diff --git "a/data/dm_maths/full_data/11109_11255.jsonl" "b/data/dm_maths/full_data/11109_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11109_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose -29*g - 52*g = 60*g - 94916829. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1575466387 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 9*x**2 - x - 5. Let f be q(-9). Suppose 4*m + 4*u = 1048, -5*m + f*u = -0*m - 1337. Let c = m - 12. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-2 - -1) + 1. Let k(u) = -5 - 2*u + q - 2*u. Is 2 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/7 and 73\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6568859, 6568873, 6568887, 6568895, 6568891, 6568869, 6568823?\nAnswer: 6568747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 7*x**2 - 7*x - 8. Let u be v(-6). Suppose 2*a + 3*z = -7, 3*z - 5*z = -2*a + 18. Let n be ((a - 1) + -1)\/2. Is u at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367 + 78 = 5*o. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*n - 3*h - 5, 6 = 3*h. Suppose -6*d + 8*d = 6. Suppose 0 = n*j - d*j - 10. Calculate the least common multiple of 12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17485 and 634738?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 + 5*n**4\/24 + n**3 - 12*n**2. Let t be w(-4). Sort -3, 6, t, 1 in decreasing order.\nAnswer: 6, t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0002 - -6419\nAnswer: 6418.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 36 = 4*x - h, -4*x + 11 = h. Suppose x*p + 8*j - 32 = 4*j, -3*p + 20 = 2*j. Let c(d) = -3*d + 1. Let y(q) = -q**2 - 2*q + 1. Give p*y(l) - 3*c(l).\nAnswer: -4*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363879 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -199*h**4 + 6*h**3 - 177*h + 6. Let b(k) = k**4 + k**3 + 3*k + 1. Let q(n) = 6*b(n) - c(n). Find the second derivative of q(x) wrt x.\nAnswer: 2460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54669 - 192?\nAnswer: 54477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 147433679105074 + -147433606493764.000029. Let w = z + -72611342. Let x = w + 32. What is x rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 5:27 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3357597584 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*i - 0*b - 8, 0 = 2*i - 4*b - 4. Let n(o) = o**3 + 4*o**2 - 1. Suppose -g - 16 = 3*g. Let a be n(g). Put a, i, -3 in descending order.\nAnswer: i, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvz when three letters picked without replacement from {a: 3, v: 2, z: 9, u: 4}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2166191.66 to the nearest one thousand.\nAnswer: -2166000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3. Let j(h) = -37*h**3 - 68*h**2 + 8*h. Let u(t) = j(t) - r(t). Let u(s) = 0. Calculate s.\nAnswer: -2, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**2\/2 + 19*o + 1. Let t be n(-6). Let p = 16 - t. Solve -p*s - 25 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3397265737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 0*w**2 + 7 + 25\/2*w**4 - 15*w + 0*w**3. Let y(v) = 7*v**3 - 2. Determine 2*g(u) - 15*y(u).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 5*l**2 + 30*l - 20. Let p be y(-10). Which is smaller: 177 or p?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5446274 and 1003694?\nAnswer: 332222714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/35 - 24\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllpllppllpllllpl. What is prob of sequence ppl?\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36 - -36) + 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 4*n - 2. Let f(i) = -3*i + 2. Let s(j) = -3*f(j) - 2*p(j). Let l(v) = -2*v**2 - 9*v + 24. Let t be l(-6). Calculate s(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/4 + 80181*q**2 + 160363*q = 0 for q.\nAnswer: -2, 0, 320726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 + (-15)\/4. Which is the third biggest value? (a) -3 (b) m (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12179389\/78 - 156167. Let c = -125\/6 - d. Let z = 106.6 + -106.67. Sort z, c, -3 in descending order.\nAnswer: c, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 + 10 = 0. Let w(u) = -5*u**2 + 8*u + 4. Let m(l) = 14*l**2 - 23*l - 11. Let y(d) = -6*m(d) - 17*w(d). Is y(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*z - 4*v, 0 = z - 4*v + 2 + 12. What is the first derivative of -z*x**2 - 2 + 0 - 1 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 460, 485, 508, 529?\n\"Answer: -d**2 + 28*d + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c = 52*c - 46 + 182 - 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 81.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/377? (a) 0 (b) 1\/3 (c) 3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 - 50 + 50 - 2*j)*(-4*j**2 - 2*j**2 + 5*j**2)*(-2 + 4 - 3).\nAnswer: -j**4 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 489388.8 weeks in milliseconds?\nAnswer: 295982346240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2035063*n**5 + 695292*n**2.\nAnswer: 122103780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s - 4. Let m be g(-3). Let r(w) = -w**3 + 3*w**2 + w + 3. Let p be r(4). Let u be (-3 + m)\/((-3)\/p). Is -3 != u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -56. What is the smallest common multiple of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 379 divided by -35555?\nAnswer: -379\/35555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1540779 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*p - 102 = 0, 5*u - 63 - 105 = 3*p. Let w be (-9)\/(324\/(-8)) + u\/(-270). Is -1 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-93 - (32 - 45 - 9)) + -21\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -159*k + k**4 + 205*k + 2 + 30 wrt k.\nAnswer: 4*k**3 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29810, 59619, 89428, 119237, 149046, 178855?\nAnswer: 208664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 6. Let j(z) = 1. Let r be (-3)\/5 - 135\/25. What is r*j(u) + l(u)?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854238?\nAnswer: 2, 3, 642373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -321 - -320. Which is the closest to -5? (a) u (b) 3 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*p + 8 - 4 = 0, 4*x - 4*p + 32 = 0. Let g(a) be the first derivative of -a - 101. Let s(v) = -v**2 + 10*v - 4. What is x*g(o) + s(o)?\nAnswer: -o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*h**4 - 9*h**4 - 123 + 52*h**4 wrt h.\nAnswer: 400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27958417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:17 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2519284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**4 + 164924 + 2*v**2 + 7*v + v**3 + 2*v**3 - 164923 + 85*v - 3*v**4 in the form y*v**3 + d*v + i*v**2 + x*v**4 + g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1895\/5367 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a - 6. Let c be p(5). Suppose c = -j - j. Calculate the lowest common multiple of 6 and -9*(j + 3\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443064 is divided by 36541.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.17385 and 45.\nAnswer: 45.17385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7500 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 382*v**2 + 206*v?\nAnswer: 764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 10:02 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**5\/60 - k**4\/6 + k**3\/2 - 7*k**2. Determine a(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -2537, -8382, -19665, -38174, -65697, -104022?\nAnswer: -154937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 3, n: 3}. What is prob of picking 1 n and 1 q?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-46)\/(-2)*1\/1. Solve s = -3*b - 5*i, 0 = -i - i - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11042221 (base 5) to base 4.\nAnswer: -113210301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145726 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412367, 412368, 412369, 412370, 412371, 412372?\nAnswer: 412373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrarrrrarra. Give prob of picking 2 a and 2 r.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 254 = -20. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21073796 a multiple of 742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 1 = -5. Suppose y*h - 112 - 112 = 0. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 5*g - 60 = 0, -5*h + 150 = -g. Let v = 14 - 11. Let t = 47 - 44. Solve -5*j + h = k, -t*j = -2*j + v*k - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/9 or -19.732?\nAnswer: -19.732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1. Let f(n) = 2*n**3 - 2*n**2 + 2*n - 2. Let v = -6 - -4. Let l be ((-10)\/(-25))\/(v\/10). Let z be 1 + 2 + l + 0. Determine z*f(u) - 2*m(u).\nAnswer: 2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73852 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let x(h) = 8*h**2. Let z be (16 + -15)\/((-2)\/68). Let w = 28 + z. Determine w*n(q) + x(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67343, 5, -9, 1 in ascending order.\nAnswer: -67343, -9, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncgxcxxnajaa. What is prob of sequence aj?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 117, -73, 0 in descending order.\nAnswer: 117, 3, 0, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/11 in 2\/7, -2\/7, -1034069?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -14. Suppose -2*h + 14 = -u, 2*h - 5*u - 25 = h. Suppose -2*s = -x - 6, s + h*x = x - 6. Solve -3*n - s = t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 19. Let t be (-2 + 12)*(-4)\/(-10). Suppose 2*k - 32 = t*c, -3*k + 2*k + 3*c + 19 = l. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -56, -113, -276, -599, -1136?\n\"Answer: -9*j**3 + j**2 + 3*j - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 24 = -3*n. Is -10 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2686 = 4*p + 2*m - 1852, -m - 2271 = -2*p. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -39520180915.\nAnswer: 39520180914.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 192*n - 51 = -185*n + 382*n - 11, 0 = 15*k - 3*n - 180 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w)\/(w*w**(-5\/7)*w))\/(w**4*w*w*w**(1\/23)*w*w) assuming w is positive.\nAnswer: w**(-7027\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2211*r**2 - 4943. Let t(f) = -6635*f**2 + 14837. Let d(l) = -13*c(l) - 4*t(l). What is the derivative of d(w) wrt w?\nAnswer: -4406*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 7 = 8*m, 20*n + 13 = 5*m + 21*n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**3\/6 + 13500000*c**2 - 21*c. Let t be f(0). What is t rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0, 256213 in ascending order.\nAnswer: -1, 0, 2, 256213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a - 1. What is p(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*f - f - 9*z, -5*f + 30 = -5*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175264\/5 + -35349. Let k = -295 - x. Let v = -13.7 - -14. What is the smallest value in -3, k, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2976 by 62.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 39*z + 686. What is h(-18)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.2, 0.2, 1.5, 0.111?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 8. Let r be o(-11). Sort -4, 0, r.\nAnswer: -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -83*p - 1665. Give v(-19).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.03794*-0.1688\nAnswer: -0.006404272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 17*g. Let i = 12 - -6. Let l(r) = 12 + 3 + 6 - i. Let p(t) = -t**2 - 7. Let f(a) = 7*l(a) + 3*p(a). Determine f(u(x)).\nAnswer: -867*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 0.6. Let x = -519 + 514. Which is the fourth biggest value? (a) x (b) -0.2 (c) p (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b - 22. Let k be m(-3). Suppose -354 = -k*u - 4*o, -u + 4*u - 4*o = 206. What is the highest common factor of 28 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26559.4293 rounded to the nearest ten?\nAnswer: 26560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25687609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -19*k + 5. Let o be w(5). Let m be 4\/3*o\/(-12). Solve 0 = -4*d + x, 0 = 3*d + x + m - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -514.4 and 0.029263?\nAnswer: 514.429263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 83.9 and -92577 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/18 and -13\/65249.\nAnswer: 1174482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -329.2278 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)\/(d*d**8)*(d**(-2\/5))**(3\/2)*(d**(-4\/9)\/(d\/d**(-2\/13)))\/(d*d*d\/(d\/d**(2\/13))*(d*(d\/(d\/(d**1*d)))\/d)\/d) assuming d is positive.\nAnswer: d**(-10151\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -144 - -5?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 40*d**2 - 68*d + 32.\nAnswer: -4*(d - 8)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 747, 3123, 7077, 12603, 19695, 28347, 38553?\n\"Answer: -i**3 + 795*i**2 - 2*i - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490312332?\nAnswer: 2, 3, 4539929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 10*k**2 + 10*k + 13. Suppose 0*b - 27 = -3*b. Let c be r(b). Let i = c + -15. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 0*s**3 - 2\/5*s**5 - 7*s + 1\/3*s**4 + 0*s**2. Find the third derivative of b(q) wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 11123?\nAnswer: 11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -12. Let x(t) = -t**2 + 2. Determine x(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) - (0 + (-5)\/15). Suppose -f = 4, 12 = -v*g - 2*g - 4*f. Let o(p) = g*p + p - 5*p. Let j(q) = -31*q. What is j(o(i))?\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147862 and 155194?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -4. Suppose -o = q + 3, 9 - 2 = -3*o - 4*q. Let y(r) = r + 6. Let u be y(o). Solve -4*f - 2*v + 6 = 0, t*v + 11 + u = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187114.\nAnswer: 2, 93557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 379 = -324*b. Are b and 3\/740 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 w, and 1 i when four letters picked without replacement from {c: 2, w: 1, i: 2, u: 2, p: 3, x: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -6. Let i = -2.3 - -0.3. Let j = i + -2. Which is the smallest value? (a) j (b) 0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {e: 1, k: 3, w: 1, t: 2, a: 11}.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p + 105*p**2 - 29*p - 102*p**2 + 56*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 237*s**2 - 4*s - 1. Let r be m(2). Suppose 5*h - 2576 = r. Suppose 0 = 9*d - 620 - h. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151\/70 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2287056 and 29667.\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -65301 (base 7) in base 13?\nAnswer: -7536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.8 + 0.2. Let c = -139.401 - -139. Let m = -0.001 - c. What is the nearest to -1\/2 in m, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - f**3 - 2 + (3*f**2 + 0*f**2 - f**2)*(-f + f - f) - f**2 + f**3 + f**2 - 5*f**3 + 0*f**3 + 4*f**3 + (-f**2 + 0 + 0)*(-f + 2*f + 2*f).\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.362 * 60.8.\nAnswer: 82.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9094 is divided by 6043.\nAnswer: 3051","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + s + 1623 = -0*s, -2*s + 541 = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -24. Let s be (5 - 1)*(45\/a)\/9. Suppose 6*d + s*d - 40 = 0. Solve 15 = d*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7214013, 7214016, 7214021, 7214028, 7214037, 7214048?\nAnswer: 7214061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -942*b + 2674. Is 20 a factor of j(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + 2*q - 2*q + (-6*q - 4*q + 2*q)*(-q + 3*q - 4*q) + (29*q**2 + 3*q**2 + 2*q**2)*(-5 - 3 + 4).\nAnswer: -121*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -4\/3*m**3 + 0*m + 0 + 5\/24*m**4 + 3*m**2 + 1\/30*m**5. Is j(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60828537 and 135355?\nAnswer: 304142685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 4*q - 5*q)*(4*q**4 + 0*q**4 - 5*q**4).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.30029 micrometers to meters.\nAnswer: 0.00001930029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -112 + 171. Suppose -90 = -s*g + 54*g. Let j = -31 - -38. Calculate the remainder when g is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071284613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19689870 + 27675870. What is n rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-4256)*728)\/(-2 + 7\/10 + 1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 1672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 26 - 14 = 0. Suppose -x + q + 27 = 0. Let u be x\/(-42)*(-8)\/15. Does u = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185.\nAnswer: 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 29*s**5\/15 + s**4\/24 - 77*s**3\/3 + 29*s**2. Find the first derivative of r(g) wrt g.\nAnswer: 232*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 - 2*a. Let q(n) be the third derivative of -n**5\/15 + 36*n**2. Calculate q(t(k)).\nAnswer: -4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -541b + -3?\nAnswer: -5421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/n*n)**(-37)*n*n**1*n*n*n**(-3) assuming n is positive.\nAnswer: n**(-33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 2*u. Let m = 2152 - 2148. Let i(q) be the second derivative of q**3\/2 + 8*q. Calculate m*i(p) + 6*t(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -2*v**5\/55 - 3*v**4\/11 - 26*v**3\/33 - 12*v**2\/11 - 8*v\/11 - 3. Factor k(m).\nAnswer: -2*(m + 1)**2*(m + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -62.\nAnswer: 15\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3062747 (b) -0.01 (c) 0.5 (d) 0.1 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2*b)*(4*b - 2*b + 4*b) + 2*b - 7*b**2 - 2*b)*(3*b**3 - 5*b**3 + 0*b**3)*(-3 + 2 + 3).\nAnswer: 76*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 6*a + 7*a + 1 + 6*a. Let r(t) = -6*t + 3. Let l(i) = -r(i) + 3*s(i). Let h(w) be the third derivative of w**5\/60 + w**2. What is l(h(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:06 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -5*h - 5*k, 281559*h + k + 6 = 281561*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406\/152 + 8 + ((-12)\/18)\/((-4)\/(-66))?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 1. Let q be -12*(-1)\/(1 + -1 + 2). Calculate h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 611*b*f**5 - 3*b*f**2*o + 354*b*f**2 - b*f*o + 1787*b*f + 49038*f**5*o wrt f?\nAnswer: 36660*b*f**2 + 2942280*f**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 45*v**2 + 91*v + 3. Let n(q) = 136*q**2 + 258*q + 8. Give -17*j(u) + 6*n(u).\nAnswer: 51*u**2 + u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**3 - 4*f**2 + f - 20. Let h(v) = 6*v**3 + 4*v**2 - v + 19. Let a(d) = -3*h(d) - 2*y(d). What is the second derivative of a(j) wrt j?\nAnswer: -60*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1832, -2 in decreasing order.\nAnswer: 1832, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 4*u - 2 = 3*i, -4*i + 16 = 4*u. Suppose 4*z = 8, -5*b + 4*z + 0*z = -22. Calculate the remainder when 2 + (-9)\/b*-4 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32501304 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -35837, -35845, -35853, -35861?\n\"Answer: -8*z - 35829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 280*r**2 + 800*r + 25895. Give h(97).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12134 - 2401?\nAnswer: -20040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77971401 divided by -4586553.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 15) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = 4*i. Let j be (-2 - (-68)\/16)*i. Suppose -8 = -f - n + 2*n, 3*n = -f - 12. Solve 0 = -f*u - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 6:52 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 30 = -5*m, r - 4*r + 5*m = 0. Solve 10 = -r*c - 0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2*o, 0 = -3*n - n - 2*o + 14. Let j = -25 + 29. Let u = j + 1. Solve n*d - 14 = u*q, -19 = 3*q - 5*d - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 1685*g - 5137. Give c(-3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5 + 2*a**4 + 17*a**3 + 2*a**2 - 52*a - 40 = 0?\nAnswer: -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2706*z - 184010. Calculate j(68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5228?\nAnswer: 2, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 244*z - 886*z - 1013*z + 74. Is d(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -607.1 rounded to the nearest ten?\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -17395 (base 16) in base 10?\nAnswer: -95125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6445 by -20263.\nAnswer: 6445\/20263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 7. Let d be k(-3). Let w be (24\/d)\/(20\/(-50)). Let v(a) = 7*a - 2. Let s(x) = -15*x + 4. Give w*s(o) + 13*v(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -113111133010 (base 4) to base 6\nAnswer: -335040524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134\/35 + 838\/175. Let q = -1836521\/60 - -30608. What is the common denominator of y and q?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h + 7. Let o be ((-4)\/4)\/((-1)\/(-6)). Let p be g(o). What is the greatest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3593 and 23\/11.\nAnswer: 39523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 158 in 0, -0.8, -0.6, 1.68, 0.5?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -10*t**2 - 4*t + 2. Let m(j) = j**2 + j - 1. Let w(h) = -a(h) - 2*m(h). Let l be w(2). Calculate the greatest common divisor of 90 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3752189.\nAnswer: 7, 17, 31531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 5222936*d + 1704941278756.\nAnswer: 4*(d - 652867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 1a9?\nAnswer: -1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1351 + 2102. Suppose 4*m = 425 + w. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22044)\/(-1837) - (-1 - 0 - 2). Solve 23*r - 3*c - h = 22*r, -8 = 2*c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 1137 = 4*f. Let g = f - -64. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b - 8 = -3*z, -4*z = -2*b - 4. Let m = b - -6. Solve 4*a = -m*f - 16, 0*a - 16 = 3*f + 5*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9053*r - 4019*r + 3364*r - 475692 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -763394.\nAnswer: -89\/763394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**5 - 30*m**4 - 2684*m**3 - 7728*m**2 = 0. What is m?\nAnswer: -28, -3, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 51 = -y + 2*w, 5*w = -5*y + 130. Differentiate -29*i + 29*i - 55*i**3 + y + 21*i**3 with respect to i.\nAnswer: -102*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1092 - -1802. Suppose -r = -0*d - 5*d - 2*s, -3*d + s + 437 = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 840195 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**4 + z**3 - 1369*z**2 - 395676*z?\nAnswer: -36*z**2 + 6*z - 2738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6484 divided by 2?\nAnswer: -3242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78993, -158060, -237127, -316194, -395261, -474328?\nAnswer: -553395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*9.11\nAnswer: -1.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 15. Let j(p) = -p**3 - 4*p**2 + 5*p + 4. Let o be j(-5). Is g + o - (-1 + -64) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 5*t**2 - 4*t - 7. Let r be h(-5). Suppose o - 76 = -o. Suppose 5*j = o - 13. Solve -q + j*v = -r, 4 = 2*q - 3*v - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -16, -18, -20, -22, -24?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 2*q**2 + 0 - 2\/27*q**4 + 1\/18*q**5 + 0*q - 4\/27*q**3 + 1\/60*q**6. Determine l so that h(l) = 0.\nAnswer: -2, -1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2, -1, -2\/75, 73?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -382 + 383.73. Let a = o - 11.73. What is the third smallest value in 2, -3, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 2*b**2 + 4. What is x(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 9*k - 15. Let r be l(6). Let p be (r - 0) + (-11)\/3. Let c = -4 + 0. What is the third smallest value in c, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*x + 5*b, -b + 68 = 5*x + 11. Factor -25*o - 5*o**2 - 2*o - 36*o + 91*o + x.\nAnswer: -(o - 6)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y**3\/y))*y\/y**4)\/((y**(-1\/3)\/y)\/((y\/(y\/(y**(-1\/12)*y*y)))\/y))*((y*y*y\/((y**(-2)*y)\/y))**6)**(3\/4) assuming y is positive.\nAnswer: y**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28883, -29078, -29283, -29504, -29747?\nAnswer: -30018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(2*sqrt(567)))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -a**6\/60 + a**5\/10 - a**4\/8 + a**3\/2 - 266*a**2. Give h(4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 746822 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-15)\/540*6*-7*2?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 6*i - 3*i**2)*(-5 + 1 + 2) + 0*i**2 - 6*i**2 + 7*i**2.\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (13 - 9) - (75 + -24) - 4.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/2 - 485\/10)\/((-19765)\/15812). Find c, given that -1\/2*c**2 + 19*c + j = 0.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4 + 13. Let m(l) be the first derivative of -1 + 1\/2*l + 3\/8*l**2 + 1\/12*l**t. Factor m(v).\nAnswer: (v + 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10)\/((-8)\/40) - 2. Let y = -10.3 - 71.7. Let g = -81.7 - y. What is the third smallest value in -5, j, -2, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 151 = 2*v, 3*p - 59 = -2*v + 72. Let c = -28 + p. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 4*j - 2. Let r be f(-5). Let l = r - 8. Let n be 3*1 + (l - -7). Solve -4*y + 5*q + 6 = -14, n*q + 20 = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-24)\/(-21))\/((-3)\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j**2 + 2*j + 67. Let i(u) = 9*u**2 - 3*u - 134. Let s(c) = -2*i(c) - 5*o(c). Is s(-9) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - ((-4 - 2) + (16 - (-11 + 9)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2. Let d = -69 + 71. Let s(z) = 66*z**2 + 55*z**d - 133*z**2. Calculate s(g(j)).\nAnswer: -48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - r - 21, -3*r = 2*c - 21. Let u = 12 + -5. Is u < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -18166?\nAnswer: 1\/9083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7*z - 4*z**2 - 10*z**2 + 8*z**2 - z**3. Let s be j(-5). Suppose -s*m = -18 - 12. Solve m*c = 2*n - c - 2, -n - 1 = -4*c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620758 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74843 divided by 8.\nAnswer: -74843\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 + 58*y + 32. Determine x(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152579300 to the power of 1\/3, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1973 is divided by 93?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3)\/z)\/z**(-4))**(-1\/8) assuming z is positive.\nAnswer: z**(-11\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 10 = 5*o, 0 = 1013*h - 1017*h + 3*o + 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 - 7847*q\/3.\nAnswer: q*(q - 7847)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + 25. Let g be -1 + 1\/1 + 6. Calculate the greatest common divisor of g and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/12 + b**3\/6 - 11*b**2\/2 + 147*b. Let t(s) be the second derivative of y(s). Let n(d) = 35*d**2. Determine n(t(z)).\nAnswer: 3500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121131 + 102001000?\nAnswer: 102122131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 947611361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5761928773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2479427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = 2*a + 2, 0 = -5*l + 4*a + 34. Suppose l*h = -3*m + 2*h + 8239, 0 = -4*h - 8. Let u = m + -1458. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*p + 29*p + 3*p)*(-14*p + 8*p - 16*p)*(p + 4*p - 3*p) in the form f*p**3 + t*p + m*p**2 + q and give f.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(15)\/sqrt(5)*-2 + (4 + sqrt(18)\/sqrt(6) + -4)**2.\nAnswer: 3 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 4. Let j(o) = -12*o + 40. Let v(i) = -j(i) - 10*m(i). Let w(a) = 66*a - 3. Determine v(w(x)).\nAnswer: 132*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10*q - 53. Suppose 2*j - n - 3 = 0, 7 = j + 3*j - 3*n. Let k(r) = r - 3. Let u(t) = j*k(t) - l(t). Differentiate u(m) wrt m.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 12. Suppose 2*r - 506 = -4*d, h = -3*d + 2*r + r + 384. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(19*g**4 - 16*g**4 - 5*g**5 + 4*g**5).\nAnswer: 2*g**5 - 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 4*l**2 + 6*l + 1. Let i be g(2). Solve 5*o = -4*k + 25, -i*o - 7*k + 2*k = -30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 + 2*h**3 - 5*h**2\/2 + 19*h + 1472. Calculate k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmi when three letters picked without replacement from bbtcbitcbttoim.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + -0.6. Let p = 0.19 + y. Let t = p + -1.99. Sort t, 2\/5, -0.1 in ascending order.\nAnswer: t, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3401 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -2*n - 12, 0 = -h + 4*h - 3*n - 9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12681540.\nAnswer: 2, 3, 5, 47, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 21 + 61 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v - 5. Let a be p(0). Let f(y) = y**3 - 4*y**2 + 2*y + 2. Let g be f(3). Sort g, a, -2.\nAnswer: a, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8142 and -0.2?\nAnswer: 8142.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 r when four letters picked without replacement from bobrbobbpbrpobb.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/11? (a) -0.091 (b) 1 (c) 29 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 12*a - 10*a + 83 = 0, 0 = 5*a. Let c = k - 68. Solve -5*q + 16 = -2*v, 3*v + c = -2*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506713500 rounded to the nearest one million?\nAnswer: -507000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(16\/8)\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {q: 5, l: 2, p: 6}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/9)*z)**(-8\/9)\/(z**(-8)\/((((z**(2\/3)*z)\/z)\/z)\/z))*(z**(1\/11)\/(z**(-2\/15)*z*z))\/((z*z**(-3\/4))\/(z*(z*z*z*z**(-5))\/z)) assuming z is positive.\nAnswer: z**(34741\/17820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:47 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 112866561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/((-2)\/(-16)). Suppose -4*c - m = -2*c. Let k(g) = -g - 5. Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 1412*n**2\/15 + 2306*n\/15 - 1036\/15 = 0?\nAnswer: -2, 259\/706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, t: 10}. Give prob of picking 1 d and 3 t.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17332, 17352, 17370, 17386, 17400?\n\"Answer: -c**2 + 23*c + 17310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(832) + -1 - sqrt(832) - sqrt(13)))*-5)**2.\nAnswer: 100*sqrt(13) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1107*g - 2486*g - 1132*g = 1185*g - 295500 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 81123421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 139 = 5*b, 0 = -4*b + c + 255 - 148. Let d(g) = -4*g + 81. What is d(b)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -304 + 109. Let h = i + 499. Is h a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a hour in minutes?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 + 3*t**2 + 7 - 4 + 79*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d + 9. Let h be m(0). Determine y, given that h*y**2 - 1642 + 442 - 4*y**2 - 120*y - 8*y**2 = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 34, 4, -0.2, -9\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 191, 175, 163, 161, 175, 211?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 363572?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4 - 57290*h**2 - 344655*h?\nAnswer: 12*h**2 - 114580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.31 times -1605\nAnswer: 497.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 238 = 35*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233442 - -13?\nAnswer: -233424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9622 + 9587.568. Round c to 1 decimal place.\nAnswer: -34.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55298669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*d + 30*d + 9*d as s + v*d and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -27. Solve 6*j - 10*j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29556 - 29554. Solve 10 = -o + 5*w, w + 1 + 6 = v*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 6*s + s)*(-2 - 5 + 0).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31069130 and 15?\nAnswer: 93207390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q - 222. Let k be t(14). What is the greatest common divisor of k and 708?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 3:20 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11225834101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 14, 17, 16, 11, 2, -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -44. What is the nearest to -10 in 5, -1, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from {u: 1, l: 4, y: 6}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -448 - 965*w**3 + 1931*w**3 - 967*w**3 to n*w**2 + j + f*w + t*w**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/1056*1034)\/((9\/3)\/(-3)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 - 2. Let n = 0.028 + 0.028. Let f = 0.944 + n. What is the third smallest value in -5, -2, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-48)\/120)\/(2\/10). Let f(j) = -111*j + 1. Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1133, 2137, 3025, 3797, 4453?\n\"Answer: -58*y**2 + 1178*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 2*m + 2. Let k(a) = 11*a + 24. Let h(j) = -7*j - 15. Let r(q) = -8*h(q) - 5*k(q). Suppose -2 = -2*x - 0. Give x*t(o) - 2*r(o).\nAnswer: o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 45*u - 9*u + 44*u + 31*u + 34*u. Let l(x) = 9*x**2 - 5*x - 5. Let s(f) = 14*f**2 - 8*f - 8. Let n(b) = -8*l(b) + 5*s(b). Determine i(n(w)).\nAnswer: -290*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3711*h - 31365 = 21477 + 13956 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*t**3)*(-4 + 1 + 2)*(83*t**2 - 16*t**2 + 8*t**2).\nAnswer: 150*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -419 - -418. Do c and -823 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 5*g**2 + 3*g - 39. Determine x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 39287114.7 to the nearest 10000.\nAnswer: 39290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -113*w**2 + 29*w**2 + 47*w**2 to the form b + k*w + p*w**2 and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*d - 270. Let g = d + 47. Let p = g + 74. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14105, 28024, 41755, 55292, 68629, 81760, 94679, 107380?\nAnswer: 119857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158775070?\nAnswer: 2, 5, 17, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*z**2 - 183*z**2 - 59*z**2.\nAnswer: -411*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8*m)\/m)**(-4\/15) assuming m is positive.\nAnswer: m**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1769, 7070, 15905, 28274, 44177, 63614?\nAnswer: 86585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(7920) - sqrt(7920)) + sqrt(7920))\/((sqrt(405) + sqrt(45))\/sqrt(9)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -4)\/((-3)\/(-9)). Let r be 1\/(0 + (-3)\/n). Suppose -4*a + 80 = 3*g, 0 = r*a - 2*g - 63 - 14. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let j(g) = 10*g. Calculate q(j(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(-29))\/(191\/(-573)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -198, 152\/101 in ascending order.\nAnswer: -198, -2, 152\/101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -2400?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/3))\/s*s)**(1\/70)*(s**0)**(4\/11))\/((s\/(s*s**3))\/s**4)**(-33) assuming s is positive.\nAnswer: s**(-24254\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210554103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (546\/4)\/(18\/(-120)*-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 3:06 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, x: 1, z: 4, w: 6, o: 1}. Give prob of sequence gwow.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-525)\/50*5\/(-10) - 6\/(-12)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -4445564?\nAnswer: 4445566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47940068263 + 47940069139.00000356. Let p = 876 - i. What is p rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1416*y - 10022 + 126134 for y.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t*(t**21\/t)\/t*((t**(-2)\/t)\/t)**7 assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 60 - 16. Let q be o\/(-77) - 6*9\/(-14). Calculate the remainder when 54 is divided by -3 + 140\/5 + q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2117 (base 8) in base 3?\nAnswer: 1111212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 30, -3 in descending order.\nAnswer: 30, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101 and -451052?\nAnswer: -45556252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71419262 and 4742?\nAnswer: 4742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -138, 4, 13 in increasing order.\nAnswer: -138, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 377513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -58. Let m be (-4)\/j*-2*-10. Let v = m + 5. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13 and -50068533665687.\nAnswer: -50068533665674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 998297 is divided by 26981?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*h**3 + 705*h**2 - 6408*h + 5712.\nAnswer: -3*(h - 68)*(h - 1)*(3*h - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2)*((85 - 0) + 6). Let r = -89 + v. Suppose -r*d + 104 = -84. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -7976?\nAnswer: 7977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o = 0. Suppose o = -5*k + 7*k - 8. What is the remainder when 3 is divided by (3\/(-2) - -2)*k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/2)*k*k\/k**(6\/7))\/((k*k**5*k)\/k**(1\/6)))\/(k**6*k*k*k\/(k\/k**(-10\/3)))**(-8\/7) assuming k is positive.\nAnswer: k**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 14*i**2 + 4*i - 80.\nAnswer: 2*(i - 2)*(i + 4)*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5)*(-4*b + b + b)*(-28*b + 9*b + 12*b) + 11*b**2 + 2 - 16*b**2 + 0 - 3*b**2 - b**2 + 3*b**2.\nAnswer: -20*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -12\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-three thirds of a hour?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -29 (b) 0.4 (c) 51 (d) -9.68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 435.49 - 43.79. Round b to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32268690 to the nearest integer?\nAnswer: 5681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccmccudumcmcu. What is prob of picking 2 m?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*t + 0*t - t)*(2 - 2 - 2*t) + 0*t**2 - t**2 - 4*t**2)*(-t + t**3 + t).\nAnswer: -7*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 11 + 14 - 2*x - 5 as p*x + a*x**2 + u + k*x**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 21507210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -8 + 18 + 3 + 1 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42058197?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -276982 and -278486 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4973 + 12213. Which is bigger: 7241 or n?\nAnswer: 7241","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7866\/(-123) + (-218)\/(-327)*3\/(-41)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.44522 + -1.\nAnswer: -8.44522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*-2*sqrt(35))\/(sqrt(7) - 2*sqrt(21)\/sqrt(3)) - (-6*(sqrt(125) + -2 - sqrt(125))**2 + (sqrt(125) - (sqrt(125) + 2*sqrt(125)))**2 + -1).\nAnswer: -475 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*a**2 - 635*a**2 + 216*a**2 + 213*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.051 + -0.051. Let o = -9 + z. Which is the closest to o? (a) 2 (b) 1\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(2*m**4 + 2*m**4 - 5*m**4) + m**4 - 2*m**4 + 2*m**4 - 15*m**4 - 5*m**4 + 0*m**4 to the form g*m**3 + u*m**4 + q*m + k*m**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 47. Suppose 3*r = -r + q. Calculate the lowest common multiple of 8 and r\/3*(-12)\/(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47817 by 9.\nAnswer: -5313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 118383983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/90 and -67\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135858962, 135858964, 135858966, 135858968, 135858970, 135858972?\nAnswer: 135858974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55b00 (base 15) in base 16?\nAnswer: -4285b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484 - 503 + 390 - 629)*(-73*f**2 - 12*f**3 + 73*f**2)*(f + f**2 - f).\nAnswer: 14712*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuwu?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61716140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40164, 42610, 45054, 47496, 49936, 52374, 54810?\n\"Answer: -r**2 + 2449*r + 37716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -0*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.3, -1\/8, 4, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 31*f - 251. Let v be g(19). Put 3, v, -2 in increasing order.\nAnswer: v, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 48*d. Let b be n(1). Suppose 4*l = -5*z + b, 0 = -5*z - 0*l - 3*l + 51. What is the lowest common multiple of z and 4\/(-10) - 92\/(-5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000110101 (base 2) to base 16.\nAnswer: -1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 - 38 = -5*d, 4*i = 3*d + 7. Let a = 11 - 202. Let y = a - -205. What is the greatest common divisor of i and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 3*x - 4. Let j be k(3). Let y = j + 9. Let a be 56\/182 - (132354\/(-117))\/9. Calculate the greatest common factor of y and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30444 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/4)\/((-4)\/16). Let c be n\/(-6) + 1\/(-2). Let o(u) = -2*u - c - u + 0*u. Calculate o(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 21 + (-39 - 72) + (3 - 4 - -10)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0 + 0 + 4*u - 17*u. Let h(k) be the third derivative of -k**4\/24 - 14*k**2 - 6. Calculate h(c(g)).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*g + 9 + 12 = 0, -3*g - 19 = 2*z. Let k(w) = w**2 - w + 3. Let l be k(0). Suppose 0 = -y - y + 4. Sort z, y, l.\nAnswer: z, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -0 + 3. Suppose u*z = 4*z. Which is the third smallest value? (a) -2\/11 (b) z (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20853 + 32176. Suppose 4*t + 16837 = 5*b - 11528, m = 2*b + 3*t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:57 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2139, 3058, 3975, 4890?\n\"Answer: -i**2 + 922*i + 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*h + 2)*(h + 0*h + 0*h)*(-2 + 4 - 4)*(6 - 20 + 12) to t*h**2 + i*h + m and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1342\/19 in -1, -8\/5, 2\/5, 4, -2\/3?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -0.5, 0.1, 575, -2 in increasing order.\nAnswer: -2, -0.5, 0.1, 4\/9, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 17 = -2*d, 5*d = 3*z - 12 + 82. Solve 3*q + d = -5*v, -4*q = -2*v + v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g + g - 3*g**2 - g - 1 + (4 - 7 + 1)*(-22*g**2 - 20*g**2 + 8*g**2) in the form l + b*g + a*g**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:51 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49267736 - 49267735 + 98535481 + 18*d.\nAnswer: 18*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/9, 329\/2, 6.5, -0.4 in increasing order.\nAnswer: -0.4, -2\/9, 0, 6.5, 329\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -142*a + 145*a - 12 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, 35, -4, -45.\nAnswer: -45, -4, -2, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-2)\/(-3 + 1). Suppose 2\/3*z**b - 8\/9*z**4 - 2\/3*z - 2\/9 + 10\/9*z**2 = 0. What is z?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349260740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22440.5 - -22440. Let z = 1 - 7. Which is the closest to 0? (a) i (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99966678269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b*x**2 + 152*b*x - 119710*b - 28555509*x**2 - 4 wrt x.\nAnswer: -6*b - 57111018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 3*x - 60 = 0, 9*n - x - 46 = 5*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -330440, -1322268, -2975314, -5289578, -8265060, -11901760, -16199678?\n\"Answer: -330609*p**2 - p + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 6*q - 48. Let f be ((-141)\/36 - -4)\/((-9)\/q). Sort 0.2, f, 0.39, -1 in descending order.\nAnswer: 0.39, 0.2, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:12 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 471, 469?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0. Let w = 2 - -1. Let g = -8 + w. Which is the third biggest value? (a) 4 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36887902\/4183675 + 12\/58925. Let p = w - -24131\/1988. Calculate the common denominator of p and 5\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 831 is divided by 809?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -505*s - 3026. Let m be h(-6). What is the highest common divisor of 5260 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 143 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -44.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/10*(-8 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 32360 = 459. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4\/7 - 44130*v**3 + 1544600*v**2\/7 = 0. Calculate v.\nAnswer: -154460, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + 0.3. Let v = l - -0.8. Sort v, 2\/5, -0.7 in descending order.\nAnswer: v, 2\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + (sqrt(275) - -2*sqrt(275)) + sqrt(275) + -4*sqrt(1331)*-1)**2.\nAnswer: 384*sqrt(11) + 45065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -1 - 13\/15*o**5 + 94*o**2 + o**4 + 4\/15*o**6 - 2\/105*o**7 + 0*o + 0*o**3. Factor y(f).\nAnswer: -4*f*(f - 6)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-9 - 3*w + 4 - 4) - 2*w + 4*w - 9*w.\nAnswer: -4*w + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.48 - 0.4. Let y = -0.12 + s. Put y, -4, 5 in decreasing order.\nAnswer: 5, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3741\/17 or -4?\nAnswer: -3741\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 2 - 11 + 13*l)*(-2 - 1 + l + 2) in the form i + m*l + j*l**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12797 and 55772.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert bd04 (base 16) to base 5.\nAnswer: 3022023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-12))\/(-3 + (-33)\/(-44)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) -5 (b) 0.06 (c) 0 (d) 3 (e) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50825207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -54.768144801+79\nAnswer: 24.231855199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1\/11*4)\/(62892\/(-38434))*207\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(2 - (-18)\/(-10)). Let z be 1 + (2 - 0) - (71 + -131 + 7). Calculate the highest common divisor of z and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2044 + -2090. Which is bigger: d or -68?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 79 - 77.45. Let b = -6.55 + y. Let v = -7 + 11. Put -1, v, b in increasing order.\nAnswer: b, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4 + ((-97125)\/(-30))\/5 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + 2. Let m = -38 + n. Let w = 18 + m. Put 0, 2, w in ascending order.\nAnswer: w, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 8*t**2 + 8*t - 6. Let b be l(-9). What is the smallest value in b, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10517 and 149279.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(2\/41)*c*c**(1\/11))\/(c**(2\/31))**(-11))**44 assuming c is positive.\nAnswer: c**(103424\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-850)\/6120*(((-3)\/(-35))\/3)\/((-20)\/(-40))?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 11 + 61. Suppose -5*l = l - o. Suppose 5*z - 250 = 5*b, 3*z + 2*b - 150 = l*b. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237395.\nAnswer: 5, 79, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 13*f - 5. Let w be s(6). Let q = 68 + w. Suppose -2*o - q = -117. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2017304.4 to the nearest one thousand.\nAnswer: 2017000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689*x**2 - 843*x**2 - 835*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4282650211 plus 136?\nAnswer: 142.4282650211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**3 + 1561*g**2 - 46*g + 13637. Give o(-142).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 27. Let h(g) be the second derivative of 0*g**2 + 0 - 2*g - 1\/2*g**6 + 2\/3*g**3 + z*g**4 - 19\/20*g**5. Find l such that h(l) = 0.\nAnswer: -1, -2\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let y(w) = -6*w - 8 + 12 + 3. Calculate 14*o(m) + 2*y(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(1*sqrt(3)))\/(sqrt(576)*2).\nAnswer: sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n + 8*n - 19*n - 28*n.\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 12 = 2*b - 2*d, -4*b + 12 = 4*d. Suppose 0 = -4*h - b + 8. Solve -h*s - s - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x**2. Let w(c) = -553*c**2 + 193*c - 2. What is w(g(b))?\nAnswer: -4977*b**4 - 579*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-63) - 6\/(-9). Let p be 1 + (-6)\/9*-3. Suppose -2*u - p - 1 = 0. Which is the nearest to 0? (a) -0.2 (b) u (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 1, z: 3, t: 2, d: 1, y: 2}. Give prob of picking 1 g and 2 z.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*s + f + 8, -3*s = 5*f - 35 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 48276696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 498620087 to the power of 1\/2, to the nearest integer?\nAnswer: 22330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*t**2 + 146036*f**2*t - 11*f**2 + 2403*f*t - 2*f + 8*t**2 - 311*t wrt f?\nAnswer: -4*t**2 + 292072*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 15 + 16 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*v - 171*v + 1 + 47*v - 5*v**3 + 57*v + v**2 + 44*v as h*v**2 + r + n*v + m*v**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 272683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5282949911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*u + 8*h - 3*h, -16 = -4*h. Suppose -2*a - 25*a**2 + u*a**5 - 9*a**3 + 2*a**5 - 2*a**5 - 4*a + 10*a**2 + 3*a**4 = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/(((-34)\/6)\/(-1))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14059?\nAnswer: 17, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 2. Let l = 63 - 59. Let p(d) = -11. Let o(k) = -5. Let r(t) = l*p(t) - 9*o(t). Calculate -4*r(g) + s(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3902 is divided by 12 - -12 - 1*13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 0.88527.\nAnswer: -2.88527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.991 rounded to two dps?\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + (2 + -15 - (4 + -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -454617, -454619, -454621, -454623?\n\"Answer: -2*s - 454615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 564016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1657*w. Let b be u(-2). Suppose -282*c = 123*c + 95657 + 648328. Let t = b + c. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 121384825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/53517977 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2*(-5346)\/18711?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 5. Let g = 17 + f. Is g\/6 + (-294)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2166195 is divided by 404.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0031 + -580872\nAnswer: -580872.0031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:29 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y + 3 = 0. Suppose -15 = -5*w, -2*c - c - 2*w = -12. Suppose 5*i = c*i + 6. Calculate the least common multiple of i and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -33 (b) 2 (c) -3\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -458 - 258.\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 364 = 16724*o - 16737*o. Let k be (-3)\/21 - (-40)\/(-14). Sort o, 1, k.\nAnswer: o, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347022 is divided by 1449001.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*u + 1 + (4 - 4 + 2*u)*(1 + 2 - 2) + 27721 - 238*u - 27721.\nAnswer: -238*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-105)\/80*22\/3 and -7\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1484 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1*(sqrt(39)\/sqrt(3))**2 + sqrt(1300) + -2*sqrt(1300) + ((sqrt(325)*1 - sqrt(325)) + sqrt(325) + sqrt(325) - 3*sqrt(52))**2.\nAnswer: -10*sqrt(13) + 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002307 rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -3. Suppose -5*g + 5*f + i = 4, -5*f = -g + 16. Let l = 0.1 - 1.1. Which is the biggest value? (a) 3 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 1863383.\nAnswer: -1863380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -961, -1049, -1079, -1027, -869, -581?\n\"Answer: 4*s**3 + 5*s**2 - 131*s - 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38385461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3\/3 + 4*g**2 - 8*g - 3. Let r be k(-9). Which is the smallest value? (a) r (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 10 = 2*c, 4*o - 45 = -o + 4*c for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 15*f**2 - 2. Let r be s(-3). Suppose 0 = b - r - 69. Is b\/3 + 6\/(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102111200220120 + 12?\nAnswer: 102111200220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -10, 2, 4\/17, -9?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3857652 and 24978?\nAnswer: 698235012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -561 + -3?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + 3*y**4 + 10*y**2 + 38*y**2 - 46*y**2 - 47 in the form q*y**2 + z*y**4 + t*y + g*y**3 + u and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {m: 2, g: 2, a: 1, y: 1, k: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 6730476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -19*a**2 + 1. Let j(p) = -1081 - 2*p**2 + 1081. Determine z(j(l)).\nAnswer: -76*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.413 + 1.913. Suppose 6*j - 10*j = 20. Put b, j, 9, -0.1 in increasing order.\nAnswer: j, b, -0.1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 62436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499 = -2*i + 209. Let c = i + 535. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5146252 is divided by 372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 17*v - 5. Let h be r(-8). Let s be 9 - 8\/((-6)\/h). Suppose 504 = s*j - 6*j. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 3, 84 in decreasing order.\nAnswer: 84, 8, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 - 72\/28?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -224?\nAnswer: -5\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -62 times 14406\nAnswer: -893172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*f = 25, 15 = 51*f - 54*f. What is the fourth smallest value in u, -2, -14.2, 1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 0*b**2 - 3*b**2)*(6*b**2 + b**2 - b**2) + 4 - 12*b**4 + 29*b**4 - 15*b**4.\nAnswer: -16*b**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 26?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6377143 millennia?\nAnswer: 7652.5716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/5 - 2)*10. What is the greatest common factor of q and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14323 - -28643\/2. Let o = -5 + 5.3. What is the third biggest value in o, w, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-60)*((-168)\/36 - (-18909)\/(-27)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 649 - 250. What is the highest common divisor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 748 - 748.5. Let g = -3.03 - -2.83. Which is the nearest to 1\/4? (a) -7 (b) z (c) g (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2560 - 4668. Let n be p\/(-22) + (-4)\/(-22). Suppose 3*u - 4*r + r = 270, -n = -u + 3*r. Is 25 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 - -3.27?\nAnswer: -448.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 7171*p**2 - 4049*p**2 - 3127*p**2.\nAnswer: -5*p**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(75\/(-36) + 2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -286, 5, -3, 40, 2, -9 in ascending order.\nAnswer: -286, -9, -3, 2, 4, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((26 - 24) + 0 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 956846 and 39974.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 460\/12 + (-17 - (1472\/(-48) + 11))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31, -301, -1037, -2473, -4843, -8381, -13321?\n\"Answer: -39*a**3 + a**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + n. Suppose -3*g + 2*p = -n*p - 1762800, 3*g + 3*p - 1762815 = 0. Let x = 247602 - g. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9436 - 9442. Which is the second smallest value? (a) -0.5 (b) r (c) 1\/90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*i + 14 = -0*u, -5*i - 6 = -2*u. Let y(t) = t**3 + 25*t**2 + 24*t + 29. What is the remainder when y(-24) is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74019573917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 109963993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17878844747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.9*-127.\nAnswer: 1003.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-21)\/(105\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7 = 5. Let m be (-6 - i) + 6\/2. Solve 2*n = 3*o + 7 + m, -5*o = 4*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6146 - 5*n + 1898 - 1116 - 3303.\nAnswer: -5*n - 8667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -243257.428353 + 243257. Let b = 0.429 + h. Round b to 5 decimal places.\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65038696 and 1788643.\nAnswer: -63250053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:12 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 0. Let i be (-2 + w)*-1*4. Suppose 3*v - 2*d - 41 = 0, v - i*d - 27 = -0*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/40 and -53\/9704?\nAnswer: 48520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4\/9 (b) 4 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 364.38824 * -5\nAnswer: -1821.9412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162825\/26 < 44724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/(-18))\/30*6\/(-12)*4*-2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39\/700 - 34\/175. Suppose 4*g - 216 = 8. Sort 4\/5, o, g in ascending order.\nAnswer: o, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*k + 24*k**3 - 2*k**4 + 52*k**3 + 23*k**3 - 98*k**3 - 2*k**2 to h + z*k**3 + b*k + d*k**2 + m*k**4 and give b.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -100574 (b) -0.12 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-14)*221\/663?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 11:19 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.7 (b) 4\/7 (c) 0.38 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17736 + 951.95664. Let k = 953 - p. What is k rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478164427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 9*f + 10. Suppose 4*i + 58 - 189 = 3*g, 4*i + 5*g = 123. Let p = i - 25. What is b(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260599 (base 10) to base 13.\nAnswer: 91801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3881, -3877, -3871, -3863, -3853, -3841?\n\"Answer: h**2 + h - 3883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385979 or 17\/13?\nAnswer: 385979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 214205387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 2*sqrt(6655))\/(sqrt(11) - sqrt(1584)*3).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + 11*d - 4. Let x(n) = -n + n**2 - 32 + 16 + 17. Let o(p) = 3*a(p) + 12*x(p). Factor o(q).\nAnswer: -3*q*(q - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1368912*s**2*y**3 + 13*s**2*y**2 - 28*s*y**2 + 22 wrt y.\nAnswer: 8213472*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2900728 or 2900727?\nAnswer: 2900727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*g, -523 = -5*p - g + 13. What is the greatest common factor of 360 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 18 + 4 + 10. Let q(v) = 2. Suppose -7 + 35 = 4*w. Determine w*q(z) + 3*c(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 413, 442, 445, 410, 325, 178, -43, -350?\n\"Answer: -2*h**3 - h**2 + 46*h + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 705395 * -2.2.\nAnswer: -1551869","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*o - 29 = 7*o, -g + 3*o + 15 = 0. Suppose s + 5 = -m + 6*s, 5*m + s - 1 = 0. Let y be m\/((12\/g)\/(-4)). Solve -q - 1 + 3 = y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*o + 7. Let g be 2 - (-3 - o - 3). Solve 2*b - 15 = -3*b, g*h - b = -28 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmp when three letters picked without replacement from mpfwntpw.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 11:02 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 7*j**2 + 3*j - 14. Let s be h(-6). Factor 4*y**4 - s*y**2 - 4141*y + 4141*y.\nAnswer: 4*y**2*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47752470 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 - -134 - (4 + -41).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -23540*k + 118364. Determine d(5).\nAnswer: 664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3306664977 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: Let b = 2.02 - 0.02. Let c be (-1)\/(-1 - (-21)\/12). Let i = 32 - 127\/4. What is the smallest value in b, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55524*z - 55454 wrt z.\nAnswer: -55524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327777 is divided by 23412.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1023, -191, 637, 1461?\n\"Answer: -2*d**2 + 838*d - 1859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-8)\/12) + 6. Solve h - j*s = -11, 0 = 3*h - 0*s + 4*s - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/145 (b) 1 (c) -0.5 (d) -13 (e) 72 (f) -3 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -591123, -589895, -588669, -587445?\nAnswer: -586223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2. Let w(j) = -31*j + 16*j - 42*j**2 + 15*j. Calculate w(d(b)).\nAnswer: -168*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 0 + 1\/60*y**4 + 3*y + 0*y**3 + 0*y**2 - 1\/100*y**5. What is x in p(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -32*b - 1\/3*b**3 + 0*b**2 + 0. Let k(d) = 17*d. Calculate k(i(x)).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**5 - 11569*r**3 + 2*r**2 + 5797*r - 31 wrt r.\nAnswer: 20*r**3 - 69414*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 11*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10625795 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11288 (base 10) to base 7\nAnswer: 44624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + (sqrt(33)\/sqrt(3) - sqrt(11)) + sqrt(11))*3 + sqrt(44) + sqrt(1100))**2 - (5 + (-2*sqrt(704))**2).\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.40052.\nAnswer: -1.40052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (2*sqrt(136)*4 + sqrt(136)*2*6)\/((sqrt(8) - sqrt(288) - sqrt(8))*-3) + 5).\nAnswer: -20*sqrt(17)\/9 - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226568 and 2485112?\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 6105*y**4 - 2062655*y**3 - 118839855*y**2 - 418577000*y + 1329112500 = 0. What is y?\nAnswer: -575, -67, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-4))\/6*(-2)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*c + 25. Let s = 29 - c. Suppose -2*q - 24 = -5*q. Calculate the lowest common multiple of s and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/5 - 134*q**2\/5 - 548*q\/5 - 552\/5 = 0.\nAnswer: -2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 27*f. Let s(i) = 27*i**2 - 30*i**2 - 13*i + 13*i. Give s(y(l)).\nAnswer: -2187*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 - 97 = -6*b. Calculate the remainder when 61 is divided by 136\/10 - 39\/b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-1)*10\/(-75)*10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-6)*24\/(-18). Let i be -4 + (8 + c - 0). Solve -5*f = -i*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + g**2 - 5*g**2)*(-27*g - 42 + 42).\nAnswer: 54*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let q(h) = h - 3. Let x(t) = -6*l(t) + 3*q(t). Suppose -u + 2*u = -6. Determine x(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:22 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 10*o - 19. Let k be j(4). What is the third derivative of 113*u**2 + 83*u**5 + 2 - 2 + 47*u**k wrt u?\nAnswer: 7800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**4\/12 - 10*z**3\/3 + 5*z. What is the second derivative of m(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a0bb - 4?\nAnswer: -a0c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 6*l**2 - 2*l + 5. What is m(3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p - 2*p - 4*p)*(-2 - 1 + 1) + 4 - 4 - p)*(0*p + 0*p - p)*(-3 + 1 + 0).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*a - 9. What is the third derivative of -u**2 - 3*u**5 + 4*u**2 + 0*u**2 + 2*u**a wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -109. Let d(x) be the second derivative of -3*x - 4\/7*x**2 + 0 - 4\/21*x**j - 1\/42*x**4. Find u, given that d(u) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6849793443\/24286 - -282047. Let b = 181506643085966303\/145716 - 1245619170766. Let w = n + b. Find the common denominator of -123\/10 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180)\/sqrt(3))\/(sqrt(120)\/sqrt(10) + -2*sqrt(108)).\nAnswer: 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 96 = -5*h. What is the remainder when h is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 4*a + 5*a)*(a - 4*a + 2*a) - 6 - 2 + 2*a**2 + 11 + a to w + u*a + v*a**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -140619630 to the nearest ten thousand.\nAnswer: -140620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*p**2 + 1380*p**2 - 831*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78188 is divided by 39072.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 17*p - 22. Let u be k(18). Let h be (18 + 2)\/u - 29\/(-6). What is the fourth biggest value in -0.16, 0.3, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*u + 306 = -288 + 562, 49 = -4*a - 3*u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 2*a. Suppose g + 1130 = -2*n + 185, -3*n = -5*g + 1437. Let q = 485 + n. Calculate the remainder when q is divided by d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**3 - 5*g**2 - g + 5. Let r(l) = -4*l**3 - 4*l**2 + 4. Suppose -8*p = -15 - 25. Let c(w) = p*r(w) - 4*n(w). Factor c(d).\nAnswer: -4*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100a + 52683?\nAnswer: 51674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**3 - 75*w**2 - 121*w + 93. Determine m(39).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 48*t**2 - 384*t - 14228. Give r(-50).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1432 (base 8) to base 10.\nAnswer: -794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*s**2 + 22*s + 46*s**2 - 22*s + 46*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23588*c**4 - 9*c + 304. Let n(d) = -31451*d**4 + 13*d - 404. Let i(s) = -11*f(s) - 8*n(s). Find the second derivative of i(t) wrt t.\nAnswer: -94320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 656413.7ns?\nAnswer: 0.0006564137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 46240656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Let f = 88.5 - 84.5. Let o = 0 + -0.1. Which is the nearest to o? (a) k (b) f (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cczh when four letters picked without replacement from zhhhzhhzhzzhhchzchh?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c, -3*i - 36 = -5*c. Calculate the remainder when (-9)\/i + 0 + 2107\/28 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -3)*-2*(-21)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**3 + 0*a**2)*(-3 - 4 + 6) + (-2 + 3 + 1)*(a**3 + a**3 + 0*a**3) + 0*a + 0*a + 3*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 18*u - 17. What is z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-113274)\/1305)\/(2\/(-5) + 0) + -5. Calculate the greatest common factor of 954 and m.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -7*c**4\/6 - c**3 + 32*c**2\/3 + 9*c - 3\/2 = 0.\nAnswer: -3, -1, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000633211 rounded to 7 decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 9*f**2 + 228*f + 2283. Give s(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 79900*p**3 + 39*p**2 + 13*p + 13. Let w(i) = 98217075*i**3 + 47940*i**2 + 15980*i + 15980. Give -13*w(u) + 15980*y(u).\nAnswer: -19975*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**4 + 3*u**4 - 3*u**4 + (7*u**2 - 3*u**2 + u**2)*(73*u**2 - 66*u**2 + 60*u**2) to the form d*u**3 + m*u**4 + q*u + v*u**2 + x and give m.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:22 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p)**(-2\/61)*(p*p**10*p)\/((p\/(p*p**(6\/7)))\/p) assuming p is positive.\nAnswer: p**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1332 - 108 = 17*q. What is the greatest common divisor of q and 108?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*v**3 - 118*v**3 + 28*v**3 + 66*v**3.\nAnswer: 35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrrrbrrrrrrr?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nczjttbbbbzz. What is prob of picking 1 j and 1 b?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d*d)**(1\/61)\/(d*d**(-1\/3))**(-4\/11) assuming d is positive.\nAnswer: d**(455\/2013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1261062 divided by -114642\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - -1.4. Which is the third biggest value? (a) x (b) 8\/5 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 1 + 1 + (t**2 - 2*t**2 - t**2)*(-t**2 + 3*t - 3*t) + (0 - 4 + 0)*(t**4 + 5*t**4 - 3*t**4).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1157a (base 13) to base 7\nAnswer: -161301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 199.\nAnswer: 198.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2728678555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79957 by -4.\nAnswer: -79957\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -16751363 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.706 and 0.3.\nAnswer: 0.5118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 337*f*i*r**3 - 342*f*i*r - 84010*f*r**3 + f*r**2 + r**3 - r**2 - 1 wrt i.\nAnswer: 337*f*r**3 - 342*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 * -1.4\nAnswer: -30.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 2*j**2 - 4*j + 3. Let q be v(-3). Suppose u - q*u + 60 = 0. Calculate the remainder when 33 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 13 = -4*j + 2*j, 0 = 5*i - 3*j - 65. Solve -r + 6*m = 11*m + 21, i = 2*r - m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(30)*-5)*-3)\/(4*sqrt(24)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35563660 is divided by 3233052.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g - 28*g + 11*g + (g + 3 - 3)*(3 + 13 - 1) + (2 + 2 - 6)*(2*g + 2 - 2).\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 63 = -3*t, -2*t + 4*t + 4*s + 42 = 0. Let b be -17 - t - -79*1. Do 83 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*n - 0*n, 0 = 2*a - 5*n. Suppose 0*k + 29 = m + 2*k, -4*m - k + 88 = a. