. Round m to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the first derivative of l**8\/1680 + l**5\/30 - l**3\/3 - 1. Let v(p) be the third derivative of h(p). Find the second derivative of v(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.539 + 32.981. Let p = -101 - -68. Let r = g + p. Round r to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 821728883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -100.575 - -101. Let t = 0.025 - r. Let o be (-6)\/21 + (-92)\/(-28). Which is the smallest value?  (a) t  (b) 0.1  (c) o  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-3 + (-330)\/(-130))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d + 5*f - 167, 0 = -5*d + 3*f + 136 + 82. Calculate the common denominator of d and (-639)\/(-56) + (-6)\/21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzvzzzzzv. Give prob of picking 2 v and 1 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.799 - 0.041. Let g = -0.877 - b. Let q = -0.03699687 - g. What is q rounded to 7 dps?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 5, 1.4, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-40)*5\/(20\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m + 3. Let f be ((-200)\/(-6))\/((-6)\/18). Let a be f\/45 + (-4)\/(-18). Let n be (-24)\/6*(-1)\/a. Let r(w) = 2. What is n*r(c) + 2*o(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -33494, -33523, -33586, -33701, -33886, -34159?\n\"Answer: -3*z**3 + z**2 - 11*z - 33481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8131698 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 171599*r**2 + 63583*r wrt r.\nAnswer: 343198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j + 25*j = 18*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 2 + 4\/(-2). Suppose -4*b - 8 = -q*b, -4*k - 5*b = 2. Solve -k*t - t - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.06  (b) 1\/6  (c) -0.5  (d) -0.09  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 153*z - 156*z + 81. Is (-12)\/2 - (-2216 - z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tqm when three letters picked without replacement from {s: 2, q: 2, t: 2, u: 1, m: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 - 18*s**3 - 17*s**2 + 4 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3630936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n + 4*l - 29910, -10*l - 15 = -13*l. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495)*2*-2)\/(sqrt(99)*-1))\/(-4*sqrt(900)*2*5).\nAnswer: -sqrt(5)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(5 + (-8097)\/1620). Suppose -v = -5*z + 4*z. Suppose 9*p - p = z. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 AM and 3:45 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 382440 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 5 + 0)*(-8 - 2 - 2)*(-14*k + 2 - 7*k - k)*(0 + 5 - 3).\nAnswer: -1584*k + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-222310)\/44154 + 5\/(-4)*-4 and -32\/51?\nAnswer: 34119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 3, u: 2}. What is prob of picking 2 m and 2 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.59 + 4.41. Which is the fourth biggest value?  (a) -0.1  (b) x  (c) -4\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -170774803670 and -0.07.\nAnswer: -170774803670.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -119186984, -476747942, -1072682872, -1906991774?\nAnswer: -2979674648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate c**2*y**3 - 18*c**2 + 707*c + 16196*y**3 - 3 wrt y.\nAnswer: 3*c**2*y**2 + 48588*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fxd when three letters picked without replacement from gbfbdgxf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18768)\/(-23460)*((-1)\/(-6) + -1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4568 - -4568.4. Is t > 0.262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -79*f - 82*f + 3146 + 2182 = -13*f for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*k = -12. Let v(h) = h**3 + 8*h**2 + 6*h - 7. Let m be v(-7). Suppose -6*c + 2*c + 528 = m. Calculate the highest common divisor of c and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes after 3:07 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6 = -5*x. Let r = -2243 - -2243.5. Which is the nearest to 2\/3?  (a) x  (b) r  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0.3  (c) -1  (d) 4  (e) 38\/3  (f) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -6 + 2*m - 3\/2*m**2. Determine s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cf when two letters picked without replacement from qyycfyyoyc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -15*s + 4*s - 13*s - 3*s + (s - 3*s - s)*(2 - 3 + 0).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37889?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 4*k - 14, 0 = -4*d - 2*k + 3*k - 19. Let p = d + 26. Let n be (-2 + (-465)\/9)\/((-7)\/p). Calculate the highest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 - 2*v**2 - 6*v**4 + 7*v + 3*v**4 - 7*v + (-4 - 3 + 6)*(3*v**4 - 3*v**4 - 2*v**4) + 0*v**4 - 2*v**4 + 4*v**4 - 2*v**4 + 0*v**3 + 0*v**3.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum 362109 and 0.5.\nAnswer: 362109.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 92. Is w(-12) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = -59162*p + 59160*p - 3, 15*p - 4*f = -4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 36605920 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -30. Let u be -1*(-1)\/(k\/(-18)). Is -1 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 217, 470, 769, 1120, 1529, 2002, 2545, 3164?\nAnswer: 3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 1 + (6 + -4 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -2. Let w(c) be the second derivative of -c**4\/12 + 4*c**3\/3 + 5*c**2\/2 - 4*c. What is the lowest common multiple of w(7) and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 124*i**5 - 122*i**5 + i**2 + 1 + 1 + (6*i**3 + i**2 - i**2)*(-2*i**2 + 2*i**2 - 4*i**2).\nAnswer: -22*i**5 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - -5*-1*sqrt(119)) + sqrt(119))\/(sqrt(7) + -3*sqrt(343))*6.\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*k = -90*k + 64 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*o + 19*o. Let t = 0.021 - 17.021. Let i = t + 20. What is the nearest to i in o, -1\/7, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 38 + -36. Let f(c) = -5*c + 7*c**o + 5*c + 0*c. Let z(r) be the third derivative of -r**5\/20 - 8*r**2. Give f(z(l)).\nAnswer: 63*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3342)\/(-36) + (-4)\/(-24) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11 - 1 - (-9285 - -46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -3.3. Let g = 2.7 + h. Let j = -0.643 + 3.643. Which is the nearest to j?  (a) 4  (b) g  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -78 - -94. Suppose 2*u + 11 = f, f - 5 = u + 2. Suppose 13 + 2 = 3*b, 4*m + f*b - 47 = 0. What is the greatest common divisor of m and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in 4, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 415 + -412. Sort -0.1, -2, -5, r in ascending order.\nAnswer: -5, -2, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l. Let f(h) = 68*h**2 - 31*h**2 - 28*h**2. Calculate f(k(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*w - 8, -2*w - w = -3*f - 9. Let y(q) = -52*q - 83. What is the remainder when 292 is divided by y(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 144947?\nAnswer: 11, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -198*l**4 + 8*l**2 - l**3 + 199*l**4 - 3*l**2 wrt l.\nAnswer: 24*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(35)\/sqrt(7) + sqrt(5) + -3 - 1*(sqrt(5) + sqrt(245) + 3))**2.\nAnswer: 72*sqrt(5) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 426197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10604 + -10567. Solve 6 = -z*j - 142 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 9:51 PM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 16595*z - 23382352. Give u(1409).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yrryrfqfqfqjqyqqj. Give prob of picking 1 f, 1 j, and 1 y.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 i when two letters picked without replacement from didvvvdv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(441\/27 + -17). Put -0.5, 0.3, -3\/8, f, -5 in descending order.\nAnswer: f, 0.3, -3\/8, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -12*m**2 + 186832*m + 124560 = 0?\nAnswer: -2\/3, 15570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 27. Which is the second smallest value?  (a) 5  (b) o  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 5*z = -g - 12, -2*g + 3*z - 6 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19360 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101111001000111011 - 100010000001?\nAnswer: 1101110100110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4212, 8422, 12632, 16842, 21052?\n\"Answer: 4210*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from aaaaaaaaaccaaca.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 448547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2595\/(-2422)*(-7)\/(-6)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10977, 21964, 32941, 43902, 54841, 65752?\n\"Answer: -f**3 + f**2 + 10991*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-2))\/(-6*5\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001011001001000 - -11100101?\nAnswer: -10001010101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*45\/(6480\/64)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3425 is divided by 86?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((1276\/(858\/(-39)))\/(-6))\/(2\/18)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*y = 14*y. Let h be (y - -20)\/4 - 7. What is the units digit of (h - -2) + (-308)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 80.507 to 1 dp.\nAnswer: 80.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1018 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 22 = -c, -3728*c + 18*z - 84 = -3723*c for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 180 + 30 = 0. Suppose 0 = 4*t - a + 30. Put -5, t, 3 in decreasing order.\nAnswer: t, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-5))\/(175\/875)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c + a - 134, -a - 144 = -4*c + 3*a. Let k be ((-24)\/(-5))\/6*215. Let f = 308 - k. Calculate the greatest common divisor of f and c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/4, 2158, -3, 72\/7, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 475, 2, -3, -2, -17244?\nAnswer: 475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 14*d**2 - 24*d + 5. Let i be h(12). What is the second biggest value in 0.3, 25, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7063101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3 and -0.05153463.\nAnswer: 0.15460389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -16 - -22123155?\nAnswer: 22123136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 18 = 4*g. Let x(q) = -2*q - 15. Let j(c) = c + 7. Give g*x(s) + 13*j(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/25 of a minute?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {n: 2, z: 8, c: 9, s: 1}?\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -16, -18, -22, -28, -36?\n\"Answer: -t**2 + t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 122, 4, 1 in ascending order.\nAnswer: -1, 1, 4, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9104952 is divided by 320?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3801601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/18 - (-37820)\/(-84690). Let s = j + -1872\/4705. Which is the closest to 14?  (a) 5  (b) s  (c) 2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 715*i**3 - 2*i**2 - 18. Let x be g(3). Let n = x + 286. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2005 - -1858. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4496280792 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -10 + 2*s**3 - 41*s - 4*s**3 + 25*s**2 - 18*s**2 + 4*s**3 + 47*s. Let h(q) = -2*q**3 - 6*q**2 - 5*q + 9. Give 5*g(z) + 6*h(z).\nAnswer: -2*z**3 - z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v**(-9\/2)*v)\/(v\/(v\/v**13)) assuming v is positive.\nAnswer: v**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1029) - (sqrt(1029) - (sqrt(1029) + sqrt(1029)*-2) - sqrt(1029)))\/(sqrt(24)\/(sqrt(128) + sqrt(8))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(76)\/sqrt(4) - sqrt(19))**2 + (4*sqrt(152))\/sqrt(8) + -1*((sqrt(76)\/sqrt(64))**2 - (3 + sqrt(38)\/sqrt(2))).\nAnswer: 29\/16 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 29222, 29261, 29300, 29339, 29378?\n\"Answer: 39*p + 29183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201823 is divided by 66976.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -412 to the nearest 10.\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -513 and -0.2?\nAnswer: 102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 - 24*i + 90. Let x = -168 - -180. What is the tens digit of p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 4*n**2 - 10*n + 2. Let m be x(-8). Suppose -s + f + 65 = -4, m = 5*s + 2*f. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 17\/2 + 3\/(-2 + 8). Let r(t) = t**2 - 10*t - 3. What is r(i)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + (sqrt(4032) - (sqrt(4032) + 1 + sqrt(4032))) + sqrt(4032))*4)**2.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 815958254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -423 + 421. Which is the third biggest value?  (a) -4  (b) -3\/5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-91)\/3 - (6\/(-69) - 14880\/(-1840) - 19)\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5764 + -5764. Solve 2*f + 2 = j, -6 = -11*r + 10*r + f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(204)\/(sqrt(36)\/sqrt(3)) + -2 + sqrt(51)\/sqrt(3) - sqrt(204)\/(sqrt(12) - sqrt(36)\/sqrt(3)*2)).\nAnswer: -8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 5*d**3\/2 + 545*d**2 + 29150*d - 60500 = 0?\nAnswer: -110, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/6*9\/12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 10:32 PM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124123, 127341, 132695, 140179, 149787, 161513, 175351, 191295?\nAnswer: 209339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76244?\nAnswer: 2, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/5 - (-1812)\/60. Let t be (-4)\/12 - (-58)\/s. Suppose 6\/5*b**2 + t*b + 2\/5 = 0. Calculate b.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1117\/4 + -280. What is the smallest value in -1, 0.1, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 410*j - 1818. What is f(4)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3345855 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {w: 2, o: 1, p: 1, a: 1, l: 1, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -54*i + 49*i. What is the nearest to i in 0, -9, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 PM and 5:28 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005265 rounded to 6 decimal places?\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 12c2 (base 13) in base 3?\nAnswer: 10200202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -114 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w = 5*w + 100. What is the remainder when 49 is divided by (5\/w)\/((-2)\/(-136))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 3*b - 9, 2*b - 6*b + 20 = 0. Calculate the highest common divisor of u and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -35.7\nAnswer: 10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q**2 + 43*q**3 + 21 - 42*q**3 + 0*q**2 - 24 as t + c*q**2 + a*q + s*q**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000653037765 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 6, p: 2}. Give prob of picking 1 p and 3 m.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3271 + -71987\/22. Calculate the common denominator of 2 - -70*4\/(-32) and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(1 + (sqrt(3) - (sqrt(3) + 3)) + 3 + (sqrt(900) + sqrt(900)*4)\/sqrt(3))**2.\nAnswer: -45006 - 600*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 185 - 65. Suppose 3*n - 117 - o = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 6*s. Let k(o) = -2*o**2 + 12*o. Let v(m) = -4*k(m) + 7*x(m). Let c be v(6). What is the closest to c in 1, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61272 - s**2 + 122427 - 61677.\nAnswer: -s**2 - 522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.152, -0.5, 4?\nAnswer: -0.152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-2) - (-3)\/(-2). Let c be ((-2)\/r)\/(8\/12). Suppose 4*s = h + 113, 5*s + h + c*h - 115 = 0. Calculate the highest common divisor of s and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 25581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 2\/10*(-1984)\/4960\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 12777?\nAnswer: 12777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -0.611, 14 in increasing order.\nAnswer: -0.611, 3\/4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 PM and 9:42 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, s: 2, k: 1, h: 2, t: 1}. What is prob of sequence sks?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 18120403 equal to 18120405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 168 - 168 + 101*k.\nAnswer: 101*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7912 (base 16) to base 7.\nAnswer: 156235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2196 - 2193. Let v(q) be the first derivative of -3\/5*q**5 - f*q - 10 + 0*q**4 + 2*q**3 + 0*q**2. Solve v(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that -2*l**5 - 273060*l**4 + 1638408*l**3 - 3276844*l**2 + 2730714*l - 819216 = 0.\nAnswer: -136536, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2127*h + 2114*h + 26 + 2028. Solve -122 = -6*j - h for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from qtkyorqrykyk.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6453, -6433, -6441, -6477, -6541?\nAnswer: -6633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**2 - 190*t + 1091. Is f(-83) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m = s + 1, 317*s - m + 1 = 316*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (((-15)\/10)\/1)\/(1\/(-2)). Let t(a) = 4*a - 2 + 10*a**p - 6*a**3 + 3*a**2 - a**3 + a. Let i(g) = -4*g**3 - 3*g**2 - 6*g + 2. Give 5*i(q) + 6*t(q).\nAnswer: -2*q**3 + 3*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1027 divided by -563?\nAnswer: 1027\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 8, y: 5}. Give prob of sequence yy.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -286\/21 - -1993\/42. Let z = -69\/2 + l. What is the nearest to -0.1 in z, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 29.057 + -0.057. Let n = l - 29.00000096. Round n to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (896\/24)\/7 + -5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 + 4*b + 1. Let o(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 1. Let k(h) = 4*o(h) + 3*p(h). List the prime factors of k(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*f**3 + 2*f + 11*f**3 - 9*f**3 + 13*f**3 - 2*f**2 to the form o + g*f**3 + y*f**2 + p*f and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2377362428124 + 1.\nAnswer: -2377362428123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28.1 + 27. Let u = v - -1.4. Which is the closest to 2\/3?  (a) -2  (b) u  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4460)\/(-8))\/((-3)\/(-6)). Let w = v - 685. Suppose -3*r + 0*p + 257 = 2*p, -5*r = 3*p - w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes before 10:03 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -119.5 + 119.499905456. What is r rounded to six decimal places?\nAnswer: -0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 92 = -9*s + 236 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 571995 = -b, 15*b = 17*b + 10. Round i to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/(-14)*(-28)\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 0 + -6*(sqrt(325)*1*4 + (sqrt(325) + -3*(sqrt(325)*2 - sqrt(325)) - sqrt(325))) + 3)**2 + 1.\nAnswer: 120*sqrt(13) + 11705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x. Let z(j) = j**2 + 10*j + 7. Let m(u) = 5*h(u) + z(u). Calculate m(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the first derivative of -w**4\/20 - 8*w**3\/3 - 74*w**2\/5 - 144*w\/5 + 83. Factor x(j).\nAnswer: -(j + 2)**2*(j + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 6\/35  (b) -2\/7  (c) -2  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sw when two letters picked without replacement from swwwswwswswwwwwwww?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103849372.