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10390904 is divided by 422.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1724*h + 8. Let x(s) = 1754*s + 7. What is 5*a(u) - 6*x(u)?\nAnswer: -1904*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7882, -7892, -7906, -7924, -7946?\n\"Answer: -2*b**2 - 4*b - 7876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 173 divided by -3.\nAnswer: -173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/846*(-3)\/(-2). Let f be (451\/(-66) - -7)*0. Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(7\/3). Let f = 2575 + -2572. Which is the third biggest value? (a) l (b) 1\/5 (c) 5 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50290, 55034, 59778, 64522?\nAnswer: 69266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4960*n**2 - 23*n - 39. Is c(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -314, -388, -462, -536, -610?\n\"Answer: -74*u - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1107350.2990683 - 1107351. Let j = s + 0.701. Round j to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31623, 55812, 80019, 104250, 128511, 152808, 177147?\nAnswer: 201534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.063 to 1 decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*x + 1 - 4*x**2 - 22*x)*(-5 + 5 - x + (0 + 0 + 1)*(-2*x + 2 - 2) - 118 + 118 - 106*x).\nAnswer: 436*x**3 - 109*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22848595?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 302 - 238. Sort o, 0.2, 0.4 in descending order.\nAnswer: o, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/10 + (-26)\/30. Is -0.5 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 16*r**3 + 117*r**2\/2 + 71*r + 28.\nAnswer: (r + 1)**2*(r + 2)*(r + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 + 2 + -1. Suppose 3*i = -v + 15, -5*v - p*i = i - 135. Suppose 4*q - 2 = v. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((117\/(-18))\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10800803.79 nanoseconds to weeks.\nAnswer: 0.000000017858471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**14*y**9\/(y**(2\/19)\/y))\/((y**(2\/9)*y)**(-1\/6)\/(y*(y*y**0)\/y*y)**(-1)) assuming y is positive.\nAnswer: y**(5950\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0 - 63. Let f = -10 - v. Let l = 13 - f. Solve -b = -l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2266.6403 to the nearest ten.\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86940 and 55844?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -520.88?\nAnswer: 525.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*10\/75)\/(2\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 + 14 + 48 + -20?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + 113. Let g = -71 + x. Let s = g + -50. Calculate the remainder when 15 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 41*i**2 - 80*i + 610. Is d(32) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.4 - -7. Let q = 0.4 - l. Let a(g) = 113*g + 1918. Let o be a(-17). What is the closest to q in o, 0.2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/2 + 3\/6. Let f = 30 + w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -9. Suppose -j + 4 = -h. Suppose j = -4*v - 34. Let g(y) = -2*y**2 + 3*y + 6. Let f(r) = -5*r**2 + 8*r + 17. Calculate v*g(p) + 4*f(p).\nAnswer: 2*p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37.68 and -8.\nAnswer: -45.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3174*j**2*w**3 - 2*j*w**3 - 2124*w**3 + 2*w wrt j?\nAnswer: 6348*j*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 + 76. Suppose -2*o + 49 = 5*g + 3, 0 = -5*g + 2*o + 34. Suppose -b = -4*q + g. What is the highest common factor of 77 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and 0.03842095.\nAnswer: -0.06157905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 50389 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -859 + 859.00010068. What is a rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + (sqrt(304) - (sqrt(304) - 4*sqrt(304))) - sqrt(304))**2 + 2.\nAnswer: 4866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2902.33 not equal to -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 3:00 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/12)\/(4\/3*(-6)\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25)\/(-50))\/(15\/(-20)))\/(2\/26)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7774 and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 308221\nAnswer: 5\/308221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -24. Suppose z = r + 3*r. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -2\/7 (c) -0.4 (d) 571 (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 299?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 57256 - 57255. Let c(h) = h**3 - 5*h**2 + 2*h - 1. Let d be c(6). Calculate the highest common factor of d and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*a - 749*a + 20593 + 12692 = -191*a for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 3. Let j(b) = b + 4. Suppose d - 4 = -0. What is d*j(w) + 5*q(w)?\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 715473 = 47*f + 111758. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 9*m + 3\/2*m**2 + 0 - 13\/6*m**3. What is the first derivative of n(l) wrt l?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265034 is divided by 6464.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 40 = c + 3*c, -i + 5*c - 15 = 0. Suppose i + 6 = 4*s. Calculate the greatest common factor of 16 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6097 and 0.02056547616?\nAnswer: 6096.97943452384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62412 + -101?\nAnswer: -62513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*r + 1386 = -243*r. What is the smallest common multiple of r and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*r = 3*i - 41, -5*i = -5*r - 45. Suppose 3*a = 13 - 1. Solve 0 = -5*k - i*f - 5, -4*f = -0*f + a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -7 (c) 0.4 (d) -53 (e) -106 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - ((64 - -2 - 2) + (5440 - 5416))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 5, -16 in ascending order.\nAnswer: -62, -16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + l. Suppose 2*s = -4*i - 8, -4*s = 2*i + 5 - 1. Let x be g(s). Suppose 3*n + 2*r - 173 = x, -r - 238 = -4*n - 0*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32885987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 351*s + 2 + 472*s + 668*s to the form h*s + d and give h.\nAnswer: 789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and 2.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 112*d**2 + 329*d + 218.\nAnswer: (d + 1)*(d + 2)*(d + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/10)\/(-28*8\/160). Let -u - 6\/7*l - 3\/7*l**2 = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8938 divided by 4469\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 9\/3)*2. Let f = r + 0. Is f*59*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7 - 5*i + 31*i**2 + 24*i**2 - 54*i**2. What is the remainder when 17 is divided by t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 30*r - r**3 - 13*r.\nAnswer: -2*r**3 + 17*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:37 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11919870 to the power of 1\/2, to the nearest integer?\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r - 28*r - 144 = 8*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 13. Let y be x(16). Let v be 9\/(-6)*(-2)\/y. Is v at most 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + y**2 + 3*y**2 - 11*y**2 - 3*y**2 + (0*y + y - 2*y)*(y - 3*y + 0*y))*(8 + 469*y + 443*y - 3 - 938*y).\nAnswer: 208*y**3 - 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2470.4 - 2469.9. What is the third biggest value in 3, r, 2\/3, 25, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + a**3 + (-1 + 1 - 1)*(0*a**3 + 0*a**3 - a**3) + 2*a**3 + 3*a**3 - 4*a**3 - 154*a**3 - 206*a**3 + 176*a**3.\nAnswer: -181*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-2))\/((-13)\/(-78)). Let c = k - 41. Solve 9 = -c*m - w, 3*w = -0*m - 3*m - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/99 and 137\/24552.\nAnswer: 24552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3) + 60\/(-10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 0 + -7 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 286189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/83 and -16\/89391.\nAnswer: 89391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + 5.29. What is the third smallest value in 3, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4207509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-2)\/24). Suppose -k = -b - 3. Suppose -5*x - 57 = -b*a - a, -4*x = 5*a - 61. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 8*a - 13. Let u be h(6). Suppose 6*t - 10 = t. Let f(n) = -5*n - t*n + n. What is f(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -31, -3, -7, -0.1, -0.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/72 or 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 140 = -h. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2008 - -2017. Let c(t) = t**2 - 3*t + 4. Let w(i) = -2*i**2 + 7*i - 8. Give j*c(y) + 4*w(y).\nAnswer: y**2 + y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34633383745 - -34633383786.300000682. Let a = 41.3 - n. Round a to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.22 (b) 1\/4 (c) 110 (d) -0.1 (e) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359514, 719030, 1078546, 1438062, 1797578, 2157094?\nAnswer: 2516610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.06520306\nAnswer: -0.26081224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + -0.4. Let u = 9 - 4. Let n = 1 - 1. Which is the second biggest value? (a) n (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*b + 25 = -i, 2*i + 25 = -5*b. Let y(l) = -l**2 - l + 1. Let g be y(i). Let d(f) = 9*f**3 + f**2. Is d(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-1598)\/(-119))*7\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2)\/(30\/65) + 4\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6642339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 490503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 1 - 1 + 3*u + 11 - 11 + (3 + 3 - 5)*(u - 2*u - u) + 3*u + 3*u - 4*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 703490603 to the nearest integer?\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*h - 408 = 133*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69\/77 + -13\/11. Let s be (22 + -21)*2\/((-2)\/(-5)). Let t = -25 - -22. What is the nearest to 1\/3 in t, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from dyyuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a + 6*a - a**2 + 27 - 8*a. Let v be n(-12). Solve -2*z + 4 = -5*l - 5, 4*l = -v*z - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 u, and 1 c when three letters picked without replacement from {h: 2, c: 2, f: 3, v: 1, n: 1, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1300))**2*3.\nAnswer: 3900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83, -83\/2, 111\/464?\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 divided by -2?\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2\/4 - 660018*t - 145207920108 = 0.\nAnswer: -440012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v. Let s(z) = -47*z**2 + 2*z**2 - 3*z**2. Give k(s(r)).\nAnswer: 96*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 329467067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13 * -0.303085\nAnswer: -3.940105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1303 + -845. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-25) - (-181)\/(-5). Let p be 3*(-2 + 26\/(-6)). Let a = p - u. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12950 * 1.108.\nAnswer: -14348.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 16 (b) -1\/10 (c) -0.34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*(-40)\/21120*-40.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 4. Let d(l) be the first derivative of -5*l**2\/2 + 13*l - 91. What is -2*d(h) + 7*i(h)?\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001 + 1000001?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -1 - 7 + 1 + 2*q. Let w = -10 + 23. Suppose -b = 5, 2*b - 4 = -u - w. Let z(d) = -1. Determine u*l(v) - 6*z(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3 + 337*q**5 + 2*q**2 + 150*q + 0*q**3 - 829*q**5 + 256*q**5 wrt q?\nAnswer: -14160*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1260.6 - -169.4. Which is bigger: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1912894 at most -1912983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.1 + 6. Let d = 3.1 + u. Let k = -17\/3 - -49\/6. What is the smallest value in d, -2, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k**2 + 2*k**2 + 2*k**2)*(5 - 5 + 2*k**2) + 0*k**4 - 3*k**4 + 4*k**4 + (k + 2*k**3 - k)*(-3*k + 2*k - k).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 14. Let k be 14\/18 - h\/18. Let r be (2 - 0)\/((-2)\/2). Sort r, k, -1 in increasing order.\nAnswer: r, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 7 + 17)*(-2371 + 23*r + 10*r + 2371) as p*r + q and give p.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0387 + -29.8613. Round q to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 5. Suppose -4*j + 5*g - 9*g - 84 = 0, 3*g + 83 = -4*j. Let o be (10\/325)\/(1*4\/j). What is the nearest to -12 in 5, z, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/5*l + 48\/5*l**2 - 2\/5*l**3 + 0.\nAnswer: -2*l*(l - 23)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-36)*1*3\/(-15)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-3) - 2\/6. Let t be 6\/(-4)*(b - -16). Let p = t + 24. Is p greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0041684 to four decimal places.\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3 + ((-3 + 0 + sqrt(704))*-2 - (3 + sqrt(1584) + (sqrt(1584) - 2*sqrt(1584))*-3)) + 2)**2.\nAnswer: -256*sqrt(11) + 45063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -5*z - 11, 4*j - 16 = 4*z. Let g = -4.1794 - -0.1794. What is the third smallest value in g, z, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 9, n: 4, p: 3}. Give prob of picking 2 n and 2 p.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 + (-20)\/(-48). What is the nearest to 1 in 5, a, 3\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 9. What is the remainder when 20 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67544872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, j: 6, u: 6, g: 1, a: 1}. What is prob of sequence jr?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16180 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3762 or 3763?\nAnswer: 3762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652 (base 8) to base 7.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -19.25. Let u = s + -2.9. Let h = -0.15 + u. What is the third smallest value in 0, h, -2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*x - 21393 = 8323 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 4*r - 52, 22*m + 2*r + 52 = 27*m. Solve m = 22*f - 26*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Solve g = 2*b + 2*b - 2, u = -4*g + b - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -2*y. Suppose -q - 5*o = 0, 71 = 4*q - 3*o - 21. Solve 0*h = -y*h + q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*t - 6. Let j be 0 - (2*-1)\/2. Differentiate -j - p**3 + p**t + p**3 wrt p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 11*p - 115, p + 85 = 2*d + 6*p. What is the third biggest value in -2\/7, 0.1, 0.2, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 8 + 92*g - 92*g - 225996*g**2 - 7 + 225994*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2, -4*t = 4*f + 46 - 134. Let m be 120\/(-18)*f\/(-10). Suppose -4*c + m = -0*c. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001163803 to seven decimal places.\nAnswer: -0.0001164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28*h*l*z - 105*h*l + h*z + 53*z + 182 with respect to z.\nAnswer: -28*h*l + h + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 6:55 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {y: 3, b: 1, k: 4, v: 5}.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*d - 61*d + 980850538 - 980850538.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3498289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 204093 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = 13*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 874\/(-57) + (-2873)\/(-51) + -7\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 1:22 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99)\/(-4 + (-20376)\/(-5096)). Suppose -2*p - 30068 = -2*z + 32992, -q = -2*z - p. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 2*h - 5*h + 20*h**3 - 11 - 4*h**3. Let c(j) = -5*j**3 + j + 4. Give -8*c(b) - 3*k(b).\nAnswer: -2*b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffu when four letters picked without replacement from {f: 6, u: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 325*g**2*t**5 + 6*g**2*t - 20*g*t + 4*g - 72*t**5 - 3*t wrt t?\nAnswer: 6500*g**2*t**3 - 1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(80)\/(sqrt(20)\/sqrt(4)))\/(-5*-3*sqrt(8)))**2.\nAnswer: 2*sqrt(2)\/3 + 5627\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 (base 6) in base 15?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 205*k**2 - 591*k + 147. Give l(-54).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -100 + 105. Suppose 4*w - 5*j = -j + 24, 0 = -3*w + 2*j + 16. Solve -y*x - 3 = -w*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 71. Calculate v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.9861ml to litres.\nAnswer: 0.0359861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -158232.\nAnswer: 59\/79116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -97*i**2. Let b(x) = -400*x. Let v(k) = -63*k. Let t(j) = -4*b(j) + 25*v(j). Calculate t(g(u)).\nAnswer: -2425*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28658601 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6264 - -6315 - (132 + 1)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*h - 870 = 0, -3*o = 3*h + 2*h + 874. Let z = -276 - o. Put 5, 3, z, -5 in increasing order.\nAnswer: -5, 3, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237.8 - -110. Let i = 128 + f. Let v be ((-1)\/(-7))\/((-1)\/2). What is the second smallest value in v, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g + 7 = -i, -5*i = -2*g + 20. Suppose 0 = -g*r + 73 + 82. What are the prime factors of r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-11))\/r**(3\/7))\/(r*r**24)**13 assuming r is positive.\nAnswer: r**(-2341\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5728*b**2*u**3 + 2*b**2*u**2 + 4*b**2 - u**3 + 35*u**2 + 1 wrt u?\nAnswer: -34368*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93430815 and 218005235.\nAnswer: 654015705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**6\/120 + 2*f**5\/15 + f**4\/24 - 2*f**3\/3 - 2*f**2. Let w be o(8). What is the highest common divisor of w and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25519 bigger than 76561\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 4:52 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 3*m + 5*b - 8, -5*m - 175 = 2*b. Is -7 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 0.05699\nAnswer: 0.39893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + -1 + -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by -101168.\nAnswer: -37\/101168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5\/(5\/2) + 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/z**(-16) assuming z is positive.\nAnswer: z**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5957733.\nAnswer: 3, 1129, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/54 and -71\/114.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.044 (b) -5 (c) 1\/271 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 2968 + 5498 + 5459 - 3*b - 71 to the form m + h*b and give m.\nAnswer: 7918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 343807, 687714, 1031629, 1375552?\n\"Answer: 4*r**2 + 343895*r - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -4*p + 23*p + 19 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -1 (c) -0.078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4f4ce (base 16) to base 15\nAnswer: 66394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -646\/7 (c) 102965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*sqrt(432)*3 + -3)**2 + 5) + -1.\nAnswer: -46699 + 1296*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/1 + 11 + -2. Let j = r + -2. Calculate the smallest common multiple of 46\/8 - (-1)\/4 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + -0.443.\nAnswer: 1.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j + 5*z - 10, 4*j - 4*z + 165 = 157 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 6*k + 3*k**2 + 5 + 3*k**2 - 2*k**2. Let r be u(6). Suppose 3*j + 3*p - 6 = 0, p + 3 = -j + 5*p. Solve -4*m = -r + j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 16*a - 5*a - 6*a - 2*a. Let s(f) = f. Give y(s(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*(3*i - i - i)*(2 + 1 - 4)*(0*i + 4*i - 11*i).\nAnswer: -35*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/9)\/(4\/48). Suppose -2*c = -s - 14, 3*s = t*c + c - 36. What is the remainder when 23 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 11130102023?\nAnswer: 11130102002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -175*c**4\/6 + c + 6. Let h(k) be the first derivative of b(k). Let f be h(4). What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 25226 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 307255 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4075*l - 4*m = 4070*l + 288, -2*l - 2*m + 126 = 0 for l.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300560, -300573, -300586, -300599, -300612?\nAnswer: -300625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/30767 - -1015263\/246136. Solve l*m + 9\/4*m**2 + 9\/4 + 3\/8*m**3 = 0 for m.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -154*r + 63. Let n(j) = -5*j + 2. Suppose -3*x = -8*x. Suppose -3*w + 1 - 7 = x. Let h(p) = w*k(p) + 63*n(p). Let y(c) = c**2. What is y(h(m))?\nAnswer: 49*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 470070 divided by 45\nAnswer: 10446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(10)\/sqrt(18) - sqrt(5))**2*-4.\nAnswer: 400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - 1 - 2 - -4. Find the third derivative of -33*x**o + 2*x**2 + 22*x**4 - 5*x**2 wrt x.\nAnswer: -264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -38. Let i(p) = -3*p + 3. What is i(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14000462, -2, 1 in decreasing order.\nAnswer: 1, -2, -14000462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 4:04 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from nwj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((2\/(-7))\/(33\/77)). Suppose 0 = -4*z - 0*z - m + 28, 0 = 2*z + 3*m - 4. Let h(u) = 2*u**2 + 5*u**2 - z*u**2. Calculate h(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-246)\/(-287)*(-49)\/182?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 10*q + 3. Let m be r(-9). Let g(y) = -y**3 - 6*y**2 - 1. Let o be g(m). Sort 5, o, -9 in decreasing order.\nAnswer: 5, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(425))*-5*4)**2 - (-3*sqrt(68)*3)\/(sqrt(4) + sqrt(64)*2).\nAnswer: 16001*sqrt(17) + 681600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 1. Let t be c(3). Find the common denominator of 91\/22 and (62\/t)\/(-4*2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -907, -1840, -2775, -3712, -4651, -5592?\nAnswer: -6535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50702 is divided by 111?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 5) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 4795472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*h + 21, 0*f - 4*f = 3*h - 3. Solve -20 = -f*i + 8*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 186*l - 2596. What is i(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (-4)\/(-6) + (-5)\/5. Factor -2\/9*b**4 - 26\/9*b**2 - 8\/9 - 4\/3*b**3 - n*b.\nAnswer: -2*(b + 1)**2*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(147)\/sqrt(27) + (sqrt(7056) - (sqrt(7056) + sqrt(7056)*-2)))*-5*-6)\/(-2*sqrt(175)*-5 - (sqrt(175) - 5*sqrt(175)*2)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 10. Let h be z(5). Suppose h = d - t, 4*t = -3*d - 28 - 0. Sort 5, d, 8 in ascending order.\nAnswer: d, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -55*m + 4. Let f be i(-2). Suppose -2*u = u + f. Let o = u - -55. Solve -n - o = 4*j, -3*n = 5*j + 8 + 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, 1\/4, 5, 3\/5, -0.0627?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(-2\/3)*j*j**(-9\/4)\/j assuming j is positive.\nAnswer: j**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 80*n = -84*n + 504, 5*n - 118 = -u. What is the remainder when u is divided by 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1*p*p)**(-8\/11)*p**(3\/19)*p**6 assuming p is positive.\nAnswer: p**(679\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 27?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-252)\/24)\/21*-20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38580197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 872a (base 12) to base 13\nAnswer: 69c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from aqsqbnbqqs?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i**3 + 3*i)*(12*i + 8*i**2 - 12*i).\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78693540, 78693541, 78693542, 78693543, 78693544, 78693545?\nAnswer: 78693546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 211310696 to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 12*s**2 - s - 1. Let w be y(-1). Solve 5*x - w - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1195*u - 3 = -4*h + 2401*u - 1201*u, 6*u = -3*h + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -1707*t + 1711*t + 4*r, -4*t - 11 = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3567*c + 14298. Calculate j(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693\/(-66)*2\/(-12).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 2547345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f*i**3 - f*i**2 - 18*f*i + 2*f - 30*i**4 + 3*i wrt i?\nAnswer: 18*f*i - 2*f - 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfcfwwwfcwcf. What is prob of picking 1 w and 3 f?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, 44, 3.5, -1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, w: 2, y: 1, r: 1, b: 1, c: 1}. Give prob of picking 1 b, 1 c, and 1 r.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25 + 29)*(-13159)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 499288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 6. Suppose 0 = -s*o - 5*b + 5 - 23, 0 = 4*o - 5*b + 24. Calculate the remainder when ((-14)\/(-4))\/(o\/(-60)) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s - 2520 = -2498 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2687 - 0?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0*c - 11 - 5*c + 0. Let r(k) = 3*k - 5 + 3 + 4 - 2*k. Let p = 1 + -3. Determine p*u(m) - 11*r(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**2)*(4*b**2 + 7*b**2 + 10*b**2)*(-29 + 34 - 41 - 44).\nAnswer: -3360*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z - 1. Let h(k) be the first derivative of -3*k - 1111. Give 2*h(c) + 2*r(c).\nAnswer: 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 8*t**2 + 5*t. Let f be z(11). Let o = f + -227. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33\/8 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259, -571, -893, -1225, -1567, -1919, -2281?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 548610000 rounded to the nearest one million?\nAnswer: 549000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 43. Find the common denominator of -103\/10 and (-52)\/10 + w\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, -5\/2, 5, -0.03, 1.4 in ascending order.\nAnswer: -5, -5\/2, -0.5, -0.03, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 771934\/23 - 33562. Factor -544\/23*m + 130\/23*m**2 - d*m**3 + 128\/23.\nAnswer: -2*(m - 8)**2*(4*m - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020021222212 (base 3) to base 9\nAnswer: -1207885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + -22.8. Let t = f - -22.4. Let d(w) = -w**3 - 15*w**2 + 2. Let x be d(-15). Which is the nearest to -0.1? (a) t (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 215520 + -233?\nAnswer: 215243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7024 + 0.698977. What is z rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 30*p - 6 + 12 as z + l*p and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-2 + 5)**2 - sqrt(204)\/(sqrt(12)*-2) - 5*((-1*sqrt(17)*-5)**2 - sqrt(425)*-1).\nAnswer: -2032 - 89*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -153e - -38?\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 13\/(-24)*5. Let k = -1\/24 + t. Do k and -1\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -1 - (-9 + (-39 - (26 + -77)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 + 4. Let n = -19 - 29. Let i = n + 48. What is v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(-7)\/28*22\/110*92\/(-5).\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)*y*(y\/(y\/(y*y*y*(y*y**(2\/9)*y)\/y*y*y)*y)*y)\/y*y)**(-13) assuming y is positive.\nAnswer: y**(-5447\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 6*u**2 + 5*u - 6. Let o be 2 - 3 - (2 + -1). Let g be 4\/o - (-3)\/(-1). What is q(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006928 rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/2825412 and 61\/783.\nAnswer: 25428708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, 4, -0.5, -22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 9*j - 6. Let p be u(-8). Let x be (1\/p)\/((-4)\/8). Let d = 2 + x. Solve d = -2*h + h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 544 greater than or equal to 7076\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1326760 is divided by 9409?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-8)\/4)\/(-110)). Let n = d + -22. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 16, t: 2}. Give prob of picking 2 t and 1 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.347 - 9.493. What is t rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 3*z**2 - 3*z + 5. Let d be r(-4). Let y = 4 - 2. Suppose -5 = -3*a - y*a. Solve 2*f - a = d for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(2\/51)*d))**(2\/81))**(-14\/11) assuming d is positive.\nAnswer: d**(1372\/45441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-77316)\/(-16))\/(-6 + 9). Let u = z + -1601. Find the common denominator of u and 17\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - 4*g + 5. Suppose z - 4*s = -209, -s + 713 = -4*z - 108. Let h = z - -188. Let x(t) = -11*t**2 + 11*t - 15. Determine h*p(a) - 6*x(a).\nAnswer: -2*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2 (c) -66320\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 6*u**2 + u**2 + 2*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.3532 + 514.2.\nAnswer: 490.8468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14711832 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03488 to three dps.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*m + 8, -3*i + 13 = -0*i - 2*m. Let d = 4.09 - 0.09. Let k = 2364 - 2364. What is the nearest to i in d, -2\/9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 5*t**3\/6 - 10*t. Let d(y) be the first derivative of 4 - 3\/2*y**2 + 0*y. Determine d(p(o)).\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0982221196 rounded to three dps?\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 - -124. Suppose 95 = -f*u + 487. Calculate the least common multiple of 6\/((1\/(-2))\/(-1)) and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1568) + sqrt(1568)*-4 + -4 - (-4*sqrt(3872)*-4 + sqrt(3872) + sqrt(3872)))**2.\nAnswer: 7008*sqrt(2) + 1534768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, 2, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 111941 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:01 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 43565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 1054*t**2 + 129828*t - 399024.\nAnswer: 2*(t - 3)*(t + 204)*(t + 326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 737*v**2 + 2. Let q(t) = 12*t. Let i(w) = w**2 - 48*w. Let z(n) = i(n) + 4*q(n). Determine g(z(r)).\nAnswer: 737*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2212168 weeks in days?\nAnswer: 1.5485176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-46))\/(14\/(-8))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -3\/4 (c) -3\/2 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z - 10*z. Let j(m) = -1 + m**3 - z + 6. Calculate j(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002888654 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 447 - 4920\/11. Let i(k) = 2*k**2 + 92*k + 3. Let m be i(-46). Which is the fourth biggest value? (a) m (b) 1 (c) -5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36\/10301 + -216079\/5964279. Calculate the common denominator of q and -101\/30.\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -5. Let t(w) = w - 1. Let l(i) = -2 + 0 + i + 0. Calculate m*t(s) - l(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*o = 1281, -4*k - 4*o + 2168 - 460 = 0. What are the prime factors of k?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2422 and 1939532.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 5 (b) -12 (c) -14.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33105 + -3?\nAnswer: 33102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:03 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 1, 0, 12 in increasing order.\nAnswer: 0, 1, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/3 - 325*q**3 + 7736*q**2\/3.\nAnswer: q**2*(q - 967)*(q - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -20440054?\nAnswer: 20440022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 66\/18 - (-117329998)\/6. Suppose -v + t = 5*d, 3*d + 7822000 = 5*d + 2*v. What is d rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-26)\/(-143) - (-1 + (-258)\/33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, 89, 264, 533, 902, 1377?\n\"Answer: w**3 + 38*w**2 - 34*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23946492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a19a (base 12) in base 9?\nAnswer: -162751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/7 - 34*z**3\/7 + 108*z**2\/7 + 360*z\/7.\nAnswer: z*(z - 30)*(z - 6)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 * 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -25550*a + 25526*a. Solve 19*b = -4*y + 15*b - 20, -24 = 4*y + a*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 8}. What is prob of sequence crc?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 70*a + 208. Let b be f(-26). Let d(z) = z**3 - 4*z**2 + 3*z + 4. Let w be d(3). Put b, -52, w in increasing order.\nAnswer: -52, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 1:18 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -172, -457, -984, -1831?\n\"Answer: -13*j**3 - 4*j**2 - 18*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -137 - -143. What is the nearest to 1\/2 in 1\/4, s, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 22*c**5\/5 - 111*c**2 - 155*c - 112. Let f(a) be the first derivative of v(a). Find the first derivative of f(g) wrt g.\nAnswer: 264*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by 18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/9 - 5\/3. Sort r, 0.05, 0.4.\nAnswer: r, 0.05, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 64 = 4*v. Find the common denominator of -151\/18 and (-10)\/v - (-278)\/(-48).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -5. Let f be (-5)\/(-2)*(-36)\/(-45). Let j(q) = -f*q**2 - 10*q + 3*q**2 + 10*q + 1. What is j(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27644, -27642, -27640, -27638, -27636?\nAnswer: -27634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8967.231l?\nAnswer: 8967231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.44*-0.7.\nAnswer: -14.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 19*g - 184. Let h be v(10). Suppose -187 = -h*b - 181. Solve 3*f - b + 0 = -2*t, f - 3 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6023?\nAnswer: 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 4222 - 666. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 - -3) + -2 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -976416 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 1. Let c(u) = 100*u - 62. Let b(v) = c(v) + 3*t(v). What is the derivative of b(w) wrt w?\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2147+1.938\nAnswer: 2148.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**4 + f**3 - f + 1. Let u(l) = -28*l**4 - l**3 - 50*l**2 + l - 1. Let q(z) = -g(z) - u(z). What is the third derivative of q(c) wrt c?\nAnswer: 648*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1890 and 998707185?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120119\/26 - 4620. Let f(m) = -2*m**2 + 1. Let u be f(-1). Which is bigger: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -291442, -291452, -291476, -291520, -291590, -291692, -291832, -292016?\n\"Answer: -q**3 - q**2 - 291440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v = 20*v - 196574. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u**2 + 2*u + 3. Suppose -9 = -4*a - l, 3*l + 10 = a + 11. Let j(s) = a*s**2 + 4*s**2 - 1 - 6*s**2 + s**2. Determine -h(k) - 2*j(k).\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 2682448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*3\/(-9)*-3. Let v = 29 + -14. Let o = p + v. Calculate the remainder when 58 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r**3 + 32*r**2 - 38*r - 346. Let c be p(-7). Calculate the highest common divisor of c and 820.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 7*a + 3. Let v be n(-6). Suppose -3*k + v + 15 = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30301220 + -1113303?\nAnswer: -32021123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 1)*(7 + -6). Suppose h*p + p - 27 = c, -3*p + 9 = -3*c. What is the least common multiple of p and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 - 7*f**2 - 46*f + 17. Let w(x) = -x**3 - 3*x**2 + x + 12. Determine k(m) - 2*w(m).\nAnswer: -3*m**3 - m**2 - 48*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*t**2 + 4 - 3 + 2*t + 230*t**2 - 419*t**2.\nAnswer: 35*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 179*b*o*v**2 - 389*b*o - 198*b*v**2 - o*v**2 - o + 58420864*v**2 wrt b.\nAnswer: 179*o*v**2 - 389*o - 198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22896558 - 26*b - 22896558.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 876, 1667, 2458, 3249?\n\"Answer: 791*n + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-672)\/360*(-6)\/21. Find i, given that -4\/15*i**3 - t*i**4 + 8\/15*i**2 + 0 - 2\/15*i**5 + 2\/5*i = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 + 2*w + 4. Let u(d) = -d**3 + 8*d**2 + 2*d - 14. Let t be 32\/6*3\/2. Let o be u(t). Suppose o*z - 5 = 3*z. Determine m(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*u**2 + (u + 2*u - 4*u)*(u - 5*u - 2*u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1601 = 5*x - 5016. Let k = -378 + x. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {z: 1, t: 8, a: 11}.\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**3\/3 - 5*q**2 - 4*q + 1. Let a = -13692 - -13684. Calculate w(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 10*m**7 - 212 - 1\/4*m**4 + 0*m + 0*m**2 + 0*m**5 + 49\/3*m**3 + 0*m**6. What is the third derivative of d(c) wrt c?\nAnswer: 8400*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -8*a**7\/105 - a**5\/6 + a**2. What is the third derivative of n(v) wrt v?\nAnswer: -384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 12) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {y: 3, n: 12}.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/9 + 78*x**2 - 39362*x\/9 + 32882.\nAnswer: 2*(x - 41)*(x - 9)*(x + 401)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g = 14*g + 4. Suppose -9 = g*u - 7. Calculate the common denominator of u and ((-1)\/8)\/((-2)\/212).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/552)\/((-62034)\/11816))\/(-1).\nAnswer: -1\/207","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 13058673?\nAnswer: -13058678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 4, -9 in increasing order.\nAnswer: -14, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -41377161291.\nAnswer: -41377161292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3552 - 0.4241. What is x rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699 = 4*q + 113. Let u = -76 - q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1404, 2827, 4250, 5673, 7096, 8519?\nAnswer: 9942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227 + 6?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*a**3 - 28*a**3 - 5*a**4 + (-4*a**4 + 4*a**4 + 2*a**4)*(-2 + 2 + 1) + 3*a**4 + 5*a**4 - 6*a**4 + (-4*a + 2 - 2)*(8*a**3 - 17*a + 17*a).\nAnswer: -33*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 354.1081 centimeters?\nAnswer: 3.541081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 1\/2*z**2 - 1\/3*z**3 - z - 4. Let k(h) = -h**3 - 5*h**2 + 5*h - 5. What is 3*k(u) - 15*w(u)?\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872806416.\nAnswer: 2, 3, 18183467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6141977?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2492*h + 9992. Determine o(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008890413 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 0)*(-3 + 1 + 3) - 4 + 3 + 0)*(1 + 0*m - 2*m + 0*m).\nAnswer: 6*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 73366435*b**3 - 2*b**2 - 1524755*b + 6?\nAnswer: 440198610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 34015 and -3020.347166.\nAnswer: 30994.652834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -14154?\nAnswer: 14155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -42938.844 rounded to the nearest integer?\nAnswer: -42939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 21149485.1.\nAnswer: -21149488.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 2)\/(-9) - -4. Solve -x = 6*z - 7*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -4 (c) 98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.67 and 126770470?\nAnswer: 126770466.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 5 + -2 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 9:45 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - 52 - (-56 - -25 - -20).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 126?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 851144299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2446 divided by -3932?\nAnswer: 1223\/1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 8*m**2 - 1. Suppose 189 = -98*h + 107*h. What is the remainder when c(-9) is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + -0.4. Let k = 0.266 - -167.734. Let i = 165 - k. What is the nearest to h in 2\/15, -0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4072650397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**35\/(v*(v*(v*(v**(-1\/13)\/v*v)\/v)\/v)\/v)*v**(-4\/19)*v\/(v**45*v) assuming v is positive.\nAnswer: v**(-2503\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 2 n when four letters picked without replacement from {n: 3, h: 1, a: 2, s: 1, b: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**3 - w**3 + 3*w**3)*((-8 + 8 + 5*w)*(-28 + 3 + 1) + (-w + 2*w + w)*(3 + 0 - 5)) as u*w + a*w**3 + p + t*w**2 + j*w**4 and give j.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -25a9960 (base 11) to base 14\nAnswer: -854b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -900*z - 973. Calculate w(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -278*c**3 + 22*c**2 wrt c.\nAnswer: -1668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 9*l + 660. Let s = l + 78. Suppose s*n - 4*n - 17 = -3*j, -4*n - 3*j = -7. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001008925088 rounded to 5 dps?\nAnswer: -0.00101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*3\/18)\/(15*(-42)\/420).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1, -2, -3, -4, -5, -6?\n\"Answer: -x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/16)\/((-7)\/28)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 51. Let p be y(-7). Let g(a) = 10*a + 31. Let m(d) = 21*d + 63. Let b(t) = p*m(t) - 5*g(t). What is the tens digit of b(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1640, 3279, 4918, 6557?\n\"Answer: 1639*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379758450 rounded to the nearest one hundred thousand?\nAnswer: 1379800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101 is divided by 430?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 732787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 929 = -2729. Suppose 4*q - i - 368 = 0. Let z = q + -95. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 47*s - 306. What is t(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 - 5 - 16*p + 6*p**3 + 6*p + 10*p. Let l(g) = g**3 - g**2 - 1. Let i(t) = t - 9. Let a be i(4). Give a*l(j) + f(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 962 divided by -2?\nAnswer: -481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 87833000 rounded to the nearest 1000000?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wma when three letters picked without replacement from {d: 3, m: 2, w: 3, a: 5, b: 1, p: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -73. Let w be (i\/6)\/(6\/9). Let q(a) = -a**3 + 7*a**2 - a. Let x be q(6). What is the greatest common divisor of w and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 - -1141\/6. Which is the nearest to o? (a) 1\/4 (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p - 2. Let d(x) = 2*x - 4. Let m(y) = y - 4. Let f(z) = 5*d(z) - 4*m(z). Let a(w) = 11*w - 8. Let b(r) = -3*a(r) + 5*f(r). Give 3*b(i) + 5*t(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5322 - 5?\nAnswer: -5327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Let t = -0.05 + 0.35. Let k = -4.2 + 8.2. What is the smallest value in t, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 35 = 50 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 * -2317\nAnswer: -24560.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiliirriiiirr. Give prob of sequence li.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1967.29 - 1982.29036. Let l = 15 + t. What is l rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 (base 10) in base 13?\nAnswer: -a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - v + v - 32487*v**3.\nAnswer: -32487*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/57040 and -18\/805.\nAnswer: 399280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {h: 1, n: 1, z: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5*s + 7 + 2 = 0, -23 = 5*y + 3*s. Let n be y\/(-14)*91\/39. Factor -n*i**2 - 8\/3 + 8\/3*i.\nAnswer: -2*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127237 = -924*b + 60709 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 3*j**3 + (-6 + 2 + 2)*(-j**3 + 6*j - 6*j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3754050*p**2 - 3472787*p wrt p.\nAnswer: -7508100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1 + (-3 - 4)) + (-40001)\/(-442).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*l - 546 - 502 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -449*c - 956. Is w(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2859*q - 2*q**3 - 159 - 224 + 3015*q wrt q.\nAnswer: -6*q**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 134, 773, 1408, 2039, 2666?\n\"Answer: -2*b**2 + 645*b - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 126*t + 8 - 10.\nAnswer: 126*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18292.69 rounded to the nearest 10?\nAnswer: 18290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4075475 a multiple of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000709 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4352368 to the nearest integer?\nAnswer: 2086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259298848.\nAnswer: 2, 97, 83537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-856.98\nAnswer: 171.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 143.1 and -9994.\nAnswer: -1430141.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3. Let n(z) = -16. Let a(u) = -2*n(u) + 11*s(u). Suppose -4 = -x + 2*x. Let o(d) = 33*d - 4 + 0 - 32*d. Calculate x*a(t) + o(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0746 + -59.9746. Let s = -53 - p. What is s rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/130 and 41\/4236?\nAnswer: 275340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-6 - -6)) + (1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1 + 0 - 1 - 14*q + 3. What are the prime factors of j(-5)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -2552666\nAnswer: -13\/2552666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 209*k - 14 - 180*k + 178*k + 58*k + 329*k to i + b*k and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2050 and 57\/18860.\nAnswer: 94300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.6848142s to days.\nAnswer: 0.0000426483125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8969 is divided by 2697.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6144 + 3358. Let o = z - 9506.0004. Let f = o + 4. What is f rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3ac7c (base 13) to base 9.\nAnswer: -7165700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**4 - j**3 - j. Let s(i) = 9*i**4 - 2*i**3 - 2*i + 8. Let p(g) = -2*m(g) + s(g). What is the first derivative of p(v) wrt v?\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -446\/5 + 38767\/435. Is s >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = 4*a - 4*u - 50, 3*u + 51 = 3*a. What is the remainder when 133 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 12:48 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12206 + -12194. What is the third biggest value in 2\/189, v, 3\/2?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = n - 12*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28294877 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.761931l?\nAnswer: 761.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -245.542 to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) -209\/29 (c) -5.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -13 and 58.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 + 88. Which is smaller: i or -48.4?\nAnswer: -48.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1172, 2336, 3502, 4670, 5840, 7012?\n\"Answer: l**2 + 1161*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5759 + 5884. Solve -7*x + h = 111 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 + 6*o + 7. Let y(z) = -18*z**2 - 11*z - 14. Let h(w) = -11*q(w) - 6*y(w). Let a(j) = -2 - j**2 - 3*j**2 - 1. Give -5*a(m) - 2*h(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/27608631 and 19\/84051.\nAnswer: 2733254469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 433066391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 1. Let h be g(3). Let z = h - -15. Solve -2*x + 3*f + 27 = 3*x, 4*f = -3*x - z for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 1\/6, 1710, -0.5, 1.4 in decreasing order.\nAnswer: 1710, 3, 1.4, 1\/6, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5497564, -5497561, -5497558, -5497555, -5497552?\nAnswer: -5497549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(2*8\/4). Suppose 2*r - 138 - 16 = x. What is r rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60166 and 112250.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**4\/3 - t**3\/2 + 3*t**2. Let u(j) be the first derivative of 3*j**2\/2 - j + 22. Calculate -4*k(c) + 11*u(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y**2 - 29*y + 5. Let b(n) = -n**2 - 10*n + 2. Let c(h) = 8*b(h) - 3*j(h). Calculate c(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 175 + 65. Solve 4*n - 2 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 6973 = -j + 2*m, -5*m - 1413 = j. Let k = 2133 + j. List the prime factors of k.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42392 and 266.\nAnswer: 805448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2020213 - -330322?\nAnswer: 3011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let m(b) = 3*b - 4. Let o(a) = -58*a - 1. Let d(i) = 2*m(i) - o(i). Give d(l(n)).\nAnswer: 128*n - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 4*r + 3, 0 = -4*b - 3*r - 2 - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {i: 5, t: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*d**3 + 24*d - 109*d**3 - 100*d**3 - 24*d + 280*d**3.\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17224)\/(-4) - (0 - 2). Suppose -2*z - s + 378 = 2101, 5*z + 2*s = -x. Let a = z - -1721. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -9*w + 1. Let g(v) = -62*v + 6. What is 21*b(x) - 3*g(x)?\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 6*l + l)*(19 - 11 + 11) + (0*l - 2*l + 0*l)*(-5 - 8 + 29).\nAnswer: -70*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/41)*u)\/u**(23\/2)*(u\/(u\/(u**26\/u)*u))\/(u\/u**(5\/9)*u) assuming u is positive.\nAnswer: u**(8915\/738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9))**(-2)*(w**(-1\/3)*w)**13 assuming w is positive.\nAnswer: w**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8273083436 to the nearest integer?\nAnswer: 90956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5052252123 + 5?\nAnswer: 5052252132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is c3b (base 15) in base 16?\nAnswer: ac4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - 1*sqrt(1216)) + (3 + sqrt(1216) + sqrt(1216))**2 + sqrt(1216) - (4 + sqrt(76) + -1*(sqrt(57)\/sqrt(3) - sqrt(19)) + sqrt(19))**2.\nAnswer: 73*sqrt(19) + 4686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2957, -5665, -8373, -11081, -13789, -16497?\nAnswer: -19205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(6)\/(sqrt(18)\/sqrt(6))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 52\/10*(-75)\/(-30). Solve 0 = -l*z + 10*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 884 and 408.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -2, -1 in decreasing order.\nAnswer: 17, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 4*t**2 + 3*t**2 + (t + 0*t + 0*t)*(3*t + 3 - 3) + 9*t**2 - 24*t**2 + 136*t**2 to x + d*t + f*t**2 and give f.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119352935 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 10:02 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + -2*sqrt(2448) + sqrt(2448) - (0 + sqrt(17)*4))*2)**2*2.\nAnswer: 2176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 4*q + 8 + 0.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + 1)\/((-1)\/(-2)). Let j be ((-18)\/4)\/(2*(-6)\/16). What is the highest common divisor of j and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wbd when three letters picked without replacement from lwbfvbd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let n = 10.76 - -0.24. Let m = 12 - n. Is m bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 268*c**2 - 3 + 458*c + 433*c - 891*c - 7.\nAnswer: 268*c**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2179.9*120\nAnswer: -261588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**2 + 4 + 2*u**3 - 4.\nAnswer: 2*u**3 + 23*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 73*y + 198. Calculate the remainder when 2748 is divided by t(-1).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w = 1. Let f = 9 + w. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1206*m - 665*m + 886*m in the form v + r*m and give r.\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.1 (b) -0.3 (c) 14 (d) -2 (e) 1.545\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10*y = 8*y + 4, -3 = -3*j - y. Suppose -6*h + 4 = -2*h. Calculate the remainder when j is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 + 28*w - 17. Let b be a(8). Suppose -b*c - 1114 = -17*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1) + 1*91. Let r = -48 + j. Suppose -4*o + 3*g + 24 = g, 12 = -3*g. What is the highest common factor of r and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11210301 (base 4) to base 14\nAnswer: -846d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 5 + 0 + -1. Suppose 0 = -2*p + x*h + 13, h = -2*p + 3 - 2. Suppose c - j = 9, p*c - 14 = 4*j - 4. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 11475 = -2*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/((-9)\/72*6).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -4*t**2 + 957*t - 1246. Calculate b(238).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76306443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**2 + 36*j + 8. Calculate n(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.07176817 + 9.23?\nAnswer: -30.84176817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)*z*z\/(z**(-13)\/z))\/(z**4*z*z)**(-5\/9) assuming z is positive.\nAnswer: z**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13 + 3 - (-3 + 1). Let t = p + -272\/15. Let a = 462\/5 - 93. What is the closest to 2\/3 in a, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465088 divided by 1\nAnswer: -465088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5145544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3041.0924 rounded to the nearest integer?\nAnswer: 3041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 16*w - 14. Suppose 4 - 74 = 5*d. Let i be b(d). Suppose -i*v + 16*v = 0. Solve -g - 2*z + 3 = v, 1 = 2*g + 3*z - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3514852412 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Let n = 24 + -17. Suppose n = -5*r + 2. Which is the nearest to r? (a) -0.3 (b) u (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*u = -70*u + 3*z - 6, 5*u + 5*z = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 0*g. Suppose 0 = g*y - 0*y + 3*a - 1, 2 = 2*y + 2*a. Solve 4*p = -5*x + 17, y*p - 4 = -p - 2*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - (-100)\/(-12))*-3. Let z = -39 + m. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -16.783, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u - 78*u + 0 + 106*u + 0 - 542*u.\nAnswer: -521*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/20)*w*w**(2\/25)\/w)\/((w**(1\/4)\/w*w)\/(w*(w\/(w\/(w**(-2)*w*w)))\/w*w)) assuming w is positive.\nAnswer: w**(22\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 533*v - 1858. Calculate the lowest common multiple of 7 and i(5).\nAnswer: 5649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 190, 286, 382, 478, 574?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 904 - 116 = 0. Round z to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(350)*-3 - sqrt(350)) + sqrt(350))*-1)\/(3*sqrt(21)\/(sqrt(18)\/(sqrt(6) + (sqrt(6) - (sqrt(6) - (sqrt(6) + sqrt(18)\/sqrt(3))))))).\nAnswer: -85*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 7*y**2 + 6*y - 8. Let h(x) = x**2 - x + 1. Suppose 0 = 2*f - 8*f + 36. Determine f*h(d) + q(d).\nAnswer: d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 12. List the prime factors of 0 + (-1 - (-12)\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and -0.1175.\nAnswer: 1.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1474*t + 4020. Let b(w) = 2*w - 6. Give -1340*b(f) - 2*h(f).\nAnswer: 268*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -271511\/21 + 12929. Put 3, -1\/4, 1\/4, d, 1 in ascending order.\nAnswer: -1\/4, d, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/12070 and 93\/11360.\nAnswer: 193120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/(4\/18). Let o = 4 + -4.01. Let j = -0.29 + o. Put g, j, 0 in increasing order.\nAnswer: j, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**4 + 7 - 13 + 7 + k to a + w*k**2 + x*k**3 + p*k**4 + g*k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/7 greater than -1\/903601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q - 3*q + 11*q + 2*q - 46*q - 12*q + (-3 + 3 + 1)*(1 - 2*q - 1) to s*q + x and give s.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4916232, -9832461, -14748690, -19664919, -24581148?\nAnswer: -29497377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/12 + 2*x**3\/3 + 3*x**2\/2 + 3*x. Let o be ((-1)\/(-2))\/(((-28)\/48)\/(-7)). What is a(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9608977 divided by 1372711\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -64. Suppose 0*o = -4*o - 264. Let s = o - -101. What is the remainder when l is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12661 (base 7) in base 5?\nAnswer: -102144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/19*368\/736\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10712 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 9}. Give prob of picking 3 n and 1 v.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 737453594 to the power of 1\/2, to the nearest integer?\nAnswer: 27156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 1 = 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1319\/5 - 264. Which is the closest to i? (a) 3\/10 (b) -2\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1565378 to the nearest ten thousand.\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**9\/v)\/v)*v**(-3\/2)*v*v*v*v**(1\/5)*v*v**(1\/10)\/v)**(-17\/2) assuming v is positive.\nAnswer: v**(357\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 10*o + 2. Let q be j(6). Let p be (-18)\/216 + q\/168. Factor -p*k**5 + 64\/7 + 20\/7*k**4 - 80\/7*k**3 - 160\/7*k + 160\/7*k**2.\nAnswer: -2*(k - 2)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.7 + -96581745.\nAnswer: -96581793.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 5:57 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -18. Suppose -3*g + 2*g + 4 = -5*j, a = -4*g - 3*j + 16. What is the nearest to 1 in 1, 0, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -5637*n**4\/4 - 3910*n**3\/3 - 5415. Find the third derivative of x(y) wrt y.\nAnswer: -33822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8150, 8149, 8132, 8093, 8026, 7925?\n\"Answer: -u**3 - 2*u**2 + 12*u + 8141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -504, -749, -988?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oi when two letters picked without replacement from oioesol?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 132 = -5*a - 4*z, -2*z - 136 = 5*a. Let n(m) = m + 27. Let t be n(a). Which is smaller: 43 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*j - 173 + 1738 = -60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**7\/18 - 41*r**6\/90 + 9*r**5\/20 + 389*r**4\/36 + 140*r**3\/9 - 8*r**2 + 92*r - 11. Suppose l(g) = 0. Calculate g.\nAnswer: -4, -1, 1\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 78*g - 75*g - 23, -5*y = 10. Suppose 15 = 5*q - 25. Calculate the least common multiple of q and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6429*c + 25702. Give x(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 0*z + 0*z**3 + 3*z**2 + 7\/5*z**5 + 0*z**4 + 7. Find the second derivative of a(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184052701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 2:17 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -79. Let g be ((600\/10)\/10)\/3. Suppose -3*t + g*f + f + 87 = 0, -a = -2*t - f. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 0, -137, -3.\nAnswer: -137, -3, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7 - 7 + r**2 + 5 + 16*r. Let l be y(-16). Let s be l\/(12\/8 + -3). Is s greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10004.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7409113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9103, -9155, -9217, -9295, -9395, -9523, -9685, -9887?\nAnswer: -10135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003551224 rounded to 7 decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) 2\/7 (b) 9 (c) -65 (d) 0.00721\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -22*v + 60. Suppose 0 = -2*l - v*l + 623. Does 40 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by 1.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1 + 1, -3*s + 6 = 4*o. Suppose o = 4*j + j - 100. Suppose -2*v - j = 2*v. What is the third biggest value in 3, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 867 divided by -289?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 - 156.432.\nAnswer: -225.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, m: 3, h: 2, u: 2, d: 2}. Give prob of sequence dhc.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2728*j + 2701*j + 999 = 0 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1077 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3080381726 to the power of 1\/3, to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkt when three letters picked without replacement from kkkktttbbbtkbt.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10169 or -5315?\nAnswer: -5315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 21*f + 54. What are the prime factors of b(8)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -193513, -387021, -580529, -774037, -967545, -1161053?\n\"Answer: -193508*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4665*v + 9445*v + 86040 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5757402?\nAnswer: 2, 3, 7, 19583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 26 - 2 = 0. Find the third derivative of 0*x**4 - 9*x**t + 9*x**2 + 0*x**4 wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100104 (base 8) to base 9\nAnswer: -50034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*f - 1188*f**2 + 278*f - 140*f - 1.\nAnswer: -1188*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 8:07 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 43 = -4*l + 27*b, 5*l + 14 = b + 31 + 42 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961 = 14*m - 103. What is the greatest common factor of m and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36096 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7066?\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1810 + 5234 - 16*y**2 - 1606 - 1818.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -23*q - 5. Calculate the lowest common multiple of i(-1) and 64.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0083178215 rounded to five decimal places?\nAnswer: 0.00832","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**2 - 63*d - 86. Let x(z) = -8*z**2 - 116*z - 84. Let m(o) = -4*l(o) + 3*x(o). Suppose m(b) = 0. What is b?\nAnswer: 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 4*l - 2*l)*(16*l + 71 - 71).\nAnswer: -32*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421827572?\nAnswer: 2, 105456893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = -4*p + 5, -2*p = -5*n + 5. Suppose -12 = 5*f + 3*x, -8*f - 8 = -n*f + 2*x. Solve f = 2*m - 7*m - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 244.6, -142, 0.8 in ascending order.\nAnswer: -142, -1\/5, 0.8, 244.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 3\/8 (b) 1\/8 (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 3:34 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34.2 * 0.04.\nAnswer: -1.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 509 - 508.7. Put -0.3, u, -129\/2 in decreasing order.\nAnswer: u, -0.3, -129\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -74, -2, 1\/5 in increasing order.\nAnswer: -74, -2, 1\/5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-48.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/5 and 37\/3359?\nAnswer: 16795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 + j**2)*(1044 - 4*j**3 + 38*j - 1044).\nAnswer: -4*j**5 + 38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145524223, -145524224, -145524225, -145524226?\n\"Answer: -n - 145524222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1306398.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 22*j**2 - 12*j. Let d(u) be the second derivative of -2*u + 0 + 3\/4*u**4 - 5\/6*u**3 + 0*u**2. Let m = 13 + -25. Give m*d(o) + 5*y(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - 5*1*sqrt(176))\/((-2*sqrt(96) - sqrt(96) - sqrt(96))\/sqrt(12)))\/((3*sqrt(242) - sqrt(242)) + -6*sqrt(16)\/sqrt(8)).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 414?\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28037608 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -485, -915, -1283, -1595, -1857?\n\"Answer: -h**3 + 37*h**2 - 534*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5891125 to the nearest integer?\nAnswer: 2427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 1 - 3*r + 3*r. Let q be v(5). Is (37 - -2)*(-4)\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(5\/2)*s))\/((s**(3\/8)\/s*s)\/s))**43 assuming s is positive.\nAnswer: s**(-989\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 770 in -2\/15, -3, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 53, 63, 85, 125, 189?\n\"Answer: w**3 + 3*w + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 14 + 39)*(5 + 2*w - 5)*(-5*w + 2*w + w) in the form x + q*w**2 + f*w and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-310 - -289)\/(-2 + -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d + 11. Calculate u(-5).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38633 and 221.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -3.2. Let l = y - -3.3. Which is the second biggest value? (a) 0.2 (b) l (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 27 = -0*w - w, 2*r = -5*w + 119. What is the greatest common divisor of w and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34422 in 6, 326, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 6) + 2 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67890 divided by 2190.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*5*2 - -5*sqrt(75)\/sqrt(5))\/((sqrt(55) + sqrt(3520)*3)\/sqrt(11)*5).\nAnswer: 3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 1, -140, -5 in ascending order.\nAnswer: -140, -23, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(4\/11)*w)*w))**(-47)*((w\/(w*w**(-16)*w*w*w))\/w*w)**(-2\/87) assuming w is positive.\nAnswer: w**(-28909\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35653?\nAnswer: 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(5) + -4*sqrt(5) - sqrt(5)).\nAnswer: 3 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 26. Suppose -1308 = 2*y - o*y. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 977*n + 1. Let d be o(1). Suppose -15*x - d = -21*x. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -41*a**2 - 3081*a + 2638. Determine x(-76).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010100000111 (base 2) to base 4.\nAnswer: -2110013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 9:02 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 1323*s - 1325*s + 3, 5*s = 4*p + 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -146. Calculate the remainder when s is divided by (-3)\/1 - (3 + -24).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 - (6 - (-10)\/(-5)). Suppose 14*o - r*o = -18. What is the common denominator of -37\/24 and (-25)\/o*(-38)\/(-330)*3?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4*t = -t + 2, -3*t - 6 = 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from wjgjwjgff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2 = -4. Calculate the remainder when d is divided by 6\/(-18)*(-11 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q - 4*q - 5*q + 4*q. Suppose 17*k + 17 + 0 = 0. Let w(x) = -x. Give k*t(h) + 10*w(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -172*k**5 + 63*k**5 + 67*k**5 - k**5 - k**5 + k**5 + (2*k + 7*k**2 - 2*k)*(k**3 - 2*k**2 + 2*k**2).\nAnswer: -36*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64184292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21132 + 3*q**2 - q**2 - 21132 - 4*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69550.\nAnswer: 2, 5, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 6 - 4\/10*-5. Suppose 0 = -47*y + 42*y + 45. Solve y*m - 4*m + k = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/8)\/((-7)\/2*1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 1 = -15. Suppose 0 = 3*c + x*s - 6, -s + 3 + 4 = -2*c. Let b(v) = -4*v - 1. Let g(u) = u. Let t(n) = 2*b(n) + 7*g(n). Give t(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174143791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {c: 1, u: 3, i: 1, h: 1, y: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:16 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 12, 5*v = -0*o + 3*o + 411. Let n be (1 + 0)\/((-7)\/v). Is 25 a factor of ((-150)\/12)\/(2\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 269731.\nAnswer: 4\/269731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 7. Calculate the remainder when b is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 12:58 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**4 - 4258*m**3 + 59*m**2 + 9847437*m.\nAnswer: -60*m**2 - 25548*m + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 v when three letters picked without replacement from vcvvcv?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*f - 39 = -178*f. Suppose 0*y + 6 = -l - 5*y, 4*y = 4*l - 24. Put l, 1, f in decreasing order.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v**2 - 4*v - 5. Let y(g) = -2 + 349*g**2 + 3 - 347*g**2 + g. Determine 2*i(c) + 11*y(c).