\nAnswer: 2, 11, 787, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-2)*23\/23\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1 - 14*d + 9 + d**2 + 2*d**2. Let j be r(4). Suppose -w = 4*v - 920004, 3*v + w = -j*v + 1150004. What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iy when two letters picked without replacement from {f: 2, u: 1, i: 5, r: 3, h: 4, y: 3}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: 9+3503855712271\nAnswer: 3503855712280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-20 - 18) - (0 - (-9 + 4 - -16))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 26\/27 and 27\/234236.\nAnswer: 6324372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 2*n - 20. Suppose -3*d + 2 = -4*u + 2*d, 20 = 5*u + n*d. Find v, given that 0*v**3 + 2\/3*v**4 - 4\/3*v**u + 0*v + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -21 - -23. Let v be c*(-4)\/8 + (-28)\/(-2). Find the second derivative of v*b**5 - 13*b + 7*b + 0*b wrt b.\nAnswer: 260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10025 (base 10) to base 12\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5386882 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2200502131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -653, -1634, -3013, -4790, -6965?\nAnswer: -9538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -449858166.6 to the nearest 10000.\nAnswer: -449860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26\/(-4)*1788\/3874?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2923 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 474, 3647, 12274, 29085, 56810, 98179?\n\"Answer: 455*n**3 - 3*n**2 - 3*n + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -533716+-235625.49\nAnswer: -769341.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 1758 = 5*k, 8 = -5*p - 2. Let a = -184 + k. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25 + 11 + 14 + 2371605*a**3.\nAnswer: 2371605*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 9*z - 7164. Suppose 5*k + z = k. Let u = k + 486. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.7  (b) 5  (c) -0.5  (d) 0.013  (e) -1  (f) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/5, 0.5, -2\/15, -6, -1\/11, -173?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -17*(-44)\/7854*9?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0034 + -0.28.\nAnswer: -0.2834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 52*g**2 - 5*g - 2. Let k(p) = -p. Calculate -5*k(t) + w(t).\nAnswer: 52*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeededjdeeeeeee. Give prob of sequence ed.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*j**2 + 1 - 8*j**2 - 32*j**2 - 1.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, 14.339, 48\/11?\nAnswer: 14.339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 336 or 390?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -38*n**2 + 0*n + 2*n - 6 - n + 39*n**2. Let o be q(3). Solve -15 = -o*w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/7  (b) 68  (c) -6  (d) -8  (e) 5  (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (15 - 4) + -7 + 4 + (-6 - -46)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/10, -2, 17.8, 30 in decreasing order.\nAnswer: 30, 17.8, 3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, 1, -18 in descending order.\nAnswer: 3, 1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 150\/(-80)*(0 - (-1)\/1). Sort v, -2, -0.2 in increasing order.\nAnswer: -2, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/22*(-297)\/54\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 1\/3, -8\/19, 0.1?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/8)\/(6\/(-16)). Let n(b) = -b**3 + 5*b**2 + 5*b + 8. Determine n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 2 + -1*sqrt(2299).\nAnswer: -11*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 88 and 4885892?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626939?\nAnswer: 313, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/p**(5\/6))*p*p**(-10\/7)*p)\/(p**(23\/2)*p**(-2\/31)) assuming p is positive.\nAnswer: p**(-6530\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**2 - 4*k + 4. Let m be y(11). Let x = m - 32. Round x to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-161*r + 159*r + 267 - 231)*(-2*r + 0*r + 0*r)*(r**2 - 3*r**2 + 4*r**2) to the form f*r**4 + s*r**2 + p*r**3 + b + w*r and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l - 2*l - 6*l)*(-4*l + 6*l - 3*l + (2*l + 1 - 1)*(-7 + 3 + 2) + 2*l - 2 + 2).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12110225797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -226, -251, -274, -295, -314, -331, -346?\nAnswer: -359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9616, -9564, -9498, -9412, -9300, -9156, -8974, -8748?\nAnswer: -8472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from dinivziwiinvv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 37\/5 of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 83254764?\nAnswer: 2, 3, 41, 169217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 3*v. Let d(x) = -4 + 2*x**2 + 4 - x**3 + 4*x - 1. Let y be d(3). Solve -y*z = s + 3 - 4, v = 2*z + 2*s for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -t**3 - 19*t**2 + 26*t - 27. Let c be s(-21). Let w = c + -62. List the prime factors of w.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2907 + -2883. Solve 16*l - m = 10*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 4*y + 9. Let o(u) = 2*u**2 + 2*u - 5. Let w be o(y). Suppose -2*g + 11 - w = 0. Solve -4 = c, 2*n + c = g*c + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: -36 divided by 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -563433 or -563432?\nAnswer: -563432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-7)\/14*83*-12.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 14, i: 1}. What is prob of picking 1 i and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11023 - -2003302?\nAnswer: 2020331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 17079\/26 + -163258213\/248534. Let z = g + 726538\/258093. Calculate the common denominator of -143\/24 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/((-5)\/(-20)))\/(-2). Suppose -3*y = -3*c - 2*y + 10, 30 = 5*c - 5*y. Let x be (8 - 5)*c\/a. Solve 4*w = -5*i - x, -4*w + 1 = -i - 14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -68 divided by -93?\nAnswer: 68\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -211*u + 6. Let m(v) = -79335*v + 2255. Give -2255*f(t) + 6*m(t).\nAnswer: -205*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-49 - 33 + 45)*(-53*m**2 + 28*m**2 + 50*m**2).\nAnswer: -925*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 + 3)*(-20)\/6 + -3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 6. Let p be b(-3). Suppose 1 = -2*q - p. Calculate the least common multiple of 9 and (-3)\/q + (-3)\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68) + -5*3*sqrt(68) - sqrt(68)*-1*4)\/(-4*((sqrt(400) + (sqrt(400)*1 - sqrt(400) - sqrt(400)))*2 - sqrt(400))) + 2.\nAnswer: -sqrt(17)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 2 + (0 - (-462)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -592 divided by 10\nAnswer: -296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 153\/68 - (12\/(-9))\/(2\/(-3)). Put 3, f, -101 in ascending order.\nAnswer: -101, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 64\/(-6)*(0 - 3). Let y = o - 16. Calculate the common denominator of y\/(-66) - 1\/(-3) and 61\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h. Let y(f) be the first derivative of -14*f**2 - 1. Let q(d) = -4*b(d) + 2*y(d). Calculate the remainder when q(-1) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3669287 rounded to 4 decimal places?\nAnswer: 0.3669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10516?\nAnswer: 2, 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1011110010001 (base 2) to base 14\nAnswer: -22ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 47, -4\/9, 0.5, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-6)\/((1\/2)\/(-1)). Suppose 6*v = 10*v - i. Solve -15 = -v*t, -3*f = -2*t + 15 + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -44 + 50, 2*m - 396 = 2*a. What is the greatest common factor of m and 3936?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1023 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 438730490 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 546162979 a multiple of 2070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 31322 or 31326?\nAnswer: 31326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -4\/5*r**4 + 36\/5*r**3 - 96\/5 + 176\/5*r - 24*r**2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = v + 3*p, p = -3*p - 20. Let d be (v\/(-6))\/(10\/1935). Suppose c - 4*a - 79 = 0, -2*a - 3*a - d = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 - 23 = -3*n. Calculate the highest common factor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-7)*f*f*f**(-1))\/(((((f**(-2)*f)\/f)\/f*f)\/f)\/f*f*f*f**(-1\/13)))**18 assuming f is positive.\nAnswer: f**(-918\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 55441213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 73 + -68. What is the third derivative of 30*i**2 - 3*i**5 - 8*i**2 + n*i**5 + 18*i**5 wrt i?\nAnswer: 1200*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**2 + 7087*p - 864119. Calculate c(118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 5245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/50)\/(((-36)\/(-6))\/(100\/(-10)))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 + (-12 - (-456)\/36). Which is the closest to 0.04?  (a) 4  (b) j  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -32, -125, -274, -479, -740, -1057, -1430?\nAnswer: -1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 2*f**3 - 5*f - 5. Let y(x) = x**3 - 3*x - 3. Give 6*o(v) - 10*y(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -20*u + 114. What is m(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -113 + 579 = 5*c - 4*y, -262 = -3*c - 2*y. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 3*w + 3. Let k be i(3). Suppose -104 = -y - k*y. Calculate the remainder when y is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 264 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1103219*1.89\nAnswer: 2085083.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 495668702 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 + 5*g - 7. Let k be i(5). Let p(u) = -u**2 - 3*u - 3. Let h be p(-6). List the prime factors of ((-66)\/k)\/((-3)\/h).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13011231 (base 4) to base 12\nAnswer: 14979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -49 - 179\/537*(-34 + 1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -11836 divided by -46452\nAnswer: 2959\/11613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/4 - 9011135*f + 36044541\/4.\nAnswer: -(f - 1)*(f + 36044541)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101467 (base 9) to base 5.\nAnswer: 3411123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**4\/6 - 35*c**3\/3 + 124*c**2 + 5036*c. Factor f(l).\nAnswer: 2*(l - 31)*(l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -4\/5, 712\/7, -13.\nAnswer: -13, -3, -4\/5, 712\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) -1.72117  (c) 4  (d) 3  (e) 13  (f) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p + 3. Let v(y) be the third derivative of -y**4\/8 - 5*y**3\/6 + 13*y**2. Determine 3*v(d) + 5*w(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -5*f - 5. Let l(v) = 5*v + 6. Let r(i) = 5*l(i) + 6*t(i). Let w(s) = -125 + 125 - s**2. Calculate w(r(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 756, 804, 852, 900?\n\"Answer: 48*d + 708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 40\/4*3351\/1390665\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the third derivative of -o**5\/6 - 7*o**4\/24 - 8*o**2. Find the second derivative of l(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 - 10*q - 16. Let r be w(-7). Solve -r*c = 27 - 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 119920114723 - 119915157113.0119. Let w = 4957342 - t. Let s = w - -268. Round s to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = 16, -547*z - 333294 = -6*f - 544*z. List the prime factors of f.\nAnswer: 73, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*j + 4*y + 54, -j + 14 = 3*y. Suppose -2*k = -3*k + j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + o. Let c(y) = 54*y**3 + 45*y. Calculate c(k) - 45*u(k).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -18 - 18. Suppose -f*k + 13*k = 8. Let z(m) = 5*m + 11. Let d(u) = -u - 2. Give k*z(o) + 11*d(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*u + 59271 - 10761 = 0. What is the highest common factor of u and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -636\/7 - -5263\/56. Find the common denominator of o and -9\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**3 - 2*l**3 - l**3 + (0*l**2 - l**2 + 2*l**2)*(-l + l + l) - 74*l**3 - 129*l**3 + 29*l**3 to p*l**2 + t + v*l**3 + z*l and give v.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185482*t**2 + 185482*t**2 + 19*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j + 9. Suppose -4*r = -2*i - 2, 0*i = 4*r - 5*i + 13. Suppose -3*m + 4*m - 33 = 4*b, r*b + 2*m = -22. What is the units digit of x(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 27 = 75. Suppose p = 3*l - 21. Is l a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -12  (b) -9  (c) -0.037  (d) 5  (e) -6\/17  (f) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 839354*l**2 + 1971*l. Let w(q) = 2559*q**2 + 6*q. Determine 2*g(s) - 657*w(s).\nAnswer: -2555*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -21, -37, -69, -117, -181?\n\"Answer: -8*m**2 + 8*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.8 - 8. Let f = -0.4 + u. Let t = 0.08329 + -1.08329. Which is the closest to t?  (a) -3  (b) 2\/9  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205053.\nAnswer: 3, 68351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of -j**3\/6 - 6*j**2 + 6*j. Let c be i(-14). Solve c*f + 5 = -z + 13, 0 = 4*z - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 713 is divided by 232?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 75936 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 11100233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 73274 - 0?\nAnswer: 73274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 8 + -1 + (-9)\/7\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -22*o - 695. Let m be y(14). Sort -1, 2, m in descending order.\nAnswer: 2, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + i**3 + 1)*(i - 2*i + 0*i) + (3 - 2*i - 3)*(-2*i**3 + 0*i + 0*i) - 2*i**4 + i**4 + 2*i**4 + 13*i**4 - 228*i**4 + 38*i**4.\nAnswer: -173*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -192\/989?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13249 + 13397. What is the remainder when 626 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51544 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1092 and 12948?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75836740?\nAnswer: 2, 5, 7, 29, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of z**5\/12 - 3*z**2. Let a(t) = t. Calculate a(r(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 5. Let h be (-10)\/(-14) + k + -1. Which is the closest to 0.2?  (a) -5  (b) h  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 257 - 523 + 262 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u*u**7)*u**(-20)*u*u\/(u\/(u*u*u*u**6*u))*u**(5\/7) assuming u is positive.\nAnswer: u**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5139.144 centuries in months?\nAnswer: 6166972.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 1. Let d(r) = 3*r**2 - 2*r**x + 5*r + 5*r - 9*r + 37. What are the prime factors of d(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -69904000*i. Let a(q) = 5*q**2. Calculate n(a(v)).\nAnswer: -349520000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 4*h + 2*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -8*d + 100. Let h = -5 + 9. What is the units digit of (5\/h)\/(5\/d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/2 + 1\/2. Let q = -270 + 299. What is the remainder when q is divided by (0 - -15)*1\/v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8856)\/(-36531))\/(2\/33).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21*10.6.\nAnswer: 222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t + 7*t + 9*t.\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -56\/634247 or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxkxkxxkxxxxxkxxx. Give prob of sequence kx.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 1 + (-72799976)\/(-4) + 3. Round n to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1287 - -1358. What is the remainder when 432 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -188 + 188. What is the closest to g in -2, 4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 30. Let n = 42.2 - 48. Let m = 3.8 + n. Put m, 3, s in decreasing order.\nAnswer: 3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35618.59ng to milligrams.\nAnswer: 0.03561859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.02 and 1.9347?\nAnswer: -0.038694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -779 divided by -163.\nAnswer: 779\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -135.5594 rounded to the nearest integer?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 33417.0217 rounded to the nearest one hundred?\nAnswer: 33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 224 = 4*w, -4*z + 6*z + 2*w + 112 = 0. Let m be (-22)\/(-7) + 8\/z - 4. Is -2\/733 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 4*o**2 + 232*o - 1334. What is n(-63)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/4 - 15\/4. Let c = 4 + m. Suppose u + c*u = 3. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 241 - 241 + 41*d**2 in the form s*d + w + g*d**2 and give g.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 169 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 11. Suppose a + 3 = v. Let z(y) = y - 34. Calculate the lowest common multiple of a and z(39).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**4 + 2*l**4 - 4*l**4)*(-2 + 2*l + 4*l - 3*l)*(-5 - 2 + 5).\nAnswer: 24*l**5 - 16*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*w - 60 = 13*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.6, 1709, -2\/3, 0, -1\/4, -0.121?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/32*1\/1. Suppose d = -4*a - 16, 4*a + 496 = 2*b + 6*a. Is b a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**5 + 0*y**5 - 4*y**5 - 10*y**5 + 2*y**5 - 9*y**5 - 7*y**5 + 15*y - 15*y + (-4*y**3 + y**3 + y**3)*(-y**2 - y + y) + y - y**5 - y.\nAnswer: -25*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -46601.99975993 + 46602. What is f rounded to five decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34 + -23. Let j(u) = 9*u + q*u - 18*u. Let l(a) be the second derivative of 5*a**4\/4 - 2*a. What is l(j(z))?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 126*q**2 + 802*q - 17418. Determine t(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*x**2 + 3*x**2 - 5*x**2)*(2*x - x + x) + 2*x - 2*x + x**3 + x**3 + 68 - 41 + 71 + 51 in the form h*x**2 + z + q*x**3 + p*x and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30987294 and 1326?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5310)\/(-5334) + -1)\/((-4)\/14). Which is the nearest to 1\/4?  (a) 1  (b) -4  (c) h  (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21\/35 + 148\/(-80)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 1836, -200, -5, -127 in decreasing order.\nAnswer: 1836, 5, 4, -5, -127, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of c**5\/60 + c**4\/6 + c**3 + 3*c**2. Is 3 a factor of n(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2 + 8*v + 2. Let p be s(-6). Suppose -2*i = 3*o + 7, 2*i - 5*o - 15 = 7*i. Is (-1 - -4) + p + i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -328 - -483. Suppose 3*q = -2*p + x, -6*p + 3*p = 4*q - 207. Suppose q = b - 8. Calculate the remainder when 115 is divided by b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.49 - -5.49. Let u = 8.25 - 5.25. Which is the fourth smallest value?  (a) 1\/3  (b) u  (c) y  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/5  (b) -1  (c) -1\/4  (d) 12  (e) -8\/5  (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1827 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0.4, 41, 1\/5, 4, 34?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -5*r. What is the nearest to r in 0.3, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -369, -1289, -2827, -4989, -7781, -11209?\nAnswer: -15279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -239149*i**5 + 14*i + 1040 wrt i.