\nAnswer: 2*c**2 + 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x - 33904 = -34111 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 19*r**2 - 19*r - 11. Let f(v) = -v**3 - 10*v**2 - 10*v - 6. Let g(b) = -5*f(b) + 3*k(b). Give g(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 2618*r**2 + 682585*r - 679966.\nAnswer: -(r - 238)*(r - 1)*(r + 2857)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 28 = 2*d, -4*d + 24550 = 4*z + 24546 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by -7?\nAnswer: -139\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + -0.1. Let h = -1\/28 - -61\/140. What is the closest to h in w, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28566508, 57133025, 85699542, 114266059?\n\"Answer: 28566517*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72272340 by 8394.\nAnswer: -8610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70363 - -3?\nAnswer: 70366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 28*i - 94. What is r(-25)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s - 2. Put s, 4, 0 in descending order.\nAnswer: 4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 5983 = -1121. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*x + 373 = 5*y + 109*x, 4*y + 6*x = 326. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3092 is divided by 635.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -8)*(-2)\/4 + -2. Which is the closest to 3? (a) j (b) -3\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 143 - 9321?\nAnswer: -9178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -33. Let m(y) = y - 8. Let a be m(7). Sort -4, u, a in ascending order.\nAnswer: -4, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 380\/285*((-9)\/9)\/((-10)\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 25468*n - 50881. Determine j(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h = 14*h - 19258 + 19134. Sort 595, h, -4 in decreasing order.\nAnswer: 595, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-100)*-5*567\/6. Is -39 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/396 and 113851\/237468 - (1 - ((-8)\/3)\/(-4)).\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -19, -10, 19, 74, 161?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48013?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + 13210132131?\nAnswer: 13210132223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a factor of 1766571422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 567?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2))**(-14\/13)\/((a*a**(4\/7))\/a)**4 assuming a is positive.\nAnswer: a**(-257\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/257 - -251\/771. Let z be (-18)\/(-32)*8\/6. What is the closest to s in -1, 5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 28*o**2 - 71*o + 108. What is t(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 827231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 4508?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 84*z**2 + 162*z + 82. What is n(-40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/14 - 3 - -1. Let n = 4.2 + 0.8. What is the nearest to -2\/11 in n, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 2*j**2\/5 - 384*j\/5 + 2646 = 0.\nAnswer: 45, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -11. Let t = 23 - 24. Sort 0.2, j, t in increasing order.\nAnswer: t, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 39*a**2\/2 - 66*a + 33. What is the units digit of b(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 30*k**2 - 3. Let h(m) = 19*m. Give h(z(w)).\nAnswer: 570*w**2 - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + 0 - -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 162*k - 1757. What is o(12)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -132264\nAnswer: 396792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 29*h + 232. Let k(x) = -19*x - 1. What is 3*k(c) + s(c)?\nAnswer: -28*c + 229","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -0.3, -4.3, 5, 79?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 t when three letters picked without replacement from naatjjttatnaia?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.625658 decades in months?\nAnswer: 795.07896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -7 + -2 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:40 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1430 - -1431. Let c = -0.6 + -2.4. Sort -15, -4, c, i.\nAnswer: -15, -4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a week in seconds?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2 (c) 7 (d) 0.5 (e) -151\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 30026*x\/5 - 60044\/5.\nAnswer: -2*(x + 2)*(x + 15011)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -11. Factor -4*a**3 + 4*a**s + a**2 + a**3.\nAnswer: a**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5982096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1078 and 686.\nAnswer: 7546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*x + 32, 112 = l - 4*l + 2*x. Let t be l\/10*2\/(-4). Find the second derivative of -11*s**t - s + 17*s - 7*s wrt s.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:10 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 16 + 1)*(-20*v**2 + 24 - 24) + 4*v**2 + 0*v**2 - v**2 + (3*v - v + 0*v)*(2 + 2*v - 2) to the form j*v + b + q*v**2 and give q.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53173.\nAnswer: 53173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -150316 in descending order.\nAnswer: 5, 0, -150316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -p - 43. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/90 + 109148\/18. Suppose -14*c = -l + 170. List the prime factors of c.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, -85\/9, 0, 1\/9.\nAnswer: -85\/9, -5, -2\/11, 0, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45864857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -587 + 285. Let h = f + 302.614. What is h rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1505062, 1505039, 1505016?\n\"Answer: -23*i + 1505085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + v - 3 - 8 - 75 to j*v + f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -92 + 0\/1 + 1\/(-1). Let v(g) = g**3 - 14*g**2 + 4*g - 4. Let z be v(3). Let b = z - l. Which is greater: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in -6.3, 5, 3\/8, -2, 1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 g when four letters picked without replacement from {p: 1, g: 4, w: 4, j: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (0 + 22 - (-647 - -650))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0*g)\/g)**(-32)*g**(-1\/6)\/((g**(-4\/3)\/g*g*g)\/g))**(-1\/3) assuming g is positive.\nAnswer: g**(-7\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -152597*y + 305176. Determine h(2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/1*278)\/(-2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -36933*r**3 - 38359 wrt r.\nAnswer: -110799*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/11765?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10307 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 4*j**4 + j**4 + (-4*j**2 - 2*j**4 + 4*j**2)*(4 - 3 + 3) - 4*j**4 - j**4 + 3*j**4.\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {x: 4, a: 4, r: 1, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*b - 654*b - 1672 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -438*x**2 - 98*x**2 + 52*x**2.\nAnswer: -484*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26745811*b**2 - b + 2427030?\nAnswer: 53491622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/155*(-1 + 0 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 12 = 2*l, -3*r - 40*l + 8 = -39*l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10689 or -11113?\nAnswer: -11113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f - 23. Let z be b(-4). Let t(n) = n**3 - 5*n**2 - n + 2. Determine t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 494000 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 1 + 4)*(-8979 + 8979 + 100*d) as l*d + j and give l.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k - 38. Let f be ((-2)\/12*-3)\/(1\/(-32)). Let q be x(f). Differentiate -q*d**4 - 1592*d + 28 + 1592*d with respect to d.\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 24*j - 15*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**0)\/b*b)\/(b*((b*b**8\/b)\/b)\/b))\/((b\/(b*b**(1\/19)*b*b))\/b*b**(-20\/3)\/b) assuming b is positive.\nAnswer: b**(326\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/55 - 3406\/(-22). Are k and 156 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-539)\/12 - (-4)\/6. Let s be -2 - ((-4)\/5 + 7599\/(-170)). Let c = s + o. What is the common denominator of c and 17\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(16\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 686113 and 12167.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*1 - sqrt(91)) + sqrt(91))*-2)\/(-2*sqrt(1008)).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*c + 2589, 0*x = x - 2*c - 2613. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 5*s. Let b be 17\/(-17) + 5*1. Let d be m(b). Sort -15, -5, d in decreasing order.\nAnswer: d, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*l + 119 = 0, -w = -0*l - l - 35. Suppose 35*q + 88 = w*q. What is the remainder when 131 is divided by q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1870)\/(-85))\/(7\/14).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1307.6299888 - 1307.23. Let g = h + -0.4. What is g rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.8 - -0.8. Let p = k + 2.9. What is the third smallest value in -0.5, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*d - 10, -5*d - 4*p + 13 = 3. Let m be (d - 2) + 2 + (-7)\/5. What is the third smallest value in 0.1, m, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 89 - 83 = -6*x, 0 = -2*k + 4*x + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*3*3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**5\/30 + 3*x**2 + 23*x. Let z(o) = 65*o**2. What is u(z(t))?\nAnswer: -8450*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -217, -1, 756 in ascending order.\nAnswer: -217, -1, 756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + -7 + 11 + -8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1556876, -1556877, -1556878, -1556879, -1556880, -1556881?\n\"Answer: -t - 1556875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 6*r + 13. Let f(m) = -2*m**2 - 13*m - 27. Let n be (-1)\/3 + (-2 - (-8)\/(-12)). Let s(c) = n*f(c) - 5*q(c). Calculate s(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 6*w**2 + 208*w + 232. Calculate i(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-20)\/16) - -1. Let s(y) = 20*y - 26. Let q(o) = -4*o + 5. Let a(h) = l*s(h) - 16*q(h). Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 0 + 1 - (-15 - -48 - 33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:47 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 112, 167, 222, 277, 332?\nAnswer: 387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3383, -6780, -10179, -13580, -16983, -20388, -23795?\nAnswer: -27204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8700845 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 2, i: 3, x: 2, s: 2, k: 4}. What is prob of picking 1 x and 1 i?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 30054?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 290.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 101100011001110001001001?\nAnswer: -101100011001110001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8952? (a) 0.1 (b) 5 (c) 4 (d) -32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Suppose -2*p + 8 = 4*o - q*p, -5*o = -4*p - 10. Solve 2*z + o*s - 5 = -3, -4*z + 3 = 3*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -522*l + 110660. What is w(212)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31449414091 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53644 is divided by 8938.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5359.00629954 + -5359.4863. Let v = -0.48 - u. What is v rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000205336 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-4)*(2 + 0). Suppose o - 42 = -d. Suppose 0 = p - 6*p + o. What is the highest common divisor of p and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2576 or 2020?\nAnswer: 2020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -18611000 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2287476.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)\/d**15 assuming d is positive.\nAnswer: d**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 107*t - 2127. Give j(-81).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/115 - 4\/23. Which is the nearest to 1\/5? (a) 1 (b) i (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 54. Let s be d(-10). What is the highest common factor of s and 2414?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085.94 micrometers in kilometers?\nAnswer: 0.00000108594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, r: 1, u: 1, x: 2, m: 2}. Give prob of sequence xxmr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 + 13*v + 8. Let f be w(-8). Let h = 10 - f. Is (h\/6)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100048905, 200097809, 300146713, 400195617, 500244521, 600293425?\nAnswer: 700342329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42859891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (388\/(-2522))\/((-10)\/20)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h**3 - 20*h**2 - h + 25. What is x(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05105 + 0.35105. Sort q, 8, 1, 0.1, -1\/4 in decreasing order.\nAnswer: 8, 1, q, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 7. Let o(d) = d**2 - d + 2. Let r be o(w). Let a = r + -6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 26415459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 28 = 34. Solve -4*g - 16 = 0, -12 = -2*b - n*b + 2*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2828 = -822*g + 620*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191826\/306 + (-4)\/102*-3 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 + -895. Let t = c - -759. Let z(v) = -4*v**3 + 3*v**2 - v + 1. What is z(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -116, -219, -390, -629, -936, -1311?\n\"Answer: -34*m**2 - m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.052 (b) -5 (c) 1\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -5*w**3 - 3*w**2 - 8*w + 1. Let f(d) = 8*d**3 + 5*d**2 + 16*d - 1. Let y(r) = 3*f(r) + 5*n(r). Calculate y(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/8, 11, 27, 8\/3, 5, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*n + 10 - 0, n = -4*i - 5. What is the nearest to i in 2, 0.7, 9?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**5 + 68*t**4 + 4*t**3 - 136*t**2 - 2*t + 68 = 0 for t.\nAnswer: -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1483440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1292*t + 3723. What is the units digit of f(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**3 - 2*l**2 - l + 8. Let q be p(4). Let k = 221 + q. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 5*m - 989. Suppose 0 = 4*h + 9*y - 12, -5*y + 7 + 2 = 3*h. Suppose -h*s - 3*f = -207, 5*s - 501 + m = 3*f. List the prime factors of s.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + (21 - (-41 + 125))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**3 - 5*f**3 - 27506*f + 55011*f - 9*f**3 - 27505*f.\nAnswer: -24*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:54 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 795564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -16*m**3 + 3*m**2 - m - 2. Let r(o) = 2*o**2 - 9*o - 7. What is the remainder when r(7) is divided by i(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cwzcvrr. Give prob of picking 1 c and 1 r.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1068\/3276 + 4\/(-42)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 102501*a**2*v - 236886*a**2 + a*v**2 with respect to v.\nAnswer: 102501*a**2 + 2*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 1665 + 5205 = 0. What is the remainder when o is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 + 148. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 0.442 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -6*q - 2*q. Solve -q*m - 2*m = 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1473843 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 484.853 to the nearest integer.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/7)\/(-2)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 at least as big as -90692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 11. Suppose 4*s + j - 13 = m, -4*s = -4*j - 6 - 22. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q**2 + 2. Let l be n(-3). Let h(x) = 1656*x - 16. Let v be h(l). Round v to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/912*38\/(-114).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -18*v**2 - 5*v + 36. Differentiate q(t) with respect to t.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 2*c**2 - 56*c + 68. Calculate t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + -1)\/((-7)\/(-1)). Let o = -0.047 + 0.547. Which is the closest to o? (a) -1 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 2*t**2 + t + 2. Let j be l(-3). Let q = j + 50. Solve 1 = v - q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3 - o**3 + 2109*o**4 + 736 - 1023*o**4 - 1046*o**4 with respect to o.\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t**2 - 6*t + 2. Let m(v) = 3*v**2 + 6*v - 1. Let z(h) = -3*m(h) - 2*q(h). Let a be z(-5). Let g = -2 + a. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 770 and 2680757207?\nAnswer: 2680756437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149221.\nAnswer: 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 15*m - 1. Let v(z) = 11*z + 9*z - 25*z + 4*z. Determine v(l(y)).\nAnswer: -15*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1175986\/(-70) - (-2)\/(-10). Let f be (d\/(-5))\/((-1)\/21250). Round f to the nearest 1000000.\nAnswer: -71000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + q + 0*q - 14 - 13*q. Is i(-7) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2872972463 to the nearest integer?\nAnswer: 53600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 22*u + 63 = 0. Let d = -26 + u. Let p(q) = -4*q - 10. Let i be p(d). Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 10:12 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*z = 12, 5*b + 2*z = -z - 12. Suppose -4*d + 2*d = b. Suppose 3*f + d*f - 90 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-16734858.\nAnswer: -6693943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + 0)*354*4\/8?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/65 and 14\/5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 - 10*n + 3. Let d be w(3). Let k = -0.3 - -0.8. Which is the second biggest value? (a) k (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4744 * -0.08\nAnswer: -0.117952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82 + -82. Suppose 9 = -3*o - 3*r, -r = 2*o - 0*r + 1. Solve -o*n - n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let o be r(1). Let c(k) be the third derivative of 7*k**5\/20 - k**4\/8 + k**3\/3 + 6*k**2. Is c(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f - 2*b + 75 = -18*f + 12, 1100*f - 161 = 1096*f - 5*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -110*m - 1118. What is q(-6)?\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbqpbpbq. Give prob of picking 2 p.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96 + 15*w**3 + 5*w**2 - w**2 - 98 + w + 2*w**4 to the form l*w + m*w**3 + c + k*w**4 + y*w**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41222891*h**2 - 32462038 with respect to h.\nAnswer: -82445782*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 12:39 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 419186 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -7945*c**2 + 762730*c - 960 = 0. What is c?\nAnswer: 2\/1589, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17654, -35312, -52964, -70610?\nAnswer: -88250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -1600945.\nAnswer: 6\/1600945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 88, -4, 23, 26.5, -1\/4 in descending order.\nAnswer: 88, 26.5, 23, -1\/4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.15195 days to microseconds.\nAnswer: 3555528480000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 26*o**2 + 18*o - 8. Let r(z) = 53*z**2 + 35*z - 15. Let a(f) = 3*r(f) - 5*s(f). Is a(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13 = 10*c - 5*c, 0 = -c - 2*j - 1. Let t = -525\/3497 - 1\/269. Put c, -3, t in increasing order.\nAnswer: -3, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 691.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2185\/(-57))\/23)\/(1\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 217*p - 3744. Determine h(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 523375 or 523384?\nAnswer: 523375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 453.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 k, and 1 p when three letters picked without replacement from {m: 5, c: 1, k: 6, p: 7}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 1:52 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y**3 + 0*y**2 - 138\/5*y**5 + 52*y - 108 + 0*y**4. What is the derivative of c(v) wrt v?\nAnswer: -552*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4773 a factor of 1017937710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1189)\/(-29) - (-340)\/(-34)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58784*j**3 - 58663*j**3 + 117446*j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.78 plus -0.1879?\nAnswer: -0.9679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/4 - -5\/4. Let j = 76 + -76. Which is the nearest to j? (a) z (b) 3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a + 0?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7.695 or 1?\nAnswer: 7.695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 593726.2nm in micrometers?\nAnswer: 593.7262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -16. Let d(b) = -b**2 + 8*b - 11. Let s be d(p). Is 2\/6*-6*(-38)\/s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20781880657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aasp. Give prob of picking 1 p and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*f + 260. Let a = f - -74. Let y(r) = r**2 - 19*r + 26. Calculate the remainder when a is divided by y(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17702 divided by 334\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.443 rounded to 2 decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57642 is divided by 2400?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 25 = -8*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44 + -114. Let h = 37.5 - 90. Let d = h - t. What is d rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 218702 or 218891?\nAnswer: 218891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:33 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r + 6. Let f be t(13). Let s = f + 48. What is the highest common factor of 60 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 115. Suppose -1014 - w = 5*p. Let g = -124 - p. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*v + 16, v + 4 = 2*v - h. Suppose 3*r = -v*r + 510. Does 34 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2\/4*(-30)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + u**2 - 2*u**2)*(0 + 0 - u) - 2521*u**2 - 4*u**3 + 1261*u**2 + 1278*u**2 - 2*u.\nAnswer: -5*u**3 + 18*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 31*g = 3*b - 66465, -g = -3*b - 22175. Is g a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21231408 a multiple of 237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 divided by 3428.\nAnswer: 73\/3428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 374318401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2952.975127 - -2953. What is o rounded to 4 decimal places?\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6*t = -t - 3, 2*v - 4*t - 76 = 0. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - 343212022234?\nAnswer: -343212022301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 4*i**2 + 0*i**2)*(i**3 + 1 - 1) + (-1473248 + 1473248 - 3166*i)*(-4*i + 4*i - i**4).\nAnswer: 3168*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4, s + 7*b - 6437 = 3*b. Suppose 0 = a + 2, s = 6*d - d + 2*a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-51)\/170)\/(3\/(-30)). Suppose -d - 16 = -4*l, -n*d - 4*l + 11 = -21. Let b = -9 - -15. What is the greatest common factor of b and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqenuqnnnqunqu. What is prob of sequence iq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 7*x**3 - 4*x**2 - 2*x**3 - x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10490c6 (base 13) to base 16.\nAnswer: 4bb2dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 0.9908, -5 in ascending order.\nAnswer: -5, 0.9908, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -5*i, 0 = t + 3*i + 4 - 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/2*219\/30*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**2 + 4*r - 6. Let u be a(2). Let s = 61 - -21. Let l = -43 + s. What is the greatest common divisor of u and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16175.\nAnswer: 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 224 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:12 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -23. Let k(l) = -5*l**2 - 4*l + 4. Let h(p) = 4*p**2 + p - 5*p**2 - 1 + 0 + 2*p**2. Let a(g) = n*h(g) + k(g). Factor a(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a millennium in months?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*t + 8, 4*t + 4 = g + 6*t. Let o = 80 + -81. Sort g, 0, o, -37 in descending order.\nAnswer: 0, o, g, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d + 57*d**2 + 0*d**3 - 58*d**2 - 2*d**4 + 0*d**3 as q + k*d**3 + w*d**2 + h*d**4 + u*d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65 by -14144.\nAnswer: -5\/1088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) + 6\/(-4). Let o be s + 3 + 6 + -4. Suppose -2*q = 2*p - 0*p - 102, -q + o*p = -41. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 22*i**2 - 28*i + 15. Let h(k) = -2*k**3 - 23*k**2 + 29*k - 16. Let l(y) = -3*g(y) - 2*h(y). What is the hundreds digit of l(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 6*s + 1. What is the remainder when v(5) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 195, 132, 13, -180, -465, -860, -1383?\nAnswer: -2052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -491 and 3302.\nAnswer: -1621282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3594, -7192, -10802, -14430, -18082?\n\"Answer: -q**3 - 3591*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 168 = 4*q + 4*u, 0 = 5*q + 2*u - 198. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21.0995 + 0.0005. Let q = -18 + s. Let v = -2.8 + q. Which is the second smallest value? (a) v (b) 0.2 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1543501.\nAnswer: 4630503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -18\/5, 4, 10\/9, -0.2?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/(-6)*6\/(-10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*b - z - 4, 0 = -3*b - 4*z - 16. Suppose 40 + b = 5*r. What is the least common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**4 - 7*u**2 + 16*u**4 - 7*u**4 - 3*u**4 - 11 to the form w*u**4 + l + f*u**3 + c*u**2 + x*u and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10\/1 - (-13 + 13) and (48\/(-10))\/(18\/(-60))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (32 + -19)) + -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(2106\/(-36)))\/(2*7\/(-294))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5*x + 8, 5*x + 38 = 5*g + x. Let b(j) = g*j**2 - 2*j**2 + 2 + 3*j**2 + j**3 + 6*j. Calculate the remainder when 4 is divided by b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/10 - ((-43548)\/60 - 11) is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 11*g**2 + 5*g - 44. Let j be u(-10). Let m(f) = -2*f**2 + f. Let o(k) = -5*k**2 + 3*k. Let h(a) = j*m(a) - 3*o(a). Factor h(q).\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2533528534 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*((-168)\/(-80))\/(-7)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57, 118, -0.2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -16.5. Put 1\/23, t, -2, 0.2 in increasing order.\nAnswer: -2, t, 1\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 530769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 206, 211, 218, 227, 238, 251?\n\"Answer: f**2 + 2*f + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o. Let q be u(-5). Let j = 1 - 1. Suppose j*g + q*g = 65. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*v - 7 = -1, 0 = 3*v + 9. List the prime factors of 78\/8*(-8)\/l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11421, 11431, 11447, 11469, 11497?\n\"Answer: 3*o**2 + o + 11417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 22922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 10:53 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.509047046031738 and -3?\nAnswer: 3.509047046031738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -24*u + 26*u. What is the third biggest value in -5, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 866 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.28404 (b) -19 (c) -4 (d) 4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.026 - -0.036. Let y be (-4)\/14 - (54\/7 - 4). Which is the biggest value? (a) 1 (b) y (c) h (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((130\/80)\/13)\/(6\/24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = f + 5*n + 4, f - 3 = -3*n. Suppose 2*p + 4*g = f, p = 5*p + 2*g - 6. Suppose p*t + 44 = 2*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 + 103. What is the lowest common multiple of (201\/j - 1)\/(3\/(-30)) and 2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4470, 3, 9 in decreasing order.\nAnswer: 9, 3, -4470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16244205 + 2?\nAnswer: -16244203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -45, -53, -63?\n\"Answer: -s**2 - 3*s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3)*3)\/1. Let c(k) be the third derivative of -k**6\/30 - k**5\/20 - k**4\/12 - k**3\/6 + 6*k**2. Calculate the remainder when c(y) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (63*l + 32 - 32)*(11*l + 45*l - 8*l) + (0 - 1 - 1)*(-2*l - 4*l**2 + 2*l) to the form w*l**2 + a*l + t and give w.\nAnswer: 3032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 5. Let t be k(-5). Suppose 0 = -4*z + j + 20, 4*z - j - t = j. Put 3, -4, z in increasing order.\nAnswer: -4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 11. Let q be s(-8). Suppose -3*u - q*i + 17005 = -12689, 29690 = 3*u + 5*i. Suppose -h + 4*h = -u. What is h rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -17*g**3\/3 - 5*g**2\/2 - 121. Let y(r) = -4*r**2 - r. What is 6*w(i) - 26*y(i)?\nAnswer: 2*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, y: 11, o: 1, f: 3}. What is prob of sequence oddy?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-1 - 2*t + 1) + 2*t + 0*t + t + 0*t - 31 + 2*t + 41 to the form x + g*t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55 - -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 20, 0, -51, -1.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179988 by 159.\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -220053, -440105, -660157, -880209, -1100261, -1320313?\n\"Answer: -220052*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -5*r + 28, -d + r = 4*d + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 35839+-2\nAnswer: 35837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 4. Calculate n(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*d = -7*k + 818, -5*k + 1025 = -2*d. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-90)\/150*1\/(-27). Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 + -20)\/(4\/18). Let n(f) = h*f**2 - 7*f + 8*f - 1 - 2*f**2. Let p be n(1). Solve -p*c = -2*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**4 - 9*d + 3. Let u(r) = -3*r**4 - r**2 - 9*r + 3. Let a(l) = -4*n(l) + 5*u(l). Find the second derivative of a(b) wrt b.\nAnswer: 12*b**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(-1)\/(-4)*310\/55 and ((-59)\/5)\/((-6)\/(-5))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23948 + 31817. Is 43 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/73 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9611*b - 3. Let o(t) = 9684*t + 2. Determine 3*o(x) + 2*y(x).\nAnswer: 9830*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, t: 3}. Give prob of picking 1 t and 1 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 22331*h**3*p - h**2*p - 2*h**2 - 164*h*p + 9*p wrt h?\nAnswer: -120*h**2 - 133986*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhgg. What is prob of picking 2 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -231*s - 1765. Calculate the smallest common multiple of t(-10) and 13.\nAnswer: 7085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2.607\nAnswer: 5.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-3620)\/(-30). Suppose d = 4*w - w. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002057539959 to six dps.\nAnswer: 0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*w - 12*w + 19*w - 16*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 10*j**2 + 3. Let t be y(-10). Suppose k = -4*h + 36, -3 + 30 = t*h - 5*k. Let x(q) = -34*q. What is the remainder when x(-1) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1754, -5, 1\/2 in increasing order.\nAnswer: -5, 0.1754, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + sqrt(832) + (sqrt(832)*-1*-6 - sqrt(832)) - (-1*sqrt(832) + sqrt(832))*-3) + 3)*-5.\nAnswer: -280*sqrt(13) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) -2 (b) 0.3 (c) 8 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 + 2*f**3)*(80 - 142 - 16848*f + 16769*f + 106).\nAnswer: -79*f**4 + 44*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 72864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**3 - l**2 - l. Let h(j) = j**3. Let d(y) = 6*h(y) - i(y). Let a be d(-1). Differentiate 3*o**2 - 2 - 2*o**2 - 2*o**a with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 0, 5*v - 4*j - 16 = 4. Suppose 2*d = -0*d + v. Put -4, d, 3 in descending order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 12) in base 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 524994\/10835 - 533\/11. Let f = a + -36436\/8865. What is the common denominator of (-74)\/(-15)*(-9)\/6 and f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49\/72 - -1\/18. What is the common denominator of ((-26)\/182)\/(50\/(-54) - -1) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 809284601 + -809284624.99999967. Let x = 21.3 + 2.7. Let d = x + a. Round d to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 3.016?\nAnswer: 0.6032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/8 - 1\/(-28). Let n(s) = s**2 - 7*s - 8. Let u be n(8). Let b = u + 2. What is the closest to b in c, -0.2, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((3\/2)\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let c = 78 + -53. Suppose 4*w = -w - c. Sort -2, w, z in decreasing order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Suppose 3*s - d = -12, -2*s + 2*d = f*d. Let j = -1249 - -1244. Put s, 6, j in decreasing order.\nAnswer: 6, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 13 + 2 + -1 + (305 - 305)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -j + 28, 4*j + c - 76 = -c. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - 15)*(17 - 67). Calculate the highest common divisor of 150 and p.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*o**2 - 122*o**2 + 1 - 1.\nAnswer: -145*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 10*p + 9. Suppose 11 - 5 = p*a. Suppose 0 = a*w - 3232 + 606. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45781?\nAnswer: 17, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 - -1202043?\nAnswer: 1202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/100 and 57\/5650?\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/(-11)*((-23)\/(3381\/70))\/(8\/(-12)).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 + 4*n**2 + 4*n - 4. Let p(l) = -14*l**3 + 21*l**2 + 21*l - 21. Let m(t) = 2*t**3 + 14*t**2 - 4. Let r be m(-7). Calculate r*p(y) + 21*h(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4 = -16. Suppose y*l - 74 = -20. What are the prime factors of 27\/l*(0 + 14)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3421 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/1452)\/(1\/(-8))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 208492898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-12)*(2055\/300 + -7)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**4\/4 + 2*u**3\/3 - 5*u**2 - 6*u + 67. What is the units digit of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6896\/3039 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6258?\nAnswer: 2, 3, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*f, 0 = 3*n + 4*f + 4 - 1. Let v be (1 - 48\/n)*-1. Suppose -4*w + 71 = v. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1127 millilitres in litres?\nAnswer: 0.0041127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3802\/5 in -1\/3, -15, -17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228449592 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63350*n**5 + 8*n + 220?\nAnswer: -1267000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 22475496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i**5 + 1158*i**4 + 42421*i**3 + 490280*i**2 + 312884*i + 51376 = 0.\nAnswer: -76, -26, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/64)\/((-2)\/(-8))*-4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l - 15. Is h(-8) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtiixttx. Give prob of sequence ttxt.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 12*n**2 + 30*n - 3. Determine s(14).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**5\/30 + 7*f**3\/6 - 21010*f**2. Let a(d) = -d + 9. Let v(m) = -2. Let r(c) = -2*a(c) - 9*v(c). What is h(r(p))?\nAnswer: -8*p**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**5 - 3*l**4 - 7*l**2. Let c(r) = r**5 + r**4. Let p(y) = 3*c(y) + u(y). Find the third derivative of p(d) wrt d.\nAnswer: 300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -164 - -144. Does m = -81\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 5, -15 in decreasing order.\nAnswer: 5, 2, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -3, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 101*t + 19. Let y(k) = 84*k + 16. Let g(s) = -5*x(s) + 6*y(s). Let h(n) = -10*n + 4. Determine -8*g(m) + h(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39278?\nAnswer: 2, 41, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r**2 - 9*r + 18. Calculate the remainder when 1 - (-90 + 2 + -4) is divided by q(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 182*g - 1386. Give z(9).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186583397 to the nearest integer?\nAnswer: 13660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1)))**(-40)*((j\/(j*(j*(((j**(3\/7)*j)\/j*j)\/j)\/j*j)\/j)*j)\/j)**(-3) assuming j is positive.\nAnswer: j**(-271\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubw when three letters picked without replacement from {d: 1, u: 2, b: 4, y: 4, w: 1, p: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = m - 168, 677 = -4*m + 3*v + 1377. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 509790 and 120?\nAnswer: 2039160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 13. Suppose 0*d = -d + g. Let y be d\/9*9\/(-6). Which is the third smallest value? (a) -5 (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 12238464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z**2 - z + 6. Let c = -40 - -9. Let j = c + 33. Let g(u) = -30 + 0*u**j + u**2 + 29. Calculate -5*g(s) - n(s).\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*x**2 + 622*x - 1242*x + 1 + 322*x**2 + 617*x.\nAnswer: 51*x**2 - 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17024080573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 = 4*t. Let q(d) be the first derivative of 3*d**2\/2 - d - 8. Let u be q(t). Solve 10 = u*g, -g + 40 = 5*z + 2*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(72) + (sqrt(304) - sqrt(19))*-4)**2.\nAnswer: 23275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - 10*q**2 + 10*q + 2. Let s(n) = 49*n**3 + 44*n**3 - n**2 + n - 92*n**3. Let d(r) = -c(r) + 5*s(r). Suppose 4*t - 7 - 9 = 0. What is d(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*l - 6, -3*l + 2*i + 10 = -l. Suppose 43 - l = -4*n. Let q be (-25)\/n + (-4)\/(-18). Solve -q*g = 5*w - 22, 2*g - w = -2*w + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q - 14*q + 19*q**2 + 22*q.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -125236*0.02\nAnswer: -2504.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73472 + 67258 = -478*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5001522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) 2385 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/93106 and 41\/22?\nAnswer: 1024166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/16 and -79\/458?\nAnswer: 3664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {e: 8, r: 3, t: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911720957.\nAnswer: 7, 130245851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1904 and 12019.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11872 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: What is the square root of 17426568 to the nearest integer?\nAnswer: 4175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -16852800 divided by 7?\nAnswer: -16852800\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 + 2 = 0. Let s(i) be the second derivative of i**4 + i**3\/3 + i**2\/2 - 3*i. What are the prime factors of s(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**5\/60 - b**4\/12 + b**3\/6 - b**2\/6 - 2*b + 2. Let i(k) be the first derivative of u(k). Factor i(j).\nAnswer: (j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0137038 rounded to 4 decimal places?\nAnswer: -0.0137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3635\/2088 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11002.\nAnswer: 2, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 134*u + 15*u**2 - 10*u**2 + 156*u.\nAnswer: u**2 + 290*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07117974765 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q + 1. Suppose -4*w + 24 = -w. Let f(k) = -2*k - 6. Let d be f(-4). Suppose -6*y - w = -d*y. Calculate v(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -69*o - 1. Let c(v) = 8944*v**2 - 1247*v - 12470. Let p(b) = -43*b**2 + 6*b + 60. Let i(l) = 6*c(l) + 1247*p(l). Give q(i(a)).\nAnswer: -2967*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150\/7 + 15\/7*i + 3\/7*i**2.\nAnswer: 3*(i - 5)*(i + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2682705, -2682704, -2682703?\nAnswer: -2682702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/3 - 12\/9. Let r be 66\/(-5)*(16 + -11). Let b = r + 67. Sort 4, q, b, -2 in decreasing order.\nAnswer: 4, q, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 10*f - 18. What is b(11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 3*q**2 + 0*q**3 + 4 + q + q. Let t be p(4). Let j be (-6)\/(-9) + t\/(-15). What is the second biggest value in j, -1\/11, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*v + 86 - 86)*(1 + 2 - 2)*(3*v + 2*v - v).\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o - 48. What is the least common multiple of 10 and f(16)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 1952230*x + 1952228 = 0.\nAnswer: 1, 976114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2 + 9. Suppose -16*a = -28*a - 24. Let x = a + q. What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 10:46 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -14652.4.\nAnswer: 14647.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47268699 a multiple of 1066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33039694, 33039695, 33039696?\nAnswer: 33039697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 + -45. Solve w*n - 14 = 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 10*m**5 - 2789*m**4 + 25484*m**3 + 307487*m**2 + 284676*m - 164628 = 0.\nAnswer: -6, -3\/2, 2\/5, 17, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -196.016875 - -292.0168573. Let n = f - 96. What is n rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = -33853*o + 33847*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1216931819, -1216931820, -1216931821?\nAnswer: -1216931822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3960.064 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 12*m**2 + 2. Let s be c(-12). Suppose -4*d + 64 = -0*a - 4*a, -s*d + 32 = -5*a. Factor d + 4*j**4 - 7*j**2 - 12 - j**2.\nAnswer: 4*(j - 1)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 - 4*p**4 + p**4)*(-19*p - 15*p + 15*p)*(-3 - 2 + 3).\nAnswer: -152*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, -139 in increasing order.\nAnswer: -139, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-12 - (-7 - -1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2754*z**2. Let y(b) = -80*b. What is y(d(u))?\nAnswer: -220320*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 - (2 + -6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + p + 82 = 0, 2*l + p = 70 - 7. What is the remainder when 56 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108744 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.1 - -18. Let f = -0.1 - x. What is the second biggest value in f, 1\/4, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5240 and 39562.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5255345.\nAnswer: 5, 1051069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-2 + (-40 - -2) + (-1 + 23 - 25)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -161.1 - -161. Let w = -27\/2 - -12. Let z = -7\/4 - w. What is the nearest to 1 in k, -3, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 2520?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*h = 5*h + 28*h + 6020 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (-1 + 34\/(-1)). Let d be (5\/2)\/(6\/z). Let y be 0 + (1 - 9\/d). What is the closest to y in -1, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 3, -5, 0.5, -46?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4 - 57076*h**3 + 251640288*h**2 - 235412801280*h - 479449404315648 = 0. What is h?\nAnswer: -923, 5064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 74603118.\nAnswer: 596824944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 5:03 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 30*c**2 + 159*c - 2367. What is t(-12)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**3 + 2*n**3 - 22*n**3 - 4*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2232 and 10968.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 - -67.6. Let i = 19.9 - s. What is i rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781210 to the power of 1\/2, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029007807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((6 - 6) + -8 + -2 + 7)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208929 is divided by 69638.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*(sqrt(275)*3 - sqrt(88)\/sqrt(200) - (5*2*sqrt(77))\/(-2*sqrt(28)\/sqrt(4) + sqrt(7))))**2.\nAnswer: 1984*sqrt(11)\/5 + 2706276\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*a - 6 = 0, 0 = 8*s - 3*s - 4*a - 10. Put -2, 1, -5, s in descending order.\nAnswer: s, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 1. Suppose -4 = -2*b, -5*l + b = t*b - 183. Calculate the highest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 74704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2214 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32\/240 - (-206)\/30. Let p be 2 + (1 + -2 - -2). Let d(q) = -q - q**p + 2 + q**2 + 7*q + 5*q**2. Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*175\/(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.09466 and 34.344.\nAnswer: 34.43866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 17. Suppose -6*r + 2*r = u - y, r - 15 = -3*u. Let k(l) = -l**3 - 9*l**2 + 9*l - 6. Let s be k(-10). Solve 2*j - 14 = u*n, -s*n - 9 = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 12*b + 21 + 27 in the form c + r*b and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 16) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43252100 is divided by 311166?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjhqcjhqhhhjjjzj. What is prob of picking 1 h, 1 q, and 2 c?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5, -3*d = -5*y + 2 - 3. Suppose -2 = 2*s - 3*r, d*r - 5*r + 12 = 3*s. Suppose 0*c = 2*c - s. Sort c, -3, 5 in descending order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -b + 4, 7*b + 4 = 5*b + 2*w. Put 3, -124, b in ascending order.\nAnswer: -124, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 31*a**2 - 64*a - 69. Let o be s(33). Is (12292\/(-6) + -4)\/(2\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -4*s + 29. Let x be o(6). Let d be -136 + 0 - (6 + -1). Let l = d + 143. Solve -2*z = -x*i - 13 - 7, -4*i = l*z - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and 109.\nAnswer: -8.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**3\/3 + 13094*t**2 - 314544*t + 1887840 = 0.\nAnswer: -19665, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 6*m**2 + m - 8. Let l be g(6). Let x = 6 + l. Solve -4*h - 10 = 5*n, -x*n - 2*h + 1 - 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b - 5. Let q be u(5). What is the third derivative of r**2 + q*r**2 + 4*r - 4*r - r**3 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*a - 5236 + 5185 = 0, -5*j = 3*a - 85 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + m**2 - 3*m**3 - m**4 + 3 + 2*m**4 in the form c*m + l*m**4 + p*m**2 + x*m**3 + n and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35052771 and 2769.\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -2)\/((11 - 4)\/(-7)). Solve 4*p + 5*w = -16, -5*p + 2*w + 20 - 7 = n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 7*u**2 + 7*u - 2. Determine h(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b**3 - 2*b**2 - 10*b - 3. Let q be x(-2). Which is smaller: 138 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321151 is divided by 1332.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*j - 21, 3*i + 5*j = 27 - 70. Let a be i\/((-19 - 18) + -5 + -1). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-2)*((-55)\/(-5))\/55*(-8)\/(-413).\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-32)\/56 + (-4631922)\/(-63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 - i**2 + 3*i - 4. Let g(t) be the third derivative of -t**6\/24 - t**5\/60 + t**4\/6 - 5*t**3\/6 + 170*t**2. What is 3*g(k) - 4*z(k)?\nAnswer: k**3 + k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3992941 and 60409?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -7\/6*p**4 - 4*p + 4 - 4*p**2 - 3\/20*p**5 - 10\/3*p**3. Let z(l) be the first derivative of w(l). Factor z(k).\nAnswer: -(k + 2)**2*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274.4 - -274. Let m = -606 - -610. What is the closest to -9 in -0.3, m, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497942596?\nAnswer: 2, 37, 71, 47387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 4*t + 1\/180*t**5 + 5\/2*t**2 + 0*t**3 + 0 + 0*t**4 - 1\/360*t**6. Let m(d) be the first derivative of x(d). Factor m(q).\nAnswer: -q**2*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, g: 3, n: 3, w: 7, j: 2}. What is prob of picking 1 g and 2 j?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3232 and -93\/1616.\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 238 + -859?\nAnswer: -621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 64. Determine t(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32008 is divided by 3076?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-28))\/((-1382)\/43533).\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 divided by 66948?\nAnswer: 47\/9564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 2*b**2 + 4*b**3 - 2*b**2)*(1 + 0 + 5).\nAnswer: 24*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - -1*(-2)\/(-8)*172. Suppose -91477 = 31*a - t*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.07, 0.3, 14, 44630\/9?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(4\/7))\/g*g**(3\/11)*(g*g\/g**7)**49)**(4\/13) assuming g is positive.\nAnswer: g**(-74892\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*w + 0*w - w - 2*w + 1 - 1 - 2*w + (-w + 5*w - 3*w)*(2 - 1 - 3) + 2*w + 5*w - 5*w + 1 - 1 + 2*w + 5*w + 0*w - 3*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3))**(-17))**(-20\/3)*(p*p\/(p*(p*p**(-1)*p)\/p*p)*p\/(p*p**3)*p)**(-23\/2) assuming p is positive.\nAnswer: p**(547\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -219*f**2 + 2*f + 1096. Let t(i) = -i**2 + i + 2. Let b(s) = c(s) + 3*t(s). Differentiate b(p) with respect to p.\nAnswer: -444*p + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 5*r**2 - 2*r + 2. Let f be 3\/(2 + 1) + 3. Let a be w(f). What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 8.99. Let z = 0.51 - k. Let q = 5 - 5. What is the smallest value in -2, q, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -976*a + 515*a = -570*a - 2071 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(171) + sqrt(171) + -3*sqrt(171) + sqrt(171)))\/(sqrt(9) - sqrt(441)*1) + (-5 + ((1*sqrt(38))\/sqrt(2) - sqrt(190)\/(sqrt(40)\/sqrt(4))))**2*4.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*c**5 - 29*c**5 - 25 + 25 + c - c + 2*c**5 + (2 - 2*c - 2)*(-2*c**4 - c**4 + c**4).\nAnswer: -36*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5772, -5770, -5768, -5766?\nAnswer: -5764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/5 (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((sqrt(405)*-1)**2 + -3) + (sqrt(125) - -2*sqrt(125) - (sqrt(5) - (sqrt(5)*-1 + 3 - sqrt(5))))**2 + -3.\nAnswer: 72*sqrt(5) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4032 divided by 9.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 46 + 266 = 0. Suppose 10*a - 4 = q. Let r(v) = -7*v - 1. Let b(k) = 3*k. Let d(z) = 8*b(z) + 3*r(z). Determine d(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -6 - (0 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1466513131?\nAnswer: -1466513130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -937, -936, -935, -934, -933?\nAnswer: -932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16.6 and 116.9.\nAnswer: 1940.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -26299*w**2 - 24*w + 3. Let m be k(-17). What is m rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 40 and -3.52?\nAnswer: -140.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4497, 9107, 13841, 18693, 23657, 28727, 33897?\nAnswer: 39161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -338, -337, -336, -335, -334, -333?\nAnswer: -332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2202841901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnwnwnnwo.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.342 - -602.\nAnswer: 601.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -8. Put 0, -1, j in decreasing order.\nAnswer: 0, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 16*b + 11. What is the tens digit of a(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 43 = r - 42, 0 = -5*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*b**3*m**3 - b**3*m**2 - 54*b**2 + 3*b*m**3 - 3*b*m**2 - 19*m**3 wrt b?\nAnswer: -72*b*m**3 - 6*b*m**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -2\/19 (c) 2\/19 (d) 1 (e) 0.08 (f) 20\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458 or 481?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1338 and 3389010?\nAnswer: 755749230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 + 114*w**2 - 2093408*w + 2093408*w + 9)*(1 - 1 + w).\nAnswer: 114*w**3 - 34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 4, t: 6, f: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 395231, 3160921, 10667789, 25286423, 49387411, 85341341, 135518801?\nAnswer: 202290379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.9 + 23. Which is the third smallest value? (a) 2 (b) y (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**3\/3 - 3*v**2 - v. Calculate o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 0, -2, -2\/5, 0.053?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004677 to five decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s + 225 = 0. Suppose 2*h = 6*h + 20, 5*k + s = 3*h. Let u = -13 - k. Solve -5*o + 0 + u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3564719*d**2 + 2*d**3 + 3564719*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/345 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163.87913 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, g: 1, v: 8, x: 3}. Give prob of picking 1 g, 1 x, and 2 o.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 + 4*k - 6. Let v be r(-5). Suppose 10*s + 3*l + 49 = 12*s, -55 = -2*s - 3*l. Calculate the remainder when 2 + 0 + v + 1 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**4\/12 + f**3\/3 - f**2 - 2*f. Let j(l) = 1. Let q(h) = -2. Let p(t) = 3*j(t) + q(t). Give -d(b) - 3*p(b).\nAnswer: b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-1\/4)*f*f**(-1\/3)*f*f**(-1\/6) assuming f is positive.\nAnswer: f**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 8*h**2 + 13*h + 2. Is p(7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 3:37 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2387007000 rounded to the nearest one million?\nAnswer: 2387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -60. Suppose 3*t = t + x. Calculate the highest common factor of t and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12160 - -2a?\nAnswer: 1218a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 254619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -1597793?\nAnswer: -1597793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.30052ng to milligrams.\nAnswer: 0.00005530052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -1) + -127 + 120\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 158847770. Let m(l) = 2*l. What is m(h(c))?\nAnswer: -2*c**2 - 317695540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**7\/42 - 2*d**6\/3 - 5*d**5\/2 + 70*d**4\/3 - 325*d**3\/6 - 10*d**2 - 3*d. Find u such that k(u) = 0.\nAnswer: -13, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a centimeter in micrometers?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*j**3*x**3 - 5212*j**3*x + j*x**3 + 27287*j*x**2 - 691773*x**4 wrt x.\nAnswer: -84*j**3 + 6*j - 16602552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72017 + -40192. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 + -44. Suppose 4*h + 66 = 2*r - r, w*r - 184 = 5*h. Suppose -3*y + r = -n, 4*y + 3*n - 17 = 56. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-14)\/147). Suppose -4*c + 5 + l = 0. Suppose c*n = -2*x + 73, x + 2*x + 3 = 0. What is the greatest common divisor of 200 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 46. Let l = 5 + h. Let q = 31 + l. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = 7*b - 22*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-5) + 144\/180. Suppose 3*x + i = -2*s + 4, -3*s + 4 = 2*x. Solve t - 5\/2*t**4 + 0 - t**3 + 5\/2*t**s = 0 for t.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3 - 4 + 5 - 3*h + 2*h. Let p be g(-4). Is 3\/5 bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164553437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 9109705?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3497402\/75 + 46631. What is the common denominator of f and 71\/4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b - 29*b + 12*b + 21 + 7*b. What is the units digit of r(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.024754 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3489576.\nAnswer: 2, 3, 145399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 11:08 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + o = 780, b + 4*o + 163 = 28. Does 9 divide 3 + 1*b\/(-15)*72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -9*k - 87, 440 + 515 = 4*f + 1515 - 492 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 77826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (165\/(-231))\/(10\/(-140))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 + 352*u - 30976.\nAnswer: -(u - 176)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -26. Let m = -10 - d. Differentiate m*l**3 + 136 - 137 - 3*l**3 wrt l.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4*u**2 - u + 10. Let q be v(-3). Let n = q + 94. Let j = n - 26. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5635 + -344?\nAnswer: 5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2. Let b(v) = -8*v**3 - 7*v**2 + 2*v. Suppose 4*s - 12 = 2*a, -s + 4 - 7 = a. Let f(y) = s*b(y) - 6*d(y). Calculate f(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 7*s)*(2 + 1 - 6)*(-2 - 2*s**2 + 2).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*m**3 + 423*m**3 + 0*m**2 + 0*m**2.\nAnswer: 22*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2) + 38502\/(-1116)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v. Let q(f) = f**2 - 42*f. Let l(s) = 2*q(s) + 9*z(s). Let x(h) = h**3 - h**2 + h. Let o(g) = -l(g) + x(g). Let r = 6 - 2. Give o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 17*f**4 - 7*f**3 + 6*f + 6. Let m(k) = 37*k**4 - 16*k**3 + 13*k + 13. Let w(n) = -6*m(n) + 13*y(n). Solve w(v) = 0 for v.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let y(c) = 15*c**2 - 3*c. Let k(f) = 136*f**2 - 28*f. Let t(o) = -3*k(o) + 28*y(o). Determine t(d(q)).\nAnswer: 192*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2808*l**3 + 1600*l + 1245. What is the derivative of u(a) wrt a?\nAnswer: -16848*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2500 + 2662 = 34*s + 55*s + 1602 for s.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -1284?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*t - 24 = 0, -4*t = 3*s + t - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 883803491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*k**3 - 9*k**2 + 1205*k wrt k?\nAnswer: -522*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.15. Let w = g - -0.08. Let r = 0.43 - w. Which is the third biggest value? (a) 0.5 (b) r (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/4)\/(16\/176896). Is m\/63 - 6\/27 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30541.73 kilograms to milligrams.\nAnswer: 30541730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -2*j + 10, 4*t - 4*j - 23 - 5 = 0. Let f = 116 - 68. What is the highest common factor of t and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + y - 8*y)*(-7 - 13 + 7)*(-3*y - 2*y + 0*y).\nAnswer: -325*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**2. Let d(n) = 1204418*n**2. Determine r(d(j)).\nAnswer: 15956849905964*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (40\/102)\/(44 + (-22046)\/219 + 56)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -51, -40, -17, 24, 89, 184?\n\"Answer: t**3 + 4*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1315 - b - 1315)*(2*b + 2*b - 3*b) + 2*b**2 - 3*b**2 + 3*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1647 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2993, 11976, 26957, 47936, 74913?\n\"Answer: 2999*w**2 - 14*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 6 (b) 14\/177 (c) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.47043 to three dps.\nAnswer: 1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -14, -29446, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 3*d + 23 - 7, -5*d + 4 = w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2801 - 5?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**3 - 2*r**2 - 2. Let x be y(-2). Let f = x - 19. Find c such that 1\/4 - 1\/2*c**f + 1\/4*c + 1\/4*c**5 + 1\/4*c**4 - 1\/2*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37818 or -1?\nAnswer: -37818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43890 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/15 - -7*6\/(-210). Factor 1\/3*k**2 + 4\/3*k + y.\nAnswer: (k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -1\/6*c**3 - c**2 + 5*c + 0. Calculate m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118771031.\nAnswer: 43, 2762117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 - 7*v**3\/2 + 3*v**2\/2 + 19*v\/2 - 7.\nAnswer: -(v - 1)**2*(v + 2)*(v + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -56, -218, -544, -1088, -1904?\nAnswer: -3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 28*n**2 - 558*n - 14678. What is w(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*o = 22, -5*o + 3*o = 5*t - 34. Solve -5*w - 4 = t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/4 + (-12)\/(-24). Solve 18 = o - r*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 518785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-2.986091\nAnswer: -1.4930455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 0*h = 4*k, k - 2*h + 6 = 0. Let q(b) = -3*b**2 + b**k + 4*b**2. Let d(o) = -o**2. Give d(q(w)).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 7*k + 93 = 0, h + 246 = -5*k + 187 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(204) + (1*sqrt(204) + sqrt(204))*6)*3)\/(1*sqrt(48)*-1*-3).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 1833909.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -74\/12931757 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 5047?\nAnswer: 45423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 3\/5 (c) 0 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -35, -139, -347, -695, -1219, -1955?\n\"Answer: -6*q**3 + 2*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400988703, 400988707, 400988713, 400988721, 400988731, 400988743, 400988757?\nAnswer: 400988773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -50*h + 353. Calculate s(17).\nAnswer: -497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-12)*(22 + -1). Let u be 6\/(-4)*v\/21. Let q = u + 11. Solve 4*j + q = -4*s, -1 + 3 = -2*s + j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-119)\/(-28) + (-6)\/(-8). Suppose -4*i + p*i = 0. Suppose -m + 15 = -3*c, -5*c + i = 4*m - 43. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35515 = -484*h - 1635 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -2 - -7 - (4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*(-5 + 0 + (-6*(sqrt(1872) + -1) + sqrt(1872) - sqrt(1872)) + -3))**2.\nAnswer: 2304*sqrt(13) + 269632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:08 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8883, -26768, -44641, -62496, -80327, -98128?\n\"Answer: f**3 - 17892*f + 9008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 16 = -6 - 0 + 10, 0 = 64*g + 30*g - 2*u + 2530 for g.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h. Let j(g) be the second derivative of g**3\/6 + 25*g. Calculate t(j(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*p**4 - 75432*p - p**3 + 75432*p + 5*p**2 to v*p + w*p**3 + d*p**2 + k + x*p**4 and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28324 divided by 97?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 111, 17546 in decreasing order.\nAnswer: 17546, 111, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 223*x - 84*x**2 - 223*x + (-1 + 1 + 2*x)*(2 - 2 - x) - 5*x + 5*x**2 + 5*x to q*x + z + c*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -1851.\nAnswer: -24\/617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = -5*u - a, -5*u + 276*a - 278*a - 137 = 0 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 3. Let m = p + 0.22. Which is bigger: -2\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 375, 206, -259, -1164, -2653, -4870, -7959, -12064?\n\"Answer: -24*v**3 - 4*v**2 + 11*v + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 643 - 1?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-2\/5)*y)*y\/(y*y**(-15)\/y))**(1\/3) assuming y is positive.\nAnswer: y**(82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -1\/3, 132, -4?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 447 - 809 = -x, -8*z + x + 5004 = 0. List the prime factors of z.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128581*g + 128601*g = 440 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/19 in 1\/7, 0.5, -2317, -1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -113130147 divided by 7457?\nAnswer: -15171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91923 and 741.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*y + y - 2*y)*(-3*y + 5*y - 4*y) + 4*y**2 + 1 + 1 - 2*y**2.\nAnswer: -14*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/1*2\/4. Let a = 62 - 57. Put a, 0, q in decreasing order.\nAnswer: a, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 12:40 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -189*r**5\/20 + 95*r**4\/4 - 18*r**3 + 6*r**2 - 23*r. Factor w(p).\nAnswer: -3*(p - 1)*(7*p - 2)*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3061*a + 118 - 4917 - 729*a wrt a?\nAnswer: -3790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4)**(2\/5)\/(m**(2\/29)*m*m*m\/m**2))**(2\/63) assuming m is positive.\nAnswer: m**(22\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 10. Let m be p(-12). Let v = 26 - m. Suppose t - 5*l - 8 = 0, -3*t + 12 = 2*l - 12. Solve t + v = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2\/15, 917, -0.5, 1, -2\/13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -9*l**2 + 3*l + 2. Let o be s(-2). Let u be -2 + ((-1)\/5 - 208\/o). Suppose 0 = -u*r + y, -4*r + 0*r = -y. Let b(p) = -p**2 + p + 11. Calculate b(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15766403 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 1 + 1042146*t**2 - 1041654*t**2 - t)*(0*t**2 - t**2 + 2*t**2).\nAnswer: 492*t**4 + 3*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(405)))**2 + ((sqrt(45)*6)**2 - (sqrt(15)\/sqrt(3)*-3)**2).\nAnswer: 36*sqrt(5) + 1984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296534, -593065, -889596, -1186127?\nAnswer: -1482658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/133068 and -5\/44356.\nAnswer: 133068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 710422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-483)*((-594)\/(-8))\/(-11)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 68, 101, 134, 167, 200?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933604969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*m**2 + 6*m - 6*m - 11*m - 12 - 80*m**2.\nAnswer: (m - 12)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 823 or 1647\/2?\nAnswer: 823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4924678 is divided by 109437.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -699*-0.4833\nAnswer: 337.8267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcu when three letters picked without replacement from {j: 2, m: 6, g: 1, u: 1, k: 3, c: 2}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) -3\/566 (c) 0.2 (d) 0.3 (e) 6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let k be v + 10 - (0 + 0). Suppose -11*y - 5*y + 16 = 0. Calculate the highest common divisor of k and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**5\/20 - 5*n**4\/6 + 13*n**3\/6 - 39*n**2\/2 - 68*n. Let q be i(9). Put q, 6, -4, -1 in increasing order.\nAnswer: -4, q, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092 rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - 0.1. Let g = 10 + h. What is g rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2, -0.14, -18?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(4*z - z - 4*z) - 1 + 1 - 2*z + 171 + 7592*z + 179 + 4962*z - 350.\nAnswer: 12551*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14579952 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 3. Let u be d(9). Sort u, 2, -2 in descending order.\nAnswer: u, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 33 (c) -133 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence beb when three letters picked without replacement from bebbr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1470 and 73\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 272288172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 189513 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*d = 29, -3*o = -1045*d + 1049*d - 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 2}. Give prob of sequence rt.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*x - 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146091?\nAnswer: 3, 11, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7*q - u + 11, -q + 4*u = 2. Let k be (-4)\/2 - (6\/q - 6). Which is smaller: k or 7\/17?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(15)\/sqrt(3)*-3 + 1)**2*1*-2.\nAnswer: -460 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 2*f - 8. Let c be q(-3). Suppose -2*p + 17 + c = -2*x, 4*p + 3*x = 83. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*o = -125*o. Solve 20*f - 13 - 7 = o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (2 - (6 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 2841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*y - 22*y - 11*y**2)*(2*y**2 + 1 - 1 + (-1 + 2 + 1)*(-2*y**2 - y + y)).\nAnswer: 22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 50 - 302. Let q be (-7)\/(a\/8)*21. List the prime factors of ((-7)\/q)\/(1\/(-46)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7763, 7580, 7413, 7262, 7127?\nAnswer: 7008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, e: 2, y: 1, p: 3, c: 2}. Give prob of sequence ecy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42844267*n**3 - 21535963?\nAnswer: 128532801*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 2\/9, 4, 0.5, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -111998 and -52\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/105)\/((-9)\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 913, 2004, 3509?\nAnswer: 5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 27*t**2 - 27*t + 14. Let z be y(1). Put 5, 2, -4, z, 21 in decreasing order.\nAnswer: 21, z, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 15169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -112976 divided by -28244\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 104773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6026409 to the nearest 100000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -8, 6, 36, 88?\n\"Answer: p**3 - p**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-594)\/(-165))\/(3\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 - 12 = 0. Find v such that r*v + 2*v**2 + 0*v**2 - 3*v**3 - 8*v**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/((-12)\/108). Suppose -5*h + 15 = p, h - 3*p + 9 = -2*h. Factor 24*o + 8 - 22*o**h + 4*o**2 + 0*o**c - 14*o**3.\nAnswer: -2*(o - 1)*(o + 2)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-21 - -35) - (-4 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2552102555 - 1?\nAnswer: 2552102554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -330*k - 5070 + 5070 + (2 + 2 - 5)*(0*k + 2*k - k).\nAnswer: -331*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 2. Let w(y) = -2*y + 1. Let q(v) = 2*h(v) + 4*w(v). Let k(a) = 1. Let z(m) = m + 1. Let c(d) = -k(d) + z(d). Determine q(c(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -0.4, 0, -14\/85, 0.7?\nAnswer: -14\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + b + 1. Let s be 1 + -1 + 9 + -2. Let j(n) = -s - 6*n + 2 - 3 + 5*n**2. Suppose -4*i + 4*x = 16, 4*i + 4*x = -0*x - 32. Give i*g(m) - j(m).\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 0*s - 2*l - 22, 18 = 2*s - l. What is the highest common factor of s and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60 + -104)*3*1\/12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(-30)\/((-21600)\/520)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9632 is divided by 1486?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*(3 + -1*(2 + (sqrt(125) - (sqrt(125) + 1)) - (sqrt(125) + 1 + sqrt(125) + -2)))**2.\nAnswer: -12024 - 480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, l: 1, j: 1, o: 4, v: 2}. Give prob of sequence lojv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 470*h**2*u**2 - 40692*h**2 - 9*u**3 with respect to u.\nAnswer: 940*h**2*u - 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 386322, 386318, 386312, 386304, 386294?\nAnswer: 386282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 442787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -829696 divided by -4\nAnswer: 207424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose -1097*p + 1106*p = 45. Suppose 0 = p*y - 25, y = -k*s + 6*y + 1755. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhjhhhhjjhujjjhjhhu. Give prob of picking 1 u, 1 j, and 2 h.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71 from -0.4434.\nAnswer: 70.5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5900 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 5876, 53, 32.\nAnswer: -5, -4, 2, 32, 53, 5876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiviivvooi. What is prob of sequence oovv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -5. Suppose 110*m - 113*m = 15. Sort 0, x, m in decreasing order.\nAnswer: 0, m, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 451 (b) 2\/15 (c) -1 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/5 - 941456*f - 553962124960.\nAnswer: -2*(f + 1176820)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 81*y. Let t(l) = -42*l + 20*l + 27*l. Calculate 2*i(j) - 33*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005618864 to 6 dps.\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-40) - 2\/10. Suppose i = -k, 0 = 5*u - 8*k + 5*k - 10. Suppose -32 = -u*v + 4. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 + 5*h - 6. Let x = -15 + 19. Let b be t(x). Does 25 divide (b\/3)\/(1\/(-3) - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 3. Let x(k) = 372*k + 1166. Let y(z) = 2*j(z) + x(z). Find the first derivative of y(l) wrt l.\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 35 = 0. Calculate the common denominator of (-97)\/(-30) + (3 + -10)\/p and 31\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11374 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182 - 24*n**2 + 182.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1889749119 + -440310449159\/233. Let i = y + -4702. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5291325 and 34425?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149 in -0.3, 7\/6, 364, -2\/27?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 526 - -26?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - f + 2 - f)*(-6*f + f - 5*f)*(-3 + 0 + 2).\nAnswer: -20*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 506 divide 75675717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13536048 plus -202?\nAnswer: -202.13536048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 less than or equal to -0.323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -94, -107, -120, -133, -146, -159?\n\"Answer: -13*d - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + 0 + sqrt(13))**2*-3 + sqrt(39)\/sqrt(3)*6.\nAnswer: -351 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 2\/5, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from xapagasspppt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19312 and 121040.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -636.6 to the nearest ten.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (-6*-1*sqrt(360) - sqrt(360)))\/(-2*sqrt(8) - -1*sqrt(72)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -3*c - 3*y - 19, 15 = 2*c + 5*y. What is the third smallest value in -0.5, -9, -23, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1795 (b) -5 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 9*y - 9. Suppose -2*q - r = 0, -2*r + 1 = 10*q - 7*q. Calculate j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 791367?\nAnswer: 3, 17, 59, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.05 - -63.95. Let u = -63 + p. Sort 130\/9, -5, u in decreasing order.\nAnswer: 130\/9, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -9. Let s = -8 - -6. Let a be (-3 + 1)*1\/s. Calculate the greatest common factor of a and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -713 - -1684. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/17)*l**(-4)\/l*l)**(-16)\/(((l*l**(-2\/3))\/l**7)\/(((l*l**4)\/l)\/(l*l\/l**(1\/6)))) assuming l is positive.\nAnswer: l**(5989\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert bd (base 14) to base 5.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -183 - 125 - 133. What is the greatest common factor of 7350 and g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -52\/3, 3\/35, 0.5, 2, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491917?\nAnswer: 109, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*o**2 + 0 - 2 - 43*o**2 - o to the form y*o**2 + s*o + a and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 3*s - 63. Let k = -12 + 14. Sort -1, s, 2\/5, k in ascending order.\nAnswer: s, -1, 2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28 - 65) + 143 - ((1 - -6) + -1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 10:31 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27991507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*t + 74 = 0, 16*t - 400 = 5*v + 21*t. Which is the nearest to 0.1? (a) -4 (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 1, c: 9, r: 1, f: 1, b: 1}. What is prob of picking 1 c and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 6. Let l be (-10)\/(-15) + (-22)\/h. Let y = l + 3. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -461, -881, -1219, -1475?\n\"Answer: 41*x**2 - 543*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61462*n**4 + 2*n**3 - 77857*n?\nAnswer: 737544*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -42740 times -2\nAnswer: 85480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-5 - (-8 - 0) - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 13*l**3\/3 - 153*l**2 - l + 19. Let h(m) = 15*m. Calculate the lowest common multiple of r(12) and h(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -5838?\nAnswer: -1167.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.4492 and -7399135.\nAnswer: -7399130.5508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.111 and -3.684.\nAnswer: -3.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(12)\/(sqrt(216)*-1) - -6*-1*sqrt(50)).\nAnswer: -181*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sa when two letters picked without replacement from sssssausssussesss?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725734825 to the power of 1\/3, to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46328*i**3*y**3 - 1226*i**3*y**2 - i**2*y**2 - 2*i*y**5 - 4*i*y**2 - 6*i*y wrt y?\nAnswer: -277968*i**3 - 120*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1631 + -3636564352\nAnswer: -3636564352.1631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9006586 divided by -127.\nAnswer: -70918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*o - 3*h - 24, h = -o + 12. Let g = -5 + o. Calculate the highest common factor of g and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 18.4. Which is the second biggest value? (a) -4 (b) -2\/9 (c) -1 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280970808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*l**2 - 791*l**2 + 189*l**2 + 181*l**2 + 194*l**2 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 7*u - 3, -3*d - 34*u = -30*u + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**4\/4 - 2*l**3 - 42*l**2. Let h(q) = -6*q + 14. Let x(j) = -6*a(j) - 5*h(j). Give x(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 45*h**3 + 8*h**2 - 9*h. Let y be l(1). Calculate the greatest common divisor of y and 100.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 197703479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 46. Let n(d) = -d**3 - 14*d**2 + 13*d - 23. Let k be n(-15). Let u be z(k). Is 18 a factor of u\/65*-7*55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 15309060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 2*d + 2. Let j be l(0). Let f be (-2 - (-3 - j)) + -7. Is 15 a factor of 24\/14*(-70)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580381?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 12:19 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*o + l - 19, o - 4*l - 4 = 0. Suppose -24 = 4*r + 4*g, 3*r - 18 = 4*r + 4*g. Let t be -1*(r + -1) - -2. Solve n - t*n = -o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1192295.\nAnswer: 5, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**3\/33 + 12*i**2\/11 + 72*i\/11 - 14. Factor z(j).\nAnswer: 2*(j + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15163 divided by -1.\nAnswer: 15163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2569*d**2 + 7*d + 113 wrt d.\nAnswer: -5138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**2 + 6 + 3*q**2 + 4*q**2 - q**3 + 2*q**2. What is x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 + 3*a**2 - 14907*a - 59613. What is r(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 3*t = 6, w + t = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 3*a + 3*a)*(3*a**4 + a**4 - 2*a**4).\nAnswer: 20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 8888*c**2 + 194084*c + 1064800 = 0 for c.\nAnswer: -2200, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25789, -4, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000599 to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from zjizmikkkkjkkzzi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 < 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.22407 milliseconds to microseconds.\nAnswer: 76224.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12029 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 367 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:06 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78097 and -45.3?\nAnswer: 3537794.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 319489 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.024 + -0.376. What is the biggest value in 5, y, -0.1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 15) in base 16?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b**4 - 108*b**3 - 114*b**2 + 20*b = 0. What is b?\nAnswer: -1, 0, 2\/13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoog when four letters picked without replacement from {g: 4, h: 5, o: 2}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/10 - 39*h\/5 + 3663\/10 = 0.\nAnswer: -111, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 15906422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8\/17, 124, 1\/2, -5 in ascending order.\nAnswer: -8, -5, 8\/17, 1\/2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.438281699+2.5\nAnswer: 2.061718301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37501, -37220, -36939, -36658, -36377, -36096?\nAnswer: -35815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**2\/2 - 4052697*k + 5474784324603\/2 = 0.\nAnswer: 1350899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14778 or 11\/61?\nAnswer: -14778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/30)\/(-3))\/(3\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 667083.5 weeks?\nAnswer: 112070028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 125*z + 150. Is 30 a factor of m(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-2 - 42\/(-9)). Let g = 379.9 - 380. What is the second biggest value in s, g, 0.01?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 7. Let t be v(8). Let p(f) = t - 4*f + 5*f + 1. What is the units digit of p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(64) + 2*sqrt(64) + sqrt(64) + sqrt(64)))**2.\nAnswer: 1\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4928 and -37\/1235696.\nAnswer: 4942784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**8\/3360 + g**7\/840 + g**6\/720 - g**5\/120 + g**3 + 6. Let n(v) be the third derivative of r(v). Solve n(x) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k. Let d(o) be the third derivative of 19*o**4\/24 - 3*o**2 + 3. What is d(a(n))?\nAnswer: -76*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, u: 2, r: 7, t: 3, v: 1}. Give prob of picking 2 r and 2 t.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c91 - 3a?\nAnswer: -2ccb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 * -6\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*h + 233 = -192 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(78)\/sqrt(2)*-2)\/(5*((sqrt(192)\/sqrt(4) - sqrt(48)) + sqrt(48))).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**3 - 2004*d**2 - 51752*d - 265440 = 0. What is d?\nAnswer: -474, -20, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 + -3 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24763\/8 + 3088. Find the common denominator of k and -49\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwml when four letters picked without replacement from {l: 3, w: 1, n: 5, g: 1, m: 1}.\nAnswer: 1\/2640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 0.07 (c) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -13, -2583 in increasing order.\nAnswer: -2583, -13, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1942440.932529 - 1942440. Let m = -0.932 + i. Round m to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 4 - 456*s - 56*s.\nAnswer: -512*s + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/2 + 1433*p\/2 - 1431.\nAnswer: -(p - 1431)*(p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -406737382*r**3 - 463847747*r**2 wrt r?\nAnswer: -2440424292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -782 + 758 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167? (a) -3 (b) 1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 60*n**3 + 2*n**2 - 4*n - 5. Let p be k(2). List the prime factors of (-138)\/(p\/(-200) + 3\/8).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(297) - sqrt(297)*-3)*3 - sqrt(297))\/(((sqrt(675) + sqrt(27))*-1)\/sqrt(9)) + 0)**2 + 3.\nAnswer: 55*sqrt(11) + 1443\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62*y**2 - 76*y**2 + 206*y**2)*(y**2 - 4*y**2 + 5*y**2).\nAnswer: 384*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-1410)\/84 + 17). Put -15\/2, -0.5, m, -3\/2, -1 in decreasing order.\nAnswer: m, -0.5, -1, -3\/2, -15\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 20 = 3*u. Let c be ((-4)\/(-10))\/(u\/(-20)). Let l be 4 - ((-6 - -2) + c). Solve -l*j = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 10*z**2 - 2*z - 14. Let w be 11 + -14 + (-22)\/(-2). Let g be (-3)\/(-12) - (6 + 34\/w). What is q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 79 = n, -p - p = -10. Suppose -n + 206 = 4*i. Suppose -28 = 2*k - i. Solve 5*c - k = 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0*z - z - 4 + 0*z to x + l*z and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/555 or 0?\nAnswer: -1\/555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.06 - 36.44. Let u = 0.0175 - 2.2905. Let y = u - h. Round y to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2456634 is divided by 2559.\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114868266.\nAnswer: 2, 3, 19144711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/((-124270)\/(-258))*3\/9*-5\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-110)\/135 + -6 + 8?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -24. Solve q*k = k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.179 rounded to three decimal places?\nAnswer: 0.179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - k - 1. Let y(c) = 2*c**3 - 12*c**2 - 2*c - 3. Let h(q) = 4*q**3 - 21*q**2 - 4*q - 6. Let z(p) = 4*h(p) - 7*y(p). Calculate 3*d(t) - z(t).\nAnswer: -5*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/6089367 (c) 2\/17 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -48, -69, -94?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + b - 18 + 5 = 0, 0 = 3*f + 3*b - 21. Solve -2*n + 2 = 5*p, 0*p + f*p - 2*n = 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ab1 (base 16) to base 8.\nAnswer: -5261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 1.29\nAnswer: 9.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**2 + 2*a - 19. What is the remainder when x(-8) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2096 divided by 2096.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = 4*i - 3*g - 184, 3*i - 327 = 3*g. What are the prime factors of i?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*i**3 + 1 + 3\/2*i - 1\/2*i**2 - 1\/2*i**4.\nAnswer: -(i - 1)*(i + 1)**2*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 183895 - 118739. What are the prime factors of y?\nAnswer: 2, 7, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 800.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -16*g**2 - 641*g**3 - 5*g - 45*g**3 + 20*g**2 + 8. Let n be w(4). Let u = -300148 + n. Round u to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 11*b**2 - 11*b - 9. Determine g(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8553047.58s to weeks.\nAnswer: 14.14194375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 728*v**2 - 4*v - 7985*v**2 + 2063*v**2.\nAnswer: -6650*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 223566 and 6?\nAnswer: 223566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kefessuee. What is prob of sequence ek?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 131 - 131. Solve -3*x - 2*x - 15 = k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212011 + 10020?\nAnswer: 222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3093 and 8789275.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 112383840.717.\nAnswer: -112383841.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-387)\/86)\/((-6)\/4) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d + 2*d**3 + 0 - 26*d - 5 - 2*d**2 + 15 - 4*d**3 in the form o + z*d + f*d**2 + t*d**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45638 + 110189 = 1853*o + 281*o - 50685 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10. Let l = 2 + x. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222.099915 rounded to the nearest integer?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 2*a + 15. Let p be m(-5). Let w(c) = -3*c - 140. Let n be w(p). Put -58, -6, n in descending order.\nAnswer: n, -6, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*sqrt(686)*-4)\/(sqrt(2) + -1*sqrt(72) + sqrt(2) - sqrt(2450)).\nAnswer: -56*sqrt(7)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9847.364 to the nearest ten.\nAnswer: 9850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**7\/42 + 13*k**6\/30 - 9*k**5\/20 - 37*k**4\/12 + 5*k**3\/3 + 12*k**2 - 27*k. Solve l(z) = 0.\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -51, -89, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.5 - 44. Let a = -0.5 + m. Sort -2\/13, a, 2\/11 in increasing order.\nAnswer: -2\/13, a, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y - 1. Let t be c(-3). Let p(n) = -n**3 - 8*n**2 - 10*n - 9. Let a be p(t). What is the common denominator of 20\/(-21) - 4\/a and 21\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/14 + 6)*((-44)\/(-6) - 9)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -4*h - 44, -169 = -2*z - 2*h - 41. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3136 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -786912.4 - 3998\nAnswer: -790910.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1012.5 + -1012. Let q = 0.2 + -0.4. What is the second biggest value in -3\/8, n, -2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) - (sqrt(540)*-2 - sqrt(540))\/sqrt(12)) + sqrt(45) + (sqrt(315)*2)\/sqrt(7))\/(sqrt(36)*1 - 3*1*sqrt(9)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 12. Let i be m(-13). Let g(j) = -747 - 749 - 741 + 2237 + 2*j. Calculate g(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 905.\nAnswer: -3\/905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 25. Let k be l(-9). What is the tens digit of (3 - 292\/k - 3)*-4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -16. Which is the third biggest value? (a) u (b) -3\/4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 3*a - 47. Suppose -4*y + 48 = 0, 5030 = 46*z - 4*y - 5824. What is the remainder when z is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 450*z - 451*z - 13*m = -38, 0 = -4*z - 3*m + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 45*f + 13. Let u(c) = 128*c + 40. Calculate 17*h(a) - 6*u(a).\nAnswer: -3*a - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 1:01 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1028520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 574, 573, 572, 571?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*x + 355*x - 3*x**2 + 346*x - 1050*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {a: 5, l: 3, f: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5385*v - 2 + 1076*v + v**2 + 0*v**2.\nAnswer: v**2 - 4309*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*-2 + sqrt(156))\/sqrt(12).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t, -3*t = 2*i - 8*t - 24. Solve -5*v - i = 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5\/4)\/o*o*o)\/o)**(40\/9) assuming o is positive.\nAnswer: o**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0 (c) 497 (d) 18 (e) -0.07 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3807714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298003 - 894116 + 298111 + 298002 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559154873?\nAnswer: 2341, 238853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j)**(-3\/5)\/(j\/(j\/j**(2\/7)))**(4\/13) assuming j is positive.\nAnswer: j**(-47\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 4*v + 10. What is t(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 13) to base 15\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -505266?\nAnswer: -505263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 - 4)*(0*y + 0*y - 2*y) - 6*y - 4 + 4 + (28 + 8 + 5)*(-1 + 2*y + y - y) as r*y + s and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 24792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1516447 (base 8) to base 4.\nAnswer: 1221310213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -14 + 58. What is the remainder when (-306)\/p*4\/6 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 12*q + 3. Suppose -3*d = -u - 27, 4*d + 5*u = 2 + 15. Does 5 divide h(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, h: 4, j: 7}. What is prob of picking 2 h and 2 j?\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 21*i**2 + 80*i + 6. Let n = 3 - -1. What is the remainder when d(-16) is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 366125, 366135, 366145, 366155?\n\"Answer: 10*k + 366115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than 446756.72?\nAnswer: 446756.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 43\/3, -0.3 in increasing order.\nAnswer: -4, -0.3, 0.2, 43\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 47817\nAnswer: 1\/47817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 14*n**3 + 2*n**2 + 10*n - 7. Is y(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -153965 divided by -581\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i**3 + 80*i**2 - 256*i = 0. What is i?\nAnswer: 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.8319mg in micrograms?\nAnswer: 245831.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/2, -7792 in descending order.\nAnswer: -3\/2, -10, -7792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhhs when four letters picked without replacement from ssnssnshsshssss.\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -248 (base 11) in base 14?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1725*a + 3427*a - 2823*a as r + k*a and give k.\nAnswer: 2329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert bc (base 14) to base 7.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363179 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1335)\/12 - (-5)\/20. Let k = c + 997\/9. What is the smallest value in k, 5, 3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 + 8*x + 9. What is n(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 15 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 397 divide 155624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 190*v - 3399. Give n(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5 = -9*y, 0 = -3*b - 5*y + 103. Let u be (-6)\/(-15) - b\/(-10). Suppose 4*f - 16 = -2*s, u*s - 2*f - 14 = -4*f. Solve h = s*h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 17 = -4*t, -3*t - 3*t - 62 = 12*i - 7*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, 10*q + 71 = 14*q - 5*t. Solve -q*k = 26*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -292 and -296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/273 and -47\/15600.\nAnswer: 109200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -362, -317, -272, -227, -182?\n\"Answer: 45*d - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1)*u*u)\/u)\/(u\/(u\/(u\/((u\/(u*u*u**(-2\/5)*u))\/u))*u))*(u\/((u**0\/u)\/u)*u)**(-4\/25)*(u*u\/u**(-3)*u**3*u*u)**(-20) assuming u is positive.\nAnswer: u**(-5081\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 125*w**2 - 3851*w - 10. Let k(a) = -a**3 + 81. Calculate the smallest common multiple of k(0) and l(-55).\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let n(w) = 2*w**2 - 11*w - 2. Let h be n(6). Which is the third smallest value? (a) -5 (b) 3 (c) h (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(5 - 1 - 5 + (-2 + 5 + 0)*(0 - 3 + 4))*(-1 + 1 - t) to the form l*t + i and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213\/399 + (64\/176)\/((-494)\/143).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-8) + (-16)\/(-256)*164. Solve 0 = 3*c + 3*f - y, -2*c - 2*f = 3*f - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.2, 27, 2\/49, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -3\/2*a**2 - 9\/4*a**4 - 2 + 0*a**3 + 0*a. Find the second derivative of p(d) wrt d.\nAnswer: -54*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/(-5) - 1 - (-9)\/15. Let k(q) be the second derivative of -3*q + 0 - 1\/2*q**s + q**2. Find the first derivative of k(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 + -316. Suppose 2*o = 3*o + 4. Is g at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 21579, 2 in ascending order.\nAnswer: 2, 3, 21579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124304 = 1135*d + 17614 for d.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36208222 to the power of 1\/2, to the nearest integer?\nAnswer: 6017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + -1 + sqrt(272) + sqrt(272) + sqrt(272) + -1 + sqrt(272) + -1 + -5)**2.\nAnswer: -320*sqrt(17) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(-2 - -6)\/(-8). Solve 3*g + y*g = -3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 19. Let q be a(-11). Let p be (-6)\/(-10) - (-90)\/q. Is -10\/3 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4\/3 + 10042*b**3\/3 + 10048*b**2 + 8*b\/3 - 40192\/3 = 0.\nAnswer: -2, 1, 5024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8 - 38. What is the least common multiple of r and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7512, -7511, -7510, -7509?\n\"Answer: s - 7513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473 is divided by 165.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 78700072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 45*y + 16. Let m = -204 + 113. Let i = m - -95. What is the units digit of d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, d: 1, c: 2, q: 1, k: 1}. Give prob of sequence czq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8195.085 + 8195. What is the closest to -5 in -4\/5, f, 2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -179 - -66. Let n = 111 + p. What is the third smallest value in n, 7, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 3*o + 22, -5*w - 97820 + 97848 = 4*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 171702\/3083?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2015 and -4.\nAnswer: -8060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237138774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002483169 to 7 decimal places.\nAnswer: -0.0002483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**5 - 498*r**4 + 4185*r**3 + 8682*r**2 - 31668*r - 56520 = 0.\nAnswer: -2, 3, 10, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101110000000 - 1101?\nAnswer: 1010101101110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35688 and 13383?\nAnswer: 107064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2925.7.\nAnswer: 2928.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 14*k**2 + k - 3. Let m be d(7). Solve -17 = -m*q - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 184 = 178. Put -9, n, 0 in decreasing order.\nAnswer: 0, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 1 = 25. Suppose -13 = r - 25. Put v, 4, r in decreasing order.\nAnswer: r, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -112, 0.2, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 71.\nAnswer: 27\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-12)\/(-8) + 0)\/((-19)\/(-66538))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 14, m: 4}. What is prob of picking 3 a?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 9bc?\nAnswer: -9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3337.7373 rounded to the nearest integer?\nAnswer: -3338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -7977, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.6. Let s be -6 + (-3)\/((-3)\/1). Which is the nearest to y? (a) 3 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -19. Let j be ((-2)\/(-20))\/((-12)\/(-30)). Which is the biggest value? (a) p (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-2 - (-8 - -16 - 24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o + 1. Let y(z) be the second derivative of -z**4\/3 - z**3 - 3*z**2 - 74*z. Let n(p) = -6*u(p) - y(p). Let h(s) = s**2 - 74. What is n(h(x))?\nAnswer: -2*x**4 + 296*x**2 - 10952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - sqrt(192)*1)**2 - (-2 + (-1*sqrt(3) - sqrt(3)))**2.\nAnswer: -16 - 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*i - i + 4*i)*(174 - 174 + 8*i) as t*i + g + v*i**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2756 divided by -24.\nAnswer: 689\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-4*5\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m = 107*m + 319. Suppose -u = -d + 12 - m, -62 = -2*u - 5*d. Solve 3*p = 5*c + u, p + 17 = -3*c + 5*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-20)*(-20)\/(-6) + 0. Factor 12*o - 3*o - y*o**2 + 23*o - 64.\nAnswer: -4*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 105 or 104?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16893 rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -760 - -759.6. Which is the nearest to -1? (a) -2\/9 (b) 0 (c) -8 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -48?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*d - 11 - 10*d - 7*d to the form p*d + g and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/13 - 2278*a\/13 - 62216\/13.\nAnswer: -2*(a + 28)*(a + 1111)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/4531 + -9772\/1608505. Let x(c) = c**3 + 9*c**2 + 9*c + 8. Let w be x(-8). Which is greater: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.034 (b) 4\/7 (c) 2\/7 (d) 2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 30 = -5*z, 4*i + 2*z = -z + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (9 - -8) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.4 (c) -51 (d) 0.3 (e) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -9*j. Suppose 3*x + 592 = -j*w + 2*w, -3*x = 2*w - 568. Suppose 102 = i - 0*i + v, w = 3*i - 5*v. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 55 - -2?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 50 (b) 122 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -10927.\nAnswer: -339\/10927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - g + g)*(-g**2 - 3*g**2 + 6*g**2) + g**3 + 2*g**3 - 4*g**3 + 3*g**3 + 0*g**2 + 0*g**2 as a*g + l*g**3 + y + f*g**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**5\/11 + 4644*d**4\/11 + 60878*d**3\/11 - 392496*d**2\/11 + 504360*d\/11 = 0 for d.\nAnswer: -18, 0, 2, 3, 2335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29090928 is divided by 1222.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 3. Let d = f + 2. Calculate the remainder when 1 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102 (base 4) to base 8\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1\/84*x**7 + 1\/12*x**3 + 1\/36*x**4 + 0 - 1\/12*x**2 - 1\/20*x**5 - 1\/180*x**6 + 6*x. Let b(g) = 0. What is g?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38 (base 9) to base 16.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 2, k: 2, r: 1, x: 1, o: 1, e: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92328 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*h - h + 6*h**2 + 13*h in the form z*h**2 + x + r*h and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 12. Let l be 12\/g + 6\/(-4). Suppose l = 2*a - 10 - 6. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -907195985568.\nAnswer: -907195985563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - 5*r - 6. Let j(f) = -4*f**2 - 6*f - 7. Let s(g) = 5*c(g) - 4*j(g). Let x = 2 - 3. Let l = x + 4. Calculate s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/90 and 113\/1918.\nAnswer: 86310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8dd + -42?\nAnswer: -941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30243 is divided by 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33672.64 decades?\nAnswer: 4040716.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-55)*-26*(-70)\/10920?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 136. Let c be l(-31). Suppose 0 = 7*j - c - 34. Calculate the remainder when (-103)\/(-5) - (-6)\/15 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 536100 and 0.81276.\nAnswer: 536100.81276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -111*b**3 + 368*b**2 wrt b?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-1 - -10) + -3 - 359\/(-1) and 425.\nAnswer: 31025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v*w**3 - 2*v*w**2 + 5*v*w*y + 234*v*y**3 - v*y - 40*v + 52788730*w**3*y**3 - 3*w**2*y**3 + 11*w**2 wrt w?\nAnswer: 12*v + 316732380*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101001011110000001011?\nAnswer: -101001011110000000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 1.146.\nAnswer: -0.3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a factor of 29144364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*m + 530 - 267 - 266)*(-8 + 7 + 11).\nAnswer: 470*m - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - a728840?\nAnswer: -a728832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 15*h**2 - 14*h**2 - 4*h - 8 - 3*h. Let d = 34 + -37. Let u be (15\/(-6) + 1 - d)*4. Calculate x(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40780 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3128 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/2 + (-12)\/1. Let u = -4 + 28. Let l = u - n. Calculate the greatest common divisor of l and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 95 in -43803, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**5 + 22*q**4 - 60*q**3 - 612*q**2 + 2106*q - 1458 = 0.\nAnswer: -9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 + -32. Suppose -8*y + 20 = -k*y. Calculate the least common multiple of y and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5 + 5384*x**4 - 2075650*x**3 + 33739900*x**2 = 0 for x.\nAnswer: 0, 17, 445, 2230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + 0.3. Let u = p - 1.9. What is the second biggest value in u, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {d: 1, y: 2, g: 4, o: 1, v: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2426*l**3 + 2101 wrt l.\nAnswer: 7278*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30889774\/9 or -3432196?\nAnswer: -3432196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 269909 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30661+-18927.1465\nAnswer: 11733.8535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrrdrrrrrrrrddrr.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 496390836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 5 (c) -0.192 (d) -2 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-1534)*2\/7*(-777)\/(-444).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o = -8*o + 6699. Calculate the remainder when o is divided by 938.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*z - 935 = -17*z. Is 11 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 35cc0 - -1a?\nAnswer: 3600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19651538480 - 0.06.\nAnswer: 19651538479.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063852823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1265 (b) 58 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:33 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/396 - ((-2)\/39 - (-6888)\/(-52767))\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000190349373 rounded to 6 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 25*f**3 + 6*f**3)*(-2*f**2 + 0*f + 0*f + (2*f + 0*f - 4*f)*(f + f - 5*f)).\nAnswer: 120*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*s + 3 = -2, -2*l = 2*s - 4. Let o be (2 - l)\/(-1 - 0). Let d be (-2)\/(-6)*(o - -3). Which is the biggest value? (a) 5\/2 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 - -1) + 2 + 69\/49. Let p = 586\/245 + w. Suppose -p*t + 4\/5*t**3 - 2\/5*t**4 + 2\/5*t**2 + 0 = 0. What is t?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -230, -455, -678, -899?\n\"Answer: u**2 - 228*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1701)*1 + sqrt(1701))*-5)\/((sqrt(49) - -1*sqrt(49))\/sqrt(7) - (sqrt(21)\/sqrt(12) + sqrt(7))) + -3.\nAnswer: -3 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**7\/14 + 3*k**6\/10 - k**4 + 19*k - 47. Let x(s) be the first derivative of l(s). What is y in x(y) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 + 30*s - 22. Let f(i) = -i**2 - 6*i + 32. Let y be f(-11). What is the tens digit of t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -561.9 + 605. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35167092826.300000009 + -35167092791. Let b = 35.3 - k. Round b to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4064 * 73.3\nAnswer: 103.08912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295407?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963 equal to 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 382147.5 and -62.36.\nAnswer: 382085.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q - 2. Suppose -j + 39 = q. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 0, 348 in ascending order.\nAnswer: 0, 2, 6, 348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*o + 780 = 984 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.52 - -0.82. Let f = -5.7 - h. Let q = 780\/17 - 46. Put -5, f, q in increasing order.\nAnswer: -5, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 23*m**2 + 80*m + 21. Give w(26).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-4)\/i))\/i**(1\/10))\/(i**1)**23 assuming i is positive.\nAnswer: i**(-171\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = 5, -4*n + j + 951 = 0. Let t = -223 + n. Sort 4, t, -5 in ascending order.\nAnswer: -5, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - d**2 + d - 8. Let n(l) = l**2 - 2*l + 1. Let u be n(1). Let r be s(u). Calculate the common denominator of 10\/r*(-34)\/(-40) and 57\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 211\/44 - 3\/4. Suppose -2*u - 21 = -2*c + u, c + 5*u = -22. Calculate the common denominator of (-1)\/(c + 28\/(-36)) and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7378*o - 5*o**3 + 7378*o.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15872693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/2 - 5 - -48. Let n = c + -40. Suppose 0 = -n*b - 2*b + 840. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2 - 1 - 4)*(1 - 3 + 1)*(-13*b**2 - 27*b**2 - 206*b**2).\nAnswer: -738*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-1)\/(-8)*-4). What is the remainder when 51 is divided by (-12 + 13)\/(i*(-1)\/(-42))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/7))**22*((k*k**(-4)*k)\/k)\/((k\/(k\/(k**(-5)\/k)*k)*k)\/k))**44 assuming k is positive.\nAnswer: k**(3168\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*f + 74*f + 7 + 40.\nAnswer: -179*f + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 776511 is divided by 6861.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 15 = 3*a. Suppose -33 = -a*j + 22. What is the greatest common factor of 121 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 357*c**3 + 14835*c**2 + 164519*c.\nAnswer: c*(c + 23)**2*(c + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -700 divided by 13?\nAnswer: -700\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -244 at most as big as -3915\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - w = -250, 88 = y - 2*w - 42. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, r: 2, u: 4, j: 1}. Give prob of sequence uu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 52593551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132 and 268572.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-84)\/(-144)*-4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {q: 1, w: 1, j: 1, t: 2, z: 1, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-180)\/(-352)) - 108\/18.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 14*y**2 + 1. Let p be k(14). Let u be -223004 - (-9 + p)\/2. Round u to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -752179 - -1501.\nAnswer: -750678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 475 - 473. List the prime factors of ((-10)\/w + 4)\/(2\/(-1058)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 - m + 3. Let z be i(0). Let b be 1 - ((-3)\/z + -1). Solve 1 = y - b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3 and -22\/1625.\nAnswer: 4875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 773363 * 1.189.\nAnswer: 919528.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/9*(-12)\/(-8). Let b be ((-157)\/o)\/(76\/(-24) + 3). Let m = -262 - b. Does 19 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622832989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 167597322 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14, 62, -0.06, 0.2, -1\/7?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 31*t - 117. Give v(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/(26 - 15 - 5). Which is the fourth biggest value? (a) j (b) 13 (c) -2\/5 (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -417.1013 + 417. Let c = -443.0897 + h. Let p = 443 + c. Round p to two decimal places.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3, 125.43, -59, 0 in decreasing order.\nAnswer: 125.43, 0, -0.1, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-14))\/(-3)*152\/114.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i - 3 - 9*i + 6*i)*(-i**3 + 2*i**3 + 2*i**3).\nAnswer: 24*i**4 - 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -i + m, 71*i + 130*i + 4*m = 210*i - 148 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -1861*i**3 + 23*i**2 - i + 6. What are the prime factors of w(-3)?\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g - 125 = -5*a, 2*a + 2*g = 50. Let h(y) = -176*y**2 + 1. Let f be h(1). Let u = f - -275. What is the greatest common divisor of u and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 0*m**4 + 0*m**5 + m + 115\/2*m**2 + 1\/3*m**6 - 112 - 7\/3*m**3. Find the second derivative of x(n) wrt n.\nAnswer: 40*n**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900808683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 n, and 1 h when four letters picked without replacement from {o: 3, p: 4, l: 3, h: 1, n: 2, w: 3}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*q - 25*q + 14*q)*(q + 0*q + 2*q - 1) + 1 - 1 - q**2 as w*q + r*q**2 + l and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + -5. Let o = 9 + d. Let z = o + 22. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/34*(-2)\/(-4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2742, -2966, -3190, -3414?\n\"Answer: -224*a - 2518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5990 is divided by 973.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 4*v + 8 = 82, -4*s - 2*v + 118 = 0. Suppose f - 160 - 782 = 0. Calculate the remainder when f is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1019.268 to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1650)\/(-1450) + 80\/(-580).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*v + 9*v - 722 + 762.\nAnswer: 54*v + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*p - 780 = -2*p + 148*p + 12501 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 11:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*q)*(3*q + q - 3*q)*((202 - 236 + 192)*(10*q - 13*q - 6*q) - 5*q + 2*q + 4*q) to the form t + c*q + s*q**2 + i*q**3 and give i.\nAnswer: -5684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 17*v + 121 = 3*m, 2*m = 3*v - 341. Let f = v + -106. Let p(q) = q**3 - 8*q**2 - 10*q - 5. Determine p(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6591 is divided by 286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3147, 3127, 3107, 3087?\n\"Answer: -20*q + 3167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2822\/311 + 21620\/2177. Factor -12\/7*i**4 + l*i - 12\/7*i**3 + 9\/7*i**2 - 3\/7.\nAnswer: -3*(i + 1)**2*(2*i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) -1 (c) -2\/7 (d) 5 (e) 5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.3 - 45. Which is the closest to -1? (a) h (b) -0.5 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 p when two letters picked without replacement from bbpwbppwpwp.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 - 68 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2362 - -15.6252\nAnswer: -2346.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 416*n + 17. Let l be a(2). Let c = -362 + l. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/2)*m)**(-32)*(m**(-1\/4))**24)**15 assuming m is positive.\nAnswer: m**(-1770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - x - 7. Let s be u(-8). Let k = 12 - s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 74464\/9 or 8273?\nAnswer: 8273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132 + (-39 - -62 - (18 + 0 + 5))?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 7\/24*s**4 + 13*s**2 - 1\/60*s**5 - s**3 + 0 + 0*s. Give x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 31\/5*d**3 + 87\/20*d**4 + 12\/25*d**5 + 0*d + 117 + 9\/5*d**2. Let s(q) = 0. Calculate q.\nAnswer: -6, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8450 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -2, -4 in ascending order.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 8*f**2 - 6*f - 24. Let q be o(-8). What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Suppose 0 = 29*t - 31*t - 10. What is the nearest to 1 in b, -2\/7, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 4:40 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*o*z**3 + 4187*o - z**5 - 2962*z**4 - 3*z - 3 wrt z.\nAnswer: -36*o*z - 20*z**3 - 35544*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 33, -1660\/117?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*u + 85, -o - 150 = -5*u + 4*o. Suppose 21 = 3*s - 3*x, -2*x = 3*s - 4*x - u. What is the highest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -i + 7. Suppose -6*j - 4 = -i*j. Solve 4 = 2*s + j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.7564 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61719 divided by -3?\nAnswer: -20573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-4\/9)*h)\/h)**(-4\/17) assuming h is positive.\nAnswer: h**(-20\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rojzt. What is prob of sequence to?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2066 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(-18)*k**15*k*k**(-10)*k assuming k is positive.\nAnswer: k**79","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95565015 divided by -350055?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5451*g - 141489. Give p(26).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 230*u - 347. Give j(0).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/5 + 53169*n\/5 - 159534\/5.\nAnswer: 3*(n - 3)*(n + 17726)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eazeadeavzzee. Give prob of picking 1 z, 1 v, and 1 a.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 390*q**2 + 42*q - 13. Calculate o(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:10 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -0.436876?\nAnswer: 2.436876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4\/7 (b) -0.46 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*d + d, -3*q + 4*d = 0. Let a(o) = o**3 - o**2 - o + 5. List the prime factors of a(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 5:11 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 78 (base 11) to base 6\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 242268116 a multiple of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1984 or -4590?\nAnswer: -1984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002562284739 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - -0.07. Let h = -317\/5445 + 5\/363. Let u = h + -41\/90. Which is the closest to q? (a) u (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b - 42. Calculate h(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4 - 4*p**3 + 438*p**2 + 4*p - 437 = 0.\nAnswer: -23, -1, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 19*x**2 + 17*x - 18. Let v be i(-18). Let b be ((-33)\/6 + 6)*(-24)\/(-3). Sort 0.4, -0.1, v, b in ascending order.\nAnswer: -0.1, v, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 b when three letters picked without replacement from ccbcccbcccccccccocbc.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 2*w + (0*w - 2*w + 5*w)*(17 + 43 + 8))*(w - 4*w + 4*w)*(-6*w**2 + w**2 + 3*w**2).\nAnswer: -412*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20095407 is divided by 5023846.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2260267752.\nAnswer: 2, 3, 94177823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3959 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: What is the ten millions digit of 293971456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5*n\/(n\/n**(-2\/9)))\/(n\/(n*n**1))**25 assuming n is positive.\nAnswer: n**(268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 6*c**2 + 3. Let b be l(-6). Let i(a) be the second derivative of a**2 + 1\/3*a**b + 0 + a. What is the first derivative of i(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 15, e: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 711 + -478. What are the prime factors of o?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/((-1632)\/(-4533)))\/(-3). Let y = b + 5\/272. What is the common denominator of -123\/20 and y?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkok when four letters picked without replacement from {k: 7, o: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/446 smaller than 317\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -86*l + 345. Give p(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 9*u + 10. Let h be s(8). Let j(p) = p. Let v(b) = -3*b + 3. Let m(a) = 2*j(a) - v(a). Is 3 a factor of m(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {v: 2, u: 1, n: 2, l: 2, g: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/3))**(1\/5) assuming z is positive.\nAnswer: z**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 1 - 2*y**3 + 1 + 447*y**2 - 2*y.\nAnswer: y**3 + 447*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 112, 2, 817, -54 in increasing order.\nAnswer: -54, 1, 2, 112, 817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -198*g + 3371. Give y(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/89370 and -7\/29790?\nAnswer: 89370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -813\/5 - -163. Let h = -286\/219 - 2\/73. Let v = -22 - -43\/2. Which is the nearest to v? (a) h (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1284.283 rounded to the nearest 10?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3871, -7780, -11741, -15760, -19843, -23996?\nAnswer: -28225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2438?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35315 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1070, 4564, 10472, 18788, 29506, 42620?\nAnswer: 58124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 b when three letters picked without replacement from lbyiqiiyllyblnl?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 - (8 + 83 + -106)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11639137 is divided by 266.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/(h**(-3\/4)*h))**(-1) assuming h is positive.\nAnswer: h**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-1)\/w)**(-1\/21)*(w\/(w*w**(1\/2)))**(-2\/13))**(-31))**(-22) assuming w is positive.\nAnswer: w**(23188\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*s - 100146 = 195990, 2*i - s - 148065 = 0. What are the prime factors of i?\nAnswer: 101, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 11*p**2 - 28*p - 23. Let w be b(-13). Solve -5*x - 2*h = -5*h - 35, w*x + h - 7 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*q = 292, 2*r + 5*q - 54 = 92. What is the remainder when r is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 5*q + 2. Calculate d(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 2:59 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + sqrt(320) + 3*sqrt(320))**2 + sqrt(320).\nAnswer: 328*sqrt(5) + 5140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r - 104 = -31*r. Sort 1, r, -12 in decreasing order.\nAnswer: 1, -12, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -848.8 + 848.8004581. Round o to five decimal places.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let j be k(4). Let b(n) = -n**3 + 9*n**2 - 7*n - 9. Let r be b(j). Suppose 4 = -2*a + i - 1, 17 = -2*a + 5*i. Is r equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1638 - 8*n**2 + 39*n**2 - 422 - 10*n**2 - 23*n**2 as u*n + o + m*n**2 and give o.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27695640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -65*l - 22. Let d be v(-1). Let m = d - 43. Let c be (4\/(-3))\/(2\/(-6)). Solve -2*o = -c - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/702104 and 12\/215.\nAnswer: 3510520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*w - 1. Suppose -5*z + 23 = 2*i, -w*z + 4*i - 1 = 3*z. Let r(y) = 3*y - 6. Let v be r(4). Solve f - 12 = 4*b, -5*f = -z*b - 3 - v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356*g**2 + 713*g**2 - 346*g**2.\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 101732874 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 0.1837, 1, -1, -77 in decreasing order.\nAnswer: 1, 0.1837, -3\/8, -1, -77","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 4:37 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 54. Let v = k + 7. Let m = v - 13. Does m = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(108) + 1 - (sqrt(363) - (sqrt(363) + 0))*-5)**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -7*z**5\/10 - z**4\/12 + 34*z**3\/3 + z + 23. Find the second derivative of g(x) wrt x.\nAnswer: -84*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, 194384 in descending order.\nAnswer: 194384, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 2*u**2 + 5*u - 6. Let i be s(2). Solve i*o + 19 = -1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1484105*n**2 + 45*n + 2267?\nAnswer: 2968210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 300.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 45017\/28 + (-2)\/(-8). Let w be 221\/39 + 1\/(-3)*-4. Suppose -w*y = -v - 6631. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of 0 + 0*z**3 - 1\/60*z**4 + 1\/10*z**2 - 3*z. Factor a(d).\nAnswer: -(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + -0.6. Suppose 2*u - 17 + 27 = 0. Which is the biggest value? (a) y (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2165\/(-75775) - 121\/(-560).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -101\/9 - -11. Which is the smallest value? (a) 3 (b) 1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(208)*6)\/((sqrt(4) - sqrt(144))*5).\nAnswer: -12*sqrt(13)\/25 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 0*w - 4 - 1\/24*w**4 + 2\/3*w**3 + 2*w**2. Let f(p) be the second derivative of d(p). Differentiate f(y) wrt y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 40. Let f(v) = v**2 - 7*v - 11. Give f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 + 3*p**3 + 2*p**2 - 2*p**2.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 36*n + 1482. Give p(-53).\nAnswer: 581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4. Let o = 55 - 49. Solve 0 = -3*t - b*t - o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {v: 11, w: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3943 - -3332. What is the closest to 2 in 5, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 - 5*a**2 - a + 5 = 0 for a.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222716 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*o**2 + 520*o**5 - 10*o**2 - 2*o**2 - 267*o**5 + 16*o**2 wrt o.\nAnswer: 15180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*b = -594 - 2326 - 647 for b.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3295559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1360?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4398 = 20*g + 1098. What is the remainder when 676 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -18. Let s = 14 + i. Suppose -s*h - 2*m = 3*m - 20, 5*m = 5. Solve h*y = -1 - 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -110. What is the tens digit of 234\/(-81) + 3 - (-3814)\/j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 29*u**3 - 671*u**2 - 700*u + 9. Let w(n) = -7*n**3 + 168*n**2 + 175*n - 2. Let x(p) = -9*w(p) - 2*z(p). Let x(t) = 0. Calculate t.\nAnswer: -1, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + 0*x + x)*(-10983*x + 2115083 - 2115083) to s + w*x + t*x**2 and give t.\nAnswer: 21966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + v**2 + 11. Determine a(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12179 and 8333?\nAnswer: 158327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from fjfnjfj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*y + 5*j, 9*j - 4*j - 29 = -y. Let c(r) = -r**3 + 3*r**2 + 3*r + 4. Let u be c(4). Solve 4*l + 4*d = 20, y*d - 14 - 2 = u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + x + 7 = -3*v, 4*v = 5*x + 11. Let s = v - -8. Calculate the remainder when s is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3985 divided by -797?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1007882701*a + 10046670 wrt a?\nAnswer: 1007882701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5436)\/508266*(-136)\/6)\/(4\/1).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/168979 and 7\/4.\nAnswer: 675916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5228 - -5236. Calculate the least common multiple of 146\/6 - 14\/(-21) and z.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*n + 207. Round n to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 2*r + 6*r - 5*r. Let t(x) = -12*x - 3. What is y(t(q))?\nAnswer: 12*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 20*a**2 + 35*a - 200. What is the remainder when t(9) is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22292612242.6 minus -1.4?\nAnswer: -22292612241.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/50)\/(1\/(-1)). Which is the closest to -1? (a) -1 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*r - 337 - 41 - 25 + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1966 is divided by 648?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 449210527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 548121 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5533 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/330 and 7\/4015.\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3845, 15364, 34563, 61442?\n\"Answer: 3840*o**2 - o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1334*d = -1328*d - 40272. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.244.\nAnswer: 0.0732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -6. Suppose -1 = -4*q - w*f, 9 = -5*q + 4*f - 0. Suppose 4*s = -2*g - 4, -s - 4 = 4*g - 3. Which is greater: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317860 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**2*q**3 - 18*g**2*q**2 + 5*g**2*q - 38*g**2 + 7*g + 16485047*q**3 - 8*q**2 wrt q.\nAnswer: 6*g**2 + 98910282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -4*h - 4*u, 2*u = 4*h - 16. Suppose 0 = -h*k + 5*n - 5 - 12, -k = -2*n + 7. Solve -i + k = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031 = 346*s - 77*s + 12575 - 425 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1334, 3968, 8382, 14576, 22550?\n\"Answer: 890*p**2 - 36*p + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + 4 - 4 + (3 - 2*m - 3)*(4 - 4 + m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of (13350\/35)\/(((-153)\/84)\/(-17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -270*d*h**5 + 519*d*h**3 + 8*d*h**2 - 3*h**3 + 8*h**2 - 2562 wrt h?\nAnswer: -16200*d*h**2 + 3114*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 11073.\nAnswer: 4\/11073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**7\/21 + 7*f**4\/12 - 5*f. What is the third derivative of m(p) wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxsxs. Give prob of sequence xxs.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23041262 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6440, -6438, -6434, -6428, -6420, -6410, -6398?\nAnswer: -6384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -563881?\nAnswer: -563883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 13120102342?\nAnswer: 13120102332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(165) + sqrt(165)*1)\/sqrt(11) + sqrt(15))\/(sqrt(15)\/(sqrt(27) - sqrt(3))))**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 3, l: 3}. What is prob of sequence rrl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 14*s - 90. Solve 3*n - s = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 4:13 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(99)\/sqrt(3)*2)\/sqrt(768) - (sqrt(110)\/(sqrt(250)*-2 + sqrt(250)) + -1)))**2*3.\nAnswer: 5577\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3105 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*1*-1*30\/(-12). Suppose -g + 130 = d*j - 88, -5*g = 10. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**5\/4 + 169*x**4\/4 + 2139*x**3\/2 + 3779*x**2 + 3614*x = 0?\nAnswer: -139, -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (40 - (-34 + 124)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x - 1. Let j(v) = 2 - 6 - 9*v + 3. Let l(n) = -3*j(n) + 5*z(n). What is the first derivative of l(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-16)*-3)\/(9\/(-24)*4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -128, -258, -388?\n\"Answer: -130*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874112.2 rounded to the nearest one hundred thousand?\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 14*o**2 + 10*o - 6. Let r(b) = -2*b**3 - 29*b**2 - 20*b + 11. Let a(y) = -5*p(y) - 2*r(y). What is a(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/5*((-152908)\/(-344))\/127.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -36*p + 1. Let c = -2 - -4. Suppose -7 = 3*h - 4*j + 2*j, 1 = -5*h - c*j. Is k(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2546769, 5093529, 7640289, 10187049, 12733809, 15280569?\nAnswer: 17827329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*f - 0*f - 15. Let m = 7 - 16. Let p be -5 + 4*(-28)\/(-16). Which is the closest to f? (a) p (b) -1\/3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 636930035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - o. Let m be q(1). Let k = m - 1. Is 6 a factor of (-3)\/3 + k + 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a week?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 808 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 2:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o + 4*c, 3*c + 6 = 2*o + 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 41, 62, 91, 128, 173, 226?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:16 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*o + 48, -3*v - 36 = -2*o - 3*o. Let y = 17 + v. Suppose -2*g - y = -t, t + 5*g - 40 = -4*t. Calculate the remainder when 12 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 2 = -40*i. Is -5\/4 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) 5 (b) 3 (c) -2\/11 (d) 0.2 (e) 2848\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from mddmmddmmde?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**4\/6 + 20*z**3\/3 + 12*z**2. Let r be v(6). Let j = 35 - 24. Solve -j = 5*i - g, -3*i - i - g = r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 + 24*h + 85. Let i(y) = 4*y**2 + 36*y + 128. Let q(p) = 5*i(p) - 7*t(p). Let v be q(-3). Solve -5*z = -5 - v, 0 = -5*o + 3*z - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16266, -16562, -17058, -17754, -18650, -19746, -21042?\n\"Answer: -100*u**2 + 4*u - 16170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 13, 3 in decreasing order.\nAnswer: 13, 3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805667661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 - 6*z + 6. Let u(i) = -4*i**3 - 10*i**2 + 19*i - 18. Let s(q) = -7*t(q) - 2*u(q). Is 12 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1521025 milliseconds in minutes?\nAnswer: 0.000035868375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/((-2016)\/(-54)))\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 104 - -3?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 23. Suppose 0 = -5*n - 24 - q. Put n, -4, 0 in descending order.\nAnswer: 0, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 135 = 5*f - 2*f, 5*d + f = -225. Is 37 a factor of (120\/d)\/(1\/(-48))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 1482*b - 3687. Let v(z) = -3*z**2 + 1484*z - 3687. Let m(t) = 3*a(t) - 2*v(t). What is the first derivative of m(j) wrt j?\nAnswer: -6*j + 1478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*a**5 - 1850*a**3 + 59*a**2 - 282233965*a - 1 wrt a.\nAnswer: -1080*a**3 - 11100*a + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 4*q - 1. Let s(g) = -3147*g**2 - 2136*g - 6. Let u(b) = 4*p(b) - s(b). Find the second derivative of u(a) wrt a.\nAnswer: 6310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -19. Suppose -5*b + x = -7. What is the third derivative of -4*u**2 - u**b + 5*u**2 + 2*u**3 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -1, 1.\nAnswer: -1, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 409451 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -45*(-57)\/51300*(-7)\/((-35)\/(-12)).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 + 34061445*h**2 - 96682091751000*h + 1450223712450000.\nAnswer: -3*(h - 5676900)**2*(h - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3 + -1)*-9. Suppose -x - c*s = -184, 5*s + 228 = 3*x - 254. Let z = x - 102. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 4019?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/(24\/1584). Suppose 2*u = 3*p - 28, -z = 4*p + u - 74. Suppose 4*s + x - p = -0*x, 3*s + 2*x = 4. Solve s*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 9*n**5\/10 + 7*n**4\/8 - 11*n**3\/6 - 7*n**2\/4 + n - 14. Solve h(o) = 0 for o.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3478328.\nAnswer: 2, 7, 179, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 7*j**2 - 3*j - 2. Let w be t(6). Suppose -2*c - 5*m - 35 = 3*c, 3*c + 5*m + 15 = 0. Let b = w + c. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 143?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -55. What is the third smallest value in 5, -50, 1\/4, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 75*c + 202. Calculate the remainder when 60 is divided by g(-73).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 59*z + 287 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1500*p + 2233 - 2233 + 1499*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1767\/5 + -354. What is the nearest to -2\/9 in -0.8, 1, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4893552941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -7*d - 20. Let p be m(-5). Suppose 0 = -7*y + 2*y + p. Suppose -7*v = -5*v + y*v. Which is the second smallest value? (a) 0.4 (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4052*n**3 + 1343*n**3 + 1357*n**3 + 20*n - 2*n**2 + n**4 + 3 + 1354*n**3 in the form m*n + r + b*n**2 + x*n**3 + d*n**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/5 + 58\/(-10) + 6. Solve z = f - 5*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132a (base 11) to base 4.\nAnswer: 13210200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 243 + -237. Suppose 0 = 3*k + c - 18952, -2*c = 5*k - z*k + 6329. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -275 - -428. Let x = r + -131. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 2, -5, -2.31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000027584 to six dps.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/75)\/(214\/(-2675))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29539815979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -0.47?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**9\/56 + y**5\/20 + 2*y**2. Find the third derivative of f(u) wrt u.\nAnswer: 1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 4*n + 60, 3*l - 16587*n = -16607*n + 68 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o = 22*o + 165. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -129 + 766177?\nAnswer: 76604b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*g - 3 = -3*s, -5*g = -s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r. Let p(t) = 56*t + 14. Let q(b) = -p(b) + 70*z(b). Let h = -569 - -6252\/11. What is the common denominator of q(3) and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, n: 2, h: 4}. What is prob of sequence hnhk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 7*p - 1. Let a be u(-9). Let d = a + 27. Suppose -4*o - d + 88 = 0. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-356)\/(-6))\/(35\/105) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 0 - (-284)\/10 - 14\/35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94717125065410.999911 + 94717262628882. Let h = p - 137563604. Let y = -133 - h. Round y to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767 = -5207*z + 5266*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 729504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*y + 10, d + 4*d = 2*y + 2. Suppose -4*j + 24 = 3*s, -3*j + d*s + 2*s - 7 = 0. Let c be 2\/(-1*(-2)\/20). Solve -2*i + c = j*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*s + l - 5*l - 12, -4*s - 12 = -2*l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 - 15*l - 17. Calculate n(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 580\/11 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/(-10) + 8\/20. Let q be o\/(-1)*1\/2. Is q > -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 183*x + 1 - 1.