\nAnswer: -4782980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j = 134 + 1. Calculate the remainder when 51 is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2552022450 - 5?\nAnswer: -2552022455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2. Let n(w) be the second derivative of -5*w**4\/4 + 4*w. Determine n(k(j)).\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5643 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 495*n + 2752 = -2374 + 1166 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 3940.\nAnswer: 1\/3940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -108677278, -217354545, -326031812, -434709079?\n\"Answer: -108677267*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110651480?\nAnswer: 2, 5, 2766287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19508 divided by -4877.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -125.0000029 - -125. Round f to 7 dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2278*b**3 + 10*b + 10. What are the prime factors of o(-1)?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(4\/1))\/((-12)\/(-12))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 684, 5, -4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -w + 4*w - 542, 168 = w + 8*l. Calculate the remainder when w is divided by 181.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2371 - 1472. What is the second derivative of 899 + 93*g**2 - 112*g - o wrt g?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4096, -5 in decreasing order.\nAnswer: 4, -5, -4096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 136898361569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 7*x - 2*x + 46, -5*x = -3*h + 42. Calculate the common denominator of 47\/5 and 190\/x + (-5)\/(-30).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 3, -5252, -2, -134 in ascending order.\nAnswer: -5252, -134, -2, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57783 and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the first derivative of t**4\/4 - 4*t**3\/3 + 2*t + 11. Let n be f(4). What is the second derivative of 3*m**n + m - 3*m - 2*m**3 - 3*m**2 wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -2803?\nAnswer: 2798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2408*r = -2457*r. Solve 5*z + 2*h - 2 = r, h + 31 - 17 = 5*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 1 = 5*w + 5, -5*j + 5*w + 20 = 0. Let b = j + -5. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 5)*(1 + 1 - 3) - 40 + 8 + 2 + (-3 + 2 + 0)*(1 - 1 - 2))*(2 - 2*s - 2).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 16620, 16122, 15624, 15126, 14628, 14130?\n\"Answer: -498*l + 17118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -144*(-1 - 0) - 0. Let q = -2\/18183 + -183849\/12122. Find the common denominator of q and 12\/18 - 141\/z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1350 by -150.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*m**2 - 253 + 159 + 33*m**2 + 94.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p = p. Suppose -r - 4*r + 35 = b, p = -5*r + 3*b + 15. Find the second derivative of -f**2 + r*f**2 - 9*f - f - 2*f wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -102, -202, -304, -408, -514, -622, -732?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -32 + 51. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = 5*w - 20. Let j be (1 - (-2 + 3)) + 2\/w. Let s be 1 + 1 - 3\/2. Which is bigger: s or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 1849*p**3 + 448*p**2 - 6*p - 2. Let h(k) = 1849*k**3 + 448*k**2 - 8*k - 3. Let o(j) = -4*f(j) + 3*h(j). Find the third derivative of o(i) wrt i.\nAnswer: -11094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.19748555972 and -0.2.\nAnswer: -0.39748555972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 5015*r**3 - 5022*r**3 + 3 + r + r + 2*r**4 - 2*r + 3*r**2 in the form q*r + d*r**4 + c*r**3 + h + y*r**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (17 + 6161*x - 17669*x - 8 - 9)*(-1 + 0 + 3 + 0 - 2 + 3 + (-1 - 4 + 4)*(3 - 3 - 2)) to the form d*x + g and give d.\nAnswer: -57540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 236 + 21277*w - 10641*w - 10638*w to the form h*w + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**2 - 2*s. Let w(t) = -101*t + 61*t + 7 + t. Let q(y) = -28*y + 5. Let g(b) = -7*q(b) + 5*w(b). What is g(j(d))?\nAnswer: -4*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 841 and 101761?\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1266 bigger than 1078?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 122*q**2 - 653*q - 1150. Give g(-127).\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37141?\nAnswer: 13, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 3)*(25 - 44 - 167*d + 20) + d + 5*d - 4*d + (5 - 5 + 2)*(-2*d - 3 + 3) as s*d + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(10\/4) - (-3 - -5). Let k(d) = d**2 - 2*d + 2. Let f be k(3). Suppose -4*w = f*x - 119, -4*x + 7*x - 2*w - 89 = s. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15833914 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(396) + -2)**2 + (sqrt(11) - (sqrt(11) + 1)*-4))*-1.\nAnswer: -1616 + 76*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -28242, -113531, -255702, -454755?\n\"Answer: -28441*r**2 + 34*r + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4583.3 to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*s*x**3 - 6160*s*x + 1875*s + 885*x**3 + 43168 wrt x?\nAnswer: 6*s*x**2 - 6160*s + 2655*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-20)\/6)\/((-6)\/9). Suppose 0 = 3*h - n*h + 4. What is the second derivative of g - 5*g - 2*g**2 + h*g wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c**5 - 7904*c**4 - 119268*c**3 - 382528*c**2 + 509696*c = 0.\nAnswer: -8, 0, 1, 1991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 156 - 79. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = 4*y - 6*u - 1220, -3*y + 2*u + 916 = 0. Suppose -5*t + 3*v = -378, -7*t - v = -11*t + y. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kzkzzzkzzzzzkzzkzzz.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357*v - i + 17 = 354*v, 4*v = -3*i - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1*(-4 - -11)*16.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.496848 + 20422.\nAnswer: 20421.503152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.1, -9, -105, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -586324, -586322, -586320, -586318, -586316?\nAnswer: -586314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 14 = -i - 98, 5*u - 4*i - 564 = 0. Is 117 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 5*p = -24. Suppose 0 = -6*d + p*d - 6. Are -9\/7 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 7*z**3 - 2*z**2 + 3*z + 4. Suppose 0 = 2*s - 3*o + 8, 0 = 5*s - 5*o + 15. Give f(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24387 - 23950. Calculate the greatest common factor of 46 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 1\/2)*-12. Solve 5*o - 15 = 2*l + g, 4*l = -o - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*l - 192 = 104*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 380569, 761139, 1141709?\n\"Answer: 380570*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4163 - -4174. Which is smaller: -147 or w?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 31657, 63266, 94877, 126490, 158105?\n\"Answer: a**2 + 31606*a + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37663 is divided by 281.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 3*m. Let o(u) = 9*u**2. What is o(t(i))?\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -69, 3, 1 in increasing order.\nAnswer: -69, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -g**4\/6 - 25643*g**3\/6 + 25645*g**2\/2 - 76937*g\/6 + 12823\/3 = 0. Calculate g.\nAnswer: -25646, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - i - 3 = 0. Suppose 5*d + 8 = 5*q + i*d, 11 = 4*q + 3*d. Let z(l) = l**3 - 2*l**2 + 2*l - 2. Let c be z(q). Solve -v = -c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 4:26 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s - 80 = 5*x, 23*x - 58 = 19*x - 5*s. Let 6\/7 + 0*p**x + p - 1\/7*p**3 = 0. Calculate p.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + j**2 + j + 12. Let r be g(0). Let l be r\/54 - (-112)\/(-18). Let y be 2*(l\/(-4) - 1). What is the nearest to y in -1, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**2 - 1. Let g(k) = 21*k**2 + 8*k + 6. Let s(j) = -3*j**2 + 4*j + 1. Let i(f) = -g(f) + 2*s(f). Give -i(p) + 4*r(p).\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -10. Find the second derivative of -5*x**w + 4*x + 3*x**4 + 0*x wrt x.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (20\/6)\/(12\/(-3600)). Let g = s - -1449. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1301665\/188196 - -2\/15683. Calculate the common denominator of -57\/7 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n**3 + 880*n**2 - 885*n = 0.\nAnswer: -177, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1512096 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1817 = 14*i + 1655. Let x = i + 628. What are the prime factors of x?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -7. Let w = -7 - -62\/9. Let r = -3 - -3. What is the nearest to r in i, w, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m. Let c = 5449 - 5484. Let v(j) = -25*j. Determine c*w(o) + 3*v(o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + d + 690. Which is greater: -691 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f**3 - 13*f**2 - 14*f. What is p(14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 2. Let i(l) = 4 + 12*l - 2 + 3 - 13*l. Let a(d) = -1. Let x(k) = m*i(k) - 5*a(k). Let c(n) = -3*n**2. Calculate x(c(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1134 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 11, e: 3}. What is prob of sequence wwww?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 10}. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 5*o + 3 = 0. Let g(y) = y**2 + 3*y - 10. Let w be g(-5). Solve -o = -k - w*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:08 AM and 6:11 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1373236694 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 249259 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11242 and 3311.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -204 - -206. Suppose 264 = 12*a - 12. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8500 - 8501. What is the closest to 2 in -3.02, -5, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 4 + 7*t + 6*t - 3*t - t. Let g(p) = p**3 + p + 1. Let y(r) = -4*g(r) + k(r). Find the second derivative of y(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the third derivative of 72*l**2 + 6\/5*l**3 + 1\/100*l**5 + 0*l + 0 - 13\/40*l**4. Solve b(i) = 0 for i.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -19592, -19632, -19704, -19808, -19944, -20112, -20312?\n\"Answer: -16*i**2 + 8*i - 19584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: -131 + (43 - 44)*14\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*a - 13*a**3 + a + 4*a - 25*a - 3*a.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 555.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23 + 30. Let i(v) = -h*v - 1 - v**2 - 4*v + 11*v. Let m(c) = -2*c**3 + c**2 + 4. What is -3*i(j) - m(j)?\nAnswer: 2*j**3 + 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 + 22*p - 3 + (1 + 0 + 0)*(-p + p - p).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 7 = -4*s, -5*p + 180*s + 34 = 183*s. Which is the closest to p?  (a) 2\/3  (b) 1\/5  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/(-738)*5*83\/(-249))\/(15\/18)?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-4)*z\/(z*(z**(-25)\/z)\/z))\/((z\/z**20*z)\/z*z)**(-25) assuming z is positive.\nAnswer: z**(-427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3\/4  (b) 5  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -7400, -7402, -7404, -7406, -7408, -7410?\n\"Answer: -2*y - 7398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 + 30 - 99) + 9 + -7 + 7?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6757694?\nAnswer: 2, 83, 40709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/7, -686, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1828063421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 76678 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + u = 5*r - 40, -3*u - 12 = 0. Solve r*k - 2*k - 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18*y**2 + 1052*y - 180693.\nAnswer: -36*y + 1052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 280 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6459 = 414*m + 249 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uw when two letters picked without replacement from {w: 14, u: 5}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1804372 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 4, s: 6, t: 3}. What is prob of picking 2 s and 1 b?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 10*o + 40. Let h = 24 - 24. Let w be 0 + 18\/(-4) + h. Which is greater: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/1904 and -81\/908888.\nAnswer: 12724432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/45)\/(16\/(-96)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -443602, -1774448, -3992534, -7097860, -11090426, -15970232, -21737278?\nAnswer: -28391564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-2))\/(r**28*r)*(r*r**35)**(-2\/67) assuming r is positive.\nAnswer: r**(-1814\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*i + 18 + 13 - 29 to h + s*i and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-6) - (-1)\/(-3). Let c = 109036793313\/305 - 357496801. Let s = -882 + c. Do s and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 * -0.457\nAnswer: 5.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1324 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 10, 5*o - 351 - 5204 = -5*n. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20583, 40984, 60991, 80406, 99031, 116668, 133119?\nAnswer: 148186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4254 + -4275. Which is the fourth smallest value?  (a) h  (b) 12  (c) 1\/2  (d) 2  (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/20 - (-387)\/5. Let m be (-2)\/(-11) - 938\/y. Let r = 15 + m. Solve -2*u - r*u + 5*i = 10, 4*u = -i - 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -29 + 144\/5. Let a(y) = -y**2 - 8*y - 3. Let d be a(-7). Let r = 0 + d. Sort g, 5, r in descending order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2259819809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 10 = -3*v. Let l(n) = -n**3 - 4*n**2 - 7*n - 4. Let j be l(v). What is j rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13424 - 13424.46. What is the second smallest value in t, -2\/17, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 639 * -2.424.\nAnswer: -1548.936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 36.3. Let p = d - 3. Let g = p - -7. Which is the third smallest value?  (a) -0.1  (b) -0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 68810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 20  (c) -237\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 + 13*g**2 - 23*g + 20. Let n be k(11). Calculate the highest common factor of n and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -1267*g - 15238. Give h(-12).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*t - 91*t = -3070. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*w**2 - 78 + 2*w**3 - 25*w + 79 - 5*w**4 - 26*w**2 - 19*w**2 to t*w**3 + r*w**4 + d*w**2 + b*w + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-28)\/(-16)*168*1. Suppose -12*c - x = 2*c. What are the prime factors of c\/(-14)*(-76)\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-27 - 14) + -3).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1492 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -16*d**3 - 3*d**2 + 12*d - 7. Let u be f(-5). Let q = u + -1273. Suppose q = 12*v - 1203. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1550.3905 - -1270.345. Let g = x + 280. What is g rounded to 3 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -0.8. Let r be ((-2)\/26 + 0\/(-2))*-1. Which is the third smallest value?  (a) h  (b) r  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - l**2 - 1. Let c(u) = -222*u**5 + 2*u**3 + 16. Let v(m) = c(m) + 2*j(m). Find the third derivative of v(q) wrt q.\nAnswer: -13320*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -1 + b - 10*b**2 + b - 2*b + b. What is g(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 82\/165 and -137\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6083010, -6083007, -6083002, -6082995?\nAnswer: -6082986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -8 - (0 - (6 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2*f**2 - 3*f**4 + 9*f**2 + 8*f**2. Let g(q) = -q**4 + 5*q**2. Let s(m) = -11*g(m) + 4*w(m). Find the third derivative of s(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r + g = 8*r - 85, 0 = 3*r + 28*g - 24*g + 34 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 3*z**2 + 3*z - 5. Let t be k(3). Suppose -11 + 0 = -3*r - t*q, -2*r + 3*q + 30 = 0. Let c(l) = -l**3 + 9*l**2. What is c(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3169285474 rounded to the nearest one million?\nAnswer: 3169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -301 + 301. Find the second derivative of j*f - 3*f**5 - f + 0 + 62 + 5*f**3 - 6*f**5 wrt f.\nAnswer: -180*f**3 + 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7281141.8 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 4*k + 2 = 0, -128*k - 16 = -5*n - 131*k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of 0 + 1\/6*q**3 - 2*q**2 + 2*q. What is the units digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-22)\/(-44))\/((-10)\/4). What is the second biggest value in -2\/7, 33\/5, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1100101010000001 (base 2) to base 7\nAnswer: -304066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 87 - 87. Suppose -w = 2*k + 4*w + 367, -4*k - 2*w - 710 = o. Let c = 54 - k. What are the prime factors of c?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x**3 + 26*x**2 - 6*x + 11. Let a be r(13). Let w = -64 - a. Find the third derivative of 8*l**6 + 547*l**3 - 547*l**w - 19*l**2 wrt l.\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 2*n - 3*n)*((-3*n - 4*n + 5*n)*(-2*n + 6*n - 2*n) + 1732 - 49*n**2 - 1732).\nAnswer: 212*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-77)\/308)\/((-1517)\/888).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*1 + 3 + -7. Let d(n) = n + 4. What is the units digit of d(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -4\/5, -177\/265, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 87 divided by 5\nAnswer: 87\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 9. Let p be (-1464)\/(-16) - k\/2. Calculate the highest common divisor of 18 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 815.3255 decades to millennia.\nAnswer: 8.153255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92\/(-69))\/(3668\/13524 + ((-24)\/(-14))\/(-6)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -45 - 90. Let k = 83 - l. Calculate the remainder when k is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*z - 40*z - 42*z)*(1 - 4 + 4) to x + c*z and give c.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -471*l - 9 = 3*q - 470*l, 3 = 3*q - 3*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -23*l + 24*l. Let s = -8 - -4. Let k be (5 + -3)\/((-2)\/s). Solve k*r + l = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*505\/(-1) + -1 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 2*x - 17, x - 34 = -2*z - 0*x. Calculate the greatest common divisor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1450 and 2?\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 108919 is divided by 54455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4\/901 + -5522\/26129. Is 1 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10442 (base 6) in base 12?\nAnswer: -a22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -9, 4\/103, -1\/2659, -0.6?\nAnswer: 4\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + -3 - -5 - -225. Suppose -4*w = -g - 196, -7*w - 3*g + u = -2*w. Suppose -4*c + 0*c + w = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, o: 3}. What is prob of picking 2 o and 1 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 12*v**2 + 27*v + 38. Calculate b(14).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1344) + -1*sqrt(1344) + sqrt(1344) - sqrt(21))\/(sqrt(9)\/(sqrt(15)\/sqrt(5)))*-5)**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -8*k**2 + 2 + 168672*k**3 + 8 - 168671*k**3. Calculate i(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4\/15 and 35\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -0.3, -936\/19, 0.5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*d = -5342 + 25782, -4*y + d = 81739. Let c = y + 1573445\/77. What is the common denominator of 11\/6 and c?