\nAnswer: -183*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 12032.\nAnswer: 60160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -10*z - 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {g: 2, k: 1, t: 1, m: 2, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((8\/10)\/(2\/(-5))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -752 = -10091*y + 10044*y for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*m**3 + 199*m**3 + 29680*m - 9881*m - 9877*m - 9922*m.\nAnswer: 818*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 8*x - 5. Let i be z(-6). Let u = 43 - 33. Let r = u - i. Let y(s) = -s**3 + 2*s**2 + 2. Give y(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -2205\/481?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.914352 plus -3361?\nAnswer: -3350.085648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 7*a + 12. Let h(q) = -6*q - 10. Let x(l) = 6*h(l) + 5*r(l). Let v(j) = 43*j**2. What is x(v(b))?\nAnswer: -43*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -4 - ((6 + -2 - -1) + -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of b**3\/3 - 85*b**2\/2 - 41*b - 65. What is the first derivative of d(y) wrt y?\nAnswer: 2*y - 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**8\/240 + r**5\/20 - 4*r**3\/3 + 7. Let z(y) be the third derivative of d(y). What is the second derivative of z(s) wrt s?\nAnswer: -84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4176 divided by -29\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-9)\/(-90))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-112)\/(-84)*378\/4. Let k(p) = -p**3 + p + 14. Let y be k(0). Calculate the greatest common factor of v and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*w + 413*w - 234 = 216*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*-1)\/sqrt(6) + sqrt(57)\/(sqrt(3) + sqrt(12)\/sqrt(4)))*1 + (4 + (sqrt(2299) - sqrt(2299)*-1) + -1)**2 + -4 + -2.\nAnswer: 263*sqrt(19)\/2 + 9199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4182 is divided by 219?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 457081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (6 - 7) + (-4 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 4*j**2 + 3*j + 4. Let w be t(3). Suppose r - 25 = -w. Solve -z - r = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.10154?\nAnswer: 0.040616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*2)**2 - 6*sqrt(7)*-2.\nAnswer: 12*sqrt(7) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 3*x**2 - 5*x + 1. Let t be s(-4). Suppose 56 + 59 = t*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7)*21\/(-12))\/((-630)\/(-51660)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/29)*r*r*r**13*r assuming r is positive.\nAnswer: r**(462\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 187018 or 187037?\nAnswer: 187037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/2)\/(1\/2). Let r(s) = -s**3 + 6*s**2 - s - 5. Let c be r(n). Does 3 divide ((-27)\/c + 1)*-10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 34\/10)\/(18\/(-10)). Let i = 8.7 + -9. What is the nearest to i in -3, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93953799 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 + 6085*b\/2 + 3042 = 0. Calculate b.\nAnswer: -6084, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 1099621258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7008 and 232797.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + x - 3 = -13, 2*p - 3*x = 0. Which is the third smallest value? (a) -5 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13110 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 16 = -200. What is the remainder when q is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 86) + 22 + 25\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -475, -455, -413, -337, -215, -35?\n\"Answer: 2*n**3 - n**2 + 9*n - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 490466 divided by -10\nAnswer: -245233\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z + 3. Let p = -119 + 123. Suppose 5*t = 3*w - z, p*w = t + 5 - 1. Solve 0 = -2*h + a - 6*a, t = -5*h - 3*a for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8785\/1004)\/((-115)\/184).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 9*x**2 + 6*x - 13. Let d be j(-6). Let v = 55 - d. Which is greater: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 2\/6 + 638 + -637. Let i = -2.9625 - 0.0475. Let j = 0.01 + i. What is the closest to n in 2, j, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 2:45 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -5429 - 5428 + 10849, 3*q + 7 = 5*a for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/6 + 342*g. Let y(w) = -295*w - 5. What is y(i(l))?\nAnswer: 590*l**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2282 + -0.2282. What is the third biggest value in 1\/16, -0.3, 1.5, o?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 plus -2.569529?\nAnswer: -2.609529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*v = -10 + 12, 34*m = -v + 241 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**(-14\/5)\/i*i)\/i*i)*i\/(i*i**(-17)\/i)*(i\/(i*(i\/(i*i\/i**1)*i)\/i))**(-3\/10) assuming i is positive.\nAnswer: i**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/3 (b) -0.1 (c) -2\/11 (d) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633944624?\nAnswer: 2, 41, 966379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -935*a*m**5 - a*m**2 - a*m + a - 13*m**2 wrt m?\nAnswer: -56100*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -c + 131, -45 = -v + c - 0*c. Suppose -3*m + 2*b + 13 = 0, 2*b - 6*b = 4*m - v. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 i when three letters picked without replacement from {w: 1, i: 2, j: 3, c: 10, s: 3}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8*j**3\/3 - 14165*j**2\/3 - 97291*j - 35820 = 0.\nAnswer: -20, -3\/8, 1791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22311\/20 - -1117. Calculate the common denominator of 37\/18 and z.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336 is divided by 192.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53210*k**3 - 32215*k wrt k.\nAnswer: 319260*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1285)\/40 - 26\/1248*-6.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggrgjrjrgrjrjrrjr. Give prob of sequence gjg.\nAnswer: 25\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert c150a4 (base 14) to base 6.\nAnswer: 351241052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -89*i**4\/12 - 560*i. Let g(j) = -4*j**2 - 2*j**2 + 7*j**2. What is g(b(c))?\nAnswer: 7921*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85129*s**3 + 44420*s**2?\nAnswer: 510774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*s**4 + 2*a*s - 4*a + 231*s**4 - 68 wrt s.\nAnswer: -4*a*s**3 + 2*a + 924*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1282989.3929 and -0.09?\nAnswer: 1282989.3029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25928, 51874, 77844, 103850, 129904, 156018, 182204, 208474?\nAnswer: 234840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(((-58)\/(-4524))\/(-7*(-3)\/6))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -44, -2\/15, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*i = 4*w - 92*i + 16, -6*w + i - 34 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, b: 1, e: 4, s: 4}. Give prob of sequence bed.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(-44)\/12*1*-10. Let i = 338 - q. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004417269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/20 - 7*k**4\/12 - 5*k**3\/6 - 30*k**2. Calculate i(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243227691?\nAnswer: 47, 463, 57131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 + 128. What is the closest to 2\/5 in 1\/6, 2\/13, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -11. Calculate the highest common divisor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 2 = 4*o. Suppose -2*k - 2*q = -o, 12 = -2*k + 4*q + 2. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/441 and 17\/2695.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 minus -0.0519?\nAnswer: -0.0281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2)**2 + (0 + sqrt(2299))**2.\nAnswer: 2983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 55*y + 54. Let z(i) = i**2 - 55*i + 54. Let p(l) = -4*g(l) + 3*z(l). Factor p(n).\nAnswer: -(n - 54)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 46*k**2 - 5*k + 3. What is f(-2)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxcccxccccxcccxccx. Give prob of sequence ccxx.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111202 or 2112856\/19?\nAnswer: 2112856\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + 0 + 20. Let y = -32 + 34. Suppose 0 = b - 0*b - y. Solve -b*q = 5*o + 20, 2*o - v = q + 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -2*x - h + 273, -2*h - 581 = -5*x. Let q = -51 + x. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 5*w**2 + 4*w + 2. Let f be r(-4). Suppose 2*j + f*j = 12. Let n be 6\/5 - (-4)\/(-20). Calculate the highest common factor of n and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -64, -19, 64, 197?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -212?\nAnswer: 212.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 0.3, 0, -2, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2231513 (base 6) to base 13.\nAnswer: 3c675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4564 by 1.\nAnswer: 4564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1922075 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/720 - h**4\/12 + 10*h**2. Let i(z) be the second derivative of m(z). Let y(r) = -2*r**2 - 3 + 3. Calculate i(y(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*u = -u - 45 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3111*a**3 - 152*a**2 + 2.\nAnswer: 18666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = -11*t + 187. Let i(r) be the second derivative of -t*r - 1\/8*r**4 - 3\/4*r**2 + 1\/2*r**3 + 0. Suppose i(s) = 0. What is s?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/(-125)*(-246 - -1). Let y = h - 21. Is 21 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l**3 - 18*l**3 + 50*l**3 - 19*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 696940526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + -0.35. Which is the closest to 1\/4? (a) 3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20606.6007 hours?\nAnswer: 122.6583375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30464 and 20992.\nAnswer: 2498048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 1082*q - 1086*q. Suppose 3*x = -1 - 8. Let n be 3\/27*x*q. Is 1.9 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 11545975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2322 - -2298.53. Let d = -0.67 - v. What is d rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1297*z**2 - 12315206*z - 12315201*z + 24630407*z.\nAnswer: -1297*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 4, -5, -4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {r: 4, c: 1, n: 1, i: 1, p: 8}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 38 + 34 + -14 + -129?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -177.3\nAnswer: 1595.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 16*m**2 - 55*m - 60. What is w(-21)?\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)\/((-1)\/(-14)). What is the second derivative of -p + 2*p + 3*p - r*p**5 + 0*p wrt p?\nAnswer: -280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4 - -2)*6. Suppose -p*y = -y - 5. Let o = y - 3. Sort 0, 2, o.\nAnswer: o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -48. What is the remainder when 1 - i*12\/(-3) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1113*d**2 + 30*d - 15?\nAnswer: -2226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -13 - 3. Suppose a*k - 6*k = 0. Suppose 3*q + 2*n - 67 = k, 0 = 3*n + 10 + 2. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 40.03. Let y = -57 - m. Let r = -14 - y. Put 1\/5, r, -0.2 in descending order.\nAnswer: r, 1\/5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let g(y) = y**3 + 8*y**2 - y - 5. Let n be g(-8). Suppose v + n*u = 6*u - 10, -4*v - 3*u - 10 = f. Are v and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26*(92 + (-26136)\/286)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2617565, -5, -8, 5 in ascending order.\nAnswer: -2617565, -8, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.29271 - -1334.19271. What is j rounded to the nearest 10?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 + 24*w**3 + 4*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1137 and 19708?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1050 = 4*g + 4*n + 1014, -13*g + 27 = -2*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (783*12\/432)\/(-3)?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -86. Is 8 a factor of (20 - q)\/((-15)\/(-30))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*m**5 + 2*m**2 - 44*m wrt m.\nAnswer: 400*m**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - j**2 + j - 1. Let a be (-2)\/((0 + -2)\/(-2)). Let l(q) = q - 3 + 5*q**3 - q**2 - 3*q**3 + 1. Give a*t(k) + 2*l(k).\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 0.838. Let a = u + 0.232. Round a to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - g - 2*g + 2822*g**4 - g**2 - 2826*g**4 to b*g**4 + s*g**2 + q + w*g**3 + z*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 1421 = 1361 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-80) - (-5)\/(25\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)*18\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25771 + 25770. Put -12, 18, g in descending order.\nAnswer: 18, g, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 34392292*i + 147853718626658.\nAnswer: 2*(i - 8598073)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18762*r**3 + 14*r**2 + 183.\nAnswer: -112572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m)**(-48)\/(m**1*m)**(-10\/9)*((m*m**3)\/(m**(2\/11)\/m))\/(m\/m**(-4)*m**(5\/6)) assuming m is positive.\nAnswer: m**(29707\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/129 and 38.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35\/840*(-28272)\/(-38)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*(2*z + 0*z - 3*z)*(2 - 2 - 1).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:41 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from bvbbovbobbvjib.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3858794 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6) + (-544)\/48)*(-6 - 17\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 21*g + 1. Suppose -6*n + 12 = -4*n. Is l(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -39. Let c(f) = -o - 2*f + 4*f**2 - 3*f**2 + 7. Is 22 a factor of c(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 19*p + 475 = 501. Let t(c) be the second derivative of 2\/9*c**p - 1\/27*c**3 + 0 + 35*c - 1\/54*c**4. Factor t(y).\nAnswer: -2*(y - 1)*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 47*c + 4. Let t(o) = -47*o - 4. Let d(i) = 5*b(i) + 4*t(i). Let q be d(6). What is the smallest common multiple of 6 and 4048\/q - 1\/13*2?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-7 + 0 + 0)) + 3 + 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**23)**(2\/27)\/(f\/f**(-11)*f\/(((f*f\/(f\/f**(5\/3)))\/f)\/f*f)) assuming f is positive.\nAnswer: f**(-260\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1050 and 126.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 - 10*x**4 + 7*x**4 + (-11 + 7 - 10)*(36*x**4 + 5*x**4 - 14*x**4 - 3) in the form o*x**3 + b*x**4 + p*x + t + f*x**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561 - -7295\/13. What is the fourth smallest value in 0.03, z, 0.1, 0.5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(4 + (-4)\/(-2)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 9:33 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*n = -7*n + 82, -4*w = -4*n + 312. Let r be (-14)\/w - (-15)\/(-22). Let d = -121\/2 + 59. Which is the biggest value? (a) d (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 573637 - -2.\nAnswer: 573639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c - 39*c + 4*r - 189140 = 0, 0 = -2*c + 2*r - 75658. Let n = -25597 - c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5302 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = r, 0 = -2*r + r - 2*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 4. Let o be g(6). Let i(h) = 2*h + 8. Let x be i(-6). Let j be -2 + o\/x*62. Solve 0 = p + 5*a - j, -p + 4*a - 9 = 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.018776203773 to 7 dps.\nAnswer: -0.0187762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from cwww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 + (2 - -123) + (-16 - -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4074*u + 4074*u - 2*u**3 - 618*u**2 + (0*u + 0*u + 2*u**2)*(5*u + 0*u - 3*u) in the form l*u + r + j*u**2 + y*u**3 and give j.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9638.990778 - -9639. What is b rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1921.893 rounded to zero dps?\nAnswer: -1922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 16 = 6*p - 2*p, 4*p - 2*m - 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -478000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -122400000 rounded to the nearest one million?\nAnswer: -122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 3. Let d be t(-3). Let p = -36\/19 - -434\/209. Is d > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + t**5 + 5*t**5 + (0 + 3 - 4)*(29*t**5 - 69*t**2 + 69*t**2 - t**2 - t**5 + t**2 + (0*t + 3*t - t)*(t**4 + t - t)).\nAnswer: -28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1020\/7 - 146. What is the nearest to 1 in -2\/9, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201022100 (base 3) to base 8\nAnswer: -33374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -825.1 + 825. Which is the closest to -0.1? (a) 4\/5 (b) -12 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 278 in -3\/7, -39, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let u(b) = -2*b. Let w(g) = -5*r(g) + 2*u(g). Suppose 238 = 3*t + v, 0 = -t + 3*v + 2*v + 90. Let s(f) = -t + 44 - 4*f + 36. Give w(s(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.469740698 rounded to 5 decimal places?\nAnswer: 0.46974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 3. Let r = -1.2 - 0.8. Which is the biggest value? (a) o (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24503759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - n - 1. Let j(i) = -5*i**3 - i**2 - 4*i - 1. Let l(w) = -j(w) + 3*p(w). Let y be l(1). List the prime factors of (-316)\/(-1*y) - (-60)\/20.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-23))\/((-544)\/204))\/(6\/(-8))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/11 in 2\/5, 0, -37, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*28\/((-1344)\/80)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 129.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.635 - -14.63493493. Round d to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -20. Suppose -3*k - 4 + 1 = 0. Let m be (4 - (-1)\/k) + -2. Is n > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 0)*(-i**5 - i**5 + i**5) + 5*i**5 + 7*i**5 - 5*i**5.\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36253*a**2 + 341*a - a**3 + 18123*a**2 + 18130*a**2 + a**4 to the form s*a**3 + l*a + y*a**2 + o + x*a**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 195\/12 + 6\/(-24). Let j be c*(0 - (3 - 6\/4)). What are the prime factors of (-4)\/j - 3644\/(-24)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 20 + 0 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -6*n + 8*n. Let v = n - -18. Solve 5*t - 20 = -g, g - v = -0*g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + (5*(sqrt(832) - (sqrt(832) - (sqrt(832)*-2 - sqrt(832)))) + -3 - (0 + (2*sqrt(832) - sqrt(832)) + sqrt(832) + 5)))**2.\nAnswer: 3264*sqrt(13) + 240591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -53*o**3 - o**2 - o. Suppose 2*y = 29 + 7. Calculate the remainder when g(-1) is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18)*6)\/(2\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -y - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2702346*i**2 - 1084528?\nAnswer: 5404692*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9215166.\nAnswer: 2, 3, 1535861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 117 = -5*c + 153, 4*c = 20. Calculate the remainder when j is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, -17, -49, -91, -143, -205, -277?\n\"Answer: -5*h**2 - 7*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**3 - 36*w + 36*w + w**2 + (w**2 - w**2 + w**2)*(-2*w + 4*w - 3*w).\nAnswer: -6*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 58 (b) 0.2 (c) 5\/6 (d) -2.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1520, -3044, -4566, -6086, -7604, -9120, -10634?\nAnswer: -12146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4773732 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.21 + 2.21. Which is the third biggest value? (a) p (b) 3 (c) 0.2 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 4 + -3 - -249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence romd when four letters picked without replacement from {m: 5, o: 7, c: 2, d: 3, h: 2, r: 1}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 10*v - 26 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/1380941 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -13*x + 48*x + 12*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 67*k + 453. Let p be g(-8). Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1215?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 9*y - 19)*(-4 + 5 + 3) in the form a + h*y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35a1 - -2?\nAnswer: -359a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 25 + 25 + -43.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109, 247, 371, 475, 553?\n\"Answer: -r**3 - r**2 + 148*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, -18, -453, -1510, -3447?\nAnswer: -6522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + (sqrt(612) - 1*sqrt(612)*6) + 4)**2.\nAnswer: -192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {t: 2, x: 1, z: 1, i: 7, f: 3}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*(sqrt(75) + -2))**2.\nAnswer: -4500*sqrt(3) + 17775","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-319270)\/62 - 0\/1. Let o = g - -5150. Let z = o - 2665\/62. What is the common denominator of 89\/22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = h + 480. Calculate the common denominator of 1 + (-5)\/h*-89 and 126\/(-40) - (-2)\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -693 + 1214. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -765 + 771. Let n(i) = 11*i + 7*i - 7 - 17*i. Determine n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11*i**2 - 203*i - 932. Calculate h(-5).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 2 - -3) + -3. Suppose -4*n + n = -r - 12, 4*r - m*n + 8 = 0. Solve -l - 15 = -4*f, -2*l + 5 = r*f - 4*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10)*15)\/((-9)\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3*y - 15, -2*s + 36 = 5*y - 2. Let x = -24 + s. Is x\/2*(-5 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 0*o + 3\/5*o**5 - 1 - 2\/3*o**3 + 0*o**2 + 0*o**4. Find the third derivative of a(t) wrt t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from kklekeelelkkekkel.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ca847 - -4?\nAnswer: ca84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30545202 a multiple of 1338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by 4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let q be g(-3). Let n(f) be the third derivative of -f**6\/120 - f**5\/15 - f**4\/12 - 2*f**3\/3 + f**2 - 27*f. Determine n(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/31, 5, -0.8?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:02 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -84244*b**2 - b + 3. Let h(l) = -5*l**2. Determine u(h(v)).\nAnswer: -2106100*v**4 + 5*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189311 is divided by 128.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42659, -170657, -383989, -682655?\n\"Answer: -42667*u**2 + 3*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6104 (base 11) to base 8\nAnswer: -17657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c + 436*c + 3626 = -23*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 16*z + 33 + z + 39.\nAnswer: -15*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 13*k**2 - 13*k - 3. Suppose -3*x + 5*r = -52, 0 = -0*x + 5*x + r - 68. Let g be i(x). Suppose 40 - 18 = g*m. Solve -m*s - 15 = -7*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4260 + 4265 + 26188*u**2 + 24448*u**2.\nAnswer: 50636*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3)*((-844)\/8 + -4). Let f = j + -70. Suppose 0 = -f*l + 75 + 24. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 41574, 41576, 41578, 41580, 41582?\n\"Answer: 2*i + 41572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 90. Let o(n) = 3*n**2 - 1787 + 1787. What is d(o(p))?\nAnswer: 6*p**2 + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 - 14*m + 3. Let y(b) = -6*b**2 + 13*b - 4. Let t(r) = -5*x(r) - 6*y(r). What is t(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573300 by -156.\nAnswer: 3675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 divided by -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/60 - 17*b**3\/30 - 6*b. Find u, given that t(u) = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110020110 (base 3) in base 10?\nAnswer: -264801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 5184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6964949 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*q - 57 = 0, 4*q - 3 + 15 = 0. Suppose 3*w - 3*x - 23 = 52, 0 = -2*x - 8. Calculate the remainder when w + (-8)\/12*-3 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.803 - -3.1341?\nAnswer: -16.6689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8533367 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/9, -1\/2, -1, 6\/25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186513 or 186499?\nAnswer: 186513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15.2 - 48.8. Let c = -64.097 - q. Let h = -0.11 - c. Round h to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -8, -6, 37, -13 in descending order.\nAnswer: 37, 0, -1, -6, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 6. Calculate the remainder when 29 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(30\/112) + (2 - 0) + (-125)\/75\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1571*m**3 - 2*m**2 + 1. Let b be k(-1). Let w = -18787\/12 + b. Calculate the common denominator of 1 + 0 - 189\/(-12) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -365f + -eb3?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r + 45. Let d(q) = -q - 3946. What is d(i(n))?\nAnswer: 18*n - 3991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13*d**2 - 2 - 15*d**2 + 26*d**2 + 3.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.053319 - 10\nAnswer: -10.053319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.0592 + 11.9408. Put -4\/7, j, 31, 1\/8 in decreasing order.\nAnswer: 31, j, 1\/8, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -209, -1206, -3007, -5612, -9021, -13234, -18251?\n\"Answer: -402*r**2 + 209*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*((-54)\/4)\/(-9). Put 5, -4, k in ascending order.\nAnswer: k, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/5 - 16*k**4\/5 + 38*k**3\/5 - 16*k**2\/5 - 8*k + 32\/5 = 0. Calculate k.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1885 = 4500*q - 4877*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*t - 0*t - 419, -5*s + 2*t = -565. Let a(h) = -2*h**2 - h**3 + 2 - 112*h + s*h - h**3. Give a(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56851?\nAnswer: 139, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1078550 and 784400?\nAnswer: 8628400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f**3 + 2*f**2 + 7*f + 165. Let k(i) = 6*i**3 + 3*i**2 + 11*i + 244. Determine 5*k(r) - 8*t(r).\nAnswer: -2*r**3 - r**2 - r - 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*k + 319129, 3*f - 95528 - 95949 = -2*k. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2 - 3*y + 61. Determine z(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a19 (base 12) to base 4.\nAnswer: 1213311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*y + 2*r, 279*r = 5*y + 273*r - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15472*u + 15475*u - 48 = -36*h, -3*u + 8*h = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - -5. Let g = -26 + y. Is (2\/(-4))\/(((-6)\/g)\/(-64)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -15. Let i be ((-2)\/(-4))\/(1\/c). Suppose -5*k + 90 = 5*t, t + 30 = 2*k - i*t. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 800 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 0, -3\/4, -626?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 2. Let a be 3*((-120)\/18)\/(-5). Determine i(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -666, -676, -686, -696, -706, -716?\n\"Answer: -10*d - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.020495 - 2.\nAnswer: 1.020495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*h - 2*h - h)*(-h + 5*h + h).\nAnswer: -5*h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35, -171, -393, -695, -1071, -1515, -2021?\n\"Answer: h**3 - 49*h**2 + 4*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*p + 61 - 69 = 0, -2*c - 25*p + 8 = -9*p - 6 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 4 - 26194\/(-54). Let w = m - 488. Suppose 0 = a - 2*a - 3*c - 12, -12 = -5*a + 3*c. Are w and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -286?\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, 289, -3, -5 in decreasing order.\nAnswer: 289, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**3 + 9*z - 11. Determine n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 74*b**2 + 9*b + 404. Is r(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t + 20 = 0. Calculate the least common multiple of ((-3)\/(15\/(-2)) + -1)*-5 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqqqqmqmmq. What is prob of picking 2 q and 1 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdt when three letters picked without replacement from {t: 1, y: 1, d: 1, a: 3, w: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21558 (base 12) to base 2\nAnswer: -1010101111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2866685*h + 11466735. Determine o(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 1\/100, -5, -4862, -3\/7, -2\/13, 2\/9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 137*u**2 - 655*u + 81. Give o(-132).\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 33. Let h be (3\/2)\/(12\/l). Factor j + 2\/5 - 2\/5*j**2 - j**h.\nAnswer: -(j - 1)*(j + 1)*(5*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-11)\/44*(-21)\/(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2664 and 792?\nAnswer: 29304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -48 (base 10) to base 13\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1\/7, 11.3, -4, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243895 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + l + 4)*(3 + 3 - 11)*(220*l**4 + 354*l**4 + 196*l**4).\nAnswer: -3850*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10770395 is divided by 1911?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 38933026.\nAnswer: 38933026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 12. Let m be s(15). Suppose o = -m*o. Let z be 0 - o\/(4 - 2). Solve 2*h + 4*q + 10 = 0, 3*h + 5*q + 11 = -z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69638116 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*d**3 + 3 - 3 - 68*d + 68*d + 3*d**3 + (1 + 1 - 3)*(8*d**3 - 11*d**3 + 11*d**3).\nAnswer: -3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 13 = -13. Suppose y*g - 5*g - 24 = 0. Suppose -g*c = -410 - 325. What are the prime factors of c?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-26)\/6 - 10\/(-30). Let p be (x - -2)\/((-12)\/702). Do p and 118 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2183\/19 or 115?\nAnswer: 2183\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 17 + 29*h + 53 - 33*h - 47.\nAnswer: -4*h - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-247)*-19)\/((-1)\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 792124317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12369457, -24739008, -37108557, -49478104, -61847649, -74217192?\n\"Answer: i**2 - 12369554*i + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of 3*o**2 + o**3 + 0*o**5 + 0*o**6 + 0*o**4 + 0*o + 0 - 1\/42*o**7. What is the derivative of p(r) wrt r?\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 962, 7, -1 in decreasing order.\nAnswer: 962, 36, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqs when four letters picked without replacement from {s: 9, g: 4, q: 4}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 j, and 1 p when three letters picked without replacement from xdixpdddjdjidxx?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*m**(-19)*m)*m*m**(-27)*m)\/(m**(24\/11)\/(m\/(m*m\/(m\/(m\/m**(-13\/4)))))) assuming m is positive.\nAnswer: m**(-547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 466637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 + -182. Suppose -50*d + m*d + 63 = 0. Solve -22*p = -19*p + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*n**2 - 1690*n**2 - 2085*n**2 in the form q + s*n**2 + m*n and give s.\nAnswer: -3757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 15*p = -30. Solve -5*x + 5*w = 0, -8 - 1 = p*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*h - 112*h - 3*z - 15 = 0, -h = -3*z - 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 0 + 6 - (-147 - -141).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -375000 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/5)\/(n*n**(-1)\/n)*n**(2\/3)\/n*n*n*n\/n**(-8) assuming n is positive.\nAnswer: n**(172\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -8 - 7. What is the lowest common multiple of 6 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.11 (b) -0.316 (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 - 177*j**3\/2 + 513*j**2 + 3186*j - 18792.\nAnswer: (j - 348)*(j - 6)**2*(j + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p - 2*p**2 - p**3 - 1 + p + p**2 + 2*p. Suppose 0 = -0*z + z - 1. Let c be f(z). Sort 3, -5, c in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*g**2*s**2 + 4*d**2*g**2 - 2*d**2*s**2 + 4*g**2 - 57*g*s**2 wrt g.\nAnswer: -4*d**2*s**2 + 8*d**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -119. Suppose j = y - d, -j = 6*y - 3*y. Solve m - y = 3*i - 3, 5 = 4*m + i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/135 and -5 + ((-4240)\/1485 + 8 - 3\/11).\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 14 + -7 + -12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 5*u**3 + 3*u**3 - 23*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7220883 divided by 3?\nAnswer: 2406961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = b - 16. Suppose 3*c = -d - b, -d + 16 = -4*c - 5*d. What is the tens digit of c - -14 - (-9)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63b6a8 (base 13) to base 3.\nAnswer: -11101211011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*w**5 + 10689*w**3 + 2749*w**2 + 35*w wrt w.\nAnswer: -1200*w**2 + 64134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 25425*b + 3 + 50864*b - 4 - 25434*b.\nAnswer: 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*t + 4*b - 2445, -5*b + 2430 = 5*t. List the prime factors of t.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18 (b) 0.3 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*p + 83, 5 = 3*p + 2*p. What is the remainder when f is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128110280 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(6336) + -4 - sqrt(6336))**2 - (sqrt(264)\/(sqrt(216) + sqrt(6)) + sqrt(44))).\nAnswer: -16*sqrt(11)\/7 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-54)*-9)\/((-1)\/3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 * 77.\nAnswer: 3542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8505 and 42770?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7109380 and -61\/65.\nAnswer: 92421940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icbrcbf. Give prob of sequence rc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 662575?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -384*v**2 - 135*v + 16*v**4 + 54 - 2*v**4 + 53*v**5 + 231*v**3 - 77*v**5 + 28*v**4 = 0. Calculate v.\nAnswer: -3, -1\/2, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 99 = g, 0 = q - g - 0*g - 15. Suppose -93 = -5*l + 2. What is the greatest common factor of l and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*y = -92, x - 5*x - y = -92. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 + c + 2. Let x = 4 + -7. Let i(j) = 2*j**2 + 2*j + 3. Suppose 0*g + 4*b + 14 = g, 6 = -3*g - 4*b. Give g*i(y) + x*u(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5659601?\nAnswer: 991, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (4 + -1)) + -5 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 2*h**2 - 3*h + 3. Let d be m(0). Solve q = -d*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**3 + 2*i**2 + 11*i + 20. Let q be c(-2). Let s(y) = -y**2 - 26*y + 5. Let z be s(q). Let b(l) = -l**3 + 3*l**2 + 6*l + 7. Calculate b(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 17*f**4\/6 + f + 53. Let x(c) = -2*c**2. Give y(x(m)).\nAnswer: 136*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = 369 - 313. What is the closest to -2\/7 in m, 0, -3.2, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1291 + -603. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8237\/1505 + 1828\/301. Factor 117\/5*n**2 + 0*n + 0 - m*n**3.\nAnswer: -3*n**2*(n - 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 130*v + 1150. Give l(-15).\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.6349 - 4.6348956634. Round i to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38178 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*a = -10*w + 18*w + 62, -100 = 4*w - 4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/6)\/(1\/14). Let u = -25 - o. Suppose 10263*w = 10286*w - 638 - 742. What is the highest common divisor of u and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60090)\/14021)\/((-3)\/14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 596958*c**4*s**2 - 297*c - 21*s**2 + 6 wrt c?\nAnswer: 7163496*c**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 645.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/13, 1\/14, 1, -0.33 in descending order.\nAnswer: 1, 1\/14, -0.33, -9\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1119, 0, -3.\nAnswer: -1119, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3)\/(1\/(-3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162214 divided by 221?\nAnswer: -734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 1 - z + 3 - 3. Let f be p(3). Let l be (-318)\/(-8) + f\/(-8). Calculate the greatest common divisor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3689762348?\nAnswer: 2, 17, 54261211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4103*-1\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -1 - -8 - (-1 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 17, w: 1}. Give prob of picking 1 w and 3 j.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 575\/45 + 6\/27. Let h(z) = z**3 - 13*z**2 + 3*z - 14. What is the tens digit of h(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5 - 312*p**4 - 7200*p**3 - 31160*p**2 + 334884*p - 296208 = 0.\nAnswer: -33, -17, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 869?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2845332871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 69.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 47*j - 35. Let s = 71 + -68. Suppose 2*z - 25 = -s*z. Is o(z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572545.\nAnswer: 5, 714509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 13) to base 11\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 + 8\/16*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13315 + 3345.03315. Round b to the nearest ten.\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + 7544334.\nAnswer: 7544333.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 e when two letters picked without replacement from ele?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52661524843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -0.0223, 10, -2, -3?\nAnswer: -0.0223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*v - 14546, -2*v + 17379 = 4*l - 2045. Suppose 834 = -6*r + l. What are the prime factors of r?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.213883 * -0.92\nAnswer: 0.19677236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -748854 less than or equal to -748854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 22*q**2 - 193*q + 834. Give a(11).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = -20. Let c(t) = t**2 + 6*t + 4. Is c(f) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (462\/924)\/((-1)\/(-46)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89324 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8336831 and 11889.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 726*r = 1288421 - 49139. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 + 135. Let j(k) = -127*k + 8. What is the tens digit of j(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 7. Let w = 5 - f. Which is the nearest to 0.1? (a) -4 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 293 and 5805.289698?\nAnswer: 5512.289698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 219*((4\/(-14))\/((-900)\/(-252)) + 31\/75)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-42)\/18 - -1)*-9. Suppose -y = -250*n + 247*n. Find the third derivative of n*s**2 + s**3 + 3 - 3*s**3 + s**3 - 12*s**2 wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3805*n**3 + 2956*n + 1410*n**3 + 10845*n - 8882*n**3 wrt n.\nAnswer: -67662*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2232497.5001216 - 2232484. Let a = j + -13.5. What is a rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dhthhhddhddhthd?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9\/7 (b) -2\/9 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24015, -24032, -24063, -24114, -24191?\nAnswer: -24300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41638?\nAnswer: 2, 109, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2401063, 2401058, 2401051, 2401042?\nAnswer: 2401031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 572 - 404. What is the highest common divisor of o and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24561873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1145*d - 96. Let m be l(2). Let u = m + -1200. What are the prime factors of u?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152, -1150, -1148?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4\/3, -0.67414?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 21*m - 47. Give s(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1788.16628 to the nearest 10.\nAnswer: -1790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/3) - -3. Let b be (2\/(-4))\/(h\/(-12)). Suppose 1008*r - 1003*r - 10 = 0. Solve -q + f + 8 = -f, -b*f = -r*q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-81) + 634\/18. What is the lowest common multiple of 12 and b\/3 - 2\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 5*y - 7. Let z(i) = i**2 + 2*i + 3. Let f be 1\/((-1)\/(-6)*3). Let d(b) = f*o(b) + 5*z(b). Factor d(k).\nAnswer: -(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 680?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 157*c + 160*c + 2*c**3 - 30*c - 287*c + 1396 to r*c + a*c**3 + q + p*c**2 and give q.\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62467 is divided by 31231.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + -1 + (-2172 - -2246) - (1 + -1 + 58)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64800 is divided by 1620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0 + 2 - 4 - 3*r. Let n be w(-2). Suppose -n*y + f = -68, -40 = 5*y - 4*f - 136. Find the common denominator of 29\/5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*w + 84*w + 4848 - 13754 = 0 for w.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95598?\nAnswer: 2, 3, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/24 - (-5)\/(-10 - 0). Suppose 2*n = 3*m - 2, 4*n - 3*m = -0 + 2. Let l(c) = -c**2 + c - 1. Let h be l(n). Sort h, q, 5 in decreasing order.\nAnswer: 5, h, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2559612 and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2366, 2365, 2376, 2405, 2458, 2541?\n\"Answer: d**3 - 8*d + 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 89*j**3\/3 + 506*j**2\/3 - 664*j\/3.\nAnswer: j*(j - 83)*(j - 4)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*k**4 - 20*k**4 + k - 16*k**4 + k**3 - 3*k**2 - 1 to the form p*k + a*k**2 + c*k**4 + o*k**3 + u and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190066366?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1165 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - (-35 - -32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3276)\/(-806) + 2\/(-31)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w*w)\/(w*w\/(w*w\/(w\/w**4*w)*w)*w)*(w*w*w*w**(-15)*w*w*w*w)\/(w*w**(-1\/14)*w))**(-33) assuming w is positive.\nAnswer: w**(5049\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.3, 53\/71, 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 4*y**2 - 25*y - 15 - 1\/12*y**4 + 5\/6*y**3. Let m(g) be the first derivative of n(g). Calculate m(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - 39. Let t(n) = n**2 + 8*n + 13. Let x be t(w). Is -4\/9 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121521 is divided by 140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*q**3*t + 8*q**3 + 93*q**2 + q*t - 2*q - 441*t wrt q?\nAnswer: 36*q*t + 48*q + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -149 times 91\nAnswer: -13559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 4*x**3 - 3*x**3 - 4*x**3 + x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 17*o + 79. Determine z(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 35 = 49*o - 34*o, 4*o = -g + 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgllsooosssvglosl. Give prob of sequence lovs.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.5 (c) 39 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.71931 centuries?\nAnswer: 87.1931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23220513 (base 7) in base 2?\nAnswer: 111110001101110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + -11.6. Let v = y + 11. Let s be -3*(4\/(-18))\/2. Which is the second smallest value? (a) 0.2 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Let g(z) = 6 - 6 - 7*z - 5*z**2 + z**3 + 5 + n. Let f be g(6). Solve 2*l - l = f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -433, -438, -455, -490, -549, -638?\n\"Answer: -m**3 + 2*m - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91\/310 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 353*n**6\/2 + 558*n**3 + 2104. What is the third derivative of y(m) wrt m?\nAnswer: 63540*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 3*i**2 - i - 3. Let g be q(3). Is 84\/(-9)*9\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d - 31. Let s be n(-13). What is the greatest common divisor of 15 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-2) + (-9)\/21. Let g = 1.5 + -1. Which is the biggest value? (a) l (b) -2\/9 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/3 and -23\/804.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from aaanzna?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1322*b**3 - 218*b + 218*b.\nAnswer: -1322*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -542 by -2.\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*a + 13829 + 35811. List the prime factors of a.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1561054 - 4?\nAnswer: 1561050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 68\/14 - ((-4)\/14)\/2. Solve 0*q - 15 = -r*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 159, 247, 335?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-130)\/(-845) + -82*(-3)\/(-78). Let t(b) = -b**2 - 6*b - 5. Let o be t(-6). Sort o, 163, c in decreasing order.\nAnswer: 163, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7102212947?\nAnswer: 211, 1993, 16889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 30 = -74. Suppose -4*c = 0, -4*a - c = -6*c - j. Suppose 25*h = a*h - 33. What is the smallest common multiple of h and 24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 5. Let q be u(-5). Suppose -d = -4*x + 19, 7*d - 9*d - 8 = -2*x. Suppose -x - q = -2*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -17, -101, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s - 4*s + 187. Solve -4*d = -o + 10, -2*d = -4*o + s - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, 0.7, -41?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 39 - -36 - -3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**27*g)**(-1\/3)\/(g\/((g**(-2\/7)\/g*g)\/g)*g*g**(-6)*g) assuming g is positive.\nAnswer: g**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 + 90300*u - 5096306250 = 0 for u.\nAnswer: 112875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 3*v - v + 2*v + 4. What is the tens digit of f(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31197599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 - 1.8. Let o = 6.9 + d. Let q = -6.4 + o. Which is the nearest to 1? (a) 2 (b) q (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -74, -87, -10, 187, 534, 1061?\n\"Answer: 5*b**3 - 108*b + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*g**3 + 0 + 179*g**3 + 0.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5600008 = -a. Suppose 0 = -4*k - l + 5600004, -2*l + a = k + 3*k. What is k rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 9*c**2 + 26*c + 47. Calculate d(-3).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1081577 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88070 + -360?\nAnswer: -88430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660142 is divided by 121.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 9, -10492, -4, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*f - 16, -5*q + 28 = -2*f. Suppose -q*r + 28 = -104. Suppose s = -v + 27, 3*s - 88 = 5*v + r. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b**4\/2 - 1594800*b**3 - 60414419478*b**2 + 10821698122752*b - 3086981922816 = 0. What is b?\nAnswer: -76032, 2\/7, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28680 and 480.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 10 = -0*c. Factor q + 5*q - 6*q - 2*q**3 + q**c - q**4.\nAnswer: q**3*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 4488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g + 8. Let b be t(8). Suppose 4*h + 0*h - b = 0. Let -3*l + 5*l**2 - 3*l**h + l**5 + 3*l**2 - 4*l**5 + 6*l**3 - 3 - 2*l**2 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 63*y - 3191. Determine k(57).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/(-20))\/((-2)\/45). What is the common denominator of (-12)\/8 - (-201)\/s and -67\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4 - 54*h - 18*h - 18*h + 59*h + 0. What is q(3)?\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1710 and 54302?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1523 - 217*s - 1523)*(16*s**2 - 12*s**2 + 13*s**2)*(-s - 3*s + 5*s).\nAnswer: -3689*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w + 20. Let o(j) = -j + 1. What is 3*o(n) + r(n)?\nAnswer: 2*n + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 31330 (base 5) to base 9\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5 = 3*n, -5 + 16 = -3*n - 5*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulccuakucllapu. What is prob of sequence aplu?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*i - 199 = 0, -2*f + 2*i = -3*f + 53. Calculate the remainder when f is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 60 = 13*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 48, 2, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 122 = -o + 3*o, -i - 4*o + 64 = 0. Let d be i\/20 - (-2 + 2 - -513). What is d rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249810435 to the power of 1\/2, to the nearest integer?\nAnswer: 15805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 26*p**2 + p + 1. Let k be v(-1). Suppose -4*u + 4*g = -40, -5*u + g = -k - 20. Let w be (27\/(-22))\/u*8\/(-6). What is the nearest to 0 in 3\/8, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15517 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3404 and 2208.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 54*w + 22*w + 1204 = 0 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71548 and 0.341?\nAnswer: -24397.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -261, -5?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1378 + -4?\nAnswer: -137c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 21*j**2. Let t(b) = -5*b + 6. Let l(z) = 14*z - 17. Let p(n) = -6*l(n) - 17*t(n). Give q(p(h)).\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide (8 + (-216)\/300*5)*(753 - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*k + 46, 4*k = -2*v - v + 7. Suppose -5*y + 63 = -42. Let u = y + v. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 209.1 + -232. Let w = -23.2 - f. What is the third smallest value in w, 0.4, -10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -898 divided by 119\nAnswer: -898\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**4\/4 + i**3\/3 + 3*i**2\/2 + i + 116. Let k be j(2). Solve 0 = -2*m - 3*p - 7, k*m = -0*m - p for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62806216741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (8 - (3 + 1 + -2)) - 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1157)\/2665*-2)\/(108\/15) and 13\/99.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14710*f**3 + 14269*f**3 - 4145*f**3 - 1741*f**3.\nAnswer: 23093*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -259 + 263. What is the third derivative of 8757*h**4 - 2*h + 116*h**2 - 8779*h**s + 2*h wrt h?\nAnswer: -528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 3764*h + 583026. Determine q(149).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 4*y + y + 3*y - 4*y + 3*y + (2 - 5 + 1)*(0*y - 3*y + y) + (1 - 6 - 6)*(0*y + 2*y + 4*y)*(3 - 1 - 1) to the form l*y + g and give l.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 58*x - 983. Let r(g) = -131*g + 1966. What is -9*h(a) - 4*r(a)?\nAnswer: 2*a + 983","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 7, -14, -57, -128, -233, -378, -569?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 18\/7 of a week?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1431 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6199462 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -44*m**2 + 1. Let o(b) = 266*b**2 + 17*b + 25. Let h(f) = -o(f) - 6*q(f). What is h(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 986 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.1 + 27.6. What is the biggest value in p, 1\/4, 2\/19, -0.01?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + 67*f + 369. What is the thousands digit of c(-49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 3*z + 2*z + d - 150, 3*d + 1 = 3 - 2 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -16 + (-1 - -3). Calculate the remainder when (((-1508)\/(-16))\/(-13))\/((-3)\/12) is divided by (a - 0)*(3 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 8. Let f be s(5). Let d = -2\/267 + 556\/2937. Let w = 3.25 + -1.25. What is the third smallest value in d, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2. Let v(p) = 185 - 185 + 1366*p**2 - 3571*p**2. Determine y(v(n)).\nAnswer: -4862025*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 3*o**3 + 3*o**2 - 39*o - 7. Let q be f(-4). Which is the biggest value? (a) q (b) 2 (c) 0.9 (d) -246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 301, 801, 1527, 2479, 3657, 5061, 6691?\n\"Answer: 113*i**2 + 161*i + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/18 and -69\/442.\nAnswer: 3978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, a: 3, f: 2, p: 1, w: 5}. Give prob of picking 2 f and 2 q.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 108\/7, 2\/3, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -3*w**5\/20 + 29*w**2\/2 - 50*w. Let t(f) be the first derivative of u(f). Let n(h) = 2*h. Determine t(n(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19.6 + 19.7. Let w = -45 + 44. What is the smallest value in 0.2, w, a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534493, -2137972, -4810437, -8551888, -13362325, -19241748?\nAnswer: -26190157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11386?\nAnswer: 2, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -325278? (a) 4 (b) 0.3 (c) -0.35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2944 and 151\/3312.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323191?\nAnswer: 3, 13, 71, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:14 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40730013*x**4 - 5*x**3 + 397148036*x**2 wrt x.\nAnswer: -977520312*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b**2*m**3*q**3 + 1440*b**2*m**3 + 151*b*m**3*q**2 - 2*b*q**2 + 2*m**2*q**3 + 2*q**3 wrt b?\nAnswer: 24*m**3*q**3 + 2880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.93 - -0.07. Let n = 23 + -23. Which is the smallest value? (a) f (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 13898 = -h, -4*p - 5*h = -8*h - 27802. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4 - (-1369)\/(-444))*(-192)\/16.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.9 and 4176.3.\nAnswer: -7934.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -641970.5.\nAnswer: -256788.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 2 h when four letters picked without replacement from hhcxqwqwwqbq.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2\/2 + 141*g\/2 + 147 = 0?\nAnswer: -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + -7 + (-1 + 0)*31. Let t = u + 76. Calculate the common denominator of t and 69\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1011011?\nAnswer: 1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6298 is divided by 63.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 - -355698.862074.\nAnswer: 355699.182074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173832 times -0.1?\nAnswer: -117383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 167855 rounded to the nearest one hundred?\nAnswer: 167900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -781 - -784. Solve -3*k + k = -x + 7, -p*k = 4*x - 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17523 and 18402.\nAnswer: 107486082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*l**4 - 23*l**3 - 1509*l**2 + 97*l + 358847?\nAnswer: -672*l**2 - 138*l - 3018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000110001100110 (base 2) to base 14.\nAnswer: 1b07c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/(-6))\/(2 + (-56)\/21). Let g(l) = 21*l**2 - 9*l**2 + 0*l**2 - 11*l**2 + z*l. Is g(4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/10 and 67\/924.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q - q + 28*q + 23*q.\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10555, -21109, -31663, -42217, -52771?\n\"Answer: -10554*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 22200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**3 + 0*x - 13\/24*x**4 + 0 + 11\/168*x**8 + 0*x**7 + 0*x**6 + 0*x**5 - 18*x**2. Find the second derivative of k(w) wrt w.\nAnswer: 440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1857*v = 1829*v + 84. Solve 86 - 80 = v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2*c**3 + 3*c - 5*c**3 + 6 in the form z + h*c**2 + l*c + o*c**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18012 is divided by 7611.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1932, -1925, -1914, -1899, -1880, -1857?\n\"Answer: 2*m**2 + m - 1935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/j**4*j*j)\/j)\/j)\/j)**16*(j**(3\/2))**(-2\/17) assuming j is positive.\nAnswer: j**(-819\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 104 - 302*x**2 + x**3 - 5*x**3 + 18 + 2*x**3 + 300*x**2 + 2*x to the form m*x**4 + u + a*x**3 + h*x**2 + n*x and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (4 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(637) + 0 + sqrt(637) + 2 - (-3*(-1*sqrt(637) + sqrt(637) + sqrt(637)) + sqrt(637) + sqrt(637))))**2 + 1 + -3.\nAnswer: 3024*sqrt(13) + 206530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 444612 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - c5008?\nAnswer: -c500c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3494\/111 >= 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -148, -149, -156, -175, -212?\n\"Answer: -c**3 + 3*c**2 - 3*c - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.3503606 take away -0.3?\nAnswer: -171.0503606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 3. Let j(q) = 4*q - 4. Let p(f) = 5*j(f) + 7*u(f). Let t(h) = h - 1. Let n(a) = a - 10. Let l be n(7). Calculate l*t(g) - 4*p(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p - 4. Let y(i) = 3*i + 3. Let z(a) = 3*w(a) + 4*y(a). Let v(g) = -g**2 - 37*g. Calculate v(z(s)).\nAnswer: -36*s**2 - 222*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 2063170?\nAnswer: 18568530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vnvvbbl.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9638*f + 318*f**3 - 174*f**2 - 950*f**3 + 2 + 9638*f wrt f.\nAnswer: -3792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 110423426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.043 + -0.043. Let j = -4 - -7. Suppose 5 = j*w + 2*w. What is the nearest to w in 2\/9, -1\/2, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1302 + -35?\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 3*u - 36. Let s = 133 - 1. Calculate the greatest common divisor of s and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 11*j**2 + 4*j - 2. Let m(y) = 45*y**2 + 15*y - 9. Let c = 2 - 11. Let r(v) = c*u(v) + 2*m(v). Let r(i) = 0. What is i?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149342511?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, f: 1, a: 1, r: 10}. Give prob of sequence rr.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 43.1. Suppose q = 2*q + 1. Which is the closest to -2\/5? (a) f (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 36*f**2 + 495*f. Let o(n) = n**2 + 11*n. Let p(x) = -90*o(x) + 2*u(x). Let k(t) be the first derivative of -14*t**2 + 9. Determine p(k(g)).\nAnswer: -14112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 67 = 4*k, z + 10*k = 5*k - 3. Suppose 2432 = 21*a - z*a. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 = -6. Suppose 4 = -c + 2*c. Find the second derivative of 6*k + 3*k - 3*k**s - 5*k + c*k**3 wrt k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) + (623\/(-2))\/7. Let z = 71 + s. Suppose 20*x = 18*x + z. Calculate the greatest common divisor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 21 + 21.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 34, -5 in ascending order.\nAnswer: -5, -1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 >= 12767\/678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103278919 + -2065166657\/20. Let p = -20582 + a. Calculate the common denominator of (-202)\/42*(-3)\/(-2) and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i, -2*z = -i + 2*i. Is (-2 + z)\/(2\/(-21)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12003 - -1258. List the prime factors of x.\nAnswer: 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v + 2*o - 10, -v = -4*o - 2. What is the smallest common multiple of v and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000020583 to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (3 - -2)) + 0 + 8. Factor 30 - z*h + 3*h**2 + 39*h + 2*h**2.\nAnswer: 5*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1766*h - 1762*h - 1758*h + 96 - 1763*h + 7047*h.\nAnswer: -2*h + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1110956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*n**2)*(-2 + 2 + 1) - 2 + 2 - n**2 + 19*n - 17*n**2 - 19*n.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 207\nAnswer: 4\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Suppose -z*r + 144 = -69. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -w**2*z**2 - 836994*w**2 + 128*z**2 - 3362*z + 2 wrt w.\nAnswer: -2*w*z**2 - 1673988*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*f + 2*f. Suppose 4*k + 5*d = 2*d + 21, 4*k = -d + 15. Suppose 3*o + 3*z = -3, 0*o - 29 = -k*o + 5*z. Solve o*a + 5 = f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**3\/2 - 543*p**2\/4 - 828*p - 7004. Factor g(t).\nAnswer: 3*(t - 184)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**5\/10 + 13*y**4\/12 - y**3 + 5*y**2\/2 - 3*y. Let s = 704 + -710. What are the prime factors of t(s)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7. Let p be t(0). Let v = -5.4 - -5.1. Which is the third smallest value? (a) v (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*t - 435, -4*t + 435 = t + 5*c. Calculate the remainder when t is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14498 - -22085. Calculate the greatest common divisor of 108 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u - 18. Let o be p(-6). Solve -f = -2, -5*f + 14 = -o*x - 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -7. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.5 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 195 = 6*d. Suppose 0 = 3*z - d - 42. Suppose -3*b + 42 = -z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:58 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:26 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91742 + -52908. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 + 14*g**2 - 6*g. Let f be 2\/4 - 52\/8. Let n(y) = -y**3 + y**2 + 1. Let v(l) = f*n(l) + z(l). What is the units digit of v(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-1\/6)*l*(l\/l**(1\/25))\/l*(l**(2\/5)\/l*l)\/(l*l*l*l\/(l**(-1\/58)*l)) assuming l is positive.\nAnswer: l**(-1067\/2175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 12:49 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 75*w**5 - 221340*w**4 - 240622533*w**3 - 911733414*w**2 - 613944588*w - 115094664 = 0.\nAnswer: -842, -3, -2\/5, 3797","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*j, -5*j + 0*j + 2*c = 21. Let a = 7 + j. Suppose 0 = f + 4*f + 4*v - 46, 4*v = -a. Calculate the greatest common divisor of 40 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -227072 + 227072 + 2972*l to the form f + p*l and give p.\nAnswer: 2972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-348)\/14)\/29*((-6)\/5)\/((-2)\/(-5))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8\/32*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from {u: 5, j: 4, d: 2, r: 4, f: 1}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (26 - 24)\/(4\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**3 - 3*q**2 + 3*q**2 + (-q + 3 - 3)*(-8*q**2 + 12*q**2 - q**2) + 4*q**3 - 3*q**3 - 2*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 5*t**2 - 6*t. Let l(n) = -7*n**3 + 8*n**3 - 30 + 12*n**2 - 15*n + 0*n. Let d be l(-13). Give w(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8996 - ((-35)\/7 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154932 and 1644?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgg. Give prob of sequence zg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -16572*s + 67. Is n(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 + 1.2. What is the third biggest value in v, 0.03, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 555 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 + -9?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(1\/2 + -1) - 11\/(88\/(-32)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.4, 221 in decreasing order.\nAnswer: 221, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -57?\nAnswer: -7\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4458, -4414, -4368, -4320?\nAnswer: -4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44003, -88048, -132093, -176138, -220183, -264228?\n\"Answer: -44045*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -55442\/617 (b) -7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + d + 1. Let i be a(-2). Suppose -i*x + 1 = -2. Solve 4*h = -x - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 2.96. Which is the third biggest value? (a) 5 (b) -7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8191\/1329 + 3\/886. What is the common denominator of x and (2\/16)\/(6\/21)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:44 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -129 - -128.842. Let j = 68.158 + q. Let n = j + -67.999957. What is n rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -292335, -292334, -292333, -292332, -292331?\nAnswer: -292330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 798 - 99*m - 24*m**2 - 2451 + 733 + 818 = 0. Calculate m.\nAnswer: -17\/8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 3737?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 117503 + 14651 = 0. List the prime factors of v.\nAnswer: 2, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4*c + 4 = 0, 2*s - 14 = -3*s + 2*c. Calculate the remainder when (-100)\/(-7) + (-2)\/7 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 24.1. Let i = -3.3 - m. What is the nearest to 0.2 in -2, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.3963t in kilograms?\nAnswer: 91396.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - s + 1. Let r be (-21)\/9 + (-4)\/(-12). Let m = -1 + 3. Let c(x) = -34*x - x**3 + 14*x - 2*x**2 + 3 - 2 + 19*x. Give m*a(w) + r*c(w).\nAnswer: 2*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 43*m - 39. What is the hundreds digit of x(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*k + 94, -3*k + 177 = -q + 26. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.13104um to kilometers.\nAnswer: 0.00000009313104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -11. Let y = -622\/7 - -89. Sort 0.2, y, g.\nAnswer: g, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (4 + (0 - 5) - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60063 divided by 1.\nAnswer: 60063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 807.87 - 807.909517. Let a = g - -0.0385. What is a rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*u**2 - 11*u**2 - 15*u**2 as b + f*u**2 + z*u and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2839 by 36663.\nAnswer: -2839\/36663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 15.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*w - 124, 5*w - 108 = -4*n + 48. Let y = w + -25. Let h be 2\/(2\/5*-1). Sort h, 2, y in descending order.\nAnswer: y, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w. Let q be m(-1). Suppose 0 = -8*a + 3*a + q. Suppose -235*z = 124*z - 50*z + 1236. Put z, a, 3 in decreasing order.\nAnswer: 3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 664 = -i, 2*x - 95 = -4*i + 255. Suppose 5*z - c - 273 = 0, -c + 2*c = -3*z + x. What are the prime factors of z?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7688272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 138700 rounded to the nearest 1000?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1860*(-335)\/67.\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7295509 to the nearest integer?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - -1ba?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3312916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16126, -32239, -48328, -64387, -80410?\nAnswer: -96391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418504 and 4185040?\nAnswer: 4185040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86862, -86813, -86710, -86535, -86270, -85897, -85398, -84755?\n\"Answer: 3*d**3 + 9*d**2 + d - 86875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -18 + 0 + -8 + 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -411, -0.3, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i + 7*i - 2*i)*(20 + 9 + 1).\nAnswer: 510*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -22*f**2 + 3*f - 1. Let i be n(1). Let t be -2*(2\/i - 0). Which is the third smallest value? (a) t (b) -2\/7 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*f**3 + 0*f**3 + 3*f**3)*(20*f - 3*f + 13*f) - 3*f**4 + 3*f**4 - 2*f**4)*(-2 - 1 + 1)*(0 + 0 - 1).\nAnswer: -184*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 80866590?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-20) + (-22)\/(-8). Let o(g) = g**3 - 2*g + 1. Let m be o(y). Suppose 0 = -m*l + 7*l - 30. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 5*p**2 + 8*p - 5. Let i(w) = w**3 - 8*w**2 - 10*w + 2. Let d be i(9). List the prime factors of u(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-255)\/816 + (-15)\/80.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062540479 to 6 decimal places.\nAnswer: -0.000625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 23490\/(-360) + (1 - -7)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2. Let c(d) = -3*d**2 + 55*d + 50. Let x be c(19). Let h(z) = 1. Let k(j) = 0 + 0 - 48*j - 12. Let g(b) = x*h(b) + k(b). Give g(u(t)).\nAnswer: -96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7)\/p)\/p**(-1\/2))\/((p**(-1\/3)\/p*p)\/((p*p\/p**(-4)*p)\/p)) assuming p is positive.\nAnswer: p**(239\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102112 - -201?\nAnswer: -12101211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1519*i**3 - 34*i**2 - 18*i - 34. What are the prime factors of z(-3)?\nAnswer: 139, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x*(x\/(x\/x**(-3)))\/x)\/x)\/x**3)\/(x**(-2)*x**4*x))**(4\/7) assuming x is positive.\nAnswer: x**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from {n: 2, v: 1, f: 4, z: 4, y: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -5. Suppose w*o - 3*o = -12. Suppose x + 30 = -o*x + z, z + 5 = -2*x. Are x and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a5a (base 11) to base 14.\nAnswer: -4b8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-56))\/((220\/(-1280))\/11)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*h = 94*h + 4*b + 12, -5*h + b + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 169 + 78 + -73 + -85\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -2*m + 5*z, 200 = 5*m + 3*z + 2*z. Let g = 10 + -10. Let c = g - -4. Calculate the greatest common factor of c and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/525 - -934\/175. Let s = 29\/6 - m. What is the second smallest value in 2\/3, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*j**2 - 45*j**2 + 4*j**2 - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7 - -0.7. Let f = 0.07 - 0.57. What is the third biggest value in g, f, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 + 22*s**2 + 17*s - 24. Suppose 8 - 31 = -u. What is the remainder when u is divided by z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 13*z**2 - 17*z + 41. Let b be m(12). Let f(w) = 36*w + 2*w**2 - 1 - 35 + 3*w**2 - 3*w**2. Let r be f(b). Which is smaller: r or 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -9515.\nAnswer: 8\/9515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*h - 880 = 196*h. Let t(m) = 11*m**2 - 43*m - 9. Determine t(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + x = 0, 0*o - 10 = -4*o - x. Suppose 2*j = -5*r + 4 + 1, -4*r - 4*j - 8 = 0. Suppose r*i + o = 4*i. Solve -m + 0*l - 3*l = 4, i = m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 4*r - 3*r. Let g be (-6)\/2*(-10)\/15. Let w(z) = z**2 - 7*z**g + 3*z**2. Calculate p(w(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 6*q**2 + 5*q - 1. Let p be (-4 - -2)\/(2\/7). What is the tens digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.62672 millennia to centuries.\nAnswer: 416.2672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -475 + 408 - (-60 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46149 + ba7?\nAnswer: -45162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2647\/(-17) - ((-324247)\/1309 + 247).\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20123 + -10?\nAnswer: 20113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 10, v: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 83913*u**2 + 2012616*u - 12073104.\nAnswer: 3*(u - 27947)*(u - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.026.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89a (base 13) to base 7.\nAnswer: -4212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8642736 micrometers in kilometers?\nAnswer: 0.0000000008642736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25099\/23 - -1091. Let t = 35\/46 + o. What is b in -t*b**3 + 1\/2*b + 1\/4 + 0*b**2 - 1\/4*b**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.045 (b) 1.3 (c) -72 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0657 - -2937323043?\nAnswer: 2937323042.9343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/27)\/(((-8)\/18)\/4). Suppose 0 = 4*h - 4*w - 254 - 242, -s*h + 242 = -5*w. What is the remainder when h is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-5*v**3 + v**3 + 2*v**3) + v**3 - 5*v**3 + 3*v**3.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 458*b + 226*b + 234*b - 16 + 6.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/27, 0.7, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09837 - -0.11837. Which is the second smallest value? (a) -2\/9 (b) 4 (c) -3.1 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 42 = -21*p. Solve -5*w + 2*n - 3 + 9 = 0, -4 = p*w - 5*n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 0, 90, -0.5, 1\/4, -4, -21 in decreasing order.\nAnswer: 97, 90, 1\/4, 0, -0.5, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18.6 + -18.8. Let v = -12.41 - -10.41. What is the closest to v in 4, t, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -5.\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwqx when four letters picked without replacement from {q: 4, x: 2, b: 5, w: 5, e: 1, k: 3}.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 27, -2, -3.\nAnswer: -3, -2, -1, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/7 - (-18)\/7. Suppose q*o = 2*m - o - 41, 5*m - 3*o - 89 = 0. Calculate the greatest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, b: 3, p: 1}. Give prob of picking 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 48 - 2. Let s = 24 + r. Let m be (9 - 8)*(s + (4 - 1)). Solve -6 = -j - m*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 + 4*v**2 - 1 + 14 - 13 - 20*v**3.\nAnswer: -20*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*b - 38 = 28, 3*b = 5*s + 84. Let h be 44\/(-198) - 4\/s. Suppose h = -m + 2*m - 10. What is the remainder when m is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 1) + -2)\/((-10)\/(-1250)). Let u = p + 128. Solve -b = u*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*w + 3 - 171*w + 357*w.\nAnswer: 356*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {b: 13, f: 6}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(28) - (-3 + sqrt(605)) - (1 + (sqrt(20)\/sqrt(16) - (sqrt(15)\/sqrt(3) + sqrt(5))*1)**2).\nAnswer: -21*sqrt(5)\/2 - 37\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d + 6. Let g = 12 + -7. Let h = -13 - -22. Let k(p) = 1 + 3 + 0 - h*p + 12*p. Give g*m(i) - 7*k(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*b + 1, -o - 2*b = 908. Let u = 640 + o. Let v = u + 502. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - -2*sqrt(63) - (-5*2*sqrt(7))**2)*-4.\nAnswer: -28*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgad when four letters picked without replacement from gidiiqdqimididadgid.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.09 - 0.26. Let d = q - -0.462. What is d rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3*o + 2444. Let g = o - -17721\/29. Does -1 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 5*c**3 - 5*c**3 + 0*c**4 - 2*c**4 + c**4 + (-2*c + 0*c + 0*c)*(2*c**3 + c**3 - 2*c**3) + 2*c**3 - 2*c**3 + 0*c**3 - 4*c**4.\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.56545662 - 0.5654. What is z rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/3 - k**3\/3 - 22*k - 3. Let j be 7\/(-9) - 1*8\/36. Let d(i) = i**2 - i. Give j*g(h) + 2*d(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1045*u**2 - 6*u - 12. Let i(m) = 915421*m**2 + 5255*m + 10510. What is -6*i(s) - 5255*r(s)?\nAnswer: -1051*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20292264 by -6.\nAnswer: 3382044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - v + 2.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 12) in base 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13229\/6 + 2215. What is the common denominator of d and 111\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -0.95. Let x = 6.5 - 4.45. Let i = u + x. Which is the second biggest value? (a) -0.1 (b) i (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 6*p + 4. Let v be w(-5). Let t = 32 - v. Is 194\/22 - (-6)\/t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17359 by 2709.\nAnswer: 17359\/2709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1023 + 1891. What are the prime factors of n?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.6689 - 18.2689. Let x = -2\/3 - -1\/3. Which is the nearest to 16? (a) x (b) j (c) 5 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278807?\nAnswer: 278807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 495 - 309. Suppose 3*i = 7*i - 8, b = 5*v + 3*i. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s + 40. Is (-2)\/(-4) - (-252)\/s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - w + 1. Let b(u) = u**3 - 9*u**2 - 6*u + 4. Let r be b(10). Let f(l) = -2*l**3 - 22*l**2 - 22*l + 22. Calculate r*c(a) - 2*f(a).\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0 + 17 - 3)*(7*v**2 + 2*v**2 - 4 - 6*v**2) + 0*v**2 + v**2 - 3*v**2.\nAnswer: -86*v**2 + 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -100. Let m = -65.1 + v. Let z = -16 - m. Is 1\/3 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:18 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-230)*2\/(4\/14)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 140, -5 in descending order.\nAnswer: 140, 4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -49149734 rounded to the nearest ten thousand?\nAnswer: -49150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55809586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11.703+-2\nAnswer: 9.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 26, 2, -42, -112, -214, -354?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 26*h**2 + 2*h - 1. Let b be r(1). Suppose -4*c - b - 41 = 0. Let d = -11 - c. Solve 0 = 2*l - d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1.37, -10, 2\/7, -7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 13. Let g be m(0). Suppose g = -3*k + 4. Is -1*(-40*5 + k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+-206.73\nAnswer: -211.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*o + 38 = 0, -l + 42 = 4*l - 3*o. Let k be l\/(-2) + 22\/8. Sort 2, k, -0.3.\nAnswer: -0.3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 321 = -2*u - 3*w, -2*w = -5*u + 728. Suppose -191 - u = -5*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m, -m = -2*h + 2*m + 15. Let k = h - 6. Which is the closest to -1\/3? (a) -3 (b) -0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6\/11 (b) -5\/3 (c) -2\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 12, -22, 9, 1 in ascending order.\nAnswer: -22, -4, 1, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7136 (base 8) to base 9\nAnswer: -5036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/17 - 23558*y**2\/17 - 263252*y.\nAnswer: 2*y*(y - 11966)*(y + 187)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-7)\/(-98)*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/((-9)\/(54\/24))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4796)\/19184*12\/27.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*2214.021.\nAnswer: -66.42063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -25, -26, 8, 6\/19, -1\/3, -43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 5*v**2 - 14*v - 5. Let n be r(7). Which is the nearest to -0.1? (a) -6 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**5\/3 - 56*q**4 - 3226*q**3\/3 + 388*q**2 + 7224*q - 6480 = 0.\nAnswer: -54, -30, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17700 - -973446\/55. What is the common denominator of j and -24\/55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 11*h - 10. Let z be x(-10). Suppose c = t + 3 - 2, z = -c - t + 5. Is (301 - c)\/(-2)*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**3 + 3*p**2 - 24*p + 10. Is k(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 + 5*n - 6. Let x(g) = -6*g**2 - 8*g + 9. Let h(i) = -11*i**2 - 17*i + 19. Let j(o) = -2*h(o) + 5*x(o). Calculate 7*c(l) + 6*j(l).\nAnswer: l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928204765 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*l - 3*h + 5, 5*l + h = 35. What is the units digit of l + (-1 - (-2 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvhojjjajv. Give prob of sequence jhva.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4622206 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36121 (base 7) to base 13.\nAnswer: -4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285307?\nAnswer: 11, 37, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.67 + -0.57. Which is the closest to 1\/5? (a) -2\/7 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -74 and -14.\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.83 - -0.17. Let b = -0.0321 + 0.1321. What is the third biggest value in -0.16, p, b?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcbc when four letters picked without replacement from vcrirvvbvrvrvcrtcbbb?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 68. Let h = -43 + i. Solve c = -3*c - h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 6*n - 16. Let u(l) = l**3 - 2*l**2 + 94*l - 270. Let x be u(3). Solve x = 5*o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3984719 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnpp when four letters picked without replacement from ppppnppppppppppnpp.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -0.5. Let j = 1725 - 1725. Which is the third biggest value? (a) -0.81 (b) k (c) -0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 54\/(-9) + 1 + 55. Suppose -2*l = -4*p + 38, -5*l + 5*p = 4*p + v. Which is smaller: l or -0.06?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 4 = 2*u, -5*b + 4 = -u. Let i(g) be the third derivative of -g**5\/20 - g**2. What is i(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -59. Suppose -314 = 5*f - m. Is 14 a factor of ((-1)\/(-2))\/((-1)\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 605*p**3 + 726. Let m(s) = s**3 + 1. What is 726*m(f) - o(f)?\nAnswer: 121*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/52 - 57\/60)*(-200)\/360\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 52 = -u. What is the smallest common multiple of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -9 - 4 - (-3 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -4)*12 - ((-45)\/(-11))\/((-1533)\/(-5621))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 2*m + 3. Let j be i(0). Let w(s) = 77*s + 2. Let f be w(2). Suppose 0 = o + j*o - f. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4, 0.1, -39?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.1 + 16.05. What is the biggest value in 3\/8, g, 0, 0.06?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*a + 770, -m + 137 = -2*a - 23. Let n = m + -96. What are the prime factors of (-40)\/6*n\/(-12)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 13. Let i(v) = 25*v**2 - 13 - 10*v + d*v**2 - 53*v**2. Let h be i(7). Which is greater: -33 or h?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*k - 2*b - 12, -4*b = -5*k + 12. Suppose -2*x + 64 = r - 7*x, -5*r + x + 200 = k. Let a be -9*(r\/9 - 4). Is a < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38595, -77199, -115803?\n\"Answer: -38604*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 1. Let c(k) = -2*k**2 - 3. Let h(n) = -c(n) - 4*f(n). Let i be 0 + (-16)\/((-4)\/1). Determine h(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 79\/13 or 6?\nAnswer: 79\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 15*q**2 + 11*q + 19. Give c(16).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 23 (c) -4 (d) -2 (e) 733\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -3 - (3\/(-9) + 15997\/(-51))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 3*o + 471 = 0, -897 = -4*w - 3*o. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 7:21 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 1, f: 1, m: 2, c: 1, g: 1}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 76*c + 39*c + 36*c - 3, -c - 3 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/15 and -16\/1065.\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 + r**4 + 28424*r**2 - 185082*r?\nAnswer: -60*r**3 + 12*r**2 + 56848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:48 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3 + 3*y**2 - 3*y**2 + 3*y + 5*y**2 + y**3. Let l be t(-4). Suppose -l*i = 141 - 589. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-40)\/110) - (-5)\/(-1). Calculate the highest common factor of y and 10974.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 w when three letters picked without replacement from wbkbpbwlzbwb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*144\/63*((-14)\/(-2))\/(-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*t - 2*t**4 + 4*t**2 - t**3 + 2 - 4*t**2 + 32*t to the form q*t**3 + y*t + d*t**4 + z*t**2 + a and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = 3*v. Let s be 4 - v - (2 - 6). Solve -11 = 4*r - 3*x, 8*r + x + s = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 350, 349, 348?\n\"Answer: -q + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**3 - 3*g**2 - 6*g**2 + 7*g**2)*(-3 + g + 0*g + 4) to r*g + k*g**2 + i*g**4 + f + y*g**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112322 + 157562 - 799640 = -230*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 40*k + 7. What is h(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 9. Let g(b) = 4*b**2 - b. Let f be g(v). Suppose 4*j = -f*m - 2392, 4*m - 4*j = -918 - 2290. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000180697903 rounded to seven decimal places?\nAnswer: -0.0000181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 5:53 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - 3*y)*(-2 + 3*y + 2) - 18*y**2 - 9*y**2 - 49*y**2.\nAnswer: -79*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/9*3\/(-2). Suppose -128 = -r - 3*r. Suppose -r = -h*j - 0*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 252, 1.1?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 11\/(-3) - ((-23)\/(-23))\/(3\/(-142))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from oiiioii?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8964246 minus 0.3?\nAnswer: -1.1964246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 6*n + 5. Let w be k(6). Suppose -w*o + 7 = -i - 11, i - 14 = -3*o. Let x = o - 2. Solve -4*h - 5*v - 5 + 0 = 0, -x*h - 4*v = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -18*j**2 + 41*j - 278. Calculate y(5).\nAnswer: -523","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15031 - 19191. What is d rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by 242682.\nAnswer: -119\/121341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 10:02 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h - 632 + 4034 = 9*h. Calculate the remainder when 404 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -126. Calculate the remainder when 103 is divided by (-7)\/(2\/(d\/(-2))*-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/3 - 200*x\/3 + 113098\/3 = 0.\nAnswer: -293, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2392 and 75\/88?\nAnswer: 26312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 7160\/100. Let y = g - -715. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njnnnnnnj. Give prob of sequence nj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.026 + 0.726. Let y = m + -0.5. Is y bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.26 - -2.367. Let u = p - 0.107. Sort -2\/7, 1, u in ascending order.\nAnswer: -2\/7, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045099 + 25.4661997?\nAnswer: 25.5112987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5621588l?\nAnswer: 562.1588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:46 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 2, 3\/13, -1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 65. Let g(n) = -20105*n. Calculate g(k(o)).\nAnswer: -20105*o**2 + 1306825","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 1 + 0*g**5 + 0*g**2 + 1\/12*g**4 - 1\/180*g**6 - 1\/3*g**3 + 0*g. Let s(u) be the third derivative of d(u). Factor s(q).\nAnswer: -2*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 20*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17087777 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 140?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69576 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119 and 1700?\nAnswer: 11900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 22*g**2 + 3*g - 3. Suppose 0 = -2*n + 2*i + 8, 4*n - 19 = 3*i - 2*i. Does 30 divide c(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 0, -c - 2*l = -4*c + 4. Let f(u) = 3*u - 3. What are the prime factors of f(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 7432?\nAnswer: 111480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 4)*(368 - 692 + 222)*(5*n + 59 - 59) as m*n + a and give m.\nAnswer: 510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 210855.\nAnswer: -21085.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 4:52 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 15 = -3*g - 5*i, 3*i = -4*g - 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/((4 + (-305)\/76)*-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 25 = u + 3*w, -u - 3*w = 14. Put 1, 0, u in descending order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 100*o - 320.\nAnswer: -5*(o - 16)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 56. Let g be z(31). Suppose 18*f + g*f = 2280. What is the lowest common multiple of f and 40?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1351 in increasing order.\nAnswer: -1351, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4966482073 to the nearest integer?\nAnswer: 70473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:30 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*g - 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.7 + 0.3. Let j be 68\/(-16) + (0 - -3). What is the nearest to c in j, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*17 + (-5 - -9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1201 and 31\/10?\nAnswer: 12010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and (9\/18)\/(2\/36).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 13*c**3 - 12 - 15 - c + 38 as s + l*c**2 + v*c + d*c**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9435\/(-34))\/5*(-8)\/6 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36858 (base 11) to base 15\nAnswer: 10a45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 113.926.\nAnswer: -193.6742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 366.34 - 364. Let s = -2.74 + h. What is the nearest to -0.1 in s, 2, -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.018304 (c) -2\/9 (d) 5\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**3*s**3 - k**3 - 20*k**2*s**3 + 2*k**2*s**2 - 3*k**2 - 122*s**2 wrt s?\nAnswer: -132*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:13 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 707248 - 453939. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12384.9 - -12384.97. Let u(j) = j + 5. Let y be u(-3). Which is the nearest to 3? (a) 5 (b) -5 (c) y (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-9 - -6) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)*1 + sqrt(405))\/sqrt(9) - (sqrt(135)\/sqrt(3) + sqrt(45))*4)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 - 2554*a - 812400 = 0. Calculate a.\nAnswer: -677, -600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 18. Let i = w + -20. Let x be i*(-3 + 477\/156). Is 1 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3188*r = 3230*r - 336 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v + 6. Let m(x) = 786*x + 6069. Let k(h) = -m(h) - t(h). Differentiate k(f) wrt f.\nAnswer: -788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 15\/1867, -1\/9, -3, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 - 36441 + 18223 + 18218.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b + 2. Let a be m(-6). Let i = -823\/4090 - -1\/818. What is the closest to i in 0.1, 1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, o: 2}. What is prob of picking 2 o and 2 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - 4*r**2 - 5*r - 4. Let u be t(-2). Let b(l) = -15*l**2 + 5*l + 7. Let o be b(u). Let x = -36 - o. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 = 3*w, 2*w = 2*k - 9548 + 9550 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -50649.\nAnswer: -2\/50649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/95277 and 51\/52.\nAnswer: 381108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4761\/839 or -7?\nAnswer: -4761\/839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10615670 rounded to the nearest one hundred thousand?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 22463.\nAnswer: -2246.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + 6*(sqrt(27)\/(sqrt(90)\/sqrt(810)) + 4))**2.\nAnswer: -28272 - 8424*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4\/9)*m*m*m)\/m**(-6)*m**(4\/5)*m*m*m\/m**(-2))**38 assuming m is positive.\nAnswer: m**(24548\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.55 + -0.549836. Round o to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 245, 394, 631, 950, 1345, 1810, 2339, 2926?\n\"Answer: -h**3 + 50*h**2 + 6*h + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16818721 and -1039?\nAnswer: 16819760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215*l + 27 = -224*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/15)*g**(-8)*(((g*(g**2\/g)\/g)\/g)\/g)**(-3) assuming g is positive.\nAnswer: g**(-73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*o - 460*o + 72*o in the form f*o + y and give f.\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3374653 at most 3374622?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 12:19 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1877 by 4.\nAnswer: -1877\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23351 (base 7) to base 3.\nAnswer: 22020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-570)\/7)\/((-1)\/7). Let w = 675 - t. What are the prime factors of w?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14584*u**6 + 5*u**4 - u**3*x**2 + 2*u**2*x**2 - u**2*x + 6622*u**2 wrt u.\nAnswer: -1750080*u**3 + 120*u - 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 7 - (-10 + 17 - 2)) + (-73 - -31)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*s + s + w, -2*s = 3*w - 4. Suppose 0*k - 2*k = 0. Let x = s + k. Solve 5*z - z - 5*n + 7 = 0, -n + x = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755857383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 8*q + 4. Suppose 0 = 2*g - 4, t + 2*g = -g - 2. Let v be j(t). Let h = v + -2. Calculate the remainder when 5 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/((-15)\/(-114183)))\/((-126)\/840) - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let y(f) = 8*f - 28. Let a(t) = 2*c(t) + y(t). Is a(14) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 4, 28, 72, 142, 244, 384, 568?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*c + 194*c - 27580*c**3.\nAnswer: -27580*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 25*p**3 + 4*p**2 - 2*p. Give c(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(sqrt(84) + sqrt(84)*4))\/(sqrt(432)*3*-5).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.1, 0.5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5628)\/3752*18\/(-2)?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)*(30 + -2). Is -3 + g\/(4\/(-2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.2 - 10.7. What is the second smallest value in 21, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + -10755821479.\nAnswer: -10755821477.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/90 - 524\/(-9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**3 - 2*o**2 - o. Suppose 5*f + 1 + 4 = 0. What is b(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/3 - (-45)\/3. Suppose -3*h + h = -4*x - l, 5*h - 72 = x. Let c(f) = -f**3 - 16*f**2 - 18*f - 18. Calculate the remainder when c(-15) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from zvvkkvvvzvvvkzkv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f - 2*x - 8, -2*f - 4*x - 16 = 0. Which is smaller: 1\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eyr when three letters picked without replacement from rogyregtrrtretreeggg?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-7442533\nAnswer: 446551.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1851287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. What is the remainder when 21 - (n\/2 - 1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -147 and -8759.7186979.\nAnswer: -8906.7186979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 9*w**2 + 1 + 0*w + 0*w. Let z be p(1). Let g be (8*1)\/2*1. Solve 0*i - g*i = z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 3025*h + 3021*h + 136, 37*h = 5*g + 1418 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/7)*(d\/(d*(d*d\/(d\/d**7)*d)\/d)*d)\/d*((d**1\/d)\/d*d)**(-7))\/((d**(-1))**(-50))**(-23) assuming d is positive.\nAnswer: d**(7992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31300.186 minus 8748099?\nAnswer: -8779399.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -15*z - 733. Let t be w(-49). Let v(i) = -i**2 + i + 3. Let p be v(0). Sort p, -4, t, -5 in increasing order.\nAnswer: -5, -4, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 37 + 7 = 0. Let z(c) = c**2 + 12*c + 14. Let f be z(m). What is the derivative of 5*s**3 - 4*s**f + 5*s**3 + 6 wrt s?\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108456 divided by -3?\nAnswer: -36152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {g: 9, a: 5}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, r: 3, m: 2, y: 1, v: 3, w: 2}. Give prob of sequence vwy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:52 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d - 685. Let p(g) = -46*g**2 - 4. Give i(p(q)).\nAnswer: -92*q**2 - 693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 268 + 44. Is 24 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463321 is divided by 154300.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39238*i**4 + 18211*i**2 wrt i.\nAnswer: -941712*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(700) - (sqrt(700) - (3 + -1 + sqrt(700))) - (sqrt(700) + -2 + 5 + -6*(sqrt(700) - (sqrt(700) + -2))))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 17. Suppose 4*w - 4*m - 12 + u = 0, 0 = 2*w + 5*m + 24. Which is bigger: w or -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100.5 - -100. Let l = 2 + -1.7. Sort l, -0.4, h in increasing order.\nAnswer: h, -0.4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.261649l?\nAnswer: 6261.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 87 + 1 = 25 - 93 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 2:57 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:39 AM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 144*j**3 + 16467216*j**2 - 71359964*j + 77307360 = 0. What is j?\nAnswer: -114360, 13\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 814*840\/4620*1\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -12 - 7) + (-5 - (1 + 1))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68476, 136937, 205398?\n\"Answer: 68461*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 b when four letters picked without replacement from tbbxtxbtbtt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/((-4)\/(-10)). Suppose h + 80 = b*h. Let n = -15 + h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/54679 or 1?\nAnswer: 3\/54679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1714 + 1954 = 12*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - 6. Let t = c - -148. What are the prime factors of t?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110101101110110010101101 + -10?\nAnswer: -110110101101110110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -107 (b) 0.29 (c) 85\/216\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 0)\/(1\/(-5)). Let h be (-21)\/84 + -3 + (-111)\/(-12). Find the third derivative of -z**3 - 7*z**2 + h*z**2 - k*z**2 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 1\/3 (b) 6\/23 (c) -2 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-17755)\/(-1675) + (32\/(-4) - 2))*100\/18\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-189) + (-219)\/(-27)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343)*2 - (3 + sqrt(343) + -1 + sqrt(343)) - (-3 + 4*(sqrt(343) + -1)))**2.\nAnswer: -560*sqrt(7) + 21977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/17)*k\/((k\/((k**(-8)*k)\/k))\/k))\/(k**12\/(k*k**(5\/2))) assuming k is positive.\nAnswer: k**(-529\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14762, 59164, 133188, 236840, 370126, 533052?\nAnswer: 725624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*s - 5 = 0, 2*q + 4*s + 1 = 3. Let k(w) = q + 1 + 2*w - 6. Let j(v) = 5*v - 9. Let p be 4\/2 + (2 - 0). Give p*j(a) - 9*k(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-162)\/12 - (-3)\/(-2). Let n be ((-40)\/c)\/8*(-3)\/(-1). What is the hundreds digit of n\/((-5)\/(-785)) + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*d**3 + 18*d**3 + 10*d**3 + 10*d**3 + 25*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/12 and -143\/22706718.\nAnswer: 45413436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*o - 8 = 0. Let a be ((-6)\/10)\/((-12)\/5). Sort o, a, 2\/7.\nAnswer: o, a, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 + 11*h - 5. What are the prime factors of x(-9)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3364 to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(-1)*g)*g)**(1\/6)\/(g\/g**(-1))**(-10)*(g**(5\/2)*g**0)**(-3\/20) assuming g is positive.\nAnswer: g**(479\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 18. Let b be (-6)\/g + (-38)\/(-14). Suppose b*k + 2*k = -3*c + 482, 754 = 5*c - 4*k. What is the highest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-30)*4*(-27)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 - (3 + -5 - 1). Calculate the least common multiple of 2 and ((-6)\/1)\/(r\/3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-26 - -31 - (-2 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*x**2 - 54*x + 36*x**2 + 72*x + 35*x**2 - 18*x.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188776\/37 - 5102. Sort -1, 0, 0.1, c.\nAnswer: -1, 0, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583 a factor of 75924385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k - 5*l = -10, 0 = -3*l + 9. Let v(o) = -9*o + 105. Let z be v(8). What is the remainder when 2\/1 - z\/k is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 9*s - 9*s + (-3 + 3 - 10)*(s + 4*s - 3*s) to the form r + f*s and give f.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2136 is divided by 217?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -101*o**2 + 48*o**2 + 5 + 3 + o**3 + 46*o**2. What is w(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.5 + 24. Sort 9\/5, t, -4, -0.3.\nAnswer: -4, -0.3, t, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 4. Let x be j(8). Let b(q) = -x - 6*q + 2 - 2 + 2. What is the tens digit of b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g - 3. Suppose -6*u + 9 = 4*j - 3*u, 0 = -5*u - 5. Let d be i(j). Solve 3*m = -4*t + 13, 2*m + 5*t - d = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 116. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -696.9012? (a) 2\/19 (b) 4\/5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = h - 14, -15*o + 11*o + 26 = 5*h. Solve 7 = 3*r - h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + v = -4*a - 27, -3 = a for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11502 - -161145\/14. Calculate the common denominator of y and (-285)\/72 + 4\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 10 + 1 = 3*k, k - 3*q + 3 = 0. Which is greater: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18442 is divided by 318?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a. Let z(r) be the first derivative of -5*r**2 + 80. Determine z(o(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/5)\/d)\/d*d*d)\/(d*d\/d**(1\/4)))\/(d**(-1)*d*d**(-1\/3)*d*d) assuming d is positive.\nAnswer: d**(-217\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -104184 divided by -6?\nAnswer: 17364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.295 - 0.522. Let y = -5.927 - p. What is y rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 41*a - 527. Calculate b(7).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -994, -2780, -6148, -11890, -20798?\nAnswer: -33664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - (sqrt(38) - (sqrt(38) - (-1*sqrt(152))\/sqrt(4) - sqrt(38)) - sqrt(38) - sqrt(38))) + sqrt(1862)*-2)\/(-2*3*sqrt(2) - sqrt(128)*2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3504 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6 - i - 2 - 3 + 2*i. Let x be t(2). List the prime factors of (-1)\/x + (-7)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29112)\/606500*10\/(-3)*2\/(-4)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 5.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11040557 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 41490.47 to the nearest 100.\nAnswer: 41500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98)*-2 + sqrt(98)) + 3 + (1 + sqrt(98) - sqrt(98)) + -2)**2 + -3.\nAnswer: -140*sqrt(2) + 2451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -611674, -611471, -611268?\n\"Answer: 203*j - 611877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9552 by 1.\nAnswer: -9552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v**2 - 85*v + 1210. Let m be z(22). Calculate the greatest common divisor of 99 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t + 5 - 2 - t. Let x be (-2)\/(-1)*3\/6. Let p be (x\/(-3))\/(-1)*6. What is d(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235419968 * 6\nAnswer: -1412519808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m**3 + 490*m**2 + 24684*m + 24192 = 0. What is m?\nAnswer: -42, -1, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 7*p**4\/12 - 4*p**3 - 11*p**2 + 261*p. What is the units digit of m(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0099237 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6 - 14. Suppose -y + 12 = 2*d. Suppose d*t = 35 + 1. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from jsjjjjjj.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 - 7 - 7 - 17*i**2 wrt i?\nAnswer: -34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + a + 15, 2*p + 0*p + 4*a - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -250398 greater than or equal to -250398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -931.21434 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nys when three letters picked without replacement from nnyvnnvvsnv?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*v**2 - s**2*w + 86*s**2 - 3*s*v + v**2*w**3 - 138*v**2*w wrt w.\nAnswer: -s**2 + 3*v**2*w**2 - 138*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 3 - 1 + 59316*f - 63190*f in the form q + u*f and give u.\nAnswer: -3874","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1350806 or 1350802?\nAnswer: 1350802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -290, -617, -1196, -2111?\nAnswer: -3446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 2858 = -248. Let b = -433 + c. Solve 5*l + 2*r = -19, r = -b*l + 6*l + 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-10\/13)*m**2\/m*(((m\/m**(-7))\/m)\/m)\/m)\/((m*m\/m**(-5)*m)**(3\/34))**(-38) assuming m is positive.\nAnswer: m**(7424\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*k - 9, -2*s - k = -12 + 1. Suppose s*w + 28 = 4*q + 2*w, -5*w = 5*q - 35. Solve -5*z + q = -5*c + 22, -4*z - 20 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 8 = -3*o. Let x be (-5)\/(20\/(-7080016)) - o. What is x rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 452\/5 + -90. Find f such that 0 + 0*f + 0*f**2 + d*f**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and 6?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 9. Suppose 2*u + 4*y + 0*y - 20 = 0, 2*u = -y + 23. What is the remainder when h(7) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86647.9603 - 86643. Round v to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/60 - p**4\/24 - 6*p**3 + 37*p**2. What is the remainder when 14 is divided by x(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9788*h**3*n + 2*h**2*n - 3*h**2 - 4*h - 13*n wrt h.\nAnswer: -58728*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5589.8862 and 6173.\nAnswer: 11762.8862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -4. Let a = 352 - 334. Suppose a*k - 15*k = 9. Solve k*t + 2 = -n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + -7 - -3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*p + 6, -p - 171 = 3*d - 152. Sort -26, 4, -3, 1, p in increasing order.\nAnswer: -26, p, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 349210.\nAnswer: 10825510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000101010100000110 + -11?\nAnswer: 1000101010100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -841116.99 rounded to the nearest one hundred?\nAnswer: -841100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/17 (b) -2 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-4) + 3597802\/(-52). What is n rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/123, 1\/2, -2.6, 4 in descending order.\nAnswer: 4, 1\/2, 4\/123, -2.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(2 - 1 - 3) - z + 974 - 974.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 13*k**2 - 4 + 538*k**2 as d + l*k**2 + w*k and give l.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 504642153 a multiple of 2193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2002 - ((-2 - -6) + -2). What is b rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -142. Suppose 0 = -4*b + 3*r + 32 + 15, 0 = -4*b + r + x. Suppose -4*w + 4*f + 2 - b = 0, 0 = -f. Which is greater: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 5. Let c(a) = a + 5. Suppose 1 = 4*u - 23. Let d(s) = u*c(s) - 7*m(s). Let n(l) = -1 - 23 + 26 + 0. What is -2*d(t) - 5*n(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 18*y + 92. Let k(t) = 74*t + 366. Let j(n) = -22*d(n) + 6*k(n). What is the derivative of j(p) wrt p?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 3389 (c) 3 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171105 is divided by 648?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 - 14*t**3 + 2*t**4 + 13*t**3 - 3*t + 2*t**2 to n*t**4 + u*t**3 + x + c*t + o*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/13596? (a) 1\/5 (b) 0.5 (c) 1\/13 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -7*i - 10. Is 3 a factor of -4*(3 + 9\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117937070789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 7. Let d be (-1)\/(-2*z\/(-10)). Let r be (9\/3)\/(13\/(156\/(-162))) - 0. Which is the second smallest value? (a) r (b) 3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48729959 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 84, 249, 550, 1029, 1728, 2689, 3954?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-44594)\/297)\/(2\/3). Let x = y - -225. Let d = 881 + -881.4. Which is the nearest to x? (a) -5 (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/8 (b) 38 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2254895 by 46.\nAnswer: 2254895\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6503051?\nAnswer: 41, 158611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 2*i + 3362 + 2558 + 1463 - 1209.\nAnswer: 2*i**3 + 2*i + 6174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*u - 5, -6*z + 2*u = -46 + 76 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 487776?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-69)\/(-2))\/(-3) + -2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 b when three letters picked without replacement from didvvybvbibyyiio.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - o = -14, -3*j + 5 = -4*j + 4*o. Suppose 4*l - 5 = 11, 0 = -k - j*l + 13. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 - 8*b + 8. Let i = -35 + 41. Determine p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*-1*(-8)\/(-20)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -897945892*l**4 + 19236*l**2 - 5619*l - 3 wrt l?\nAnswer: -21550701408*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.01 + -0.01. Let p = 211 - 5909\/28. Let h = -15\/28 - p. Sort 1\/7, h, y in descending order.\nAnswer: y, 1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-1)))**(12\/17)\/(y**(-1)\/y)**(-16)*(y**0)**(-34)\/(((y\/(y*y\/((y\/((y**(-3)\/y)\/y*y*y))\/y)*y))\/y)\/(y*y**(-1\/9))) assuming y is positive.\nAnswer: y**(-4868\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6*9)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*q - 245*q + 1361 - 171 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a factor of 1522920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(75*h + 92*h + 431*h).\nAnswer: -1196*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558739251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3336 = -154*o + 1026 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i**3*q**3 + 11076*i**3*q**2 + 82667*i**2*q**3 + 2*i*q**2 + i*q + 2*q**2 + 3*q wrt q?\nAnswer: -6*i**3 + 496002*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 - 40*k**2 + 22*k**2.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 6*v**2 + 2*v - 6. Let i(m) = -m + 18. Let n = 41 + -29. Let o be i(n). Determine y(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 13*a**2 - 3*a - 41. Calculate k(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -15. Let r = n + -98. Let c = r + 64. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 + 420*m + 3968. Calculate k(-9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -26457747 divided by 3?\nAnswer: -8819249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1528 + 5?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 40*a - 493. Let i be l(-50). Calculate the greatest common factor of i and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6 = -3*s, f = -5*s - 15. Suppose f*n + 44 = 2*n. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j - 4*j)*(0 + 2*j + 0 + 448*j - 367*j - 199*j + 0*j - 3*j + 2*j - 2*j + j + 2*j + (-j - 4 + 4)*(0 + 3 - 4)).\nAnswer: 690*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 + -89 + 60 - (-58)\/(-3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 7 + 140 = 0. Suppose 3*g = p*g - 0*g. Which is greater: g or -3\/49?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(190) + sqrt(190))*-3 + sqrt(190))\/sqrt(10).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.463 (b) -0.4805 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 15*x + 4. Let l(z) = 10*z + 3. Let g(f) = 5*i(f) - 8*l(f). What are the prime factors of g(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 9*a**2 + 3*a - 21. Calculate u(7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -32. Suppose 3*o + 3 = s, 5*g - 2*g = 3*o + 78. What is the highest common factor of 150 and g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 16. Suppose -b*a + 36 = 5*i - 3*i, -2*i - a = -45. What is the greatest common divisor of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let l(m) = -115 + 48 + 40 + 3169*m + 27. Determine l(s(w)).\nAnswer: 9507*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 10*d**2 - 17 - d - 6*d + 4*d + d. Is i(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-6)\/9)\/(7\/(-1092)) is divided by ((-2)\/4)\/((-2)\/72)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1001 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -8219?\nAnswer: 6\/8219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence arry when four letters picked without replacement from rrmaaamrrarmymaa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**3 - 8*v - 4. Give r(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) 5 (c) 6\/11 (d) -0.4 (e) 266\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*s = -20136, -5*s + 78 - 88 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/144 and -73\/109014.\nAnswer: 2616336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1, -17 in increasing order.\nAnswer: -17, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1148, 1156, 1174, 1208, 1264, 1348?\nAnswer: 1466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v + 5*v - 24*v.\nAnswer: -34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2048 divided by -28.\nAnswer: 512\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, -2, -29286, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215 + 215 - 2*x**3 - x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1629886418 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138, -2317, -3514, -4711, -5890, -7033, -8122, -9139?\nAnswer: -10066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -93, -288, -665, -1284, -2205?\nAnswer: -3488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171)*-2 + sqrt(171))\/sqrt(9) + -2*sqrt(19) + -4)**2 - sqrt(133)\/(-1*sqrt(700)).\nAnswer: 161*sqrt(19)\/10 + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1924928 and 25080?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1547aab2 + 4?\nAnswer: -1547aaab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1.3. Let x = o + 17.5. Let m = -18 + x. What is the closest to 1 in -0.1, m, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z**2 - 2*z + 5. Let m be f(-4). Let d = -164 + 178. Find the common denominator of 4\/14 + m\/d and -53\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0*h**3*h**(3\/7)*h*h**(-1)\/h)\/(h**(-2\/11)\/(h\/h**1))**36 assuming h is positive.\nAnswer: h**(691\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 128*d**4\/3 + 160*d**3 + 225*d**2 + 433*d. Factor m(o).\nAnswer: 2*(16*o + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9618 by -9.\nAnswer: -3206\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -24*f + 33. Calculate the highest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**3\/11 - 35622*x**2\/11 - 28416148*x\/11 - 2580048 = 0?\nAnswer: -16974, -836, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2906 and 16.\nAnswer: 23248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3380\/20 - ((1 - 2) + 5). Let h = r - 163. Let 1 - 5\/2*z + 5\/2*z**3 - 9\/2*z**h + 7\/2*z**4 = 0. Calculate z.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.4250486 rounded to 2 dps?\nAnswer: -20.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499 - -456. Do 6 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = 8. Let p be (k - -1)*(2 + -2). Suppose 2*z = -4*i + 16, p = -0*i - i - z + 6. Solve -i*x - 20 = 5*b - 7, 5*b + 3*x = -17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-7)*a**(-2\/67))\/(a**(-10)\/a*a\/a**(-10)))**2 assuming a is positive.\nAnswer: a**(-942\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 23. Let n = 29 - 27. Suppose n*z = 14 - 10. Solve z*b - f = -2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2. Let z(n) = -5*n**3 - 2*n**2 - 2*n + 2. Let u(c) = -3*r(c) - z(c). Let y = 356 + -354. Determine u(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + -4 + -3 + 7. Let t = 9 - 14. Let p = -2.44 - -0.44. What is the smallest value in t, d, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511928269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 88*z - 34. Give o(-2).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o - 63. What is s(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4 + (-3 + 1 + sqrt(242))*5)*-6.\nAnswer: -330*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 (base 14) in base 4?\nAnswer: 302210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 195, 188, 159, 96, -13?\n\"Answer: -2*f**3 + f**2 + 4*f + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12791 + 268613\/21. Which is the biggest value? (a) -1\/4 (b) 2 (c) 10 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z**3 + 95*z**2 - 10*z + 34. What are the prime factors of p(-12)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 12. Let g be w(11). Solve -2*c - g = -3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*x**2 - 3*x**3 - 102*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 3*v**7\/14 - v**5\/20 + v**4\/4 + 5*v**3\/3 - 59*v**2\/2 + 50*v + 49. What is the third derivative of w(d) wrt d?\nAnswer: 540*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 223*s**2 + s - 4. Let l be h(-2). Let k = -256 + l. What are the prime factors of k?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-19)\/(-9) - (-3)\/(-27). Solve -s*w + 8 + 9 = 5*z, -5*w - 25 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*d - 4 = 0. Let g = d - -5. Suppose 0 = g*j - 5*p - 21, -5*p - 17 = -3*j - 5. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 421*f**3 + 423*f**2 + 421*f - 422.\nAnswer: -(f - 1)**2*(f + 1)*(f + 422)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2*q\/(q\/(q\/(q\/q**1*q)))*q*(q\/q**(-3\/7))\/q**5)**15 assuming q is positive.\nAnswer: q**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1092996 divided by 291\nAnswer: -3756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, -6, -3 in decreasing order.\nAnswer: 4, -2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 812 + -549. Let a = -262 + i. Let r(t) = 2*t - 3. Let x be r(4). Solve -4 - a = x*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 879159 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - 0.1. Let g = -43 + 130\/3. Let t = g - 5\/9. Which is the nearest to 1\/2? (a) 4 (b) h (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29933.18 to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2871 and 13\/28391?\nAnswer: 255519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032.5928 rounded to the nearest ten?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -394*s - 2213. Determine l(-4).\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*(((-2)\/2)\/(42\/(-168)))\/(-4)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/5 - 85088*m**2\/5 - 340373*m\/5 + 85092 = 0. Calculate m.\nAnswer: -5, 1, 85092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-398)\/1*(-18)\/20)\/(1\/65).\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29 - 3*s + 0*s + 26 wrt s?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 350482.4.\nAnswer: 350478.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (2 + 8 + -3)) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3 = 5*j + 7, -3*v - j = 2. Let n = 12\/7 + -10\/7. Which is the second biggest value? (a) -0.4 (b) v (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 12:39 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 23. Suppose -62208*a = -62184*a - 48. Solve 5*d = a + r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*(-3 + 0). Let j = v - -14. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -392 * 1.493098\nAnswer: -585.294416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -98019920 divided by 19603984?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -219231 >= -256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 174, 160, -1950 in increasing order.\nAnswer: -1950, 0.2, 160, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**5)*q)**(5\/3))**(3\/26) assuming q is positive.\nAnswer: q**(-10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/(-12) + (-8901)\/(-36) is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255619 and 2597.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*d**2*g**2 - b**2*d**2 + 1669*b**2*d*g**3 - 19*d**2*g**3 + 29338*d*g**2 wrt g?\nAnswer: 10014*b**2*d - 114*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2893, -23178, -78239, -185464, -362241, -625958, -994003?\n\"Answer: -2898*c**3 + c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1319492 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irilvririrrovorvrv. Give prob of sequence ovvi.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {a: 2, e: 1, o: 2, w: 2, v: 1, m: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/14)\/((-3)\/2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -1 + 0 - 3) + -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/791 + -113849\/8701. Do t and -14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z**2 + 8*z**2. Let s(n) = -n - 1. Let i(g) = g - 3. Let m(y) = -i(y) + 3*s(y). What is p(m(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 246, 430, 614?\n\"Answer: 184*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 8)\/(21\/100387) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -325 + 326. Let g = -0.28 + -0.02. Let l = g + 0.1. Which is the closest to f? (a) l (b) 1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -110010110?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 2. Let l(q) = 5*q - 5*q + q**n + 0*q. Let t(w) = -2*w**2. What is l(t(c))?\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12049829, 24099657, 36149483, 48199307, 60249129, 72298949, 84348767?\nAnswer: 96398583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-5 - -3 - 15) - -4 - -13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107.342015 minus -2.9?\nAnswer: -4104.442015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 182593 divided by -1116?\nAnswer: -182593\/1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/234*874\/342?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/44? (a) -0.1 (b) -1 (c) -7 (d) -30\/19 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let n(j) = -5*j + 8. Let a = -5 - -8. Suppose 0*c = a*c - 3. Calculate c*n(p) + 6*u(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 460*f**2 - 3180367*f - 6358886.\nAnswer: (f - 2029)*(f + 2)*(f + 1567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -389 - -13b9c?\nAnswer: 13813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100100100 - -110022101?\nAnswer: 2222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, -5, -10, 2\/5 in descending order.\nAnswer: 2\/5, -0.18, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 465, 518, 613, 762, 977, 1270, 1653?\nAnswer: 2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*(-8)\/(-18). Let r be 1\/4 - (-15)\/20. Suppose -t + r = 2. Which is the smallest value? (a) t (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -387100000 rounded to the nearest 1000000?\nAnswer: -387000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:10 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iig when three letters picked without replacement from {i: 2, r: 1, g: 1, e: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*w - 2644 = -6694 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 11) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10*z + 8. Let g = -13 - -20. Let q be y(g). Suppose -q = -h - 0. Solve -2*v - 2*c + 8 = -4, 4*v + 5*c = h for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 8*o - 229. Let v be l(6). Is v not equal to 1\/48617?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)*t**(-5))\/(t**(-10)*t**(-7)))**(-15\/2) assuming t is positive.\nAnswer: t**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 127252 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 212, 1\/7, -2, -0.06, 1, -2\/167, 18\/7?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 2*s**2 + 2*s + 2. Let j be a(2). Suppose y + 22 = q + j*y, -4*q + 3*y = 4. Suppose -q*h = -h - 18. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2457 and 143793?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1325, -2520, -3717, -4916, -6117?\nAnswer: -7320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - 56. Suppose 63 = v - 4*j, b*v + 126 = 2*v - 4*j. List the prime factors of v.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 885*m**3 - 30905*m**2 - 30015*m.\nAnswer: 5*m*(m - 207)*(m + 1)*(m + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b**3 + 168426 - 168426.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*x + 9*h + 35, 3*h + 33 = 3*x - 0*x - 4*h + 4*h for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16722 and 21?\nAnswer: 117054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.74479 hours to milliseconds.\nAnswer: 27881244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28675 divided by 3360\nAnswer: -5735\/672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by 6\nAnswer: 41\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 4. Calculate the greatest common divisor of n and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - (-2 - (-2 - -3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215*x + 331*x + 137*x + 202*x + 14*x to z*x + q and give z.\nAnswer: 899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11970 + 11980. Solve -5*j - g = -3*k, -2*k + j = -0*k + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747819 is divided by 176?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3328157 to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41.00000082 - 41. Round q to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28975, -115903, -260773, -463585, -724339, -1043035, -1419673?\nAnswer: -1854253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 47, 71, 95, 119?\n\"Answer: 24*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or 9\/394?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-7))\/(-3))\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -268, -275, -284, -295, -308?\n\"Answer: -p**2 - 4*p - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -11*y + 6*y. Let h(o) be the first derivative of -o + y*o**2 + 2 + 9\/4*o**4 + 2\/3*o**3. What is h(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.466231335 + -0.59187.\nAnswer: -1.058101335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Let y(z) = 9*z - 48. Let c be y(15). Let o(t) = c + 60*t + 63*t - 124*t. What is o(p(n))?\nAnswer: 2*n + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -c0 (base 15) in base 2?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 836 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 6. Let j = 587 + -579. Determine i(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2121, -93, 10, 5 in ascending order.\nAnswer: -2121, -93, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 35*o - 195. Determine n(9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, l: 1, n: 3, e: 2, u: 1, m: 2}. What is prob of sequence ueu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25\/2, -17, 4, -0.5, 1, -195 in descending order.\nAnswer: 4, 1, -0.5, -25\/2, -17, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71577 + -29166. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (1 + 2) - 5 - -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -871, -2985, -6507, -11437, -17775, -25521, -34675?\n\"Answer: -704*o**2 - 2*o - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.2 - 9. Let w = 19 + -20. Let r = p - w. Which is the third smallest value? (a) -0.1 (b) r (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-2))\/2*5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f - 149 = -137 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 810035355 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011504 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrslsll. What is prob of sequence lr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 10*j**2 - 11*j + 8. Let a be t(8). Let q be (-6)\/(-27) + a\/27. Sort -4, 4, q in decreasing order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1509 - 239 = -38*g for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*i - i, -2 = g - i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x - 6. Suppose 0 = -x*i + 2*i. Is 1\/3 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*u + 8370, -59*u + 54*u - q + 8395 = 0. Is (-1)\/((-51)\/(-34) - 2519\/u) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 73, 4\/11, 308.\nAnswer: -17, 4\/11, 73, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(2\/31)*k**5\/(k**(-5)*k) assuming k is positive.\nAnswer: k**(277\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)*m)\/(m\/(m*m\/(m**2\/m*m)))*m\/(m*m*m**(-4)\/m)*m*(m**(-3\/4)\/m)\/m*(m**6\/m**4)\/(m*m*m**(2\/5)*m)**(-1\/6) assuming m is positive.\nAnswer: m**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 0*g**2 - g**2)*(6 + g**2 + 5*g + 11*g - 14*g).\nAnswer: g**4 + 2*g**3 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/15 - r**4\/6 + 7*r**2 - 6*r. Let i(q) be the first derivative of g(q). Factor i(d).\nAnswer: 4*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8740 divided by 57\nAnswer: 460\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272068310*h**4 + 117629*h**2 + 432?\nAnswer: 6529639440*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 2*s**4)*(s + 0 + 0) + (3*s**2 - 3*s**2 - 2*s**2)*(0*s**3 - s**3 - 4*s**3) + 3*s**5 - 5*s**5 - s**5 - s**5 + s**4 - s**4.\nAnswer: 8*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3\/2, -3, -1\/5, 1\/4 in descending order.\nAnswer: 3\/2, 1\/4, -1\/5, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (290\/60)\/(-29)*6\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-4 - -6) - -249. Let g = d + -147. What is the remainder when g is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 10\/37, -4\/3 in descending order.\nAnswer: 10\/37, 0.16, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -57. Let b(v) = 3*v**2 + 5*v - 6. Let s be b(-6). Let z = s - y. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17 + 1*(28 + -1). Solve -2*o - 16 = -5*r, 4*r - 3*o + 0 = f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58774964, -58774970, -58774976?\nAnswer: -58774982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 42. Suppose -k = -6*m + m + 42, -3*k - a = -3*m. Calculate the greatest common divisor of m and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 + 9*v**3 + 413*v**2 wrt v.\nAnswer: 72*v + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 7*h - 245 = 0. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195.63*2.\nAnswer: -391.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667236?\nAnswer: 2, 3, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.73 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-1)\/(1\/(-2)). Let u be 8\/(-2)*105\/(-20). Let t be (-2)\/3*(-9)\/u. Is h equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 362 minutes after 5:09 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 27 = -7. Let a be 3\/6 - (-39)\/2. Suppose v*r + s - a = 0, r = s - 1 - 1. Which is smaller: r or 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1012 - -913.3. Let g = y + 56.7. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -145*i**2 - 141*i**2 + 285*i**2. Let p(a) = -a + 91. Calculate p(s(n)).\nAnswer: n**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 58804 less than -39?\nAnswer: -58843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*n + 10 = -0*n, -4 = -g - 2*n. Suppose 9*k - 771 - 57 = 0. Suppose -105 = -99*a + k*a. Solve -5*y - a = -g*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 120\/405*-24 + 7. Which is the nearest to -4? (a) -4 (b) t (c) 0.3 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 - 72\/(-286). Let r = k - 1785\/693836. Let x = 60659\/10917 + r. Find the common denominator of x and 121\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -220*c - 87. List the prime factors of m(-6).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35936.0961 + -35939. Let p = 6.3 - 3.4. Let q = p + x. Round q to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18)*2)\/((3\/(-10))\/(18\/(-520))).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-69)\/(-644)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/726 and 59\/14.\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 + 4*d**4 - 5*d**3 + 2*d**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - (-8 + -3 + -2 + (66 - 68) - -10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*l = 121*l + 45. Let p be (1 + -69)\/(l + 8). Is p not equal to 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 42 = 22*l + 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 2*x**3 - 4*x**3 - 2*x**4 + 11*x**2 - 11*x**2 + 2*x**4 + (-1 + 1 + x**3)*(x - 1 + 1) + 0*x**4 + 2*x**4 - 4*x**4.\nAnswer: -x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 236767 (base 8) in base 3?\nAnswer: 11010122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78759.2kg to micrograms.\nAnswer: 78759200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, r: 6}. Give prob of picking 4 r.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b - 179*b - 124*b = 5952 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -21.1. Let g = s - 0.4. Let k = 0.5 + -1. What is the third biggest value in g, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 - 7666*o - 30647. Calculate s(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*v - 455*v = -1295*v - 282690 for v.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 154954430 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 4, 59 in descending order.\nAnswer: 59, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + 324. Let o = f + -77. Is 40 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.6 times 0.04\nAnswer: -0.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12106 + -253506?\nAnswer: -265615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + f**2 + f + 3. Let k be m(3). Let i be (k\/(-15))\/((-2)\/5). What is the nearest to 1 in 4\/7, i, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 14. Suppose 10*t + 196 = 24*t. Suppose -11*v = -t*v - 9. Sort 5, z, 2, v in increasing order.\nAnswer: v, 2, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4966897?\nAnswer: 13, 382069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 2*i + 2. What is u(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -1, -8, -5, -3 in decreasing order.\nAnswer: 45, -1, -3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -16*l**3 + 20*l**2 + 68*l - 280. Let s(t) = -19*t**3 + 20*t**2 + 67*t - 278. Let h(j) = 4*s(j) - 5*v(j). Factor h(k).\nAnswer: 4*(k - 6)*(k - 3)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/50 of a kilometer?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*l**2 + 1621*l**2 - 2638*l**2 - 4011*l**2 - 3849*l**2 + 1371*l**2.\nAnswer: -7160*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 0, 2, 535, -2, 4.\nAnswer: -45, -2, 0, 2, 4, 535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.06*-3.\nAnswer: 9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -206, -10 in descending order.\nAnswer: 1, -2, -10, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, w: 8, t: 4}. Give prob of picking 3 t and 1 r.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 + -2.90000408. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v\/(v\/v**(2\/17)*v)*v*v)\/v)\/(v**(2\/7)*v))**(-25)*((v\/(v\/(v**(4\/5)*v)))**(-4\/35))**26 assuming v is positive.\nAnswer: v**(-152162\/2975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9200151cm to micrometers.\nAnswer: 9200.151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -21656250 to the nearest one hundred thousand.\nAnswer: -21700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*o - 51 - 664 = 0 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 26. Solve n = -z*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100001111 (base 2) to base 14\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -6293648.\nAnswer: 13\/1573412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 - 21*x - 11. Let w(u) = -3*u**2 - 11*u - 4. Let k be w(-4). Let d = -30 + 38. What is the remainder when z(k) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12)*-6))**2 - sqrt(81)\/sqrt(3).\nAnswer: -3*sqrt(3) + 1\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazzebxb. What is prob of picking 1 e and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50840682 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:38 AM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48711 (base 9) to base 5.\nAnswer: 2021103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/(-1760))\/(1\/260)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 - -1051. Let l = -551 + z. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 4. Let y be z(2). List the prime factors of 4\/(y\/(-5)) + 4587\/12.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (sqrt(144) + -1*sqrt(144)))*3)\/(sqrt(12) + sqrt(132)\/(sqrt(11)*2)))\/((-2*sqrt(36)*-1)\/(1*sqrt(1296))) + 2.\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -4, -1 in increasing order.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/10, 17078, -4\/13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*w - 295, 2*w + 10 = 4*w. Suppose -2*p + g = -74. Suppose r + 2*l - 79 = p, 2*r - 258 = 2*l. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1419 (base 11) to base 16.\nAnswer: -72b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 12:33 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31395437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 - 220*x - 2 - 315*x + 755*x - 220*x + 2.\nAnswer: -33*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.7 and -254702.203.\nAnswer: -254703.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*l + 227*l - 2642 - 1075 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -16*i - 183. Determine v(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4310\/7 + 37859047\/61488. Let o = 16847\/96624 - d. Calculate the common denominator of o and -83\/8.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb (base 16) to base 6\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257 - 26*m**2 + 55*m**2 - 29*m**2 - 12620*m**3 + 12625*m**3.\nAnswer: 5*m**3 - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53954195129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/6 - 23*g**5\/60 - 24*g**2. Find the third derivative of u(n) wrt n.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120496 to the power of 1\/2, to the nearest integer?\nAnswer: 1766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 6767350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -80, -318, -710, -1250, -1932, -2750?