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)\/(sqrt(48)\/sqrt(4)) - (sqrt(108) + sqrt(108)*-1 - sqrt(108) - sqrt(108)))*3)\/((sqrt(90)\/sqrt(3)*-2)\/(sqrt(5)*1*-1)).\nAnswer: 21*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = -u + 18, 4*a - 2*u = -18 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 2, -2, 13 in ascending order.\nAnswer: -2, 1, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-333 + 31*x + 333)*(-24*x**3 - 6 + 69*x**3 - 5*x**2 - 48*x**3).\nAnswer: -93*x**4 - 155*x**3 - 186*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -1 + -8 - (-37 + 8 + (-35 - -61))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14761, 29521, 44281, 59041?\nAnswer: 73801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.3  (b) -2  (c) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of -179*u**4\/4 + 681*u**2\/2 + 397. Find the second derivative of p(l) wrt l.\nAnswer: -1074*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of n**5\/20 - 51*n**4\/4 + 2601*n**3\/2 - 5*n**2 + 8. Determine x, given that g(x) = 0.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*o**3 - 5*o**2*u**2 - 189*u**2 with respect to o.\nAnswer: -36*o**2 - 10*o*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16585 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 4*m**2 + 5*m. Let f be x(-5). Suppose 0 = y + y + n - 3, -4*y + n + 21 = f. Factor 0 - 10\/3*k**3 - 2\/3*k**5 + 0*k - 4\/3*k**2 - 8\/3*k**y.\nAnswer: -2*k**2*(k + 1)**2*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) -2\/15  (b) 0.07  (c) -2\/11  (d) 2\/3  (e) -2068  (f) 0.3  (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -4484, -17059, -37800, -66701, -103756, -148959?\n\"Answer: n**3 - 4089*n**2 - 315*n - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -64 + 66. Suppose -2*f + 12 = 2*f. Suppose -5*g + 135 = -m, 6*g + f*m = t*g + 127. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**3\/5 - 396*x**2 + 173472*x\/5 - 4229056\/5.\nAnswer: 4*(x - 391)*(x - 52)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-16)\/6)\/2*(-18)\/12. Solve -k*y = -0*g + 2*g - 4, 2*g + 20 = 4*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**3 + 12*t**2 - 11*t + 9. Let n be h(11). Let y be (0 + -1)*(810\/n)\/(-9). Solve y*u - 7*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w = 12, -8*w = g - 6*w - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*o**6 - 2446*o**5 + 13*o + 54*o + 2586*o**5 + 20*o**2 wrt o?\nAnswer: 480*o**3 + 8400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2 + 172*h + 666. Determine g(-55).\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-558)\/45)\/(2\/(-5)). What is the highest common divisor of 341 and w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -56\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1209995622 - 0.0363.\nAnswer: -1209995622.0363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -2*t + 4*t. What is the smallest common multiple of t and (-5)\/2 + 4 - ((-225)\/10 + -4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -7*w**2. Let c(f) = f**2 + 434*f - 434*f. Calculate j(c(z)).\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1468294 a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 - 3)*(-n + 2*n + 0*n) + (716 + 663 + 475 - 382)*(5*n - 5*n - 16*n) to j*n + a and give j.\nAnswer: -23554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from {t: 2, n: 2, e: 2, s: 1, m: 5, a: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 135000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 12769*x**2 - 4*x + 2. Let c be h(2). Let q = 308665\/6 - c. Let f = q + -373. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 - 251 = -31*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-1412)\/(-52) - 70\/455. What is the highest common divisor of 675 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*y**2 - 35514235*y - 20293860.\nAnswer: 5*(y - 1014693)*(7*y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -290, -365, -514, -755, -1106, -1585, -2210, -2999?\nAnswer: -3970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + 3*s - 19, -3*m - 2*m = -2*s - 18. Calculate the greatest common divisor of 28 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqhbl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(1 - (4 - 4)). Let g be -2*-6*l\/(-8). Let y(r) = 3*r + 2. Let c(i) = -i - 1. Calculate g*y(n) + 6*c(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 1692 = -12*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 17\/7, 3\/2 in descending order.\nAnswer: 17\/7, 3\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 177009 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -200*c**4 - 82*c + 374*c**4 - 175*c**4 + 2 + 2*c**3 + c**2 to x + n*c**3 + d*c**4 + q*c + t*c**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2743 = -3958*l + 432 + 406027 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 192028987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 28609615658.5 and 1631.\nAnswer: 28609617289.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 133 - 1136?\nAnswer: -1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3701804?\nAnswer: 2, 23, 40237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -27781 (base 15) to base 4\nAnswer: -132321223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1278)\/(-27))\/(1\/3). Let c = n + -132. Suppose 0*i - 270 = -c*i. Calculate the remainder when 51 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*6\/(-16) - 1860\/(-8). Suppose h*j = 233*j - 20. Solve 15 = -o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*c - 5*n - 9, 3*c - 4*n + 39 = 0. Let h(i) = 0*i - i - 6*i + 6. Is h(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (3 - -2) - 35.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 50 + -34. Let m = 91 - 87. Calculate the greatest common divisor of s and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 6. Which is the nearest to h?  (a) -3  (b) -0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = 4*x + 30, 233*x + s + 302 = -3*s - 1325 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 199\/11 + -1371\/77. Let y(h) = 5*h**2 - h. Let w be y(1). Which is the nearest to -5?  (a) w  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 754 and 8671.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -b**3\/3 + b**2\/2 - b + 3. Let v(l) = 2*l**2 - 4*l + 5. Let y(t) = v(t) + 4*x(t). Differentiate y(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/7)\/r)**(-21))**(-9\/5)*(r**5*r**1)\/(r*r**(-2\/27)*r**(-4)) assuming r is positive.\nAnswer: r**(-1691\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*4*((sqrt(441)\/(-2*sqrt(7)))\/sqrt(9) + sqrt(28)\/((sqrt(396) - sqrt(44))\/sqrt(11)))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -45.2, 5, 5.5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.31155 - -0.306. What is q rounded to four dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 3:01 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50\/(-35)*(-273)\/(-468).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17f - -2?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -541, 2\/21, 289?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49 = t + 12*j - 7*j, 147 = 3*t + 5*j. Calculate the remainder when 134 is divided by t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -12*q**2 - 5*q + 10. Let j(u) = 7*u**2 + 3*u - 6. Let v(h) = -5*j(h) - 3*l(h). Let f(p) = -2*p**2 - 32. Calculate v(f(i)).\nAnswer: 4*i**4 + 128*i**2 + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 3674 divide 3268064854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -17*s - 214. Let h be (-12)\/8*(-1 + 232\/24). Let r be o(h). Solve 4*j = r*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the third derivative of -p**7\/1260 + p**6\/720 + p**5\/120 - 5*p**4\/144 + p**3\/18 + 711*p**2. Factor k(d).\nAnswer: -(d - 1)**3*(d + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*k + 4*r, -653*k + 4*r = -657*k + 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -712, -2905, -4952, -6781, -8320, -9497, -10240, -10477?\n\"Answer: 12*i**3 + i**2 - 2280*i + 1555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 14*y - 4. Let m(p) = -22*p**2 + 12*p**2 + 5*p**2 + 7*p**y. Let w(u) = -4*u + 1. Give w(m(b)).\nAnswer: -8*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 213 = 8*f - 123. Suppose n - q = f, -n - q = 4*q - 36. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -w**3*y**2 - 118*w**3*y + 4*w**2*y - w*y - 36*y**4 wrt y.\nAnswer: -2*w**3 - 432*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -39 - -33 - (5 + -20)*(-3)\/(-5). Which is bigger: o or 1\/432?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 3*o**2 + 4*o + 9. Let a be n(-2). Differentiate -21 + 3 + 2 - a*i**4 with respect to i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -4523\nAnswer: 13569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 16475138429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -27*n + 539. List the prime factors of y(8).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/((h*h**0*h*h)\/h))**30\/(h*h\/h**(1\/4))**(2\/51) assuming h is positive.\nAnswer: h**(-7\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 65*t + 64*t + 62*t - 202*t to the form f + u*t and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -40, 3, -12\/1879, 13\/6 in descending order.\nAnswer: 3, 13\/6, -12\/1879, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u. Suppose a = 3*x - 13, -3*a + 3*x - x = 18. Let y(k) = 3. Let b(t) = -t + 4. Let l(i) = a*y(i) + 3*b(i). What is p(l(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 5 = 4*q, 9 = 5*m + 4*q. Put 4, m, 6 in descending order.\nAnswer: 6, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 6:02 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -2*p**2 - 4036*p + 4038 = 0.\nAnswer: -2019, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 616, 5, -35\/4, -3, -2 in decreasing order.\nAnswer: 616, 5, -2, -3, -35\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/6)\/(12\/(-18)) + 731319. Let z = -1180668 + p. Let w = z + 9549350. What is w rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 23 = x, 3*x - 11 = 4*c + 14. Suppose o + 0*o + 7 = 2*r, 0 = 2*r - 5*o - x. Put -5, r, 1 in descending order.\nAnswer: r, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + 6553 - -1) + -2. Let f = c - 131057\/20. Calculate the common denominator of 3\/2 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 114 = 3*a + 105, 4*a + 2*d = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13184458*p*q*r**2 - 7741*p*r**3 + 2*q*r**3 - 1482*r**3 wrt q?\nAnswer: -13184458*p*r**2 + 2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 18471075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 26429 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 12*r - 38. Give s(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from szssz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.28 - -0.02. Let m be ((-1 - -2)*(-22)\/(-132))\/(-1). What is the closest to 0 in m, -0.07, g?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/26*(-4)\/1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1137959258?\nAnswer: 2, 568979629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -x**3\/3 - 3*x**2 - 4*x - 23. Determine b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) be the first derivative of -4*p**3\/3 - p**2\/2 + 5*p - 212. Let l(i) = -5*i**2 - 2*i + 6. Determine -2*l(f) + 3*m(f).\nAnswer: -2*f**2 + f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 36633, 0.8, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -33*v**3 + 65*v**2 + 3*v - 3. Let o(j) = -34*j**3 + 65*j**2 + 4*j - 4. Let q(c) = 3*o(c) - 4*s(c). Find the third derivative of q(b) wrt b.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 101012132?\nAnswer: -101012203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (26 + 83510\/(-3185) - (-2)\/14)\/(5\/50)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11823?\nAnswer: 3, 7, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 AM and 10:04 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxkpxasksjxjjj. Give prob of sequence pka.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1246*c**4 + 50*c**2 - 655*c - 312?\nAnswer: 14952*c**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + (1 - (-4)\/4) + 1. Solve 4*n - 1 - 7 = p for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1175*d + 1175*d + 121*d**2 in the form c*d**2 + i + s*d and give c.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1632 + 1729. Calculate the highest common divisor of 9 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let c = -423 + 596. Let j = c - 86. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 3*v - 12, 2*s - 298 = 4*v - 280 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3781803 is divided by 8404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) -0.442  (b) -5  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 = -3*a + 7*a - 5*x, 2*a = -5*x - 43. Let p be 3\/6 + a\/4. What is the units digit of (-6)\/p - (-2)\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 9:26 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.04767 times 1.40173\nAnswer: 0.0668204691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 717885 by -5.\nAnswer: -143577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n + 1. Let h be d(3). Suppose 30 = h*o + 5*f - 10, -2*o + 4*f = -20. Let i = o - -6. Calculate the remainder when 31 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the first derivative of -5*y**3\/3 + 71. Let b(n) = 194*n**2. Give b(p(m)).\nAnswer: 4850*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 406814 and 2354?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -133, -369, -819, -1555?\nAnswer: -2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*o + 97 - 2176. Find the common denominator of (-4)\/(-184)*-4*o\/24 and -101\/26.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46 + -59 + (30 - 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i = -5*i - 96. What is the remainder when i is divided by 1\/(2\/(-22)*-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a hour in minutes?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x + 380. Let b be h(-17). Calculate the greatest common factor of 320 and b.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -5*d**4\/12 + 45*d**3\/2 - 315*d**2 - 2*d - 541. Factor z(h).\nAnswer: -5*(h - 21)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*j + 159 = 3*r + 3*r + 98*j - 84, r = j + 35 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.2 - 18.2. Let q = -14.8 - y. Let c = 4.8 + q. Sort -0.5, 2, c in decreasing order.\nAnswer: c, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 123318953292 and -0.5.\nAnswer: 123318953291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -22, 1\/2, -1144, 3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7673226 and 330?\nAnswer: 38366130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2751765 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -637.494  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -385 divided by -261\nAnswer: 385\/261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 2\/119, 3, -3, -17?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 14*h - 60. Solve -17 = -3*m - 28*q + 32*q, -h = -4*m - 3*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10114939 to the power of 1\/2, to the nearest integer?\nAnswer: 3180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 10 = 0, 192 = p + 2*d - 0*d. Calculate the greatest common factor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1\/3, -9, 0.1, -1\/2, 69, -0.4, -0.13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-197827)\/33530*10\/1?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 1140*f**3 - 4*f**2 - 9*f + 20. Is n(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42513666 (base 7) to base 3.\nAnswer: 20210202222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008390804 rounded to 6 decimal places?\nAnswer: 0.008391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 457  (b) 1\/5  (c) -1  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 3*w - 4*j = 7, 0 = -w - 5*j - 2. Let l = -1 - -3. Solve -f + w*a + l*a = -25, f - 1 = -a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.63997057 to four dps.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 21910 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*t + 18*y - 19*y + 59 = 12*t, -3*y = t + 63 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 - 41. Solve -v + j*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -7*o**2 - 13 - 6*o + 20*o**2 + o. Let p(m) = 6*m**2 - 2*m - 6. Suppose 3*q - 8 = 4*u, 20 = -0*u - 4*u. Calculate q*f(h) + 9*p(h).\nAnswer: 2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**27*k)\/k)\/k**(-2\/29))**(-2\/3))**38 assuming k is positive.\nAnswer: k**(-59660\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = k - 5*w, -3*k + 12 + 16 = -5*w. Suppose k*g = 2*g - s + 32, 4*g = -2*s + 36. Solve -6 = 10*x - g*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -5*s + 3. Let l be b(-2). Suppose -2*z = -5*p + 15, 2*p - l = -z + 2. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -348*b**3 + b**2 + 4*b + 9. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.62761549 to 4 decimal places.\nAnswer: 9.6276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -281.3 or 1?\nAnswer: -281.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (21\/((-16380)\/4602))\/((-4)\/(-8*5))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 9*c**3 - 11333*c**2 + 2435*c + 104494. Calculate i(1259).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + 13. Suppose 0*b + 3*b + f = 0. Let k(w) = w**2 + 7*w + 1. Let z be k(b). Round z to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 145285, 290570, 435855, 581140?\n\"Answer: 145285*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -59*v**3 - 4*v**2 - 2*v. What is the least common multiple of 6 and p(-1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 493*z - 514*z = -63 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3604376*o - 4327029 wrt o?\nAnswer: 3604376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 PM and 3:51 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -115, -113, -111, -109?\n\"Answer: 2*k - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 310 - 14569\/47. Let m = -57\/470 + f. What is the fourth smallest value in 2, -4, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/10 and 27\/39686.\nAnswer: 198430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*s = x + 23, 3*x - s + 2 = 0. Solve -5*k - 21 = 4*a, 0 = -a + k + 7 - x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -47\/5 in 0.0414, 2, 3, 4?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 133*o + 136*o + 133*o - 403*o. Let y(m) = 10*m**2 + 4*m**2 + 0*m - m + 10*m**2. Give y(k(j)).\nAnswer: 24*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 41. Suppose -w*a - 59 = -84. Suppose c = -3*c + p + 7184, 0 = -a*c + 3*p + 8987. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a - 70. Give v(19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43 - 47 = -30*a. Solve 19 = 3*w - l, 6*w - 9*w = 3*l - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0017922 and 3.\nAnswer: 0.0053766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -33, -218, -725, -1716, -3353, -5798?\n\"Answer: -27*g**3 + g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1359 - -1381. Solve -2*s + 5*d - n = 0, -3*s - 7 = -5*d + 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-91.\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 9, -5, -33, -75, -131?\n\"Answer: -7*w**2 + 7*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/1195 and 7 + -18 + 7 + 153\/75?\nAnswer: 5975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/9)*w**12\/w)\/((w**(-14)\/w)\/w**(-1\/11)) assuming w is positive.\nAnswer: w**(2587\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1966*r - 24*r**3 + 1966*r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 38 + (-4 - (6 - 9 - -7))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -5. Suppose -2*r - 12 = 3*j, 3*r + 3*j + 10 + 5 = 0. What is the smallest common multiple of 20 and q*12\/(-45)*r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26\/(-65)*25\/110.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 208\/5 and 42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 30 and 405.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -6\/43  (b) 2\/13  (c) 2\/7  (d) 0.5  (e) 3  (f) -1  (g) -92\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 675.\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*c**2 - 4*c + 10*c - 26 + 13*c**2 - 4*c - 7*c**2 to z*c + t*c**2 + k and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 17. Suppose 2*g + 2 = v. Suppose 3*l - 651 = 2*p, l + 2*p + 434 = g*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 - -110101101111000110000110?