\n\"Answer: p**3 - 83*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-232)\/(-28) + ((-18)\/21)\/3. Suppose 3*q + j = 32. Is q\/(-44) + (-9913)\/(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkgxzjzxk. Give prob of sequence xgz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -14. Let f = 12.2 - s. What is the third smallest value in f, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3484752 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 27121*f**2 + 104*f + 104. Is 86 a factor of r(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -3 - (0 - -6)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-5)*40\/16. Let m(x) be the second derivative of -2*x - 5\/2*x**2 + 0 - 1\/12*x**4 - 5\/6*x**l. Let f(i) = 2*i + 2. Determine 5*f(z) + 2*m(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 9*v**2 + 7*v - 7. List the prime factors of s(-10).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10021 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 20004?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17.93 + 20.93. Let x = -4.05 + 4. Let y = -0.25 + x. What is the fourth biggest value in y, 2\/9, 5, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 15*t**2 + 2*t. Let n(b) = 3*b**3 - 29*b**2 + 5*b. Calculate 5*g(i) - 2*n(i).\nAnswer: -i**3 - 17*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 7*r - 7. Let x be j(-5). Suppose 22 = 7*o + 8. Factor -6*v**2 - 8*v**x + 5*v**4 - o*v**3 + 7*v**2 + 4*v**2.\nAnswer: 5*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**3 + 4*m + 2. Let t(p) be the second derivative of 11*p**5\/20 + 11*p**3\/6 + 3*p**2 - 1206*p. Calculate 3*t(x) - 8*y(x).\nAnswer: x**3 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3\/19, -16, 2, 1?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 28*i + 19*i + 66 = 0, 8 = 3*i - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/23683 and 3\/26964172?\nAnswer: 296605892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6887 is divided by 123?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13204607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/3*((-24)\/(-20))\/(6\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1 + -1.3. Let w = 0.6 - f. Let r = 2\/2455 + -1966\/2455. Which is the second biggest value? (a) r (b) -15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**4 - 16*i**3 + 36*i**2 - 32*i + 12. Let g(o) = -40*o**3 + 5*o**4 + 1 - o + 41*o**3 - 4*o**4. Let y(f) = 4*g(f) - n(f). Factor y(d).\nAnswer: -4*(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1461440 - 124140. Round n to the nearest 10000.\nAnswer: 1340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34486 + 0.15514. What is the biggest value in 0, 0.2, 8, n, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 634 + -277. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 6*k**5\/35 + 19*k**4\/14 + 62*k**3\/21 - 3*k**2\/7 - 36*k\/7 + 250. Determine s so that d(s) = 0.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**2. Let v(b) = b**2 - b + 2. Let k(c) = 8*c**2 - 4*c + 8. Let l(d) = -5*k(d) + 20*v(d). What is l(u(o))?\nAnswer: -720*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/(5\/150). Suppose 0 = -3*l + 4*f - 184, -4*l + 9*l - 2*f + 302 = 0. Let r = d - l. What is r rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*d - 42 - 41 + 115 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (120\/100)\/((-21)\/(-4))*10\/8\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/((-80)\/4760*(80\/(-36) - -3))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*x**5 + 95*x**4 - 430*x**3 + 160*x**2 = 0.\nAnswer: -2, 0, 16\/35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -391, -1329, -3377, -7087, -13011, -21701, -33709?\n\"Answer: -92*w**3 - 3*w**2 - 285*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 3507, 5233?\nAnswer: 6959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/5, 1\/4, 0.2 in ascending order.\nAnswer: -2, -2\/5, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 0.4 (c) -2 (d) 5\/2 (e) 0.061 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 73 in increasing order.\nAnswer: -8, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-35)\/(-5) + 252 + -16. Suppose 3*z + 231 - a = 0. Find j such that -z*j**2 + 28\/9*j - 4\/9*j**4 + 20\/9*j**3 - 8\/9 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -12083, 4, -2\/11, 3, 2\/347, 3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 53630 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 13611?\nAnswer: 13605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*p = 5*p + 20020. Calculate the remainder when p is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -75\/14 + 27\/7. Let k = -143.8 + -164. Let z = -308 - k. What is the biggest value in z, -2, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2147 - 2147.03. Let g = 607\/4 - 153. What is the nearest to -3 in -3, g, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 7, 1, 0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 + 51895*d = 0.\nAnswer: -10379, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54486*d + 108875*d - 54520*d.\nAnswer: -131*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157440670 + 104936670. What is l rounded to the nearest 1000000?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.8, -2\/19, 0.4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5844*m = 5844*m + 3*o, m = -4*o - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 6*i**2 + 8*i + 6. Calculate w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 14238 = -49*z + 35*z. What is the remainder when z is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0.0225065\nAnswer: -4.9774935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -175 - 196 + 4*u**2 - 15*u - 3*u**2 + 409. Give g(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0147 + -0.0047. Sort -4, -1\/35, 0.4, -2, n in descending order.\nAnswer: 0.4, n, -1\/35, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z - 24*z = 48. Let t(n) = n**3 + 6*n**2 + 4*n - 3. Let y be t(-5). Let k(p) = p. Let l be k(y). Solve l*j - z = 2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 3.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z = 28*z - 0*z + 198 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:20 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 - -7bb?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24280869451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*t**3 + 4615*t**2 + 132359*t wrt t?\nAnswer: 72*t + 9230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008167055 rounded to five decimal places?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/((-77)\/28) - 2. Let p(r) = -9*r**2 - 2*r**3 + r**3 + 8*r**2 - 3 + 6*r**s. Give p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9.02 and -7?\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*a**2*d + 13*a**2 - 2*d**2 wrt d.\nAnswer: 120*a**2 - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 24*m. Suppose -54 = -2*r - 0*r. Let l = r + -22. Let t(i) = -8 - 2*i + l + 3. Calculate u(t(h)).\nAnswer: -8*h**2 + 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35091289136 less than -0.3?\nAnswer: -35091289136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -1. Let j = 4\/79 + 122\/711. Which is the nearest to r? (a) j (b) 3\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q**2 + 5*q - 108. Let c = 123 + -87. What is the lowest common multiple of c and r(8)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 26313615*h.\nAnswer: -26313615*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12173 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3 = 5*a - 102, -29 = -3*a - 5*n. Suppose 2*m - 8 + 2 = 0. Suppose -m*d = -0*d - 6. What is the highest common divisor of a and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = -10. Let y be 2\/h + -1*125\/(-455). Let g = -1 - -2. Are g and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7275, -14561, -21845, -29127?\n\"Answer: b**2 - 7289*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1914.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 0 = r - b*r. Solve -10 = 2*c - r*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(245)*-3 + 2 - sqrt(245)) - ((1*sqrt(245) - sqrt(245))*-3 + 1 + (sqrt(245) + 0 + sqrt(245))**2).\nAnswer: -984 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -64, -60, -56, -52, -48, -44?\n\"Answer: 4*w - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -576 times -1125?\nAnswer: 648000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255, 236, 173, 42, -181, -520, -999?\nAnswer: -1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 14*l**2 + 0 + 26*l**2 + l - 3 + 99*l**2 as y + k*l**2 + n*l and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1144\/326431?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1488*y + 16594 wrt y?\nAnswer: 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.5, -3, -2, -141?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 10 - 4*r**2 + 4*r**2 + r**3.\nAnswer: r**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375947 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 15*c - 4*d = 654, 30*c + 142 = 26*c - 2*d for c.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) - sqrt(350)\/sqrt(7)).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-261)\/(-2784)*8\/(-6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -14. Is (-84)\/(-8) + b\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/((-70)\/(-7)))\/(2\/(-6)). Suppose c + 0*c + 5*k = -27, -4*k - 20 = 0. Put -18, h, c in descending order.\nAnswer: h, c, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose 10 - 2 = 2*r. Suppose 6 + 10 = r*w. Solve 3*q + 3 = -4*h + u, 0 = -h - w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cabb0 - -3c?\nAnswer: cabec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -120. Suppose -10*i + 190 = -15*i. Let b be (-14)\/(-7)*3\/i. Which is smaller: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -13*x + 12. Let n(b) be the first derivative of 2*b**3\/3 + 163. Give g(n(y)).\nAnswer: -26*y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 10*p - 13. Let j be i(-10). Let n = j + 16. What is the smallest value in -3, -0.4, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -49. Solve 5*n + 20 = -0*n - h, h = -2*n - q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 14, o: 4}. Give prob of picking 2 o.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 36 = t - 11, 5*t - 3*u = -10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 45*j**2 + 54*j - 40. Let s(w) = 44*w**2 + 36*w - 41. Determine 2*p(c) - 3*s(c).\nAnswer: -42*c**2 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 3*k - 10)*(-10*k - 3*k + 2*k)*(1 + 7 - 3).\nAnswer: -165*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - 3*z - z)*(-3*z + 11*z - 7*z) + 0*z**2 + 10*z**2 - 2*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6d (base 15) to base 4.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*m**6*x**2 - 67*m**3*x**2 + 5*m**2*x**2 - 2*m**2*x + 3*m*x**2 wrt m.\nAnswer: -720*m**3*x**2 - 402*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**4 + 86577*c**3 + 829408671*c**2 + 2604365684115*c - 319006667475366 = 0.\nAnswer: -9659, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 4*x + 1. Determine m(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j + 2. Let u(m) = m**2 - m - 1. Let f(x) = -4*x**2 + 2*x + 2. Let g(h) = f(h) + 3*u(h). Calculate 2*g(l) + w(l).\nAnswer: -l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -20*x**5\/3 + 54*x**4 - 362*x**3\/3 + 86*x**2 + 22*x\/3 - 20 = 0.\nAnswer: -2\/5, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -51. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 4052*x - 20329. Determine k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 3*y**2 + 2*y. Let m be d(-3). Let o(a) = 5*a**3 - 7*a**2 - 5*a + 6. Let w(g) = 4*g**3 - 6*g**2 - 4*g + 5. What is m*w(q) + 5*o(q)?\nAnswer: q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 14*k**2 + 42*k - 1. Let j be g(13). Round j to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19961.5 to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 5*o**2 - 2*o - 6. Let q be j(-5). Suppose -q*c = c - 20. Suppose 4*f = c*k - 0*k - 108, 3*k - f - 77 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-5 - (-26 - (-12 - (-12 + 5)))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -71 + 131. Calculate the greatest common factor of 90 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*z**5 + 2*z**5 + 0*z**5 + (2*z**2 - z**2 - 3*z**2)*(0*z**3 + 2*z**3 - 3*z**3) - 10*z**5 + 10*z**5 - 57*z**5.\nAnswer: -62*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 8*f - 3. Let s be r(-7). Let t be 3\/1 - 8\/(-8). Suppose 6*u - 4*u - t = 0. Solve -3*y - 20 = -s*q - y, -u*y = -3*q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/3)\/(7\/(-21)). Let v be 0\/(2 + w - 3). Factor -1\/5*b + v + 3\/5*b**2.\nAnswer: b*(3*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2369?\nAnswer: 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8508.923 kilograms in milligrams?\nAnswer: 8508923000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -11\/4. Which is the closest to i? (a) -5 (b) 12 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/18 + (493788\/6)\/(-9 - -21)?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116290642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23779, 23788, 23797?\n\"Answer: 9*b + 23770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31*i*l*o + 451*i*l + 14319*l*o - l with respect to i.\nAnswer: -31*l*o + 451*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**8)**(-40\/7) assuming l is positive.\nAnswer: l**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109 greater than 2110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-483) - (-26)\/(-1092). Does u = -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2 - 3 + 0. Let d(q) = -229*q**2 + 16*q + 15. Let v be d(-1). Let b = 232 + v. Let k(i) = 3*i - 4. Determine b*o(g) - k(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12)*(-36)\/4. Suppose 2*m + r*m - 4*k = -12, 0 = -m - 2*k + 6. Suppose h - 55 = -t + 2*t, -2*h - 5*t + 96 = m. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.32878575 + 18.21992325. Let f = 18.55 - b. What is f rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8274 divided by 8274\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 43975549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -35*x - 132. Is r(-6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49912817 and 3769458?\nAnswer: 46143359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 914229 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3405*y**5 - 9898821*y**2 + 9898720*y**2 - 4057*y**5 + 5 wrt y?\nAnswer: -447720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000273731 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x - 6*x = 13*x + 250. Let m(f) = -3*f + 1. Let p(t) = -9*t + 1. Let o(u) = 5*u - 1. Let y(i) = -5*o(i) - 2*p(i). Give x*m(k) + 2*y(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8, -20, -40, -68?\n\"Answer: -4*h**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4812027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -53437356*p + 300510. Let w(z) = 13336*z - 75. Calculate 5*n(i) + 20034*w(i).\nAnswer: -13356*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-96)\/40)\/((-4)\/(-30)). Let o = 22 - j. Let v = 50 - o. What is the lowest common multiple of v and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l - 18. Suppose -10*x = -14*x - 12. Let r be c(x). Let q be (2 + 45\/(-6))*-18. Calculate the highest common divisor of r and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let i(r) = -16*r - 1. What is i(s(b))?\nAnswer: -32*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 - -11222022?\nAnswer: 11221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1\/9, 1, -12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 + 3) - (32 - (40 + -3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*a**2 - 3065*a + 3065*a + 13 in the form r + f*a**2 + j*a and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 133036421?\nAnswer: 133036421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 191936 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 9*a**2 + 13*a - 2. Calculate t(-9).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 - 64. Let l = 34.1 + -6.1. Let x = l - 28.3. Which is the fourth biggest value? (a) u (b) -2 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 - 6003\/(-621)*2\/(-3). Let y(n) be the second derivative of -19*n + 0 + 1\/18*n**4 + 0*n**2 - m*n**3. Factor y(c).\nAnswer: 2*c*(c - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.0009 + -5. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjbvbjvbvvjbvbvbv. What is prob of picking 1 b, 1 v, and 2 j?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + g + 5 = 0, -4*o + 13 = o + g. Suppose y - o = -0*y. Suppose -2*u - 8 = 0, 7 + 45 = 4*b - y*u. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Suppose 12*j - 15 - 9 = 0. Let z(o) = -60*o**2 + 48*o**j - 61*o**2. Determine l(z(b)).\nAnswer: 73*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3200443*m**3 + 2*m**2 + 3464176*m wrt m.\nAnswer: 19202658*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6277, 1232, -7177, -18950, -34087?\nAnswer: -52588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8))\/(2\/(-176)*-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 9 = -14*k. Let v(h) be the third derivative of -h**5\/60 + 13*h**4\/24 + h**2. Let t be v(k). Solve j + 6*b - 24 = 2*b, -4*b + t = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - 3. Let l be ((-3)\/(-2))\/(k\/(-16)). Find the third derivative of -6*x**2 + l*x**2 + 2*x**2 - 9*x**6 wrt x.\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.07 (b) -0.5 (c) -601 (d) 10\/917 (e) 0.1 (f) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1327 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -712, -29.\nAnswer: -712, -29, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*p = -4*u + 12, 0 = -3*u + 2*p + 32. Let x(f) = -9*f - 26. Let i be x(u). Is ((-120)\/(-14))\/((-21)\/i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7*c**2 + 8*c + 13. Let g(k) = -9*k**2 - 9*k - 14. Let l(w) = 5*d(w) + 4*g(w). Determine l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 917597676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -5. Let i = 5 + -1. Find the third derivative of 110*r - 110*r + 5*r**f + 2*r**i wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*l + 1, 0 = 11*l - 12*l + y - 3. Let m(d) be the first derivative of -15\/2*d**l + 9 - 10*d. What is the derivative of m(s) wrt s?\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -62. Suppose 4*r - 72 + 28 = 2*w, -a = 5*w + 2*r. Let h be ((-1200)\/(-1))\/(w\/9600). What is h rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000007 to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 32\/3 - 26\/3*j.\nAnswer: 2*(j + 1)*(3*j - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - k - k)*(1 - 1 + k**2) + 2*k**3 - 2*k**3 + 2*k**3 + (-5*k + k + 2*k)*(-2*k**2 - 2*k + 2*k) + (-2 + 2 - 2*k)*(6*k**2 + 0*k**2 - k**2).\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 397121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 59183104 (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, o: 2, d: 1}. Give prob of picking 1 d and 1 x.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - o - 788, -2*a - 4*o - 152 - 156 = 0. Let g = a + 223. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from wcbwbbbbwmwwibwcb?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 332746113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*d**6 - 40*d**5 - 2933*d**2.\nAnswer: 1560*d**3 - 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*m + 1751 - 5479 = -1726 + 4437 for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/8)\/(21735\/2070).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/17, -5, -1\/2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 10:39 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 41*i + 626. Give u(-5).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*v - 73, -4*h + 2*v + 93 = 76 - 63 for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 159\/5*c + 1\/5*c**2 + 314\/5 = 0. What is c?\nAnswer: -157, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 56 = 5*r, p + 6 + 21 = -3*r. Let l(w) = -w**2 - 12*w - 5. Is 15 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44548 - 9548 = g. What is g rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20156 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 - -1352. Suppose -b + 8 = 2*g, 6 + 4 = 2*g + 2*b. Suppose g*r - d = 4*d + 1050, 4*d = -3*r + q. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 9:03 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252*k + 569853 + 1373485 + 3633422 = 0. What is k rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.6559*-25\nAnswer: -616.3975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 46877753 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-2\/3))\/p)**11*p**4\/((p*p**(1\/12))\/p*p))**(11\/4))**(5\/16) assuming p is positive.\nAnswer: p**(2255\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-3))\/((-96)\/32).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15487*l**2 - 11*l + 4. Let q be r(12). What is q rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771875 is divided by 517?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17349, 17348, 17347?\n\"Answer: -z + 17350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 172086916 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73710 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*p - 33*p + w + 2602, -6*w = -5*p + 3243. Calculate the remainder when p is divided by 229.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 0)*(-2055*n**2 + 8780*n**2 - 8474*n**2 - 7867*n**2).\nAnswer: -9616*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10\/11, 3, -0.3, 5\/3, -26, 1, 0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 2368?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -17 (b) 35 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.245 - 2.245. Which is the fourth smallest value? (a) v (b) 8 (c) -2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(42)\/sqrt(54)*-5.\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-24)*(-5736)\/25095.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 9*v - 14. Let k be b(7). Let u(d) = -12*d - 3. Let y be u(-2). Let t = k - y. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5139 is divided by 410.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-11 - -3)*-2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*d**2*g**3 - 26*d**2*g + 654*d**2*l - 2*d*g**3*l wrt l?\nAnswer: 654*d**2 - 2*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t + 0*t + 4 - 2*t. Let y(x) = x + 3. Let h(p) = -3*s(p) + 4*y(p). Let o(u) = 19*u - 37*u + 21*u. What is h(o(r))?\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*d + 1110 = 2*d, 4*d + 1104 = 2*v. Let t be (-2*3\/(-6))\/((-3)\/v). What is the units digit of (-10)\/2 - (30 + t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2949056989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-798)\/(-336)*-8*(-2)\/(-2)*7\/7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123526 at least as big as 2123554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1. Suppose 4*n + 10 = 2*i - 8, 2*n = 5*i - 13. Let u(d) = 2*d - 830 - 830 + 1656. Determine n*r(g) - u(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -750457905\nAnswer: -750457901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29\/7*n**2 - 225\/7 - 195\/7*n - 1\/7*n**3.\nAnswer: -(n - 15)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.726 * 0.15\nAnswer: 0.2589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1974335 or 1974369?\nAnswer: 1974369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*k - 6630 + 6694 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 1)*(-c + 2*c - 3*c)*(737899 + c**2 + 48*c**3 - 737899) to z*c + r*c**4 + g*c**2 + p + m*c**3 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 9 - (-7 - -28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -916654 (base 11) in base 4?\nAnswer: -11213211213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abbbaabaabaaa. Give prob of picking 4 b.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.9 - 165.9. Put 5, n, 2\/3 in descending order.\nAnswer: 5, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-2)*8 + -1. Let o be 13*((-3)\/(-4))\/(1\/(-4)). Let b = o + z. Calculate the remainder when 39 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, b: 1}. Give prob of picking 2 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182534.\nAnswer: 2, 3, 197089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -8.12 (c) 2 (d) 0 (e) 32056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.21 - 0.21. Let n = 24.966194 + 0.031206. Let k = y - n. Round k to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-36)\/78)\/(2640\/156 - 17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 4*n + 2. Let z be u(2). Let a(i) be the third derivative of i**6\/120 - i**5\/12 - i**4\/24 - 4*i**3\/3 - i**2. Is a(z) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**2 - 518*i - 14366. Calculate z(-138).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47082936 divided by -6?\nAnswer: -7847156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2. Suppose 0 = -g*b + 5*b - 10. Suppose b*x + 24 - 92 = -4*c, 4*c = x + 80. What are the prime factors of c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4510\/(-13202) - (-4)\/(-46). Let k = -1.9 + 2. What is the second biggest value in d, k, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3590 + 968 = -181*r - 993 + 1207 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:38 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z - 17*z - 7*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Suppose -5*h = -4*x - 20, 0*h + 2*x = -2*h - 10. Suppose d + 4*t + 14 = 0, h = d - 5*t - 18 - 13. Let m(i) = 3*i. Determine d*j(n) + 3*m(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 13*n**2 + 14*n - 21. Let g be v(12). Let z(m) = -2*m**2 - 3*m - 3. Let s(h) = -2*h**2 - 4*h - 4. Determine g*s(f) - 4*z(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v + 0 - 1 - v**2 - 3*v**3 + 2 + 0*v**3 as r + h*v**3 + t*v + f*v**2 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0, 2\/5, 2\/187, 0.71 in decreasing order.\nAnswer: 0.71, 2\/5, 2\/187, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 170850250 and 250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 62. Let t = z - -59. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -111.03 - -111.1. Which is the fourth smallest value? (a) f (b) 3\/7 (c) -0.03 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -646?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 12:16 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q + 200 = 16*q - 24*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:16 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = -68 + 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(15)\/sqrt(3) - 3*sqrt(125))**2.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8016 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/1327, -0.5, 0 in descending order.\nAnswer: 0, -2\/1327, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/279648 and -11\/29549472.\nAnswer: 88648416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 245. Let k be u(48). Let i(s) = -3*s**2 - 2*s. Let l(j) = -6*j**2 - 4*j. Determine k*i(a) + 3*l(a).\nAnswer: -3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 4*z - 7*z)*(-1 - 1 - 5)*(1 + 2 - 2).\nAnswer: 77*z - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3121 * 0.4.\nAnswer: -1248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:06 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*g + 29 = 5*y, -y + 10 = 2*g. What are the prime factors of ((-2)\/y)\/(5\/(-40))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.069 - -46.931. Let r = k + -25. Let d = -22.0000044 + r. What is d rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96, 111, 140, 189, 264, 371, 516?\n\"Answer: p**3 + p**2 + 5*p + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25857 and 5.63.\nAnswer: -145574.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {w: 2, v: 1, s: 1, o: 6, u: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 17*w - 18. Let c(o) = -2*o**2 + 16*o + 19. Let l(q) = 5*c(q) + 6*f(q). Let x be l(12). Solve 0 = 9*y - x*y - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 54*l + 504. Is 33 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -9*x**2 + 254. Let k(t) = -10*t**2 + 255. Calculate -6*k(a) + 7*o(a).\nAnswer: -3*a**2 + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 194443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:51 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*y + 375*y - 752*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-24)*6*(-4)\/3*(-36)\/5436?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q + 13 + 0*q**2 - 17 - q**2. What is j(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 2*d**2)*(-64*d - 37 + 37 + (2*d - d + d)*(2 + 3 - 4) - 2*d - 2*d + 2*d + (2 - 1 - 2)*(-2*d - 3*d - 5*d)).\nAnswer: -108*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 16*u + 10*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1377) + (-4 + 3*sqrt(1377))**2)*-4.\nAnswer: -49640 + 828*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, h: 2, v: 1, u: 10}. What is prob of sequence uvup?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*a - 79*a = 80. Is -95\/6 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16461585*n**4 + 774374*n + 9.\nAnswer: 197539020*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6732 divided by 132\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k - 9*k - 452*k**3 - 14*k.\nAnswer: -452*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2451523nm in centimeters?\nAnswer: 0.00000002451523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7254.756 seconds to microseconds.\nAnswer: 7254756000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 8:50 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 + 7440*s - 4*s**2 + 35*s**2 + 4*s**2.\nAnswer: 35*s**2 + 7440*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 45 * 6924145\nAnswer: 311586525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -53.2.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*p + 58 = 0, -6*p + 5*p - 195 = -3*x. Calculate the remainder when x is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -548274, -1096380, -1644486, -2192592, -2740698, -3288804?\n\"Answer: -548106*i - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -48*x**2 + 4 + 110*x**2 - x**3 - 6*x - 53*x**2. Calculate i(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 588 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/2*22\/(-33). What is the third derivative of 20*m**6 + 30*m**2 + 4 + 752*m**3 - 72*m**6 - 752*m**c - 34*m**6 wrt m?\nAnswer: -10320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 15 + 10822345*s - 13.\nAnswer: 10822345*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 252 - 166 = 0. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -12. Suppose -o = -4*l + 1. What is the second derivative of -2*u**l - 4*u + 5*u - 2*u wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - h**3 - h**3 + 395*h**2 + 50*h**3 - 395*h**2 + (h - h - 3*h)*(-6*h**2 + 9*h**2 + 7*h**2).\nAnswer: 21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 22*r**2. Let l(s) be the third derivative of -409*s**5\/60 - 5821*s**2. Determine z(l(j)).\nAnswer: 3680182*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91535.66l in millilitres?\nAnswer: 91535660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - 183. Let d(o) = -3. Give -2*d(a) - u(a).\nAnswer: 5*a + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 501*n + 4. Let p(u) = -245*u - 1. Give 5*p(h) + 2*r(h).\nAnswer: -223*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bff when three letters picked without replacement from {b: 3, f: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-8\/5)\/(i*i**7))\/(((i\/(i**5*i))\/i)\/((i\/(i**(1\/13)\/i))\/i)) assuming i is positive.\nAnswer: i**(-174\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4528484*g - 3380182 wrt g?\nAnswer: 4528484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -6*q + 35. Suppose 4*x = 4*b - 40, -2*b - q = 5*x + 8. Suppose 3*i + 192 = h, b*h - 133 = 3*i + 863. List the prime factors of h.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202121233 (base 4) in base 10?\nAnswer: 140911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 0*c**2 + c**2 + 2*c**2 - 31 + 31 - 2*c**2 + 4*c**2 + 0*c**2 + (-c + 2*c + 0*c)*(2 - c - 2) to w + h*c**2 + k*c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*j - 2584 - 22 + 414 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -4 (c) -13 (d) 1 (e) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 137, 408, 869, 1520, 2361, 3392, 4613?\n\"Answer: 95*n**2 - 14*n + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oroif. Give prob of sequence fo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 37*b + 81731. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1586)\/14 - 6\/(-21). Let p = -60 + 314. Let v = p + z. Does 47 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -52564160972 - 158?\nAnswer: -52564161130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**2 - 6*v - 6. Let b(t) be the third derivative of -t**5\/60 + t**4\/24 + t**3\/6 - 2*t**2. Give 6*b(i) + q(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011001 (base 2) in base 5?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -604 - -846?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.13393.\nAnswer: 0.040179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121.27 times 132\nAnswer: 16007.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -45.9998. Round s to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2569 + -0.0431. Let v = -59\/12 + 17\/4. Which is the biggest value? (a) -1 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 8:13 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5908408127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b + b)*(-2*b**3 + b**3 + 3*b**3) + (3 + 1 - 5)*(1 + 1 - 1)*(661 + 2*b**4 - 7*b**3 + 5*b**3 - 673).\nAnswer: 6*b**4 + 2*b**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-6)*(-1 + -2). Let y be (2*1)\/(d + -6). Calculate the lowest common multiple of (-42)\/(-24)*y*4 and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 5, -2, 8\/17, -67, 4, 1\/3 in ascending order.\nAnswer: -67, -2, 2\/7, 1\/3, 8\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-2)\/9. Suppose 2*d - 4*x + 3*x + 1 = m, 4*x = -d + 13. Let c = 11 + 0. Calculate the smallest common multiple of d and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*n - 10 = 2*i + 156*n, -2*i + n = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0219 times 16.98?\nAnswer: 0.371862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*j**2 + 4501 + 16468328*j - 11*j**3 - j**5 - 16468326*j + 35*j**2 wrt j?\nAnswer: -20*j**3 - 66*j + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58671 - 40609. Is 22 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 925.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -241, -337, -433, -529, -625?\n\"Answer: -96*s - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2*h + 2. Let r be o(0). What is the highest common divisor of 3 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 6. Let v(m) be the second derivative of 5*m**3\/6 - 11*m**2\/2 - 5*m. Determine 7*f(k) - 4*v(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_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 q(r) be the first derivative of -3*r**4 + 2 + 2*r**5 + 6 + 8*r + 3*r**4. Find the first derivative of q(x) wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2151?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 12:24 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 11*o - 7. Let j(l) = 23*l - 15. Let r = -16 - -32. Suppose 3*z + b = -19, 5*z + r = 3*b - 11. Let y(x) = z*j(x) + 13*a(x). Differentiate y(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81149 divided by 1\nAnswer: -81149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 51*q**2 + 106*q**2 - q - 2*q**4 - 56*q**2 in the form l*q**3 + y*q + i + f*q**4 + n*q**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -950, -2600, -4950, -7994, -11726?\nAnswer: -16140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 6*o**2 - o - 21. Let k = -390 + 385. Calculate the lowest common multiple of 97 and d(k).\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -258.477 + 258.977. Let s(w) = -4*w**2 + 2*w - 1. Suppose 0*z - 2*z = -2. Let l be s(z). Which is the smallest value? (a) y (b) -1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -880*k**2 - 644*k - 72. Let t(u) = -2*u**2 - u - 4. Let l(q) = 36*t(q) - 2*v(q). Find the second derivative of l(f) wrt f.\nAnswer: 3376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 990621419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(2 + 5277\/(-2640)). Round l to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 376388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23923, -47842, -71761, -95680, -119599, -143518?\nAnswer: -167437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z**2 - 12*z + 11. Let c(p) = -p**3 - 5*p**2 - 2*p - 4. Let g be c(-5). Is h(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/(-6))\/(-7)*42)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121\/1576 - -3515\/4728. Let c = 40 - 38.3. Sort c, a, 3 in descending order.\nAnswer: 3, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -491*y + 251*y + 242*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073667 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 23*x**3 + 3*x**2 + 4. Does 27 divide v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -68*(315\/20)\/(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*o**2*q**2 - 2*o**2*q - 7*o*q**2 + o + 4457*q**2 wrt o?\nAnswer: 86*o*q**2 - 4*o*q - 7*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.5 (b) -3\/2 (c) 0.03 (d) 29\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 - 2*n + 1. Let m(i) = -i**2 - 1. Let f be (-9)\/6*(1 - 1\/(-3)). Let l(z) = f*m(z) + d(z). Give l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - 1381?\nAnswer: -1376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85\/2 + -247\/6. Let h = 143\/3 - 47. Find a such that -h*a**4 + v*a + 0*a**3 + 2*a**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 134*q - 8328. Calculate j(96).\nAnswer: 4536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8*d - 4*d = 15, -20 = -4*m + d. Let f(z) be the third derivative of 0 + 1\/20*z**6 + 1\/30*z**m + 1\/6*z**3 + 1\/12*z**4 + 0*z - 2*z**2. Give f(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) -1\/5 (c) 7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 167, 443, 829, 1325?\n\"Answer: 55*j**2 + j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -231, -805, -1943, -3837, -6679, -10661?\nAnswer: -15975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.492545 plus 718106?\nAnswer: 718106.492545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 755 (base 16) in base 12?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153735347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -36.3 (b) -39.29 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1579, -3907, -6241, -8581, -10927, -13279, -15637?\n\"Answer: -3*y**2 - 2319*y + 743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-173)\/(6899932\/104))\/(2\/(-26))*6\/4\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u - 76 = -54*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15528 is divided by 59?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22388968 divided by 1599212?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, y: 8, b: 3, q: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.081 - 3016558.\nAnswer: -3016557.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1153*q**2 + 4*q + 6.\nAnswer: -2306*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1369 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134223 divided by -147.\nAnswer: -44741\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -12. Let f(v) = 4*v**2 - v + 1. Let s be f(p). Suppose 385 = 5*t + 5*b, -2*t - 6*b = -b - 157. What is the highest common divisor of s and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -32 + -90 - -33.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26359 * 0.4.\nAnswer: 10543.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 79, -0.2525, -0.4 in descending order.\nAnswer: 79, -0.2525, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Let d(a) = -4 - 4*a**2 + 0 + 4. Calculate d(w(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(17) + sqrt(17) + (sqrt(833) + 0)**2 + sqrt(170)\/sqrt(160) + sqrt(17)).\nAnswer: 13*sqrt(17)\/4 + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**3 + 7 - 4*u**3 - 2*u**2 + 10*u**3 + 143 - 2*u as m*u + g*u**3 + b + a*u**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (105 - 53)*(0 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1341698*s**3 + 14308071 wrt s?\nAnswer: 4025094*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -310.58? (a) 0.36 (b) -1\/7 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -1, 3 + 8 = 2*h - m. Suppose -h*i + 22 = -4*i. Suppose 2*z - 5*p = 1, 4*z - 3*z + 3*p = 6. What is the remainder when i is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r - 67 = -f, 2603*r - 2605*r = -3*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than 360855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 p when three letters picked without replacement from {m: 2, s: 3, p: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 2, w: 1, r: 7, v: 2, k: 1}. What is prob of picking 3 r?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 802383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 21. Give f(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 14. Let f(g) = -3*g - 7. Let m(y) = -6*c(y) - 11*f(y). Let b(j) = 6*j - 13. What is -6*b(p) + 11*m(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -15559.\nAnswer: 1\/15559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1366\/(-58055) + (-4435727)\/(-85)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + 0.4. Let j = c - -0.16. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:02 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/160176 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12483 + -2314. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*m**2 + 1 + 2*m**3)*(4*m - 7*m - 4*m) as f*m + p*m**2 + r*m**3 + u*m**4 + y and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 + -152. Let c = -37.824 - x. Round c to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7076 and 9028.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000883 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m + 51*m + 34*m - 150*m.\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19453 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10726, 21397, 32068, 42739, 53410, 64081?\n\"Answer: 10671*t + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + o**3 - 2*o)*(1 - 1 - 2 + 1 - 4 - 5 + (1 + 2 + 1)*(-2 + 5 + 1)) in the form n + m*o**2 + j*o + t*o**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 - 70. Let n(t) = t**2 + 7*t + 4. Let k be n(-6). Let y be (3\/(-3))\/(k\/(-4)). Does w = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/8*(-698)\/34202?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7768 - 7747. Let v be 2\/2*226\/(-2). Let j = -62 - v. What is the remainder when j is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001527366 to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 6. Let m(i) = i**2 - 6*i - 2. Let n be m(v). Let s be (2 + 0)\/(n\/(-3)). Solve 0 = s*j - 4*b + 7, -j = -3*b - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 8. Suppose -2*n - v*r + 2 = -0, -2*r + 5 = 5*n. Let s = -342 + 340. Which is the second smallest value? (a) s (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) - 0) + (-30)\/12. Is j greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 9*t - 1461 - 3*t**2 + 1461.\nAnswer: -5*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 153061298879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in decades?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/5 - 4*t**4\/5 + 12*t**3\/5 + 8*t**2 + 38*t\/5 + 12\/5 = 0. Calculate t.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15028.74 milligrams?\nAnswer: 15028740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -2*d**4 - d**3\/3 - d**2\/2 + 20. Does 8 divide w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19250533, 38501053, 57751575, 77002099, 96252625?\nAnswer: 115503153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*s**2 + 13568*s**6 - 5*s - 8718*s**6 - 8217*s**6 + 15*s**2 wrt s?\nAnswer: -404040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.8654 minutes to seconds.\nAnswer: 2211.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2050\/131 - -10381\/655. Find x such that -b*x**5 + 0*x + 0*x**3 + 0*x**2 - 4\/5*x**4 + 0 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 7*h - 6. Let v be z(-6). Suppose -4*r - 97 = -o - v*r, -5*r = -4*o + 432. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 719100254 to the nearest integer?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2215 divided by 6856?\nAnswer: -2215\/6856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1866*o - 292 wrt o?\nAnswer: -1866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9391, -18779, -28167?\nAnswer: -37555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/620784 and 47\/27.\nAnswer: 620784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let m = 3.06 - 0.06. Let o = 4\/4391 + 4379\/13173. What is the nearest to -0.1 in o, m, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) 5 (c) 2\/21 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*o = -4*o + 4, -3*y + 6 = 3*o. Let z(r) = 0 + y + 1. Let d(u) = u - 7. Let x(h) = 2*d(h) + 14*z(h). Let n(t) = t**2. Calculate x(n(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1076 = 248. What are the prime factors of o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:44 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 43*f**2 - 16*f + 43. What is the tens digit of q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15422 and 8.\nAnswer: 61688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -406 - -226. Let n = 309 + h. Suppose 6*d - n - 219 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2593, -115, -2823, -5531, -8239, -10947?\nAnswer: -13655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 338 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -6)\/((-6)\/4*1). Sort -6, y, 4, -1 in decreasing order.\nAnswer: 4, -1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47575506?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -166*c**2*x**2 - 2*c**2 + c*x**2 - 86*x**2 wrt c.\nAnswer: -332*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2534?\nAnswer: 2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123810207262 - 0.067.\nAnswer: -123810207262.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10546*c - 88977 - 25665 - 4864 = 112506 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*p - 5*p + 85 = 0, -8 = -4*p. Suppose -2*f = -j - 65. What is the units digit of (-716)\/(-10) + (-24)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 198\/(-12)*(-123)\/(-198)*-4.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c + 5. What are the prime factors of n(-3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1165*c**4 + 4955*c**2 wrt c?\nAnswer: 27960*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76.21 + 77. Let b = w + -0.09. Let h = 1 - b. Sort 4, -2\/11, h in decreasing order.\nAnswer: 4, h, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 - -226. Solve 2*p + i*p + 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6a (base 14) to base 9.\nAnswer: 6758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7699*p*r - 280*p - 59 with respect to r.\nAnswer: 7699*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25852 and 191406?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 2) + -1 + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 43 and -4.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h. Let g(p) = 4*p**3 + 3*p + 3. Let u = -173 + 174. Let f(n) = u*g(n) + 6*q(n). Find the second derivative of f(v) wrt v.\nAnswer: 60*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1157328 divided by 3572\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 12. Suppose 4*q + 12 = 0, -4*f - 1 - 2 = q. Suppose 20 - 118 = -5*v - 4*o, -4*v + o + 91 = f. Calculate the remainder when v is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let r(f) = -35*f + 7. What is t(r(h))?\nAnswer: -2450*h**2 + 980*h - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000034738 rounded to 7 decimal places?\nAnswer: 0.0000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/2 - (-2 - 0). Let r(o) = 61*o**3 + o**2 - 5*o - 6. Let d(n) = 201*n**3 + 3*n**2 - 17*n - 20. Let l(x) = 3*d(x) - 10*r(x). Determine l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8b - 1373bc?\nAnswer: -13747a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -320 - -578. Suppose 5*f + 5 = 0, 4*v + 3*f + 528 = -2471. Let a = j - v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4214117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggeiemg. Give prob of picking 1 i and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/64 - 23\/448. Suppose -211*d = 20*d. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14920 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*l - 5. Let h(r) = r + 13. Let s be h(-10). Let y(n) = -75 - 2*n**3 - 4*n**2 + 3*n**3 + 69 - s*n. Give y(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 7.59. Let b = 0.152 + 0.038. Let d = b - u. Put d, -4, -2 in decreasing order.\nAnswer: d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/3 - (-10 - 29\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(400) - sqrt(25))\/sqrt(5).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9002.\nAnswer: 2, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14724 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/42 - (-14 - (-2904)\/168). Let p(y) = 3*y - 1. Let l be p(-3). Sort l, -5, o, 2 in ascending order.\nAnswer: l, -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 487.1, 8, 5\/4 in decreasing order.\nAnswer: 487.1, 8, 5\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m = -24*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 9:12 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:26 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let g = 22.49 - 0.49. Let f = -23 + g. Which is the closest to h? (a) 0.5 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10532 + -220535?\nAnswer: -210003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.21. Let t = -12.09 + u. Which is the smallest value? (a) 1\/8 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**6\/30 + 9*g**5\/4 - 49*g**4\/6 - 30*g**3 + 188*g**2 + 1207*g. Suppose h(u) = 0. What is u?\nAnswer: -47, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, -0.57, -1\/8, 1.3 in increasing order.\nAnswer: -1, -0.57, -0.5, -1\/8, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 + 18 = 0. Let g be (2*3 + -1)*(15 - v). What is the third derivative of -n**2 + 5*n**5 - 10*n**g + 6*n**2 - 4*n**5 wrt n?\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/4*0 + 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/4*1*(-24)\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 623\/(-56)*2 - (-555)\/444\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -370971, -371043, -371115, -371187, -371259, -371331?\nAnswer: -371403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 - 3*k - 9. Let r be p(-6). Let i be ((-2)\/(-12))\/(6\/r). Let -i*g**2 + 1\/4*g + 0 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5081? (a) 5 (b) -0.5 (c) -16 (d) -3\/2 (e) 17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 674290 divided by 2.\nAnswer: 337145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9967.534 millimeters?\nAnswer: 9967534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3615696 (base 10) to base 13.\nAnswer: 997986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a hour in seconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/3234?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 87 in 4, 1, 4\/179, 0.3, -3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293511062 a multiple of 591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3795 or 3768?\nAnswer: 3795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.6. Let w = -3.1 + 3.5. What is the second biggest value in w, 1\/8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(-12)*u**(1\/2)\/u)\/(u**(-3)*u**3))**(-2\/55) assuming u is positive.\nAnswer: u**(-29\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -1 + (19 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4728*l - 4551*l + 1947 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133279.6 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let v(a) = 1219*a**2 - 184. Let f(t) = 20*t**2 - 3. Let l(b) = 184*f(b) - 3*v(b). What is l(i(x))?\nAnswer: 23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 377247 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 224?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*m = 17*m + g + 25924, 4030 = 5*m + 5*g. Suppose 5*k + 179 = 469. Calculate the remainder when m is divided by k.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/43 and 4805\/8600 - (-1)\/((-8)\/3).\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 21*l + 8. Let k be c(18). Suppose 69*b = k*b + 2100. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/19 (b) 3\/2 (c) 1\/2 (d) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 16 = 2*s, 5*s - 5*t = -0*s + 45. Suppose 4*b = 2*z + 22, -4*b = -5*z + 4*z - 17. Calculate the remainder when s is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -17627\nAnswer: 17626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 - 17*j + 11 + 11.\nAnswer: -17*j + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -208 (b) 3291.7 (c) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 4:08 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mijmddxxjtjidmmt. What is prob of picking 1 i, 1 m, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-324)\/(-5) - 7\/(-35).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/6585612 and 119\/69747618.\nAnswer: 1534447596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 - 37*c**3 - 2*c**4 + 4*c - 34*c**3 - 2*c**5 + 8*c**2 + 74*c**3.\nAnswer: -c*(c - 2)*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 5*x**2 + 1. Let m be d(5). Let h be (-5)\/(-6)*6*m. Solve 2*c - 9 = -h*k + c, 3*k - 4*c - 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 2*l**2 - 7*l + 2. Let z(m) = -m**2 + m + 1. Let d(t) = -a(t) + 2*z(t). What is the second derivative of d(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 25, 588, 2\/11, -39?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 8716361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 d when three letters picked without replacement from {b: 2, d: 10, m: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - y**2 + 3*y - 1. What is w(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*c - 4*c. Let p = 0 - c. Let y = 12\/7 - 55\/28. Sort 1, y, p.\nAnswer: p, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -115*w**3 - 328 wrt w?\nAnswer: -345*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s**2 + s + 22. Calculate a(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30903.5 plus 98?\nAnswer: 31001.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*n - 422*n + 37*n**2 + 215*n.\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(19) + 1)**2 - sqrt(684)*1 - (4*sqrt(95)\/(sqrt(15)\/sqrt(3) + sqrt(5)))**2.\nAnswer: -10*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 140, 226, 312?\n\"Answer: 86*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 5*w - 8 = 0, -752*t - 4*w = -410*t - 346*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -401742 (base 9) to base 5\nAnswer: -30100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32460 - 2?\nAnswer: -32462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 f when three letters picked without replacement from drsfi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31612, 62459, 93328, 124231, 155180, 186187, 217264?\nAnswer: 248423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u + 12. Suppose -b + 10 = c, 47*b + 2*c = 44*b + 28. Calculate the remainder when u\/(-3) + 0 + 27 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*k + 7, -19 + 3 = -4*k + 4*x. Solve k*b = 3*j + 9, 4*b - j - 15 = 4*j for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:57 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 - -102. Let c be (6\/(-6))\/(2\/(-20)). Let x(w) = w**2 - 11*w + 17. Calculate the least common multiple of y and x(c).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/911, -1\/3, -13, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11096 and 526452?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 111966 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 74 = -3*u + 5*d, 3*u + 5*d - 110 = 0. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1554.01 + 1541. Let b = k + 13. Let l = -0.01186 - b. Round l to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (5\/(-15))\/((-2)\/24) + 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 102*m**2 - 7*m + 2. Let v(p) = 209*p**2 - 13*p + 3. What is -10*u(b) + 6*v(b)?\nAnswer: 234*b**2 - 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*d - 5*d + 651 = 0. Suppose -5*j = -d*f + 20*f - 2755, -j + 3*f = -565. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.081885\nAnswer: -0.032754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 + 7 = -5*c, 0 = 3*c. Let r = -551 + 553. Suppose -6 + 0 = n*x - 3*g, 0 = 4*x + r*g - 20. Let v(w) = -w**3 + 3*w**2 + 3*w - 2. What is v(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 6*p**4 - 10*p**2 - 48. Let n(f) be the second derivative of f**5\/20 - f**3\/6 - f. Calculate -i(v) + 20*n(v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*k - 6, 0 = -5*v + k + k - 8. What is the least common multiple of 6 and v\/(-4)*(0 - -8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3516 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(200) + 2)*-5*-1)**2.\nAnswer: 1000*sqrt(2) + 5100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3331231130 - -101210?\nAnswer: -3331123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 174*h - 173*h + 19627, -h = 3*s - 19613. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 25 = -z. Suppose 2*v + 3*v - 2*c = z, -2*v - 9 = 3*c. Let s(x) = x**3 - x**2 + x - 1. What is the units digit of s(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 15.8, -0.5, -1?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -768 + 1426. Suppose -g + 0*g - k + 130 = 0, 3*k = -5*g + z. Let h = -79 + g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 849 - 811. What is the highest common divisor of 1026 and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/8638 and 43\/51828?\nAnswer: 51828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16524 and 4000752.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 - 415. What is the nearest to 2\/3 in -3, -2, 0.021, q?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.218km in millimeters?\nAnswer: 49218000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 5. Let g be u(-1). Solve 20 = g*b + 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/17, 1\/4, 21, 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, -48, -344, -948, -1962, -3488, -5628?\nAnswer: -8484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/8 and 5\/405522?\nAnswer: 1622088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1.115, -3 in descending order.\nAnswer: 3, -1.115, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 16. Let i = 14566\/21 - 693. Let t = i - 1\/3. Sort x, t, -2\/7 in descending order.\nAnswer: x, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a + 51*a**2 - 8*a - 53*a**2 + (0*a + 0*a + a)*(-a - 2*a + a) in the form c*a + u*a**2 + v and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**5\/20 - 17*p**4\/16 + 17*p**3\/4 + 157*p**2\/8 + 22*p + 5860. Factor z(q).\nAnswer: (q - 11)*(q - 8)*(q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**4\/24 + 13*l**3\/2 + 40*l**2 - 6. What is c(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 40 = -c, -1029*c = -3*o - 1032*c - 45 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -5*n, 0 = 5*t - 4*n - 9 - 4. Which is the nearest to -0.1? (a) t (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ydcsyhyshcdyy.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73450 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/121)\/(2\/(2\/(-2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165 - -170. Let d be -2 + -2*(-2)\/(-2). Put s, -6, d in decreasing order.\nAnswer: s, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, i: 1, f: 3, w: 5}. What is prob of picking 1 i and 1 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 46 = -5*h - 4*m, m = -3*h - 34. Let c = 7 + h. Find the common denominator of -19\/4 and (c - (-177)\/10) + -3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - 0. Let a be (1 + 0)\/(k\/12). Find the common denominator of a\/(-15) + (-562)\/(-20) and 89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 3\/7, 0.2, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -0*q. Solve 0 = -3*r - 4*u + 10, q*r + r - 2*u = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 8664*o - 311872\/9.\nAnswer: -2*(o + 4)*(o + 38984)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -19) + -11 - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 10. Let u = 15 + -22. What are the prime factors of r(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 626715 and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1331120 (base 8) in base 2?\nAnswer: -1011011001001010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, 2*k - 5*b - 16 = -2*k. Solve 2 = -5*j - 2*t - 3, -k*t + 11 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0653 to three decimal places.\nAnswer: 0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3658 divided by 1930\nAnswer: 1829\/965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 1 + 1 - (sqrt(1053)*-1 + 2)) + (sqrt(13) - sqrt(208))*-6 + sqrt(637) + 2)**2.\nAnswer: 172*sqrt(13) + 24041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - 20. Let z = p - -70. What is the remainder when 2\/9 - (-183)\/z is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2424 divided by 101.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2978214006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3003 - 10?\nAnswer: 2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (1423*g - 1479*g - 65 + 22)*(4*g - 5*g + 2*g)*(-3 - 2*g + 0*g + 1) as u*g**2 + s + h*g**3 + r*g and give u.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.29 plus -110?\nAnswer: -57.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -98, 5, 3 in increasing order.\nAnswer: -98, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x)*(2 - 3 + 2)*(-2744*x + 662 - 662).\nAnswer: 5488*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2868 is divided by 115?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 274 - 267 - 164)*(j + 4*j + j).\nAnswer: -3318*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/2 + n**3\/3 - n**2\/2 - 8*n. Calculate f(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 d when four letters picked without replacement from drrrrrrrrrd?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505344?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 9*i**2 + 5435*i - 5435*i + 6*i**2 + 3*i**3.\nAnswer: 3*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**7\/1120 - o**6\/160 + o**4\/8 - 13*o**3\/3 - o**2\/2 - 75*o. Let k(p) be the second derivative of i(p). Factor k(f).\nAnswer: 3*(f - 2)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 225 + -228. Is t at most -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*m = 61*m + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -63 + -10?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + -2. Let o = -227 + 166. Let g = b - o. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + -56. What is the remainder when w is divided by 29\/3 - 6\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-21)*(4 - 1). Which is the nearest to u? (a) -2 (b) 2\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2268 and 36.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*c = -1006 - 2549 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*o - 176. Suppose -3*j - 2*b = -2 + 20, 5*j = -4*b - o. Suppose 0 = -5*x + 7*x + 2. Sort j, x, 5 in decreasing order.\nAnswer: 5, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 399\/114*2\/56.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 + -0.04005. Round u to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -461295315 to the nearest 100000.\nAnswer: -461300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1034 + -501. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 205*o - 522. Calculate b(2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 86470*n + 691440.\nAnswer: 5*(n - 17286)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + (sqrt(720) - (2*sqrt(720) - sqrt(720))))\/sqrt(2))\/(((-2*sqrt(42))\/sqrt(3))\/sqrt(7)) + -5.\nAnswer: -3*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 1:05 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232 (base 4) in base 16?\nAnswer: ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602318847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 131829, 263663, 395503, 527349, 659201?\n\"Answer: 3*f**2 + 131825*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 566421537 - 39.9.\nAnswer: 566421497.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5254556*i**2*k**2 - 2*i*k**2 - 169*i*k - i - 539*k**2 + 3*k wrt i?\nAnswer: 10509112*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89\/388 + -2\/97. Let x = 1\/4 - f. Do x and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709394159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, 1, 2\/9, -4\/9, 0.23?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 20*p**2 - 33*p - 76. Let v be x(22). Suppose -160*k - 1410 = -v*k. What are the prime factors of k?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 != -39544\/2847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/8*6\/(-15)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10400967 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/99 and (1113\/42)\/(66\/4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 16770248191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 + 134. Sort m, 2, -3, -7.\nAnswer: -7, -3, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1228 + 0?\nAnswer: -1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2) - (0 - (-15093)\/(-26))?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -253a (base 14) to base 13\nAnswer: -2c77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 18*w - 63. Put w, -3, 7 in decreasing order.\nAnswer: 7, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -14.7.\nAnswer: 2.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 6, s: 5, y: 6}. What is prob of sequence ry?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1712 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*q - 16 - 4 = 0, 5*u - 3*q = 25. Which is the closest to -10.5? (a) u (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -699 - 681 - 3907*f + 1382 to the form q*f + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c**5 - 50*c**4 + 1473*c**3 + 4708*c**2 + 116*c - 6240 = 0. Calculate c.\nAnswer: -120\/7, -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11891 + -6652. What are the prime factors of m?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let c(f) = -4*f - 5. Let o = 324 + -323. What is o*c(i) - 6*y(i)?\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxllxlllxxxxll. What is prob of sequence lx?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2546 + 2545.99999994. What is a rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3105 - -3291. What is the greatest common factor of s and 682?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.5, 5, 3, 86267?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - 0.3. Let m = -7 + t. Let r = m + 8.4. Put 3, r, -1\/10 in decreasing order.\nAnswer: 3, r, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-1) + 2 + -3. Let l = 8 + n. Let v = 30 - l. What is the greatest common factor of v and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u - 2. Let k be h(-1). Let p be 132\/(-77)*(-14)\/3. Put k, p, 1, -4 in descending order.\nAnswer: p, 1, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-34))\/(((-60)\/(-8))\/5)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2757 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4\/7 - 11708*f**3\/7 + 12*f**2\/7 + 35116*f\/7 - 23416\/7 = 0.\nAnswer: -2927, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1400997210 - 319591.\nAnswer: -1401316801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -68 + 302. Let x = y - 113. Suppose -5*q + x = -9. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501.311 less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -153290*p**2. Let a(j) = -2*j**2. Determine a(d(l)).\nAnswer: -46995648200*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 19*k**3 + 10 + 9 - k**2 + 0*k**2.\nAnswer: -19*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 * 791211.\nAnswer: -33230862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 7*u. Let h(c) be the second derivative of c**4\/12 - c**3\/6 - 149*c. What is -14*h(t) + 2*q(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 17 = -a, -t + 163*a = 165*a - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/5 - 9*i**2\/5 - 3*i\/5 + 9\/5.\nAnswer: 3*(i - 3)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 644*n**3 - 3457*n**2\/2 + 1708*n - 1. What is the derivative of i(c) wrt c?\nAnswer: 3864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:26 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 - 612*a**3 + 3*a**2 - 1 + 3.\nAnswer: -612*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/27 + 2008048\/(-1116). Let h = -12286963\/6820 - j. Let g = h + -126\/55. What is the common denominator of g and 105\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 106, 220, 370, 550?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-3)\/(-9))\/((-6)\/(-4))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, f: 5, t: 1, h: 1, w: 5}. What is prob of sequence wzw?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 11 - o**2 - 3*o - 206*o**3 + o**2 + 210*o**3 + 9*o. Let q(y) = -3*y**3 - 5*y - 10. Calculate -5*g(j) - 6*q(j).\nAnswer: -2*j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2526*o - 2922*o + 16914 = 2262 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6178.465 centuries?\nAnswer: 617846.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 8*a**2 + a - 10. Let j be d(8). Is 14 a factor of j\/(-7) - 1164\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-12)*-12)\/(-2). Suppose -4*p = 2*x + 90, 5*p - 3*p + 5*x + 65 = 0. Let s = h - p. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.67 in -3\/97, 0.166, -5?\nAnswer: -3\/97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -524*u = -456*u - 180744. List the prime factors of u.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -5*o - 16. Suppose -u + 2*z = u + 6, -4*u = -2*z + o. Solve 0 = -2*d - u + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4383*i**2*r - 2*i**2 + 2*i*r - 48*i + 3 with respect to r.\nAnswer: -4383*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 35*v + 3. Let c be g(-13). What is the third derivative of 14*w + c*w**3 - 27 - 19 - 14*w + 2*w**2 + 0*w wrt w?\nAnswer: 720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 28*p + 829. Let k be u(-18). Let j = 2 + 0. Let m(s) = s + 1 + s - j. Determine m(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913026697?\nAnswer: 3, 7, 46238519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 - 47 + 537 = 63*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 198*i - 22. Let v(u) = 66*u - 8. Calculate -4*n(a) + 11*v(a).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + a3a222?\nAnswer: a3a220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18389513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**5\/3 + 260*i**4\/3 - 2968*i**3\/3 + 2440*i**2\/3 + 988*i - 900 = 0.\nAnswer: -75, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 8*o**4 - 1 + 2*o**4 + 3*o**3 + 0 + 6*o**2 + 8*o**4 to x*o**3 + t*o + z + p*o**4 + a*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4130 or -4129?\nAnswer: -4130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkukukhvbibb. Give prob of sequence kv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6467541 - 10250541. Round s to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**5\/60 + f**4\/6 + f**3 - 5*f**2. Suppose -4*x - 38 = 5*c - 2, 4*c + 20 = -x. Let r be y(x). Solve -21 + r = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*k + 175*k**2 - 5*k - 3.\nAnswer: 175*k**2 - 11*k - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2675.74 - -2698. Let n = -0.26 + r. Let a = 18 - n. What is the nearest to -2\/3 in 5, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 45*o**7\/14 - 233*o**6\/10 + 162*o**5\/5 - 3*o**4 - 8*o**3 - 169*o. What is w in k(w) = 0?\nAnswer: -2\/9, 0, 2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*p - 4536*p + 659939 = 207599 for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882 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: Suppose -191*d = -114*d - 84623. Is d not equal to 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)*1*3. Suppose -19 = -4*p - s, -2*p + w*s + 11 = -2. Sort 0.1, p, -5.\nAnswer: -5, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**3*u**3 - 11*j**3 + 11*j**2*u + 2*u**3 wrt j.\nAnswer: 18*u**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4631251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93*(16\/15 + 42\/(-35)) and -1*2 - (-104)\/90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -2, -1\/9 in increasing order.