\nAnswer: 110101101111000110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 9516069191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by (-285)\/(-20) + (-15)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -41548?\nAnswer: 41544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, q: 4, f: 1, x: 1, l: 2, o: 6}. What is prob of sequence qlfq?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.043 times -11389\nAnswer: -489.727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 9855, 79066, 267029, 633156, 1236859, 2137550, 3394641, 5067544?\n\"Answer: 9902*x**3 - 36*x**2 + 5*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1*1\/3)\/((-35)\/(-315)). Let k(o) be the first derivative of o**4\/4 + o**3 + 3*o**2\/2 - 3. What is k(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddfdfdd. Give prob of sequence df.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/2)\/((-3)\/4). Suppose -q*h + m + 27 = 0, h + 4*m = 5*m + 14. Let p be 2\/((-12)\/h) - -2. Which is the third biggest value?  (a) -2\/3  (b) 5  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4164505 less than or equal to -4164504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-22)\/h)**(7\/5)*((h*h**(6\/17))\/h)\/h*h\/(h*h**(16\/7)\/h) assuming h is positive.\nAnswer: h**(-20309\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2848 + 6589. Suppose 18*z = 4161 + u. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 - 69 = 2*t, 5*t + 55 = 5*s. Calculate the greatest common factor of 2312 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of -w**2 - 2*w - 12. Suppose 0 = -o + 2*c + 6, -5*o - 5*c = -3 + 33. Give i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40475 and 131139?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 177546928.\nAnswer: 887734640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2262*a = 2174*a + 487960 for a.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -46*w + 9. Calculate the remainder when h(-4) is divided by ((-40)\/(-20))\/(1*4\/78).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -181642, -181652, -181662, -181672, -181682, -181692?\nAnswer: -181702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 + (-104)\/(-40) + (-6)\/(-15). Suppose 3*n + w*p - 7*p = 19, 4*p + 41 = 5*n. Solve 21 = 3*v - n*i, -v = v + 4*i + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + -10011110111?\nAnswer: -10011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 6, g: 9, j: 1, n: 1, b: 2}. What is prob of sequence jgg?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 9035249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9935*n - 34007 + 34007 - 42*n**2.\nAnswer: -42*n**2 + 9935*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2562 or 3344?\nAnswer: 2562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*z = -35*z + 64*z - 378 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -11*n + 79. Let j(z) = -1932 + 3*z - n*z + 1932. Let o(i) = 7*i - 2*i + 0*i + 0*i. Determine j(o(q)).\nAnswer: -15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 740115?\nAnswer: 3, 5, 16447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5552.824 nanograms in grams?\nAnswer: 0.000005552824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*v - 16 = u, -5*u - 578*v - 2 = -579*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 25845*g**2. Let o(q) = -5*q. Determine d(o(r)).\nAnswer: 646125*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 158763 - 1043.\nAnswer: 157720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/9 in 5\/2, -1\/6, 1, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 6*x**2 - 8*x + 5. Calculate m(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.148, -8142, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**2 - 41*p + 173. Determine v(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3*3\/(-9) + 2. Suppose 0*v + v - x = 0. Solve -v*d + 6*d = 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 9*m**2 + 5*m - 1. Let d be h(-4). Suppose 5*y + 48 - d = 0. Calculate the remainder when y + -3 + -1 + 1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 8*l**2 + 15*l + 17. Determine v(-9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/18*-2*287. Let n = -177 - k. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16051 divided by 7\nAnswer: -2293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1019?\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 74*b + 13*b**2 - 2 + 2 + 77*b in the form y*b + h*b**2 + g and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-24)\/b)\/(b**(8\/11)*b) assuming b is positive.\nAnswer: b**(-294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*r - 40*r - 25*r)*(-83 - 37 - 39).\nAnswer: 13038*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k + 28*k - 80 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -2*r - 7. Let a(x) = 0 + x - r + x - 4*x. Suppose 2*t - 4*u - 12 = 0, 2*u - u + 2 = 0. Calculate a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.1, 15, -1\/282, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5080*p**3*y**2 + 3*p**2 - 2512*p*y**2 wrt p?\nAnswer: 30480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 1. Let h be (j\/(-3))\/(2\/(-6)). Is (4\/6)\/h*-57 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/10092 and -59\/4?\nAnswer: 10092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 6*x**2 + 4*x + 2. Let g(q) = q**3 - 10*q**2 + 10*q - 94. Let f be g(10). Determine d(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 2094320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34 - 24. Let s = -671 + 684. What is the smallest common multiple of n and s?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-18))\/((-10)\/15)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c - 7. Let x be a(-10). Let g be (-10)\/(-15) + 13\/x. Suppose -g = 5*w, 4*w + 392 = 3*d + 8*w. Is d a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11 - -3 - (-1 - 0)) + (-15 - -24 - -65)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*y + 4*a - 2, 2*a = -5*y + 2. Suppose y*v = -v. What are the prime factors of (-6)\/(-3 + 1 - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3020, -6367, -9646, -12857, -16000, -19075?\n\"Answer: 34*v**2 - 3449*v + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -31*l**2 + 1424*l + 77. Determine p(46).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**2 + 5*k + 3. Let m(f) = 2 - f + 2*f - 5. Let j be m(4). Suppose -5*d - 11 + j = 0. Determine p(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o**2 - 24 + 0*o**2 + 8 - 16.\nAnswer: -3*o**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*v = -3*z - 5, -z + 1 = v. Let s be (2\/30)\/(z\/(-12)*2). Let -3\/5*p**2 - s*p + 0 + 0*p**3 + 1\/5*p**4 = 0. Calculate p.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18100?\nAnswer: 2, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4899048 grams in micrograms?\nAnswer: 489904.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*b = -2*b + 23, -2*s = 2*b - 8. Let z(r) = r**2 + 5*r - 6. Suppose -2*v + 5*t - 30 = 3*v, v - 3*t + 6 = 0. Let j be z(v). Is j bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*69*1)\/((-36)\/348) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9701 a factor of 1238390856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 927 a factor of 4536946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - -106. Let j = t + -68. Let o = 97 - j. What is the greatest common divisor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2*f + 5*c = 15, -3*c + 9 = 3*f. Let p be (12\/(-812))\/(3\/(-2)). Let n = p - -199\/406. Which is smaller: n or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*55\/80 + (-63)\/(-168)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192162*q**3 + 96148*q**3 + 96017*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20.945 - 61.519. Let h = y - -26.54. Let o = 14 + h. What is o rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -364*z + 3269 = 21754 + 2627 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.5  (b) 4\/5  (c) -2\/5  (d) 2\/11  (e) -21  (f) 4.67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 9*c. Let v(p) = 1579937*p. Give b(v(s)).\nAnswer: 14219433*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a - a + 0*a - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = -5*l - 27, 4*l = -5*z - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/(-15)*6\/48*-20*-4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 15359000 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1554)\/(-792) + 9\/(-12). Let x = 47 + -523\/11. Let h = n + x. Which is bigger: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (-3)\/3*6. Suppose 0 = 4*z - 10 - 66. Suppose -3*l = -3*x + 69, 5*l - 6 = z. Put 4, w, x in increasing order.\nAnswer: 4, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1644607638 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 + -3. Suppose -r*o + 2 + 4 = 0, 15 = 3*s + 2*o. Suppose -82*b + 306 = 20*b. Solve 2*k - b = s*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -j**4\/7 + 5227*j**3\/7 + 57898*j**2\/7 - 209044*j - 2493288 = 0.\nAnswer: -14, 17, 5238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-19 + (-3 - (-11 + 1)))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -24*h**4 - 976*h**3\/9 + 202*h**2 - 614*h\/9 - 4\/3 = 0.\nAnswer: -6, -1\/54, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 4*s**5 + 76*s**4\/7 + 60*s**3\/7 + 4*s**2\/7 - 8*s\/7 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 471.5 - 601. Let q = a - -136. What is q rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**3 + 6567784*d**2 - 5391979901610*d + 10783933532100.\nAnswer: -2*(d - 1641945)**2*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 845287, 3381152, 7607593, 13524610, 21132203, 30430372?\nAnswer: 41419117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, 16, -3, -8, -3\/22?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 6. Let y(w) = 6255*w + 11. What is 2*g(x) - y(x)?\nAnswer: -6253*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -303233 - -210131322?\nAnswer: 203222023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -6*6*((sqrt(162) + 2*sqrt(162))*-3 + 1 + (2*sqrt(162))**2)*3.\nAnswer: -70094 + 8748*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/(-2) + 2)*0. Solve -l = -h + 3, d = l + h + 2*h - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22220022 (base 3) in base 10?\nAnswer: -6488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08384027 - -1682.\nAnswer: 1682.08384027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 288 = 4511*m - 4509*m + 14*t, 2*m = 2*t - 48 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 6*u = -4*u - 23498, u - 117499 = 5*z. Round z to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 - 2*t**3 + 6*t**3)*(t + 1 - 1)*(-1 + 2*t + 1).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3. Let o(l) = l**3 - 6*l**2 - 5*l - 12. Let w be o(7). Give z(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 451736957 is divided by 155?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 3:04 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/39 + (-14445)\/26325\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 34*b - 13. Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-680)\/(-24)*(27\/240)\/(876\/1168)?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10604 is divided by 894.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(68) + -1) + sqrt(68) + sqrt(68))**2 + 6*(sqrt(68) + 1) - ((sqrt(204)*1*-6)\/(-2*2*sqrt(12)))**2.\nAnswer: -84*sqrt(17) + 4367\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -354801300 to the nearest one hundred thousand.\nAnswer: -354800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - 2*c - 6*c)*(54*c + 27*c - 41*c).\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1989\/(-34))\/13)\/((90\/(-12))\/5) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3420715, -6841309, -10261769, -13682089, -17102263?\nAnswer: -20522285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -33267 (base 10) in base 3?\nAnswer: -1200122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -3. Let j(q) be the first derivative of -7*q**2\/2 + 5*q - 33. Does 11 divide j(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 100 + -99.7. Which is the closest to j?  (a) 0.4  (b) 1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -0.5, 5\/8, 15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7.681 - 7.881. What is the nearest to 0.05 in -0.4, m, 19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 25*t**2 - 48*t - 4. Calculate a(23).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-2))\/((56025\/54)\/(-83)).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of -n**3 - n**2\/2 - n + 187. Let i(m) = 5*m - 2. Let p(c) = 3*c - 1. Let x(q) = 4*i(q) - 7*p(q). Calculate -2*l(y) + 2*x(y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 16  (c) -2  (d) -1  (e) -1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.81?  (a) 0.5  (b) 3  (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 10:52 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1524783*t**6 + 2919850*t**2 - t wrt t?\nAnswer: 182973960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j**2 - 26*j + 24. Let y be v(-11). Factor 14*o + 10*o + 16*o - 12*o**2 + o**3 - y*o.\nAnswer: o*(o - 14)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -485697 (base 10) to base 14\nAnswer: -c9009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + w = -2*t + 8, -t = -3. Let m be 2 + (1 - 1)\/w. Suppose m*a - a + 6500 = 0. What is a rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-96)\/60*395\/316\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 462 + 408. What is b rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*v**3 + 3 - 4 - 2*v - v**4 - v**2 + 0*v**3 + 7*v**3 + 0*v**3 as z + l*v**3 + s*v + f*v**4 + r*v**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -138040 divided by 2380?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.81394l in millilitres?\nAnswer: 813.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*(-5)\/(15\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.08 * -2054.\nAnswer: -164.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21531733?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q. Let t(z) = -1308*z. Give r(t(n)).\nAnswer: -2616*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/6)\/((-6)\/24)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 520  (b) -0.6  (c) 1\/3  (d) -0.217  (e) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 571 + -382. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 9*w + 9. Let j(z) = 1. Suppose 4*m - 42 = -3*m. Let a(i) = m*j(i) + n(i). Let r be a(-4). Is -21 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -492505*q*r**4 - 241*q*r**2 - 20202*q + 1784 wrt r.\nAnswer: -1970020*q*r**3 - 482*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -11*v. Let j(u) = 6*u. Let i = 110 - 111. Let a(k) = 3*k**3 - 2*k - 2. Let o be a(i). Determine o*q(m) - 5*j(m).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 136 + -97. Let u(q) = -q**2 + 7*q + 4. Let d be u(7). Suppose 5*m - v = -d. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/6*(-212 + 210)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.3 - 1.28. Let t = 0.05 - 1.05. Let u = t + i. Round u to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 40 and 3140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -3, -65, 3, -11, 45 in descending order.\nAnswer: 45, 3, -3, -7, -11, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 18*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 7*s + 5. Let k be o(8). Let v be 0\/(-3 - 6\/k). Sort -1, -7, v in ascending order.\nAnswer: -7, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*z - 80 + 90. Let q be 2\/(-6) - 2\/(z - 4). Calculate the common denominator of ((q - 1) + 3)\/(32\/162) and 85\/62.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(245)*2)**2 + -5) + (2*sqrt(5)*3 - (sqrt(405) + sqrt(405) + 3 - sqrt(405))**2).\nAnswer: -48*sqrt(5) + 3486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -4\/175, -4, -13, 3 in decreasing order.\nAnswer: 17, 3, -4\/175, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of m**8\/112 - 2*m**7\/35 + m**6\/10 - 27*m**2. Factor s(c).\nAnswer: 3*c**3*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 2*h**2 + 152*h + 4491. Let o be d(-39). What is the greatest common factor of o and 1177?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 853367*h**3*q + h**2*q + 291*h*q - 2*h - 442*q wrt h.\nAnswer: 5120202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 762 = 15*x + 807 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2815 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0040049792 rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 116*j + 160*j - 239*j + 0*j**2 - j**2 as b + p*j + u*j**2 and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(40\/228)*((-8330)\/(-2380))\/(21\/8).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 13*q**2 - 3*q - 5. Let w = -343 + 338. Let p(c) = 20*c**2 - 5*c - 8. Give w*p(t) + 8*x(t).\nAnswer: 4*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -6*x + 2*x + 52, -34 = -3*x - 2*p. Suppose 4*o + 4*y = x, -2*o + 3*o + 2*y - 2 = 0. Solve 0*h = 3*h - 9, -o*f + 3*h = 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 4*g - 3*g + 418, 5*m - 422 = -g. Calculate the greatest common factor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1073*h + 1071*h - 4 - 163 + (2*h + 1 - 1)*(2 - 6 + 0) + 0*h - 2*h + 3*h.\nAnswer: -9*h - 167","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) 3  (c) 2  (d) -2.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2084, -4181, -6296, -8435, -10604, -12809, -15056, -17351?\nAnswer: -19700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 4) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -5*r**3 - r**2. Let w be z(-1). Let b = w + -3. Suppose -y + b = -0. Solve 0 = -g + y + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/4 and -57\/52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 42*z**2 - 159*z - 789. Determine q(37).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 4*w - 2*w - 239, 199 = 4*q - w. What is the highest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 205022?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1572 and 3600.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 208?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73766*b = 73763*b + 4*n + 12, 3*b + n - 12 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 32*h - 14*h)*(-2*h + h + 2*h) + 2*h**2 - 2*h**2 - 2*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/184)\/((-201)\/8308*-31)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2*a**3 - 5*a**2 - 4*a. Give f(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6528?  (a) -2  (b) 3  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -219?  (a) -0.4  (b) -4  (c) 1  (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u - 3*u + 4*n - 24, -4*u = -2*n. Factor -i**3 + 7*i**3 + 0*i + 2*i**u - 5*i**3 + i.\nAnswer: i*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - -2 - (4 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w - w + w + (-2 - 8 - 11)*(-11*w - 2*w - 14*w))*(-4 - w + 4).\nAnswer: -565*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0*(1 - 0)*(-21 + 20). Suppose q*m + m - 4 = 0. Suppose -5*s = m*g - 69, 3*g + 4*s + 0*s = 51. Solve -4 - g = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by -1227265?\nAnswer: -9\/1227265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.239 - -13.239. Let o = -1.6 - -15.6. Let d = o - g. Sort d, -2, 0, 5 in ascending order.\nAnswer: -2, 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, e: 2}. What is prob of sequence ooeo?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*s**4 - 56392*s**2 + 190990800.\nAnswer: -56*s**3 - 112784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63431020 to the nearest integer?\nAnswer: 7964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 5*c - 21. Let s be n(15). What is the highest common divisor of s and 594?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -7, 0.09, -9, 0.2 in decreasing order.\nAnswer: 0.2, 0.09, -0.5, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -5, 3 in descending order.\nAnswer: 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 3*l - 3. Let g be y(-4). Let i(z) = z**2 + 6*z + 4. What is the units digit of i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (2*(-3 + sqrt(153)) - -2*sqrt(17)*-2*2)**2.\nAnswer: 24*sqrt(17) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes before 11:51 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18842719, -37685410, -56528085, -75370738, -94213363?\nAnswer: -113055954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*g + 40, 4*s - 110 = -38*g + 43*g. Calculate the highest common factor of 2425 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**4\/12 - 3*d**3\/2 + 11*d**2\/2 + 10*d - 1. Give y(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -145 + 213. Let d = t - 68.08. Round d to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d - 2*d + 2*d + d to the form q*d + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, 0, 5, -26\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = g - 3*g. Suppose 2 = -g*f + 90. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.3*-49174.\nAnswer: -309796.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -35*q**2. Let u = -237 + 239. Let s(g) = -27*g**u + 22 + 26*g**2 - 22. What is s(i(w))?\nAnswer: -1225*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddjhdhjdm. Give prob of sequence dh.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 1098289543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 20 = -5*l. Let k(i) be the second derivative of -i**5\/20 + 5*i**4\/12 - i**3\/3 - i**2\/2 + 12*i. Give k(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -313232 + -11?\nAnswer: -313303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of k**4\/2 - k**2\/2 - 4*k + 1. Let v(g) = -3*g**3 - 6*g - 2 + 8*g + 8 + 1. Calculate -10*l(b) - 6*v(b).\nAnswer: -2*b**3 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -3*o + 4*o + 12, -4*o - 26 = -2*q. What is h in -7*h - 4*h**2 + 24 - q*h - 2*h = 0?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 441444424 and 326?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1, 2\/18485, -7, -0.2?\nAnswer: 2\/18485","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -3594?\nAnswer: 2\/1797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -221 + 380. Let z be s + 9 + 12\/(-2). What is the greatest common divisor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -23*t**2 - 16*t + 17. Let r(y) = -8*y**2 - 5*y + 6. Let l(s) = -6*m(s) + 17*r(s). Find the second derivative of l(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, k: 3}. Give prob of picking 2 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(6\/6)\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, h: 18}. Give prob of picking 1 h and 1 i.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-32)*(-23800)\/714.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 13*t + 6 - 3*t**3 - 20*t in the form y*t**3 + f*t + z + b*t**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -125 - 204. Let y = i + 341. What is the remainder when 142 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2\/5 - 7566732*v\/5 + 1513346.\nAnswer: 2*(v - 3783365)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 970 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + 68?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 841 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 6:12 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.391 and 0.03498.\nAnswer: -0.35602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -30430 divided by 23598?\nAnswer: -15215\/11799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4860421 - 4?\nAnswer: 4860418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/36*(12934\/464 + -28).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**4 + m - 1 + 0*m - 2*m**2 + 4*m - m as q + r*m**4 + d*m**3 + c*m**2 + g*m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -35\/69 + 4\/23. Which is the closest to -0.1?  (a) -0.1  (b) n  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -2*q**2 + 40*q + 1892. Determine s(37).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2241.451452 + -0.208548. Let d = -2284 - s. Let b = 42 + d. Round b to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*f - 11*f - 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.37 less than 2334580?\nAnswer: 2334576.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v + 3*f + 15, -2*v - 3*f - 9 = -5*v. Suppose 3343 = 5*j - 3*l, 0 = -5*j + v*j + 4*l - 687. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 11bc - 1ae?\nAnswer: 100d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 4*q. Let f(n) = -2*n + 25. Let y be f(11). Suppose 7*u + 4*c - 152 = y*u, 3*u - 2*c - 124 = 0. Let h = -42 + u. Give l(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a - 143 = -11. Let l(u) = -u**3 + 23*u**2 - 19*u - 42. Let n be l(a). Solve 0*q + n = 6*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2  (b) 1\/3  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10695.5 less than -605\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6816 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1863 - -1860. What is the closest to 1 in 0.3, z, -2, -25?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*o**3 - o - 2*o**2 + 0*o**4 + 2*o**4 - 13*o**3 + o**3 to g*o + h*o**4 + m*o**2 + z*o**3 + k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 543 minutes after 3:31 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -7 - 10 - 4 - 1 - 3*f. Does 6 divide p(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6129599 is divided by 55.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*j**4 + 114*j**3 - 114*j**3 + (0*j + 2*j + 3 - 6*j)*(-j**3 + 4*j**3 - j**3).\nAnswer: -15*j**4 + 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12530, -12521, -12498, -12455, -12386?\n\"Answer: y**3 + y**2 - y - 12531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -571, 3 in decreasing order.\nAnswer: 3, -5, -571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 10*b**2 - 3*b - 2. Calculate the least common multiple of (((-36)\/(-10))\/(2079\/(-1980)))\/(48\/(-448)) and y(-2).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/20 + 3\/((-12)\/2159). Let u be i\/6 - -1 - (3 + 0). Let y = u - -146. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 4458, 4461, 4466, 4473, 4482?\n\"Answer: c**2 + 4457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 140 and 154?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, v: 7, o: 8}. Give prob of sequence vo.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 58093647 to the power of 1\/4, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ffi when three letters picked without replacement from zyzziqyilffzffi.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 90741?\nAnswer: 36296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) 21  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-30)\/686)\/((-12)\/(-126)). Let l = 48904\/49 - 998. Let j = f - l. Which is the second smallest value?  (a) -2  (b) -4\/7  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -38*i**2. Let a(h) = 650*h - 324*h - 327*h. Calculate a(f(v)).\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from coyocnc. Give prob of sequence cco.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 345 (base 6) to base 9.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p and 2 c when four letters picked without replacement from {c: 13, p: 6}?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*c = 40*c + 30. Let y = 27 + -26. What are the prime factors of (c\/25)\/((-798)\/(-795) - y)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/11 or 6\/23?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -227*d - 204*d + 962*d - 307*d - 226*d + 11.\nAnswer: -2*d + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8598321 is divided by 4244?\nAnswer: 4221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137505 and 1403085.\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1638 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-10) + (-2)\/10. Suppose 0 = -20*w + 19*w + 17. Let h = -5 + w. Solve 4*s = h, 4*x - 2*s + 0*s - 2 = i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 3*g + 4, -4*g + 7 = a + 21. Suppose -4*q + 10 = t + 2, -8 = 4*q + 5*t. Find i such that 2\/5*i**q + 2\/5*i**a + 0 + 0*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16420000 to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15499 - -15499.036105. Let b = -0.036 + t. Round b to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34972 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-16)\/10)\/((-2)\/5). Suppose y + b*l = 78, -38 = -y + 4*l - 0. What are the prime factors of y?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21627663 divided by 8061?\nAnswer: -2683","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 77 - 4. Let b = v + -32. Let d(g) = -g**2 - g + 5. What is d(b)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -3*sqrt(192).\nAnswer: -24*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 26*d - 49*d + d**3 + 5 + 10*d**2 + 43*d. Let g be y(-7). Let h(l) = l - 7. What is h(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 91 and 7813?\nAnswer: 54691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) -0.3  (c) 98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000004967 to seven dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 566 + -8?\nAnswer: 55b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 4 = 16*j - 14*j. Let o(k) = 35*k - 1. Let y(l) = -71*l + 2. Determine j*y(r) + 9*o(r).\nAnswer: 31*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**3\/3 - 3*g**2\/2 + 4*g - 9. Calculate x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 900858?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12, -196, -724, -1776, -3532, -6172, -9876?\n\"Answer: -30*n**3 + 8*n**2 + 2*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - 7*x + 17. Suppose 4*p = 0, j - 1 = 5*p + 6. Calculate u(j).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 8*g + 13. Suppose -15 = -4*r + 4*q - 3*q, 9 = r - 2*q. What is the remainder when r\/(-1)*(-14)\/6 is divided by m(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31007426.\nAnswer: 2, 113, 137201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 0 + -13 + -1 - -6 - -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 5*x - 10, q = -2*q - x - 2. Let m be 25\/15 + 5\/15 + q. Solve 4\/3*f**m + 8\/3 - 4*f = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 4 + 2424\/(-192). Is n at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1632 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o**4 - 621*o**3 + 7*o**2 + 67.\nAnswer: 24*o - 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/18)\/(5\/11410). Let j = -127 + z. What is the closest to j in 0.2, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4995*p - 630 = -4977*p for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 452021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 1 + m**2 + 2*m + 128*m**2 - 4*m - 4 + 0. Is a(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -388*d + 25476 = 384*d for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a + 16. Let b be s(-6). Solve 0 = -b*r - 3*z - z + 12, 2*r + 4*z - 12 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2.289, -0.4, -1\/6, -2, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -428*b**2*c + 351*b**2*k - 266*b*c - 702*b*k wrt b?\nAnswer: -856*c + 702*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 5*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23422000 rounded to the nearest ten thousand?\nAnswer: 23420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((1*sqrt(243) + -2)*-5 - (2 + sqrt(243) + sqrt(243)*-2 + -5)) + -5 + -2)*3)**2.\nAnswer: -3888*sqrt(3) + 35316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 71\/3 - 24. Let m = -2 - -2.4. What is the smallest value in -0.3, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 2 + sqrt(1872))**2 + sqrt(1872))*5 + -1 - -1*(sqrt(1872) + (sqrt(1872)*2 + 0)**2 + sqrt(1872) - (4 + 1 + sqrt(1872))**2).\nAnswer: 804*sqrt(13) + 15195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/6)\/(1\/(-1212)). Let r = v + 3101. Suppose -8*k + 13*k - r = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12))**2 - sqrt(68)\/sqrt(4)*-6.\nAnswer: 17 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-11)\/(h*h**(-5\/2)*h)*h**4*(h*h**(2\/35))\/h assuming h is positive.\nAnswer: h**(-451\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqcc when four letters picked without replacement from {c: 2, h: 3, i: 8, q: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -312 - -166. Let y = m + 145.19. What is y rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10182+4\nAnswer: -10178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 (base 6) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/5  (b) 1674  (c) 2\/23  (d) -0.3  (e) -5  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1121 - 10?\nAnswer: -1131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -38, -4, 1\/11, 17, 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 10*w = -15. Solve w*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 249166614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ddjddddddddjdddddd. What is prob of picking 4 d?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3699 and 75496?\nAnswer: 279259704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -3 - 15 - (-176 + 175)) + 71\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiib when four letters picked without replacement from {b: 3, i: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in seventeen tenths of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 0*a**4 + 0*a**5 - 27*a**2 + 0*a**3 - 5*a + 0 - 71\/30*a**6. What is the derivative of s(v) wrt v?\nAnswer: -284*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - 7*a**5\/20 - 18*a**3 + 12*a**2 + 3*a. Let q(d) be the first derivative of f(d). Factor q(c).\nAnswer: -3*c*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*t**3 - 4*t**3 + t**3)*(138 + 68 - 27).\nAnswer: -179*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2\/3, -2, -0.07, -16, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2305 + 2313. Let x(i) = i**3 + 7*i**2 + 4*i - 4. Let l be x(-5). Let o = 31 - l. Are o and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9414*w**3 + 5 - 5 + 3693*w**3.\nAnswer: -5721*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 209894 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 8*f - 66 = 4*w, 28 = 2*f - 2*w. Calculate the remainder when (2\/(-4))\/(f\/(-140)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2436712 divided by 1?\nAnswer: -2436712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {l: 9, p: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-10))\/(45\/(-50)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -3*t + w + 283, 0 = 4*t + 2*w - 286. Let f = 164 - t. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 AM and 3:56 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -30881\/16 - -1930. Which is smaller: r or 0.042?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.266 + 0.566. Let f = 3.7 + -4. Which is the closest to f?  (a) s  (b) 0.03  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34c9 (base 14) to base 12\nAnswer: 53a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1427, 1428, 1427, 1424, 1419, 1412?\n\"Answer: -q**2 + 4*q + 1424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c**2. Let x(t) be the first derivative of 0*t + 5\/3*t**3 + 0*t**2 - 2. Give w(x(h)).\nAnswer: -50*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6620 = 3*c - 12*o + 11*o, 3*c + 4*o - 6595 = 0. Let h(r) = -2*r**2 + 2205 - c - 2*r**2. Suppose 0*s + 2*w = -2*s, 4*w - 4 = 0. Give h(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 92.8 - 103. Let b = k - -10. What is the smallest value in 0, b, 0.9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79767466?\nAnswer: 2, 443, 90031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let s = 5937 - 5889. What is the greatest common factor of s and 2796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -12*v**2 - 290*v - 1576. Determine l(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 428 by -1.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 586. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.9, -40, 3?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 89, 94, 99, 104?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 53619 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2099 - -2098. Which is the nearest to -6?  (a) k  (b) 2  (c) 2\/13  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/38943 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 10, -23, -90, -203, -374, -615, -938, -1355?\n\"Answer: -2*r**3 - 5*r**2 - 4*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*7\/42*-15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 15*p**2. Suppose 79 = 4*h + 7. Let x(l) = -37*l**2 + h*l**2 + 18*l**2. Give m(x(g)).\nAnswer: 15*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*o**2 + 90*o**3 - 93*o**3 + 3*o**2 - 9*o**4 as j + w*o**4 + u*o**3 + l*o**2 + t*o and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 2. Suppose f = -0*b + 4*b - 40. Solve g = 3*g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/(-36)*2\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 + 6*y**2 - 7*y + 24. Suppose -3*n + 9 = 3*f, -f = 2*n + 291 - 292. Give b(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112) + 2 + (sqrt(56)\/sqrt(2))\/sqrt(4) + sqrt(7) - (4 + (sqrt(112)*-2 + -3)**2).\nAnswer: -459 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 17*l - 130 = 0. Let v be ((-8)\/l)\/((-10)\/(-75)). Let w(j) = -6*j**2 + 11*j + 8. Let a(z) = z**2 - z. Let d(x) = 5*a(x) + w(x). What is d(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1007\/4 - -252. What is the nearest to 0.1 in 2, -1\/14, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 43 + 19 = -3*z, 0 = -3*p. Calculate the greatest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -957*u = 3*a - 956*u - 14, 16 = 4*a + 4*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 6*f + 32. Let s be x(-5). Let b be -9 + (s + -2)\/2. What are the prime factors of -4 + 3 + 1 - b*6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (223 + 5*l - 223)*(0 - 5 - 6 + (2 + 0 - 3)*(2 + 2 + 1) - 4 + 1 + 2)*(3 - 3 + 2).\nAnswer: -170*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 8130\/(10\/5) - 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -120.7 + 124.7. Which is the closest to -6?  (a) -3  (b) -1  (c) -5  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6507 or -4309?\nAnswer: -6507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 - 51. Suppose -7*m + 3*m + 672 = v. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -4*h - 13. Let q be b(-5). Let y(f) = 13*f - 49. Let p(w) = 4*w - 16. Let o(u) = q*p(u) - 2*y(u). Find the first derivative of o(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -9*(-6 - -17)*(-21)\/(-9). Let q = 226 + d. Let g(x) = -1. Let p(y) = -4*y - 9. Let z(f) = -4*g(f) + p(f). What is z(q)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5\/2  (b) 2\/3  (c) -1\/6  (d) 0.1  (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, n: 1, s: 2, d: 2, t: 1, w: 2}. What is prob of sequence dn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4940\/(-312) + (-48)\/(-3))\/((-62)\/8).\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 199256 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 - 1985280?\nAnswer: -1985277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the first derivative of 191*t**6\/6 - t**4\/4 + 31*t**3\/3 - 401. Find the third derivative of s(f) wrt f.\nAnswer: 11460*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/(-2)*(-3)\/9*(-6)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -2*b - 4. Let u be a(-4). Suppose -224 = -3*n - 4*d, -6*n + u*d + 416 = -n. Let p(r) = -n + 80 + r. Let c(t) = -2*t. Give c(p(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 317316 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417004483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 42 and 1931594?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14834.\nAnswer: 2, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 4 + 82 = -3*i, 5*i + 154 = 4*t. Let h be 48 - (-2 - 0\/(-3)). Let s = i + h. Solve -15 = -3*u + p - 3*p, 0 = 4*u - 3*p - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - 22*b + 27. Let c(l) = 2*l**2 + 9*l - 1. Let u be c(-4). Let m(z) = -2*z**2 - 23*z + 27. Let y(n) = u*p(n) + 4*m(n). Solve y(i) = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/5112129 and -7\/36.\nAnswer: 61345548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 301936 times 8\nAnswer: 2415488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 390 a factor of 2013747840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, p: 2, h: 4, n: 4}. Give prob of picking 2 p and 2 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 12:51 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -91*f**3 + 3*f**2 + 11*f - 14. Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -7*2 + 2 + 2. Let n = a + 20. Suppose 0 = -t + n - 6. Solve -t + 14 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54944784 a multiple of 3088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13631 a factor of 584723833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -148444 to the nearest 1000.\nAnswer: -148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -1. Let w = 2\/83 - -75\/332. Let d = -1216 - -1214. Which is the nearest to w?  (a) -5  (b) d  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -17*q**2. Let l(x) = -2*x**2 - 1408*x + 341. What is l(o(n))?\nAnswer: -578*n**4 + 23936*n**2 + 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((115\/(-2300))\/(1\/(-235)))\/((-5)\/(-20))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -f**2 - 2*f + 10. Suppose -8*x + 5*x = 0. What is the tens digit of h(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2\/3  (b) -3  (c) -1040  (d) -2  (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*p = -15*p - 95 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 54226000 to the nearest 1000000.\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 - 3*o**2)*(0*o**2 - 2*o**2 - o**2).\nAnswer: 9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17561251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rm when two letters picked without replacement from rmh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1)**(-16)*(k*k*k**(-1)\/k)**29)\/((k**(-1\/9)\/k**(-2\/7))\/(k**5*k**(2\/13))) assuming k is positive.\nAnswer: k**(-9026\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 10*j**2 - j - 85. Let h be l(-9). Solve 0 = -h*k + 10 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5*(8\/(-6) + 14\/(-21)). Suppose 2*m + 5*j = 25, -4*j - 3 = -5*m + u. Solve -3*s = 5*p - 6, 0 = m*s + 4*p - 0*p - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 0) + (-5 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250390 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1330)\/(-133)*(-6)\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/j**(-1))*j**3)**(4\/7) assuming j is positive.\nAnswer: j**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3592 - 3590. Suppose t - 4*d = -4, 5*t - 5 = 4*t + d. Solve t = 3*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-2) + 6\/(-12). Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mereeymmermemmemmmee. Give prob of sequence em.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddwqddqdwqdwddwdndd. Give prob of picking 1 d and 1 q.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23 + 29. Solve n = -n - w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 46*k**2 - 967*k + 16. Give j(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 881 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3300, -12695, -28352, -50271, -78452, -112895?\nAnswer: -153600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2002 - -102?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n - 3. Let j be x(0). Let c be (-38 + 2)*((-1)\/j - -4). Let a be (c\/(-24))\/((-2)\/(-8)). Calculate the greatest common factor of 156 and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30420409?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-15))\/((-13585)\/(-969) + -14)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 6, q: 2}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 79684, 158562, 237440, 316318, 395196, 474074?\n\"Answer: 78878*d + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 28871 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*k + 15 = 10*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 54*v - 3*v**4 + 61*v - 104*v - 2 + v**4 to s*v**3 + m*v**4 + q + g*v**2 + i*v and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396)*3)\/((sqrt(4) - -1*sqrt(4))*-6) + 3*((1 + -2 + sqrt(396))*6)**2.\nAnswer: -5187*sqrt(11)\/4 + 42876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**2. Let a be 3\/(-2)*(-8)\/6. Let v(z) = -z**a + 2*z**2 - 2*z**2 - 2*z**2. Give g(v(p)).\nAnswer: 9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 78454975 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 1 + 2*n**2 + 6*n + 2*n - 9. Suppose -17*x + 4*x - 78 = 0. Let d be c(x). What is the greatest common factor of 112 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5331 to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.409 + 0.509. Let m = -0.13 - 3.07. Let j = m - -3. Which is the nearest to j?  (a) -5  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/1*(-16 - -5 - -15) + 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**2 - 121*g + 1045. Calculate w(9).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(65)\/(sqrt(5)*2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 5:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.406 + 0.006. Which is the third biggest value?  (a) r  (b) -3\/2  (c) 1\/35  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from httbbthhbbtbb.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*c + 461 = 45*c - 666 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11519 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3.3  (b) 5.3  (c) 2\/7  (d) 12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 60*r + 3. Let q be j(1). Let a = 8 - q. Let u = -46 - a. Solve -5*m = 4*g + u, 0 = g + 2 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 349 times -153.04\nAnswer: -53410.96","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7751 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 429 and 365 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**28*u**10\/u assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 77145719*s + 22348986?\nAnswer: 77145719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*z + 80 = -x - 3*x, 9*x - 245265 = 4*x + 3*z - 245302 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 5 + 3)*(-5*p - 2*p + 5*p) + (4277 - 1868 + 1685)*(4*p + 2*p - p))*(0 + 1 - 3).\nAnswer: -40936*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 9*r - 7. Let a be q(-10). Suppose i + a*w = -4*i + 4850, -2*i = 3*w - 1949. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -10518*k + 2*k**2 - k**2 - 10522*k - 10527*k - 29 + 31562*k. Calculate f(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 11*l**5\/4 + 221*l**4\/2 + 5701*l**3\/4 + 14503*l**2\/2 + 12360*l + 2016 = 0. Calculate l.\nAnswer: -21, -8, -3, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -4. Suppose 0 = w*z + 21 - 57. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3*n + 4*a + 3, -5*a = -3*n - 1. Suppose 0 = n*q + 2*q - 225. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -788 + 790. Solve 3*s = 3*t - 18, -t + i = 4*s + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8 - 0)*(-14)\/(112\/6). Let l(j) = 13*j + 6*j**2 + 2 - 1 + 3. What are the prime factors of l(g)?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*22\/(528\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9515 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1d226d + -5?\nAnswer: 1d2268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*i - 78*i + 1485. What is the greatest common divisor of i and 891?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 180 and 77900?\nAnswer: 701100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 83645, 167239, 250869, 334535, 418237, 501975?\nAnswer: 585749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 79*t + 5. Determine q(-1).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4 + 6. Suppose p + 3*p + d*h + 26 = 0, 18 = -2*p - 2*h. Let s = 5 + p. What is the greatest common factor of s and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 6*g + 17 = -g, 0 = 2*q + 4*g - 22. Suppose -2*c = -q*c + 4550. What are the prime factors of c?\nAnswer: 2, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (0 - 5) + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 119778783 + -442307?\nAnswer: 119336476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -19*y + 74*y**3 + 45*y**2 - 73*y**3 - 33*y**2 - 11 + 37*y. What is h(-7)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*l - 163 + 55 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 98984 or 98985?\nAnswer: 98985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -125.964 + -0.036. Let b = l + 124. What is the third smallest value in b, 3, 4\/9, 0?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 47\/84 + -5\/12. Which is the second smallest value?  (a) -0.9  (b) -0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - ((-14)\/(-5) - 0).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 37\/168 - 3\/24. Is -1 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 411118.284 to the nearest one hundred.\nAnswer: 411100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p = -60. Let o = 104 + p. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f + o - 26, -1502*f = -1503*f + 4*o - 49 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -0.1, -4.\nAnswer: -20, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 433972\/28 - (1 - -5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o - 3 + 2 + o**3 - o**2 - 2. Suppose 0 = -89*d + 152 + 115. Give q(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5679 - 24*f**4 - 3*f**3 + 5679)*(1 - f - 1).\nAnswer: 24*f**5 + 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -121 + 83. Let a = 718 - 752. Let f = a - k. What is the biggest value in 0.2, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 709 - 1?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 954400 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -7*m**6\/60 + 7*m**5\/60 + 11*m**3\/6 - 6*m**2. Let v(w) = -5*w**3 + 2*w**2 + 4. Let f(p) = 11*v(p) - 4*x(p). Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w**3 - 4*w**2 - 3*w - 2*w**3 - 5 - w**3. Let g be i(5). Let k(m) = 2*m**2 - 1. Let b be k(-1). Calculate the highest common divisor of g and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1736*u + 1171*u + 601*u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 348 and 12064?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*t**4 + t + 17*t**4 - 8*t**2 - 5*t**4 + 7*t**2 to the form o*t**3 + v*t**4 + j + c*t + q*t**2 and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 15*q**3 - 43*q**2 + 3*q. Let g(b) = 3*b**2 - 89 - 2*b + 40*b**2 + 89 - 15*b**3. Let a(w) = -3*g(w) - 2*m(w). Find the third derivative of a(v) wrt v.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -5*v - 107, -5*a - 103 = 3*v + v. Let r be 58\/3 - v\/33. What is the highest common divisor of r and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91*f + 3 - 864 = -32*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v - 5 = -10*u + 8*u, 5*u = 4*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1320, -1306, -1266, -1188, -1060, -870, -606, -256?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 285415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (8 - (352\/(-220))\/(1\/10)) + -2. Solve -z = -24*i + 13*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - a**2 - 10*a - 79. Is 17 a factor of d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/79 and -3\/25517.\nAnswer: 25517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*f - 8*f**3 - 24*f**2 + 95 + 11*f - 5*f - 95.\nAnswer: -2*f*(2*f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2297975 + 4.\nAnswer: -2297971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17, 152, 507, 1190, 2309, 3972, 6287, 9362?\nAnswer: 13305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/244?  (a) -2  (b) -5  (c) 0.3  (d) -2\/7  (e) -703  (f) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 12*x**2 - 4*x + 3. Suppose 0 = 3*i - i - 8. Is d(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -365*c - 135*c - 103*c - 498*c. Let q(m) = 2*m. Give v(q(l)).\nAnswer: -2202*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-18) + (9 - (-1520)\/72). Let m be (-5)\/(-36)*t - 1\/6. Solve 0 = -m*f - 1 - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 1. Let a(r) = r + 1. Let j(p) = -2*a(p) - 3*u(p). Let c be j(2). Find the second derivative of -c*i**5 + 6*i**5 + 2*i - i**5 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 5*c + 1 = 3*n, -2*n - c + 34 = 0. Calculate the lowest common multiple of n and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2 - 2)*(b**3 - 3*b**3 + 0*b**3) + 5*b**4 - 3*b**4 - 3*b**4.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*m = -0*a - 8, a - 1 = -m. Suppose 2*z = -a*z. Suppose z = -9*d + 4*d + 10. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5060 - 5015. What is the remainder when 193 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8\/7055?  (a) 16  (b) 5  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (8 - (10 - 19)) + -104 + 72 + -100\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)\/(2*sqrt(1440)) - (sqrt(1176) + sqrt(1176)*1)\/sqrt(12)) + 1)*-5.\nAnswer: -5 + 1675*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -147.117 plus -0.5?\nAnswer: -147.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.8202 + 0.0202. Let s = 30.5 - 24. Let p = s + i. Is -13 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -n + 4, 19*o - 24*o = -n - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 313922 is divided by 725?\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -390*o + 900. Let n(z) = -174*z + 400. Calculate 9*f(m) - 20*n(m).\nAnswer: -30*m + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100120 is divided by 50052.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3)\/s*s)\/((s**5\/s)\/s)*(s*s\/((s**5\/s)\/s)*s)\/(s\/s**5) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 21*u**2 + 9*u**2 - 13*u**2 + (-5*u + 3*u + 0*u)*(0*u + 2*u + 0*u) - 2*u**2 + 8*u**2 - 2*u**2.\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (((-140)\/(-77))\/(-5))\/(144\/264)*-66\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 14835 and -4642963.\nAnswer: -4628128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50, -87, -126, -167, -210, -255, -302?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2793 divided by -147?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1, 8, 19, 34, 53?\n\"Answer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.32 and 541.\nAnswer: 173.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20743, -20580, -20405, -20218?\nAnswer: -20019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 2:40 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162312 (base 10) to base 15.\nAnswer: 3315c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + 11. Suppose -k + 4 = 4*u - 5, 0 = -5*u + 4*k + 27. Give w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.113 - 0.087. Which is the second biggest value?  (a) 0.02  (b) j  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-4.93\nAnswer: 2.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 418915, 418913, 418911, 418909, 418907?\nAnswer: 418905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 10*p**2 + 13*p - 14. Let k be x(11). Let m be k\/(-6) + (-2)\/3. Let l = 20 + -24. What is the second smallest value in m, 3, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/9 or 0.15278?\nAnswer: 0.15278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2189.257 litres in millilitres?\nAnswer: 2189257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of -o**3\/3 + o**2\/2 + 14*o - 3. What is the lowest common multiple of 10 and i(0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 231 and 77?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -111159*c**2 + 68802*c wrt c?\nAnswer: -222318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y - 1568 = 15*y - 9634. Solve 217*w + 7 = y*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g. Suppose c - q = -4*c + 13, 4*q = 5*c - 22. Let u(m) = -2*m**2 + 2*m**2 + 2*m**c. Give u(f(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 2*b = -2, w = 3*w + 5*b - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180215051.\nAnswer: 23, 7835437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 31 = -5*q, 8 + 17 = 3*q - 4*g. Suppose -q*b - 6 = -2*h, -h - 9 = -4*b - 2. Calculate the highest common divisor of 18 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -333*j**2 - 39 + 4 - 17 - 20*j**3 - 148*j**3 + 334*j**2.\nAnswer: -168*j**3 + j**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.04 - 2.04. Let s be ((-8)\/(-20))\/(-1 - 1). Which is the closest to i?  (a) s  (b) 0  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 2*h + 34 = 0, 4*h - 875 = n - 908. Let d(c) = c**3 - 8*c**2 + 5*c + 8. What is d(n)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -19*j**2 + 13*j - 13. Suppose -k - 24 = 3*k. Let x(f) = -f - 3. Let g be x(-16). Let o(y) = -9*y**2 + 6*y - 6. Determine g*o(h) + k*w(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -59056 + 5?\nAnswer: -59051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.059, -0.06, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2362, 9456, 21276, 37822, 59094, 85092, 115816?\n\"Answer: 2363*f**2 + 5*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**3 + i**2 + 3*i - 1. Is k(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 134.8 + -135.1. Let d = 0.3 - 0.36. Let c = 0.04 - d. What is the nearest to -0.03 in -3, m, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 527 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.216 + 470.784. Let t = 470.27173909 + 0.72617091. Let u = z - t. Round u to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 17*q**2 + 46*q - 228. What is j(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4669.7 - -4669.680517. Round q to 4 decimal places.\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-75))\/((36\/3240)\/(1\/(-3)))\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*m - 145 + 124 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = -5*r + 21, -2*r + 3*i - 839 = -861 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 5 = -5*m, -70*z + 71*z + 4*m + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(396) + -2 - sqrt(396) - sqrt(396)) + 4)**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -40 (base 15) to base 6\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*p**2 + 12868*p + 51185 wrt p.\nAnswer: -4*p + 12868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -346 - a4853?\nAnswer: -a4b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyakyayyayayky. What is prob of sequence kyyy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + 1012211?\nAnswer: 1012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -113958\/25 at least -4558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**4 + 2*u**4 + 0*u**4)*(1 - 1 + 2) + (-u**4 - u**4 + u**4)*(-4 + 2 + 3) + 0*u**4 + u**4 + u**4 + 0*u**4 - u**4 - u**4.\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + (sqrt(98)*-1)**2 + 5 + -2).\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 3*s - 85 = 0, -s = 3*o - 3 - 67. Calculate the remainder when 124 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -154*d**2 + 63. Let r(n) be the third derivative of n**5\/12 - n**3\/3 - 2*n**2 + 27. Calculate -2*p(a) - 63*r(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -3.1. Let o = -87 + 85. Let t = 0.4 + -0.6. What is the closest to q in 0.5, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*u = 50*u + 4*w + 54, 50 = -5*u - 5*w for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one fifth of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -246*s + 19 + 13 - s**2 + 247*s in the form l*s**2 + k + n*s and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 5*b + 422 = 0, -16*b = 5*y - 12*b + 989. Let p(n) = -92*n - 5. Let v be p(-4). Let m = v + y. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 59936577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does -5895 = -1208528\/205?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(1\/17)\/w)\/w*w)\/w**(-1\/2)*w**(-7)*w*w\/w**0*((w*w\/w**2)**(-2\/7))**2 assuming w is positive.\nAnswer: w**(-185\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*q - 2*q - q + (-4 + 1 + 2)*(0*q - 3*q + 5*q))*(2 - 3 + 2)*(-5 + 5*q + 5).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 144494 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3\/(9 + 64\/(-8)) + 7 + 6520 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117284.\nAnswer: 2, 109, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w = 7*w - 75. Suppose 4*n - 8 = -0, 2*l - 18 = -w*n. Solve 8*p + l*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, 8, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-198)\/(-7))\/(-73 - 48 - -105) and (-3)\/28 + 0 + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2 - 7*g - 6. Let p(h) = -5*h**2 - 22*h - 17. What is 11*d(c) - 4*p(c)?\nAnswer: -2*c**2 + 11*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from famyiajyyymym.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3432114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 30, 49, 25, -2\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15499?\nAnswer: 11, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5063 + 5062.7987. What is n rounded to two decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -187, -374, -561, -748?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - 5*p**2 + p + 3. Let j be s(-5). Which is the nearest to -27?  (a) j  (b) 2  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7358866.5 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.011 - 22.011. Let k = -23 - y. Which is the second smallest value?  (a) 5  (b) 0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2. Let n(w) = w - 5 + 9*w + 6*w - 21*w. Calculate t(n(i)).\nAnswer: -50*i**2 - 100*i - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5018551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 451657 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5569 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*j + 82 = -13*j. Let l(b) = b + 1. Suppose 6 = -2*z + 2*h, h = 5*z - 5 + 4. Calculate the smallest common multiple of j and l(z).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 18*v**2 + 71*v - 3. Let h be d(-4). Solve 0*z = 4*u - 5*z - h, -4*u = z - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + -3)*2)**2 - (-2 + 3*sqrt(19))**2.\nAnswer: -63 - 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 3*p**2 - 2*p + 185. Determine c(9).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o**3)\/o*o)\/((o*o**1*o*o*o)\/o))\/((o\/((o**1\/o*o*o*o)\/o*o))\/o)**39)**(-13) assuming o is positive.\nAnswer: o**(-1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5039 or 5042?\nAnswer: 5039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1411 + 1409. Sort -5, o, 15, 2 in decreasing order.\nAnswer: 15, 2, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146865*i**2 - 73421*i**2 - 73438*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 j when two letters picked without replacement from {j: 2, x: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -226.992, 0.06 in descending order.\nAnswer: 0.06, -0.3, -226.992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26583 is divided by 2953.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 7*o**2 + 23*o + 5. Let q be w(11). Suppose 8*l = 1052 + q. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 4*d - 3 - 4*d**2 + 5 + 7*d**2.\nAnswer: 3*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-3)\/5)\/((-111)\/555). Let h(x) be the third derivative of 1\/8*x**4 + 2\/3*x**u - 18*x**2 + 0*x + 0 - 1\/60*x**5. Find j such that h(j) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, c: 2, m: 1, u: 5, f: 1, l: 4}. What is prob of picking 1 l, 1 m, 1 z, and 1 f?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 c when three letters picked without replacement from cccjccccjcccccjccj.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -7*j**6\/120 + j**5\/15 + 5*j**4\/24 - j**3 + 18*j**2 + 93. Let v(a) = 7*a**3 - 5*a**2 - 6*a + 7. Determine -6*g(i) - 5*v(i).\nAnswer: 7*i**3 + i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 6832 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 2. Let a(w) = 4*w + 2. Determine -a(f) - 2*k(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1292)\/(-969) + (-23)\/(-3). Solve g*v - 8*v = 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -332*x + 1857. Let f be l(6). Is f at least as big as 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5 - -8. Let z(n) = 2*n - 5. Let d be z(3). Solve j*b + d = -5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/1230445 and 67\/6490?\nAnswer: 27069790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1464 = -m - 2*b, -5*m - 2*b + 5*b = -7268. Find the common denominator of -61\/10 and 3160\/m - 2\/7.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - 32\/(-4) - (-1 - -4). Let q(b) = 0 + 6*b**2 - b**2 + 5 + 2*b**2 - i*b. Let x(p) = -11*p**2 + 3*p - 8. Let o = -3 - 2. Give o*x(l) - 8*q(l).\nAnswer: -l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 22*u - 1095. Determine m(53).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -35, 2, -2\/15, -5, 1.2.\nAnswer: -35, -5, -3, -2\/15, 1.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -58 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 389179114897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 27\/74, 4, 3, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 174, 1\/5, 332 in descending order.\nAnswer: 332, 174, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -8*t**3 - 7*t**2 + 4. Let z(d) = -4*d**3 - 3*d**2 + 2. Let r(a) = 3*i(a) - 5*z(a). Suppose r(j) = 0. Calculate j.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 + 1 - 7 - -10) + -360 + 352 - -78?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 2*u + 4088. Suppose 2*o - 2130 = u. Let s = o + -1019. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**3 - 4*g**2 + g - 4. Let r be k(-5). Let q be 2\/(-3) - r\/(-6). Suppose -x = -2*x + q*n + 6, -5 = 5*n. Solve -x*h = -2*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31299098.\nAnswer: 2, 43, 353, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, f: 1, p: 1, c: 1, w: 2, r: 1}. Give prob of sequence fpc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 85 + -86 - (0 - (6 - 5) - -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.5 rounded to zero dps?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, 1123, 0.03, 2, -5, 0.51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 8, 2*s - 32 = -s - 4*u. Let i = s - 7. What is the units digit of 1\/((-4)\/6 + i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7172443 to the nearest integer?\nAnswer: 2678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -18, -119 in descending order.\nAnswer: -18, -22, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154 + 130 = 6*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 6, 0.2, -1\/6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.17 and 83.1.\nAnswer: 82.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, 0.2, -699.1 in descending order.\nAnswer: 0.2, -14, -699.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 12:28 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 - 7*p**2 + 6*p + 1. Let f(l) = -l**3 + 10*l**2 + 2*l - 14. Let g be f(10). Let s be w(g). Is s\/((-1)\/(-446)) - -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -72 or -496\/7?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50 = -2*h + 2*q, -5*h - 2*q = -0*q + 132. Let r = h + 37. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -3*h + 7*w + 763, -5*h + 4*w + 1285 = 0. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-350))\/((9\/1)\/90).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 351 and 3081.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6298*s + 6297*s + 7726 = 0. What is the thousands digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*u + 614 = -6*u + 458 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {l: 1, g: 1, y: 3, o: 4, p: 4}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 10 - 1. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) -1\/4  (c) -0.3  (d) -6  (e) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2*k**2\/13 + 2342*k\/13 + 2344\/13 = 0.\nAnswer: -1, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2043 + 3045. Let l = m - 1001.8907. Round l to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1 and -1605640463638.\nAnswer: -1605640463637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 5*v**2 + 4*v + 3. Suppose 0*s + 5*s + 20 = 0. Let z = 2 + 4. Calculate the remainder when z is divided by k(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 329275 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (1 - -8 - (13 - 10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 - 0.33. Let r = 8.03 + s. Let o = 7.54 - r. What is o rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7250036 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 230078056727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**3 + 6*l**2 - l - 4. Let v be 1\/2 - 39\/6. Let a be d(v). Let i(u) = u**2 + 9*u + 8. Let q be i(-8). Solve q = -6*m + a*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/15 of a week in minutes?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.2657968ng?\nAnswer: 0.0000000002657968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 42 = 4*k - 3*o, 3*o = -3*k - 33. Let b be 4\/k - 84\/15. Let z be b*1\/(9\/(-3)). Solve 0 = a + z + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*u**4 + 19 - 23 + 16 - 2*u**3 - u + 3*u to g*u + d*u**2 + b + y*u**4 + w*u**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 7332 + (-2)\/1 + (111 - 103)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 11*w**2 - 8*w - 16. What is j(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(660)\/(sqrt(44)\/sqrt(4)))\/sqrt(3))\/((sqrt(128)*-2)\/sqrt(8)) + 0.\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - 16. Let r = c + -2. Let t = 29 + r. What is the nearest to t in -0.2, 0.7, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118 = 37*y - 141 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 200399845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -170728777 greater than -170728772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -3*b**2. Let q be ((-3)\/15)\/(15\/(-150)). Let l(y) = 10*y**q - 2*y**2 + 4*y**2. Calculate l(n(i)).\nAnswer: 108*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -7\/10, -3, 0.1 in decreasing order.\nAnswer: 1\/3, 0.1, -7\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1039907675 divided by -207981535?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 20950c1 + 0?\nAnswer: 20950c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -133a9 (base 14) to base 2\nAnswer: -1011100100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -7 - (-9 + 8) - 13\/(-3). Which is the fourth smallest value?  (a) 0.11  (b) -2\/7  (c) 0.01  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 140133625*n**5 - 235673416*n wrt n?\nAnswer: 2802672500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 209205 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*x**3 + 187*x**3 - 85*x**3 - 85*x**3.\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 170 = -176 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63 and 2324.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + 3. Let j(a) = a**3 - 7*a**2 - 10*a - 1. Let r be j(g). Let d(f) = 4*f - 3*f + 0*f + 3*f - 1. Let h(u) = 11*u - 3. Calculate r*d(b) + 6*h(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6c (base 13) in base 11?\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 171375207?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40.227 + 40.227. Let o be 6\/33 + (-8)\/22. Let x(k) = k + 5. Let y be x(-6). What is the nearest to y in q, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2429 - 2429. Solve 16*j - 10 - 86 = y for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*12\/16*(8051857\/(-33) + 9). Round o to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/16*(342\/19)\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2*t + 2)*(t + 1 - 1) + 2*t**2 + 2*t**2 - 3*t**2 - 796*t + 2*t**2 - 108461 + 216916 - 108455 in the form a + i*t + h*t**2 and give i.\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11893 by -1.\nAnswer: 11893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 256 + -64. Let l = -189 + r. Calculate the remainder when 39 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -91\/36 and -87\/742.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-420)\/(-18)*4131\/4590?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8.03 + 8. Let c = r - 0.37. Let y = -22.5 - -22.3. Sort c, y, -2\/13 in ascending order.\nAnswer: c, y, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 48*(3\/9 - 0). Let q be 100\/h + 3\/(-12). Solve 0 = -2*w + 2*s - q - 4, -5*s = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 7, -81.4, -2, -0.3, 1\/7, -3\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -343, 5, -12, -3, -5 in increasing order.\nAnswer: -343, -12, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1132357.401s in weeks?\nAnswer: 1.8722840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -448*m = -49*m + 304*m - 13357 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3024286.\nAnswer: 2, 53, 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 579244 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/10)\/(4*(-1)\/1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (46 - 51) + 24 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6091.869 + -6128.4. Let x = k - -14.745. Let n = -22 - x. Round n to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2569 + 18870. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 39a656 - -4?\nAnswer: 39a65a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1456 = 2*n - 10*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*x - 0. Let d be (-176)\/33*(-3)\/(-2). Let j = d - x. Let w(n) = -n - 5. What is w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the third derivative of h**6\/120 + h**5\/60 - h**4\/24 + 3*h**2. Let c(u) = 8*u**2 - 10*u**2 + 6*u - 4*u - u**3 + 2. Give c(b) + 2*q(b).\nAnswer: b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is c06 + e0f?\nAnswer: 1a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 270036 + -579?\nAnswer: 269457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 10388*1.8\nAnswer: 18698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -10*z + 9. Suppose 4*c - 125 = -v, z*c - 3*c + 400 = 4*v. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j + 1. Let p be z(1). Find the second derivative of -5*o + p*o**3 + 2*o - o**3 - 4*o**3 wrt o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*u**2 - u**3 - 28*u**2 + 7 - 29*u + 27*u to r*u**3 + w + b*u + v*u**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**4 + x**2 - x - 7. Let q(a) = -3398*a**4 + 4*a**2 + 1488*a - 28. Let h(u) = -4*i(u) + q(u). Find the second derivative of h(k) wrt k.\nAnswer: -40728*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35539.5 - -23776. What is q rounded to the nearest ten?\nAnswer: -11760","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 21\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5349109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 - 2*s**2 + 4*s**2)*(3 + 4 - 2)*(4*s - 6*s + 26*s).\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-17872)\/120 - 3\/45. Let z = -117 - k. Calculate the remainder when 190 is divided by z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jnxxqxg. Give prob of sequence qn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -394138 + 1026181. Let j = z - 632041.999998. Let b = j - 1. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -108522 divided by 6029?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-205)\/195 - -5 - 4. Let g = 4.9 - 5. Which is the third biggest value?  (a) -3\/7  (b) g  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 5*w + 2. Suppose 3*l + 1 = 4. Let d be ((-4)\/(-28))\/(3\/21). Let n(u) = 5*u - 1. Let f(k) = -k. Let p(m) = d*n(m) + 6*f(m). Calculate l*r(o) + 3*p(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -0.4, 1426?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13 + 2*j**3 - 64*j + 64*j wrt j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -164 - -210. Let i(m) = -22*m**2 - 25*m**2 + r*m**2. Let d(g) = -6*g. Determine i(d(j)).\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = 4*l - 4*v, -2*v + 35 = 2*l - 7*v. Suppose 3 + 0 = -3*h. Let r be h\/4 + l\/(-56). What is the biggest value in 1, 0, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 639 - 617. Put -2\/7, u, 1\/3 in decreasing order.\nAnswer: u, 1\/3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 927963352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 10 = -y. Suppose d - 70 = y*g, 4*d - 210 = d + 2*g. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22406*z - 266*z**3 + 22406*z + (-3*z + 2*z + 3*z)*(-z**2 + 0 + 0) + 1 - 1 - 2*z**3.\nAnswer: -270*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-311)\/(-2177)*(54\/6)\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 316114 (base 7) to base 5.\nAnswer: 3224230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 118.04 + -120. Let i = 0.04 - u. What is the second biggest value in 1\/6, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -15 in decreasing order.\nAnswer: 2, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b + 1. Let l(j) = 5*j - 1. Let s(x) = l(x) + 4*o(x). What is the units digit of s(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 511 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*g**2 + 0*g**2 - 5*g**2 to the form b + o*g + h*g**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffsq when four letters picked without replacement from {q: 1, s: 6, i: 9, f: 2}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -126.79 - -127. Let z = v - 0.11. Which is the smallest value?  (a) 0.4  (b) -2  (c) z  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 42 = -c. Let i be ((-96)\/c)\/(-4)*-7. What is the highest common divisor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**2 - 12100*r - 158145 = 0. Calculate r.\nAnswer: -13, 2433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21129 + -9108. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 207*w**2 - 39*w - 27. Let l(c) = 16*c**2 - 3*c - 2. Calculate 27*l(n) - 2*z(n).\nAnswer: 18*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:24 AM and 1:43 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 484\/(-77) - -6 - (-17)\/(5950\/72)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 190 + -192. Put -7, -4, a, -3 in decreasing order.\nAnswer: a, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10023330 (base 4) to base 13.\nAnswer: -7a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ohhddhd. What is prob of sequence hd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2751*v**4 + 11*v**3 + 7291*v**4 - 3745*v**4)*(v - 4*v + v).\nAnswer: -1590*v**5 - 22*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2. Let j(x) = 506*x. Determine i(j(v)).\nAnswer: 512072*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.192 - 2.4893. Let h = q + 2.67. Round h to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**2 - 10*r**3 - 2*r**2 + 16*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (19\/3 + -8)\/(2\/(-6)). Suppose 5*y = -f*o + 2*o + 41, -3*y - 37 = -o. What is the first derivative of 16 + 22*z**4 + o - 16*z**4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -737 + 1089. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.58 - -5.26. Let p = k + 0.86. Let r = p + -9.7000719. Round r to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 550897?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 146461, 292996, 439559, 586150?\n\"Answer: 14*p**2 + 146493*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -86 - -156. What is the lowest common multiple of 6 and v?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -r - 2, 3*z - 2 - 3 = -2*r. Let a = -33 + 32. Let c be (-12)\/8*(-2)\/a. What is the second smallest value in c, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 6*v**2 - 21*v + 13. Let j(s) = 4*s**3 + 16*s**2 - 62*s + 36. Determine 3*j(c) - 8*o(c).\nAnswer: 4*c**3 - 18*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -113*x - 410. Let n(a) = -a**2 + 28*a - 103. What is the least common multiple of b(-6) and n(23)?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 496 and 89280.\nAnswer: 89280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/(u*u**(-10)))\/u)\/u**(1\/6))\/(u**(-1\/13)*u)**(-1\/2) assuming u is positive.\nAnswer: u**(725\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -150251.\nAnswer: 1\/150251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21111, -42229, -63347, -84465, -105583?\n\"Answer: -21118*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*d + 248 = 8*d - 29*d + 73*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1 - 7038*f + 7048*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 271, 543, 815?\nAnswer: 1087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 38030159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -52*h. Let q = 20 - 18. Let o be n(q). Let p = 475 + o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u + 1. Let k be v(-1). Suppose -k*c - 15 = -7*c. Sort c, 1, -1.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes after 10:04 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - 43 + 107. Suppose -6 = -22*w + h. Put 16, 0, w in decreasing order.\nAnswer: 16, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -289, -4, 1, -2 in decreasing order.\nAnswer: 1, -2, -4, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -167886901 and 0?\nAnswer: 167886901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 43\/44 - 8\/11. Let t = -7 - -3. Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j + 10. Let u be r(5). Suppose g + u*g = -2*g. Solve h - 2 = -g*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/32*4*44\/((-88)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3264 is divided by 70?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*p + 0*p + 3*p)*(-p + 2*p + p) - 5*p - 13386*p**2 + 3*p + 13365*p**2 - 1 to the form g*p + d*p**2 + x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6\/5 + 28\/15. Let k = -2.6 - -3. Let d be 2\/(-6) + 7\/12. Sort k, j, d in descending order.\nAnswer: j, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((3\/(-342))\/((-6)\/(-48)))\/(4\/6).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}