\nAnswer: -2, -1\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 8:31 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 154050 >= 154050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by -2 + (18 - 2) - 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 112551, 115470, 118379, 121272, 124143?\n\"Answer: -m**3 + m**2 + 2923*m + 109628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 10:32 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s + 9*s + 1584 = 0. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 12 + 60 - 3 - 8*b + 3. Let j be y(9). Which is smaller: j or -7\/11?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2265 - -51?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 61, 46\/2339 in decreasing order.\nAnswer: 61, 3, 46\/2339, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**(-25)\/(((f*((f*f**(-2)*f)\/f)\/f*f*f*f)\/f)\/f**(-2\/13)))**(2\/65) assuming f is positive.\nAnswer: f**(59\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*j**3 - 4402*j - 197*j**3 + 4402*j.\nAnswer: -388*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14863077 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 9006 in increasing order.\nAnswer: -5, 4, 9006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (24 + 44 - 52)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = v - 147, 0 = -5*d - 4*v + 181. Let s = -37 + d. Suppose 5*a + s*a - 541 = -4*z, -437 = -4*a + z. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*g - 23 = -1, 0 = 3*x + 3*g - 18. Which is greater: x or -122?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1586889*x**2*y**4 + x**2*y**2 - 8*x**2*y + 4*x*y**5 + 1352*x*y**2 + 33*y wrt y.\nAnswer: -38085336*x**2*y + 240*x*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -22, -25, -28, -31, -34, -37?\n\"Answer: -3*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 9:38 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 - 642*t + 4*t**2 - 35*t - 234*t to the form j*t**2 + a*t + b and give a.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13295, 26593, 39891, 53189, 66487, 79785?\nAnswer: 93083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + b + 1523, 3*l + 0*l - 1507 = 5*b. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t - 4. Let n(w) be the second derivative of -w**3\/6 - w**2\/2 + 3*w. What is 6*n(z) - 2*p(z)?\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 16 + 17. Let z = y + 63. Suppose -j = -4*j + z. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**2*k**2 - 915*h**2*k + h**2 - 4356*k**2 wrt h.\nAnswer: 2*h*k**2 - 1830*h*k + 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053457856.\nAnswer: 2, 11, 937, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k. Suppose 2*z = -l + 5, l = -z + 5*l + 25. Let a(m) = 2*m - 6. Let d be a(4). Let y(s) = z - d*s - 5. Give h(y(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c + 2. Give n(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/15 - (-13532)\/(-3980).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. What is the second derivative of -4*k + c*k**4 - k + 2*k + k**4 wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 6*i**2 - 12*i + 5. Let z = -4 - -12. What are the prime factors of l(z)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33812, 67724, 101738, 135854?\nAnswer: 170072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -101\/3 (b) 0 (c) 0.3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-10 + 5)) + 0 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 + 2*j**4 - 32 + 32 - j**4 + 6*j in the form h + o*j + c*j**2 + w*j**4 + q*j**3 and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1846317\/37 or -49901?\nAnswer: -1846317\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13672, 27341, 41018, 54703, 68396?\n\"Answer: 4*x**2 + 13657*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 886189387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -2, 0, -4 in decreasing order.\nAnswer: 45, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - k**2 - 5*k**2)*(-3*k**3 + 2*k**3 + 2*k**3).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:02 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 * -47\nAnswer: -16.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 826 + -697. What is the biggest value in -0.3, t, 2\/5, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/6)\/((-6)\/(-9)). Suppose 4*h - o - 79 = 0, -2*h + 4*o - 3*o + 39 = 0. Let i be -6*(h\/(-30))\/((-8)\/g). Solve 2*m - 10 = -i*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.41? (a) -2 (b) 1\/7 (c) 0.042 (d) 22 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -16. Let u = 26 + v. Let h = 22 + -12. Calculate the remainder when u is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nssssssssssssss. Give prob of picking 3 s.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 + 0.12. Let s = -10 - -13. Which is the second smallest value? (a) s (b) 2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7352101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2 + 63558572*j + 127117140 = 0. Calculate j.\nAnswer: -63558570, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*n - 1545 = -1769 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/(-45)*6*(-15)\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(847)*-5 + sqrt(847))**2 + sqrt(847) - sqrt(847) - (sqrt(847) - ((sqrt(847)*-1 - sqrt(847)) + -3 - sqrt(847))**2).\nAnswer: 187*sqrt(7) + 110119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-106 - 85 - 66)*(-10*m - 42 + 42) as s + d*m and give d.\nAnswer: 2570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1748088*13\nAnswer: -22725144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j - 95*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y**3 + 13*y**3 + 13*y**3 + (13 - 13 + 4*y)*(-3*y**2 + 4*y**2 - 2*y**2) + (y**2 - 3 + 3)*(-2*y + 2*y + y) as o*y**3 + n*y + h + p*y**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -3 - (9 - (9 + -2)) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63\/(-42) + 29\/18. Which is the nearest to -16? (a) 0.3 (b) 0 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(22\/9)*j**(23\/2)*j*(j**13)**(1\/28) assuming j is positive.\nAnswer: j**(3883\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 13 = 3. Suppose 0*w - r*w + 32 = 0. Sort 2, -2, w in descending order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -8. Suppose -y*w + 0*w = -145. Suppose -3*s + w = -2*s. What are the prime factors of s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15282a6 (base 11) to base 3\nAnswer: 11220221222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*u**3 - 5*u**2 + 30*u.\nAnswer: -5*u*(u + 2)*(2*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/23, 5, -2\/27?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:50 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40196225 or 2\/5?\nAnswer: 40196225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((5*2*sqrt(175) - 6*(-2*sqrt(175) - sqrt(175)))*-6 + -4)*4)**2.\nAnswer: 134400*sqrt(7) + 79027600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14738059*j**5 + 5073586*j**2 wrt j.\nAnswer: 884283540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21669127 minus 0.2?\nAnswer: 21669126.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*y - 5*j, -4*y + 4*j = 9 - 5. Let h be 5\/2*(y + (-10)\/25). Let b(g) = g - 2. Determine b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*f - 1, 2*f = -4*z + 22. Suppose -5*i = z*k - 145, 0 = -5*i - 4*k + 9*k + 115. Let a(u) = -56 + 56 + i*u. Let y(d) = 2*d**2. Give y(a(j)).\nAnswer: 1352*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*(sqrt(208) - (0 + sqrt(208))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17409 is divided by 4349.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -762*n**5\/5 - n**3 - 28*n + 114. Find the third derivative of x(a) wrt a.\nAnswer: -18288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -369 - -649. Suppose 5*p + y = -3*f, f + 290 = -0*p - 5*p. Let x = 63 + p. Solve 9*r - 5*j - 25 = 4*r, x*r + 3*j = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 3 (b) -11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4579583382.\nAnswer: 2, 3, 11, 23129209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 801681 by 1.\nAnswer: 801681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-10 - 26 - -40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 3*p - 8. Suppose 360 - 320 = -10*z. Let m be -1*4\/8*z + -8. Determine k(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 - 3954*m**2 + 11861*m + 6. What is u(3)?\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 2752\nAnswer: 1\/2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8991 and -53?\nAnswer: 47.6523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let h be (2 + 1 + -1)*-1. Let v(m) = m - 2. Let t(k) = h*q(k) - v(k). Let r(n) = -6*n**2. What is t(r(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3422, 3420, 3416, 3410, 3402, 3392?\n\"Answer: -k**2 + k + 3422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 26*p = 64*p - 493. What is the third smallest value in p, 26, -0.2?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**6\/x)))\/x*x**(-2))\/((((x\/(x\/(x\/x**(1\/4))))\/x)\/x)\/x**(-1\/9)) assuming x is positive.\nAnswer: x**(149\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -108003, -432189, -972503, -1728945, -2701515, -3890213, -5295039?\n\"Answer: -108064*w**2 + 6*w + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 321*k**2 + 314*k. Let v(u) = 2*u**3 + 322*u**2 + 316*u. Let z(l) = -3*v(l) + 2*x(l). Determine j, given that z(j) = 0.\nAnswer: -80, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*a = 66, 2*b - b - 42 = -2*a. Suppose -5348*g = -5338*g - 1690. What is the remainder when g is divided by b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352\/13*k + 15488\/13 + 2\/13*k**2 = 0. Calculate k.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*5\/15*(-6)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1094 (b) 1\/2 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 4*w + 116, 0 = -t - 2*w + 12. Let s = -24 + t. Let q(d) = -2*d + 7. Let x(y) = 2*y - 6. Determine s*q(j) - 5*x(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 136.294 times -0.126\nAnswer: -17.173044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 6*j - 40 = 0. Is ((-10532)\/(2 - -2))\/(2\/j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 16 - 4. Let j be 3\/m*-6 + -1. List the prime factors of (-6)\/j + 6 + 35.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*y + 490 = -87*y. Let z be (2\/6)\/((-1)\/(-21)). What is the highest common divisor of z and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 3*a)*(0 + 1 + 2)*(-4 - 2 + 4)*(-2 + 5 - 4).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 281037*j**3 + 2*j**2 + 2*j - 1296?\nAnswer: 1686222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809963 * -0.2.\nAnswer: -161992.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -31. Suppose 2*z - 49 = -3*x - 6, -3*z + 71 = 5*x. Suppose -1809 = -x*n - 14*n. What is the remainder when n is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from srrsrrrsrsrsssss.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-1\/4))\/k**7)**(-1\/23)*(((k\/(k**(-1\/4)\/k))\/k*k*k)\/k)**(-32)*(k**(-1\/2)*k)\/((k*k**(-4)*k)\/k) assuming k is positive.\nAnswer: k**(-273\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -3*f + 32 = -d*f. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 10*r**2 + 6*r. List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -7, -2, 5, 14, 25?\n\"Answer: l**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-12)\/24). Let l(x) = x + 1. Let c be l(v). Factor c + 1\/2*h - 3\/4*h**2.\nAnswer: -h*(3*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h - 14. Suppose -h*u + 16 = -4*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-26)\/t**(26\/3))**(-19) assuming t is positive.\nAnswer: t**(1976\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 greater than -101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - g - 1, -16 = -5*y + 2*g. Solve y*n = 4*n - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-12) + (-8)\/(-6). Suppose -8 = -p - 2*s + 15, -l*p + 2*s = -40. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*g - 1 = 0, 3*f - g + 11 = 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 + 48\/3. Let s(p) = -3*p**2 - 17*p - 3. Let v(r) = r**2 + 6*r + 1. Give h*v(b) + 6*s(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*d + 31 = 0, 65*d - 20 = 69*d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x - 3. Let i be r(-3). Suppose i = -3*q + 2*q + 4. Let n = -4 + 3. Put n, 2, q in descending order.\nAnswer: q, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 46*m**2 + 71*m - 14. Is k(6) a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*u**2 + 663*u**4 + 1 - 372*u + 372*u - 3 wrt u.\nAnswer: 15912*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32396 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -15*o**8\/112 - 13*o**4\/8 + 2*o**2. Find the second derivative of b(l) wrt l.\nAnswer: -900*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1900? (a) 1.2 (b) 0.4 (c) -0.09 (d) 5 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + -4 + sqrt(612)) - (-2 + sqrt(612))**2*4*5)*5.\nAnswer: -61480 + 2220*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**4\/6 + 100*g**3\/3 + 865*g**2\/2 + 4970*g\/3 - 6370\/3 = 0.\nAnswer: -14, -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(68)\/(-2*sqrt(64)) + -3 - (5*(sqrt(119)\/(sqrt(35)\/sqrt(5)) - sqrt(17)))**2*4).\nAnswer: -8 - sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, c: 7}. Give prob of sequence xd.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -66) + 42 - 28\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1552 is divided by 461?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(8\/7))**(-19) assuming p is positive.\nAnswer: p**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 6 (b) -29\/5 (c) 0.18 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(176) - sqrt(176))*-1)**2 + (sqrt(176) - (sqrt(176) + -1))**2*-1*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**2. Let c(v) = -7*v - 1. Let o(a) = -2*a - 1. Let g(h) = 2*c(h) - 2*o(h). What is j(g(t))?\nAnswer: 1100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 5 = 21*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/44 - -6\/11. Let p = -0.4 - 0. Let u = -0.4 - p. What is the nearest to u in -5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6, -8, -3, -13.\nAnswer: -13, -8, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 487228 by 487228.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 624*g - 4506 = 4188 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7255*k - 278. What are the prime factors of r(6)?\nAnswer: 2, 11, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (9 + -2 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1651795 divided by -8?\nAnswer: 1651795\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 191, 282, 371?\n\"Answer: -q**2 + 96*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 826477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118393 - 118393 + 48*o**3.\nAnswer: 48*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 5*b**2 - 7*b - 6. Let r be a(-4). Let l(c) = 15*c - 2*c**2 - 3 + c**2 - 9*c. What is l(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 divided by 62?\nAnswer: 391\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/23 + 32\/69. Solve f**2 - 1\/3*f - f**3 + 0 + x*f**4 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (276\/(-10))\/(3\/(-15)). Suppose u = -g + 466. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2106 = 229*v - 238*v. Let t be 2992\/55 + 4\/(-10). Calculate the highest common divisor of t and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + v - 197 + 224, -2*c + 2*v = 6 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1335.3 - 1375. Let y = 1.4 - 45.4. Let r = y - d. What is r rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 53*o**6 - 32*o**6 - 4*o**2 + 3*o**2 wrt o?\nAnswer: 2520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-154)*(-8)\/285*((-135)\/(-6))\/15\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.66 + 668.6\nAnswer: 664.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.138 + 0.538. What is the second biggest value in -5, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(3) - sqrt(3)) + -4)*4.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/48 - q**3\/12 + q**2\/8 + 4*q. Suppose z(h) = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 249*x**3 - 296*x + 3 + 315*x + 4 wrt x?\nAnswer: -1494*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.8082 or -373?\nAnswer: 3.8082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = 0, 0 = 5*t + 6*i - 9*i - 39. Suppose -u - 4*u + 3*f + 60 = 0, 4*u = 3*f + 51. Suppose -t*s - 276 = -u*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 120, 158, 174, 162, 116, 30?\n\"Answer: -z**3 - 2*z**2 + 67*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, 3, -5, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2*(3 - (-550)\/(-6))?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599710 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(64)*-5 - (sqrt(576) - 1*sqrt(576)))\/((2*sqrt(800) + sqrt(800))*2).\nAnswer: -sqrt(2)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**2 + 58*t - 40. Let c be m(-28). Solve c*n = 7*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 7*l - 9. Let w(u) be the third derivative of 1\/60*u**5 + 1\/6*u**4 - 5\/6*u**3 + 0*u + 0 + 15*u**2. Calculate -6*s(i) + 11*w(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1630508 by 4.\nAnswer: 407627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:25 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -102159075695 less than 5?\nAnswer: 102159075700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19373676, 38747354, 58121032, 77494710, 96868388?\nAnswer: 116242066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -28 + 6. Suppose k*x + 81 = 14*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 28*w = 31. Is 30 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/4570 and -21\/20.\nAnswer: 9140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t**2 + t + 31. Let v = -25 - -73. Suppose 4*h = -4*d + v, -8*d + 3*d - h = -76. Calculate the remainder when i(0) is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 37302*k**3 + 149244*k**2 + 149256*k.\nAnswer: -3*k*(k - 12438)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286403.\nAnswer: 13, 22031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {l: 2, u: 9, d: 3, o: 1, v: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181.87 - 12950.13. Let d = l - -13131.40055. Let b = 0.6 + d. What is b rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 4*q + 2. Give u(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4124 divided by -67.\nAnswer: 4124\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 301\/31 (b) -5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3221221 + 14?\nAnswer: -3221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose 0 = 8*v - 7*v - 2. Differentiate g*s**v + 6 - 5 - 2*s**2 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 145 = -4*j, -5*j + 6*x = x - 180. Calculate the highest common divisor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77564 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let b be (-96)\/(-270) + i\/(-18). What is the nearest to -1\/2 in b, 0, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2092649*t**2 + 17756999*t?\nAnswer: 4185298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -682, -1350, -2006, -2644, -3258, -3842, -4390, -4896?\nAnswer: -5354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -92, -1\/4, -1.4, -55.5?\nAnswer: -55.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 6:56 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -0.013818\nAnswer: 0.0110544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:48 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -28. Let m = v - -11. What is the remainder when 3 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2499)\/780 + (-2)\/(-13) and 85\/248?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 3)*(12*m - 12*m - 4*m**3).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2) + -2 + 2 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b. Suppose 3*m - 29 - 34 = b. Let y(i) = -2*i**2 + m*i - 21*i. Let a(h) = 3*h**2. What is y(a(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 9:01 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764 is divided by 96.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6555591114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)*h)**(-1\/6)\/((h\/(h**(-2\/3)\/h))\/h)**(-12) assuming h is positive.\nAnswer: h**(178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 46\/(-3) + (-4)\/(-12). List the prime factors of d\/(-10) - (-11)\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j**2. Let f(c) = -6*c**2. Suppose 0 = -n - k + 132, 5*n - 664 = 8*k - 9*k. Suppose n = -2*b + 139. What is b*u(r) - 4*f(r)?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892731, -892766, -892799, -892830, -892859, -892886, -892911?\nAnswer: -892934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i. Let d(k) = 6*k + 7. Let f(h) = -d(h) + 3*p(h). Let v be f(-5). Factor -64*g**2 - 56*g**3 - 4*g**2 - 22*g**2 - v + 98*g**4 + 56*g.\nAnswer: 2*(g - 1)*(g + 1)*(7*g - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.828 * -108\nAnswer: 629.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 228 + 20. What is the greatest common divisor of r and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 15*c - 27 = 3*h, h + 2*c - 1 = 0. Let w = -1465 - -1463. What is the nearest to 0.27 in w, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 73*h - 658. Determine o(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5\/6, 2\/125, 5, -0.8 in decreasing order.\nAnswer: 5, 2\/125, -0.4, -0.8, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 824221679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.62282 millennia to months.\nAnswer: 859473.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 - (-1 - (-1 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 74 = -6*y + 5*y, -5*y = 2*r - 50. Solve 5*c + 5*s = r, -3 - 2 = 5*c - 3*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47971\/(-409934)*24\/66.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*x**6 - 32*x**4 + 3*x**3 + 3214*x**2 - 2*x + 1 wrt x.\nAnswer: -2280*x**3 - 768*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltuiuiuliituiiliiuu. Give prob of picking 1 i and 3 u.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -2036?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - 15. Let c = 151 + g. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -784*u + 605*u = -6981 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**3 - 1315*j**2 - 92720*j - 1828860.\nAnswer: -5*(j + 34)*(j + 66)*(j + 163)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:00 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.79145 + -3.794. What is k rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 37 (c) -3\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*s**2 - 61*k**3*x - 19*k**2*s + 12*k*s**2*x + 2*s**2*x - 2*s**2 wrt x.\nAnswer: -61*k**3 + 12*k*s**2 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 5*t + j, 3*j = -2*t + 177437 - 177484 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/2 + 8)\/((-27)\/(-396))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110000001011011 (base 2) to base 7\nAnswer: -131626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2*i + 4)*((-1 + 20 + 16)*(3 + 2 - 6) + 4 - 5 - 2) + (5 + 0 - 3)*(2*i - 2*i + 5*i) + 1 - i - 1 to v + d*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:39 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Suppose k - 4 = -a - 0*a, 0 = -4*a + 4*k. Let p(x) = 13*x**2 - x - 1. Let z(i) = i**2 - i - 1. Let n(c) = a*p(c) - 2*z(c). Give n(m(g)).\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 7*s - 11. Suppose -4*t + 4*k - 40 = 0, 0 = -3*t - k - 5 - 5. Let w be j(t). Let z = -67 - w. Solve -z*b + 11 = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1130\/(-4068))\/(10\/(-6)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100077 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-6)\/24)\/((1056\/(-22))\/8)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 836604.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 12*u**2 - 4*u. Is k(2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 19608\nAnswer: 1\/19608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 11*h - 3. Let t = -16 - -25. Let f be s(t). What is the remainder when 1\/5 - f\/(-10) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**9\/15120 + l**5\/60 - l**4\/6 + 3*l. Let k(o) be the third derivative of z(o). Differentiate k(y) wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035 is divided by 300?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-15))\/(291\/(-1261)*(-13)\/(-10))\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 2)*(0*q - 2*q**3 + 0*q + (2*q - 2*q - 2*q)*(0 - q**2 + 0) - 2*q**3 + 7*q**3 - 3*q**3)*(-12*q**2 + 16*q - 16*q).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8742647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1802*w - 1305 = 1793*w. Let j = 8 + -3. Calculate the highest common divisor of w and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-70))\/((9\/(-2))\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from srshhoco.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + k = 2*k - 7, 16 = -2*l - 4*k. Let t = 1 + -2. Let g = 2 - t. Put g, -3, l in decreasing order.\nAnswer: g, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/1)\/(5088\/1696).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 10*x**2 + 11*x**2 + 2 + 0.\nAnswer: 25*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7517921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 104970 = -9806. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -18, -34, -68, -126, -214, -338, -504?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239 - 3*y + 4*y + 269.\nAnswer: y + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*z**2 + 212 - 629 + 433 in the form p*z**2 + h*z + l and give p.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 0.26 (c) -0.4 (d) 0.2 (e) 2\/17 (f) 0.4924\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30218*t - 60862*t + 30640*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 3*l - 13, -5*l - 7 = 2*s. Suppose 2*o = -s*b - 0*b - 4, 2*o + 5*b + 6 = 0. Solve w - o*f - 2 = 2, -3*w - 2*f - 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -78*x - 11. Let l be i(-2). Suppose 43 = -h + l. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**4 + 780036*n**2 + 5124*n wrt n.\nAnswer: 12*n**2 + 1560072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, f: 1, m: 2, i: 2}. What is prob of picking 1 i and 1 f?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -44*t. Let k be q(3). Let r = k - -613. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -269*f**3 + 11*f**2 + 15*f + 86. Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93\/(-31)*(-2)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 202.\nAnswer: -4\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**6\/1020 + g**5\/17 - 14*g**4\/51 - g**2 - 155*g. Suppose k(j) = 0. Calculate j.\nAnswer: 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -452, -4635, -15982, -38075, -74496, -128827, -204650, -305547?\n\"Answer: -597*l**3 - 4*l + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) 0 (c) -8\/3 (d) -0.3 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*d = 4, 4*u + 2*d - 4 = d. Suppose -u*m = a - 13, a - 11 = -0*a - m. Solve -4*t + a*t + 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 13*y - 9*y**2 - 108183 + 54090 + 54091 - 2*y**3 + 4*y**3 - y**3 + (y**2 + 3*y**2 - 2*y**2)*(-y - 2*y + 4*y) + 0*y + 3*y**3 + 0*y.\nAnswer: 8*y**3 - 9*y**2 - 13*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 47429 - 47433 + 94862 - 8*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.1 and 3212462134862.\nAnswer: 3212462134866.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76936 + -37880. What is the ten thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 780138 divided by -6?\nAnswer: -130023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-8)\/(-6)) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 816 divided by -16\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1071)\/(-816)*4\/(-30)*(-3 - 1)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - m - 1. Let s(q) = -q**3 + 3*q - 14. Give 3*h(g) + s(g).\nAnswer: 2*g**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1368)\/(-30) - (-2)\/5. Let q = h - 27. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 284751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1910 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7391436103 to the power of 1\/2, to the nearest integer?\nAnswer: 85973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 112*r - 108*r = -15, -3*z - 30 = -r for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -34 + 20 - (-2 + 23)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31165236 (base 7) to base 5.\nAnswer: -1132340311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 3 (c) -2\/13 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(243) + -1 + -1 + -2 + 5.\nAnswer: -4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - 2. Let q = h + 15. What is the nearest to 1\/3 in q, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -12*z - 3. Let o be k(0). Let t(l) = l**2 - 7. Let c be t(o). Suppose -21 = 4*m - 4*w - 521, -c*w = 4*m - 470. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 86 (b) -5 (c) 3\/7 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -27*s + 29. Let q be b(1). Find the third derivative of -12 + 2*k**q - 53*k**4 + 39*k**4 + 0*k**2 wrt k.\nAnswer: -336*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1397309.6 times -4\nAnswer: -5589238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2461 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.021 + 0.221. What is the nearest to -1\/3 in 2\/9, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22246542 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - (1 + -5) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/14568 and 55\/9247038?\nAnswer: 36988152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**6\/54 + o**5\/15 + o**4\/18 - 2*o**3\/27 - o**2\/6 - o\/9 - 1. Factor r(p).\nAnswer: (p - 1)*(p + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/2)\/(-132))\/((-2)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75762 is divided by 325?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 + 15*q**3 + 84 - 189.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 8*p**2 + 10*p + 13. Suppose -i - 4*x = 18, 1 = -3*x - 5. Is u(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 11 = -2*y + y, 1 = -2*k + y. Let b be ((-1)\/(-3))\/(k\/12). Find the second derivative of -u**4 - 3*u**4 + 4*u**4 - b*u**5 + 3*u wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -5*b**5\/6 - 5*b**4 + 325*b**3\/6 - 75*b**2 - 160*b\/3 + 80 = 0.\nAnswer: -12, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2313?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*g + 9*u + 33, 0 = u + 2. Let t(v) = -57*v - 332. Calculate the lowest common multiple of t(-6) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3237 - 3295. Let j = 1084536.00029 + -1084594. Let a = t - j. What is a rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, y: 3, x: 1, t: 8, m: 3}. Give prob of sequence yyy.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 76433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 39 - 2*t**3 - 6*t**4 + 40 - 2*t**2 + 2*t**2 - 2*t**2 to the form u + z*t**2 + k*t**3 + j*t**4 + s*t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/13 + 108*n**2\/13 - 1080*n\/13 - 10800\/13 = 0. What is n?\nAnswer: -6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a meter in centimeters?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12081 - -12346. Solve -3*b + a = 256 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -16*m + 38285. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1897, -2016, -2135, -2254, -2373?\n\"Answer: -119*c - 1778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 450500 = -s, -1802000 = -4*s + 6*m - 7*m. Round s to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, x: 3}. What is prob of picking 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + 1) - 528\/(-288)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28268213 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 26 + 2. Let w = -12 - c. Does 9 divide ((-4)\/6)\/(w\/387)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 28\/9, -1\/9, -5, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 3475*y**3 + 1729*y**3 - 4 + 6 + 2*y**2 + 1710*y**3 + 3*y in the form w*y + x*y**2 + v*y**3 + f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2168 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14 less than or equal to -25351177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3)\/((-2)\/6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 116, 2\/15, -10, -1\/6 in ascending order.\nAnswer: -10, -1\/6, 2\/15, 1, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*j + 143*j = -8, 2*u = -3*j - 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**3 - 2*n**2 - n - 1. Let s = -380 + 382. Suppose s*i = -2*j + 14, -4*j - 2*i + 28 = -6*i. Calculate the remainder when k(2) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*p + 44, -p = -3*p + 4*t + 26. Let c(q) = 9*q**2 + 60*q + 104. Let b be c(-8). Suppose p*w = 2*w + b. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -105, -706, -2243, -5148, -9853, -16790, -26391?\n\"Answer: -72*l**3 - 36*l**2 + 11*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 34001*z + 766. Is q(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2578 - -2578.3. Put 0, t, 2\/13, 1 in descending order.\nAnswer: 1, t, 2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u\/(u**(2\/3)\/u*u)))*u)**(1\/80)*(u**(-3)*u)**(1\/4))**(1\/63) assuming u is positive.\nAnswer: u**(-113\/15120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133 (base 5) to base 3.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -105? (a) -134 (b) -3\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7300323 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**3 + 9*b**2 - 7*b + 10. Let v be k(-9). Suppose -575 = -27*n + v. List the prime factors of n.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbbbpbbbbbb.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 187 divided by 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 5. Let b be u(-4). Let l = 6 - b. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*m**4 + 5275072*m**3 + 2*m + 75161672 wrt m?\nAnswer: 16*m**3 + 15825216*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95a + 2?\nAnswer: -958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48379173 a multiple of 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 91736 + -42928. Let f = q + -48808.036053. Let d = f - -0.036. What is d rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(4*o**3 + 3*o**3 - 4*o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165696*d**3*q**2 + 66*d**3*q + 4*d**2*q - 199*q wrt q?\nAnswer: 331392*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -1. Solve 4*x - c*j + 6*j = 16, 2*j = x + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000106364 rounded to six dps?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f*n**4*v + 2*f*n*v**2 + f*n*v + 59*f*n - 467*n**4*v**2 - 10*v wrt n?\nAnswer: -48*f*n**2*v - 5604*n**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 135*r**6 + r**4 - 8*r**3 - 1783*r**2 + 1.\nAnswer: 16200*r**3 + 24*r - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - 2990*n**3 + 21216*n**2.\nAnswer: -120*n**2 - 17940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + f + 2*f)*(-f**2 - 5*f**2 + 3*f**2) + 1 - 1 + 6*f**3 in the form y*f**3 + v + z*f + t*f**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-1083 - -11) - (1 - -2). Calculate the greatest common factor of 679 and w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00014542497 rounded to 7 dps?\nAnswer: 0.0001454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2271 + 0.006. What is y rounded to 2 dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:38 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) -0.5 (b) -13\/300 (c) 15 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from fntfgtttn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 f when four letters picked without replacement from fhllffvhfhffeelllovv.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 880*g**3 + 2*g - 4*g - 950*g**3 wrt g?\nAnswer: -420*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f + 10*f - 6, 454 = 9*d - 2*f. Let b = 12 - -8. Calculate the remainder when d is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 0.38, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 + 2*c**2 - 3*c**2)*(-1 + 1 - 2*c)*(-4 + 0 + 3).\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14506783 (base 10) to base 12.\nAnswer: 4a37167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 425421539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 261?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 1 - 5*n + 2*n. What is the units digit of h(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 835, -1, -8 in descending order.\nAnswer: 835, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13700 divided by 2740.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509*s = -5551 + 1988 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 44*q - 558 = 0 for q.\nAnswer: -31, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2\/53 (c) 15728 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.855 - -5.855. Put -0.17, b, 0, -1\/9 in ascending order.\nAnswer: -0.17, -1\/9, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**9\/d))\/(d\/((d*d**(-5\/6))\/d)) assuming d is positive.\nAnswer: d**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/c*c**(3\/22))\/(c\/c**(-1\/7)*c\/((c\/c**36)\/c*c)) assuming c is positive.\nAnswer: c**(-6469\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39.38 + 49.375. Let w = -10 + o. What is w rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1633867706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3.188215km?\nAnswer: 3188215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 66 = 13*c. Suppose -c*b - 32 + 21 = 0. Let t(s) = -3*s + 4. Let h(u) = -4*u + 3. Let n(d) = 5*h(d) - 4*t(d). What is n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7b8c (base 14) in base 12?\nAnswer: -176900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4c68 - 4?\nAnswer: 4c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -28.7. Let x = 23 + s. Put -3, 4, x in increasing order.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, t: 1, o: 1, f: 1, x: 1, i: 2}. Give prob of sequence tiof.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59883*q**3 - 1296*q**2 - 29*q.\nAnswer: -359298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/8))\/(p*p\/p**2)*(p**0*p)**(-2\/3) assuming p is positive.\nAnswer: p**(5\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 - -105. Do d and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2393.0003678 + -2393. Round n to 5 dps.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8729 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 1676047, -2, -8\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t + 19 = 12*b - 35, -3*b - 3*t + 3 + 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 13*v**2 + 3*v + 29. Let u be c(12). Let d = u - -142. Suppose m - 16 = d. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60.120859 to 2 dps.\nAnswer: 60.12","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c9b + 7?\nAnswer: ca5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/9 + 259*k**2\/6 - 86*k - 2279. Let z(j) = 0. Calculate j.\nAnswer: 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 30*s + 61*s**2 + 47*s**2 - 145*s**2.\nAnswer: -37*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 51. Let r = p - -47. Which is the third biggest value? (a) -19 (b) r (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/1001 and -8\/31?\nAnswer: 31031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a centimeter in micrometers?\nAnswer: 32500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 j, and 1 h when three letters picked without replacement from hjuhaoaoahauajjjjaoa?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 16e563 (base 15) to base 10\nAnswer: 1111593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*o**4*q - o**4 + 2*o**3*q - 23*o*q + 3*o wrt o.\nAnswer: -648*o**2*q - 12*o**2 + 12*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -1047, -1633, -2263, -2943, -3679, -4477, -5343?\nAnswer: -6283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4400371.14 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.081 + -13.881. Let f be (-12)\/(-36) - (-5)\/(-9). What is the closest to o in 1\/6, 8, f, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -2*l**4\/11 - 130*l**3\/11 + 90344*l**2\/11 + 8380672*l\/11 - 202391040\/11 = 0.\nAnswer: -152, 20, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42990 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + b, 0 = z + 3*b - b. Suppose -2 = 4*d + 2*s, 2*d = -3*s - z*s - 11. Differentiate o + d + 0 - 3*o wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/5)\/z*z*z)\/(z*z*z**(-5)\/z)*z*z**(4\/7)*(z*z**(-6))\/z*(z\/z**7*z**(-7))**(-25\/2) assuming z is positive.\nAnswer: z**(11471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/120*4*0*2\/(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0 + 5. Let y(h) = 2*h**3 + 11*h**2 - 2*h + 1. Let w be y(i). Suppose 12*r = 18*r - w. Solve 0 = -4*m + r + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -a8866046?\nAnswer: -a8866048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m. Let o(y) = 3*y**2 + 6*y - 5. Let q(z) = -o(z) - 2*r(z). Let c be q(-5). Sort -2, c, -3 in decreasing order.\nAnswer: c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4*k**3 + 64*k = 0.\nAnswer: -4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 10*w**2 - 7*w + 24. Let y be 28\/6*6\/(-4). Let d be a(y). Let z = 135 + d. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1592 is divided by 187.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 2, j: 5, h: 2}. Give prob of sequence hhjr.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 22*i + 23. Let p(t) = -2*t**2 - 46*t - 45. Let j(u) = -3*p(u) - 7*w(u). Calculate j(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 2*w - 7\/4.\nAnswer: -(w + 1)*(w + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 9\/(-6)) + 3\/2. Suppose 0 = 4*a - i*q - 364, 3*q + 115 + 67 = 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 6)*(3*a**2 + 0*a**2 + 0*a**2)*(0*a**3 + a**3 - 8*a**3).\nAnswer: -105*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3214, 3083, 2910, 2671, 2342, 1899, 1318?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1337417\/16392965 + 1\/31831. Find the common denominator of -139\/6 and a.\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 362, 366, 202, -214, -966?\n\"Answer: -14*t**3 + 102*t + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10))\/((117\/(-52))\/9)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 379 + -397. Let t = -18.00224 - c. Round t to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r + 26*r - 9 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.79 + -0.21. Which is the second smallest value? (a) -1\/8 (b) 5\/3 (c) 5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 3*a + 2, 0*c + 5*c - 2*a - 16 = 0. Let b = c + 0. Let z = b + -1. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k\/k**(3\/2)))\/(k*k\/k**(2\/3)) assuming k is positive.\nAnswer: k**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let f(g) = -9*g**2 + 3*g**w + 7*g**2. Let o(b) = b**2 - b. Calculate o(f(z)).\nAnswer: z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of q**4\/12 - 3*q**2\/2 + 140*q. Let z(n) = 3*n**2 - 9. Let d(j) = 17*m(j) - 6*z(j). Calculate d(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 41.1, -4, -3.2?\nAnswer: 41.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 22*p + 4. Let w be s(3). What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/(-12)*160524\/(-588).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**3 + 41*l**2 - 85*l + 51. Let i(t) = -4*t**3 - 41*t**2 + 84*t - 49. Let g(f) = -5*a(f) - 6*i(f). Solve g(q) = 0.\nAnswer: 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.757491l?\nAnswer: 1757.491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 27. Let a be (2\/6)\/((n\/(-180))\/(-1)). Let p be (-14)\/(-2)*180\/a. Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 + 26 = -9*i. Suppose 0 = 7*n - i - 12. Suppose -1489 = -n*g + 344. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1046 - 1043. What is the second smallest value in 1, q, 0.015?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 33738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 525 + -555. Which is the second biggest value? (a) h (b) 0.6 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125878388?\nAnswer: 2, 59, 353, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 29 and -0.4493209.\nAnswer: 28.5506791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -73, -87, -71, -13, 99, 277, 533?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/378)\/((-4)\/(-501)) and 2\/21*3\/(-7)*1449\/(-36) + -3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -117, -2, 60, -8, -4 in increasing order.\nAnswer: -117, -8, -4, -3, -2, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44522 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c. Suppose 0 = 3*z - 6*z - 6. Let v be (-2)\/(-1) - z\/1. Let r be v\/(-2)*44\/(-8). Let m(q) = -2*q. Calculate r*m(j) - 6*x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9185\/(-1002))\/((5\/2)\/(-1))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*z - 3*z - 64*z + 28*z.\nAnswer: -78*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**2 - 5*y - 5. Suppose 36 = -3*u - 3*w, 3*u + 22 - 6 = 2*w. Let t be (3\/2)\/((-4)\/(-8)). Let q(k) = 4*k**2 - 2*k - 2. What is t*o(v) + u*q(v)?\nAnswer: v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 p when three letters picked without replacement from pbnpwnnpgnwpgj?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -88 - -85. Let t = 3 + -2. Which is the closest to t? (a) x (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 1. Let a(m) = -2*m**2 + 11*m + 28. Suppose -d + 5 = 4*d. Let b(l) = d*a(l) - 3*y(l). Does 25 divide b(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3997999276.\nAnswer: 2, 17, 29, 2027383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0. Let d = -0.1 + 2.1. Let u = 73 + -77. Which is the nearest to 2\/3? (a) u (b) z (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8605251 less than 8605252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1764219971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 + 0 + 0 - 4 + 2*u**4 + 4 - 9*u**3 + 9*u**3 + 6*u**4 + (u**2 - u**2 - 2*u**3)*(0 + 0 - 2*u) + 4*u**3 - 4*u**3 - 2*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4738 - -15672. List the prime factors of y.\nAnswer: 2, 5, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22131 + 1132301?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 50374?\nAnswer: 705236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.637488 decades?\nAnswer: 0.00637488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 6:13 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + -1*(-2 + sqrt(1700) - sqrt(1700)))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z - 85. Let y be v(31). Suppose 0 = y*x - 2 - 46. Solve -2*r + i - 1 = -0*r, -5*r - i = x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5\/11 + 212*a**4\/11 - 10452*a**3 - 6869816*a**2\/11 + 14083690*a\/11 - 7099116\/11 = 0 for a.\nAnswer: -271, -59, 1, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**2*z - 2212*c**2 + c*z**2 - 2*c*z - 5*z**2 - 8058 with respect to c.\nAnswer: -2*c*z - 4424*c + z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/3)\/w*w)\/w**(2\/3))\/((w**6\/w)\/(w**4\/w)) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*48\/(-40)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 84 = -2*c. Is 984 - c\/(-6) - 1 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - k**2 + 8 - 26 + 10 - 162*k - 30*k + 8.\nAnswer: -k**2 - 192*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h**2 + 48*h + 5. Let r be v(14). Put r, -3, -4 in ascending order.\nAnswer: r, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48240010 to the nearest integer?\nAnswer: 6946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 7:49 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.669 - -48.1. Round v to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -877 - -876. Let j(p) = 50*p. Calculate j(y).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*q**3 - 358800775*q**2 + 3218450172615580*q - 4827674451621660.\nAnswer: 5*(q - 17940038)**2*(2*q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381 - 430. Which is bigger: -243\/5 or a?\nAnswer: -243\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 3. Suppose -b - 17 = 5*s. Let f be -2 - 4\/s - -5. Solve 3*c + 2*n - 3*n = 14, 4*c - f*n - 32 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*g + 3776 - 3295 = 8*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -15*k**2. Let w(b) be the first derivative of -1019*b - 2*b**2 + 42 + 1019*b. What is w(q(d))?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**7\/105 - j**6\/20 + j**5\/30 + j**4\/4 - 2*j**3\/3 - j**2\/2 - 2. Let h(i) be the second derivative of p(i). Factor h(y).\nAnswer: 2*(y - 2)*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or 274313?\nAnswer: 274313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223\/4 + -56. Let f = -1.63 + 1.32. Let g = f + 0.31. What is the second biggest value in j, -0.4, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 6*m**2 - 2*m - 9. Let i be z(-6). What is the units digit of ((-9)\/3)\/(i\/(-33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 2128 + 7868 - 1457 + 2416 - 3*q to m*q + h and give h.\nAnswer: 10955","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**2 - 6*y - 2. Calculate m(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:50 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*f - 5*p, -f + 4*p + 20 = f. Suppose f = -0*t + 6*t - 276. Find the second derivative of -22*c**4 - 42*c + 83*c - t*c wrt c.\nAnswer: -264*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**4 + 4*y**3 + 19*y**2 - 19*y + 3. Let z(u) = 4*u**4 - 4*u**3 - 20*u**2 + 20*u - 4. Let c(w) = 4*x(w) + 3*z(w). Factor c(j).\nAnswer: -4*j*(j - 2)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - b**2\/4.\nAnswer: b**2*(2*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420.8662 meters to millimeters.\nAnswer: 420866.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 49 - 175 = 0. Let z = 3 + 25. Suppose -2*d + 28 = -4*r, -5*r = -3*d + z + 12. What is the remainder when h is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 40 + 40 = 0. Let s = 41 - 39. Calculate the remainder when (-5)\/35*s + (-436)\/(-7) is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -26.9, -6, 0.03, 0.3, -1\/18 in increasing order.\nAnswer: -26.9, -6, -1\/18, 0, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.446\nAnswer: 0.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -236 - -245. Calculate the highest common divisor of 27 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37626270 a multiple of 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is 54356 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 345871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2904*v**3 + v**2 + 21*v - 23. Let y be s(1). Is y > 2903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -4*b + 14. What is the units digit of (2511 + -7)\/2*(-2)\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305)\/(-13725)*1*-3*2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*d**3*p - 97*d**3 - 215*d**2*p + 1620*d**2 - 6*d*p + p wrt p.\nAnswer: -2*d**3 - 215*d**2 - 6*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = -11*y + 203. Let s(q) = 11*q**4 - q**3 - 6*q - 12. Let l(j) = -13*j**4 + j**3 + j**2 + 7*j + 14. Let k(h) = y*s(h) + 6*l(h). Factor k(r).\nAnswer: -r**2*(r - 2)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + -2)**2 - sqrt(2)) + sqrt(10)\/sqrt(45) + 5*1*(sqrt(72) - (sqrt(72) - (-1 + sqrt(72)))).\nAnswer: -32*sqrt(2)\/3 + 199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856 + 27267679057*a - 2*a**2 + 856 - 27267679057*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*d**2 + 34640463*d + 249354957 wrt d?\nAnswer: -10*d + 34640463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 500961019 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1873 a factor of 40412744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u - 11 + 18 + 7 in the form v*u + k and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 933 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2379154242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 1036*l**3 + 1026*l**3 + l**2 - 3 - 2060*l**3 - 7*l + 4*l**4 in the form p*l**4 + m + q*l**3 + s*l + w*l**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*1*-4*(-138)\/(-276). What is the closest to o in -1, 0.15, 0, 1\/10?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + t - 1. Let d(v) be the second derivative of -v**4\/6 - 3*v**3\/2 + v**2\/2 - v. Let w(y) = -d(y) - 3*r(y). Give w(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6184292027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/2 of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 327161764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118051242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let y(m) = -2*m - 14. Determine -5*r(u) - y(u).\nAnswer: 2*u + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (2 + 8)) + -1. Let g(d) = -d**2 - 9*d + 11. Let v be g(s). Solve -v = c - 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7*v**(-3)\/v)**12\/((v**6\/((v*v\/v**(-2)*v)\/v))\/((v\/((v**(2\/13)\/v)\/v*v))\/v**(-1\/3))) assuming v is positive.\nAnswer: v**(1411\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10962 * -0.7.\nAnswer: 7673.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6844)\/((-2751)\/(-147) - 19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/43 in 0.236, 2\/11, -4\/7, 0.4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -5*b + 55, 2*v + 0*b - 26 = -b. Solve 2*n - 5 = -4*c + v, c = 2*n + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9565952.\nAnswer: 2, 11, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = -s, -4*d + 2*d = 5*s - 2. Let x = 2 + s. Suppose 2*i = 5*v + 26 + 2, i + x*v - 1 = 0. Calculate the highest common divisor of 9 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27096.95331 rounded to the nearest ten?\nAnswer: 27100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6 - 0) + 2 - (-40 + 23 + 12)) + -43?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 120\/(-32) + (4 - 1). What is the third biggest value in 0.3, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70, -32, 70, 266, 586, 1060, 1718?\n\"Answer: 5*l**3 + 2*l**2 - 3*l - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgggkkggkgkgkgggg. Give prob of sequence kkg.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 2580*d.\nAnswer: -4*d*(d - 645)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -255 * -0.179\nAnswer: 45.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 2. Let m be n(-10). Let f be m\/(-48) + 73\/6. Suppose 4 = -b + f. Solve -o = 3*o + b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -936949662.56 and 0.4.\nAnswer: -936949662.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.9? (a) 5 (b) 0 (c) 104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, -1\/4, -1\/13, -30?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000242607 to six decimal places.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3207 - 3192. Let u be ((-4)\/10)\/(1\/(-5)). Factor 17*s**u + 3*s + 4*s - 9*s - b*s**2.\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121 + 277 - 90)*(-2*x + 2*x + x**3) + 4 - 4 + 2*x**3 to p*x**3 + l*x + n + b*x**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -234*f - 17843. Give j(-64).\nAnswer: -2867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-89)\/(-90))\/((-58)\/145). Let f = m - -20\/9. Which is the nearest to -1? (a) -0.3 (b) 0.4 (c) -6 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 2207.2, 3\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.654141 and 117.7?\nAnswer: 116.045859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.46792 nanometers to kilometers.\nAnswer: 0.00000000004546792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*r + 27 = 67*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 6*t**2 + 6*t + 6. Let m be r(7). Sort 1, m, -5 in descending order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/((-4)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*m - 2649 = -2186 + 3217 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j + 3*j. Suppose 3*f + 7*f - 1190 = j. What is the remainder when f is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12006 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 3 (b) 0 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 6 + 4)*(3 - 5 + 2*r - r)*(0 + 6 + 2) in the form j + b*r and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**4 + 76*r**2 + 3 - 74*r**2 + r + 4*r**4 to x + a*r**2 + d*r**4 + v*r**3 + s*r and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*g. Suppose g = -c + 2*c - 61. Suppose -4*l + c = -11. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970 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: Simplify (h\/((h**5\/h*h)\/h*h))\/h**(5\/3)*h**(-14)*h**(-2\/23) assuming h is positive.\nAnswer: h**(-1363\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 33 - 30, 3*g = -f + 8. Put 5, 0.33, f in increasing order.\nAnswer: f, 0.33, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -842534?\nAnswer: 2\/421267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 477 + 78 = 0. What is n rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202072 is divided by 2811?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2*s**5\/s*s\/s**(-2)*s\/(s\/s**2) assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - r + 4625 = 0, 5*r + 7 = 2. Suppose -5*u - 491 = -k. List the prime factors of u.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/39 (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 14 + 0)*(-4 + 5*g - g + 5) in the form k + h*g and give h.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8528 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 80*d - 370. Determine z(5).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3577 = 2*v - z, -v + 8*z - 9*z = -1796. Suppose 8*w = v - 287. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*b + 20, -3*t + 2*b = -2*b - 16. Suppose t = 5*x - 5 - 5. Factor -k**5 - 4*k**3 - 3*k**4 + 0*k**x - k**2 + k**3.\nAnswer: -k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5650\/17300)\/((-10)\/(-46)). Let m = b + -2\/865. Are 1\/64 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 32 - (35 - 4)) + -7.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 0.02 (c) 1\/5628 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 83.0836 (b) 4 (c) -30 (d) -0.4 (e) 0.3 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 + 63*s + 91. What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 divided by -48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -0.68.\nAnswer: -0.0544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*h + 25 = 0, 2*t - 14 = -7*h + 5*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1510*h - 133819 + 133819 - 1079*h.\nAnswer: -2589*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -2, -5 in increasing order.\nAnswer: -12, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -147*z + 1. Let x(j) = 7*j + 10. What is x(f(w))?\nAnswer: -1029*w + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3aaabc + -3?\nAnswer: 3aaab9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3930452962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Let q = 2477\/17290 + -1\/2470. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 265 - 262. Let y(u) = -4*u**a + 6*u**2 + 15*u + 12 + 3*u**3 + 5*u**2 - 4*u. Calculate y(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15000 and 9375?\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 5549\/19522 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1154, -2312, -3470, -4628, -5786, -6944?\nAnswer: -8102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-25 - -21)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 2*k**7\/7 - 589*k**6\/6 - 1003*k**3\/3 + 586. Find the third derivative of n(o) wrt o.\nAnswer: 240*o**3 - 35340*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 264*w**2 + 9115*w + 8850.\nAnswer: -(w - 295)*(w + 1)*(w + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(1331) - sqrt(1331)) + (sqrt(99) + -1 - (-1 + sqrt(176))) + -2 + 4)**2.\nAnswer: 656*sqrt(11) + 295860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j + 16*i = -7*j - 9*j - 71, -4*j + 4*i = -48 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**4 - 12*t**3 - 17*t**2 - 11. Suppose 3*w + 0 = -33. Let i(s) = 2*s**4 - 4*s**3 - 6*s**2 - 4. Let u(j) = w*i(j) + 4*g(j). Factor u(l).\nAnswer: -2*l**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57280.89 grams in micrograms?\nAnswer: 57280890000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2\/3 - 169535*z\/3 + 2204800\/3.\nAnswer: -5*(z - 13)*(z + 33920)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -45.632, -0.2, 2\/7, 4\/7, -69?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 421 (base 6) to base 7\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66308 and 1411102?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 1 - 25. Let r be t\/(-3)*(-6)\/(-1). Suppose -c - r = -5*c. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2177110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19307967 or -19307969?\nAnswer: -19307967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3296.2 + 3299. Sort c, 2\/3, -5, 5.\nAnswer: -5, 2\/3, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 3*h**2 - 6*h**2)*(-4*h + h + 0*h) - 2*h + 2*h**3 + 2*h + h**3 + 0*h**3 + h**3.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 83573 (c) 146 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 9*n**4\/5 - 61*n**3\/5 + 58*n**2\/5 + 32*n + 32\/5 = 0?\nAnswer: -1, -2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -153 + -2a?\nAnswer: -17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u - 1417*u**2 - 6*u + 566*u**2 + 0*u as n*u + v + i*u**2 and give i.\nAnswer: -851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -403141032 (base 5) in base 13?\nAnswer: -447209","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.655217 less than -7422.288?\nAnswer: -7406.632783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-7) - (-14 + 1326\/91)) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3859729\/69 - -55937. Calculate the common denominator of o and 71\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -80*f. Let j(a) = 1636971*a. Determine j(d(k)).\nAnswer: -130957680*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/4 - 20*j**3\/3 + 10*j**2 - 19*j + 9. Let o be g(19). Solve o = 2*s + 3*s - 10, -f + 4*s - 3 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-27)\/(-20))\/9)\/((-1)\/4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 20352 = 5259. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6 = 2*z, 5*j - 59 = 3*z. Suppose 0 = 6*h + 7*h - j. Let c(i) = 67*i**3 - 2*i + 2. List the prime factors of c(h).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -2*p, -10 - 5 = -5*p. Suppose i = -3*d - 229, -c*d - 2*i + i = 383. What are the prime factors of d\/(-5) - 14\/35?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o*o\/o**(1\/9)*o)\/(o*o\/((o**0*o)\/o)))\/(o**(-7)*(o*(o**(3\/4)\/o)\/o)\/o))**(-42) assuming o is positive.\nAnswer: o**(-2807\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 61 - (-126 - (122 + -245))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5156 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7661, 25, -32, -2 in decreasing order.\nAnswer: 25, 2, -2, -32, -7661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-66)\/(-55)*(-20)\/(-12). Suppose 14*u = x*u + 4032. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**2 + 187*y - 180. What is the hundreds digit of i(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22078, 22104, 22160, 22258, 22410, 22628?\nAnswer: 22924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 16. Calculate the lowest common multiple of 4 and 8\/q*(4 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 15, 1, 3, -3.\nAnswer: -13, -3, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1279727 + -8958087\/7. Determine l so that 0 + 0*l + 22\/7*l**2 + p*l**3 = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14013 + 24993. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 4*c - 1. Let l be r(-4). Which is greater: -6 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.249709 hours?\nAnswer: 18898952400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4703254562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2879.956 to 0 dps.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 16258.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2781 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: In base 13, what is -4 + -550555?\nAnswer: -550559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/233994 and -56\/885.\nAnswer: 1169970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (7 + -15)) + 5 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s - 3*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 3*r - 48 = 0, -3*r - 252 = -4*u. Let k = 65 - u. Calculate the highest common factor of 10 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 9*c - 6. Does 13 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*q + 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 745074.28444 and 19.\nAnswer: 745093.28444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9*a**2 + 3 - 7.\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-140)\/(-1384)*-4)*-1. Let f = -72\/7 + n. What is the second biggest value in -3\/5, f, -4\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17514 + -6827377.\nAnswer: -6809863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/10 - (-9)\/(-45). Let a be -3 - (-1 - -7)\/b. Let o(z) = 3. Let k(q) be the third derivative of q**4\/24 - q**3\/6 + q**2. Calculate a*k(c) + o(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/22, 4\/11, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 44*k + 3 = 0. Solve 4*z - 2 = 3*j, 0 = z - 0*j - j - k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 577 by -4.\nAnswer: -577\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7882 - 5?\nAnswer: 7879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6*r + 3*r + r)*(2 - 1 + 1) + r - 2*r + 0*r + (-4*r + 2*r - r)*(610 - 385 + 631))*(3*r - 3*r - 3*r**2).\nAnswer: 7719*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 30 = 1115*l - 1110*l, -3*l = -2*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, p: 5, r: 8}. Give prob of picking 1 k and 2 r.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185.664 and -74275.08?\nAnswer: 74089.416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3681717 or -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2745, -11950, -27173, -48318, -75289, -107990?\nAnswer: -146325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjjccj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3025)*-6)\/(-5*(sqrt(5) - 2*sqrt(5)*-2)).\nAnswer: -198*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13601*t - 639213. Determine o(47).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 4*c - 4, 0 = -3*a + 6*a - 4*c - 24. Suppose -2*i - j + 5 = -i, a*i - 3*j = 13. Let r be (-26)\/(1 + 16\/(-2)). Is i at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -3 + 4*-1. Let a = t + 4. Suppose b - 6 = 3*j, 3*j = -b - a*j. Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 105 - 81. What is the remainder when 14*(-2)\/i*(1 + -34) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**4 + 3*z**4 + 6*z**4 + (-4*z**2 + 2*z**4 + 4*z**2)*(-4 + 5 - 3) + 2*z**4 + 3*z**2 - 3*z**2 - 12*z**4 - 102*z + 102*z.\nAnswer: -10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -24*d**2 + 30*d + 234. Determine y(7).\nAnswer: -732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359874597 divided by 407559?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -38*w - 43. Let f(h) = -36*h - 44. Let a(y) = -5*f(y) + 4*v(y). Is 12 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4537 + -3250. Does 143 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -962*y**2 - 6045*y**3 + 6044*y**3 + 183*y + 962*y**2.\nAnswer: -y**3 + 183*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529958812 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(12 - (-840)\/(-72))*273\/(-14).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-4) - 3\/2. Solve -o + 3*l - 6 = 5*l, k = -3*o + 5*l + 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5*(-1 + sqrt(700)) + sqrt(700))*-1)**2*1.\nAnswer: -600*sqrt(7) + 25220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-1 - (0 + 0)). Let d = 74 + h. Suppose 0*q - 4*q + d = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c - 2*c + 3*c. Let m be ((-8)\/6)\/((-10)\/(-15)). Let v be 3*m*2\/12. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43.9 - -45. Let p = a + -1.079. Round p to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147398907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 - 2 - 20*i - 14*i.\nAnswer: -34*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 6*n. Let f be z(-6). Suppose f = u - 8 - 9. Calculate the remainder when ((-1225)\/(-50))\/(1\/2) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 6) to base 15.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from mqmmmzoqzqmmommq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342446419 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 3. Let v be o(7). Let w be (-4 + -9)\/(-1 + 0). Let g be (-3)\/12 - w\/v. Solve -m + 0*d + g*d - 11 = 0, -5*d = -m - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/2*f**3 + 0 + 7\/180*f**5 + 249*f**2 + 0*f - 17\/72*f**4 + 1\/360*f**6. Determine x so that g(x) = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 15*s + 24. Calculate m(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*g**2*q**4 - 168*g**2*q**2 + 4*q**6 - 2*q**2 wrt q?\nAnswer: 504*g**2*q + 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o - 3*o)*(1 + 0 + 0) + (37 - 78 - 102)*(7 + 21*o - 7).\nAnswer: -3005*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5992629343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 148 + 6. What is i rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h - 70*h - 50*h = -272*h - 2413 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*g - 3*g - 10, -3*g + 4*h = 11. Differentiate q**3 + 1 - q**3 - q**g + 4*q**3 with respect to q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:29 PM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 28668?\nAnswer: 831372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7, 13, 29, 61, 115, 197, 313?\n\"Answer: u**3 - u**2 + 2*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -2, -0.2, -4, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.05, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.4838 meters to millimeters.\nAnswer: 890483.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 994 + 994.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 574, 1917, 4154, 7285, 11310, 16229?\n\"Answer: 447*c**2 + 2*c + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2 + 6*s + 10. Let b(v) = -v**3 - 13*v**2 + 14*v - 2. Let h be b(-14). Let x(l) = l**2 + 1. Let w(g) = h*r(g) + 2*x(g). Factor w(q).\nAnswer: -2*(q + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1079453853 to the nearest integer?\nAnswer: 32855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 6*w - 4*w - 8 = 0, 4*w = 4*f - 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-56))\/((-2)\/(-14)). Suppose 0 = l*k - 33 + 29. Which is greater: -43 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-25)*-5*30\/4*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1844 - -7315\/4. Let c = -7\/4 + -1\/6. What is the common denominator of c and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -17.5. What is the second biggest value in c, 5, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93171?\nAnswer: 3, 13, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 23*r - 178. Solve -26 = r*o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4569598?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*x - 1 + 2*x**4 + 7*x + (6*x**3 - 3*x + 3*x)*(0*x + 0*x + 2*x).\nAnswer: 14*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -824? (a) -0.15 (b) 0 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 3:49 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51.0344 + -68.02. Let p = -17 - k. What is p rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-9) + (-91)\/(-39).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/84*-4)\/(-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 424753, 424539, 424337, 424153, 423993, 423863, 423769?\n\"Answer: g**3 - 221*g + 424973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, 3.3, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 4*g - 6. Give i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11740?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 + -11 + -1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 3. Let z = q - -3.7. Is 2 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.015 (b) -215 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:46 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10*t + 6*t = 1944, 0 = -y + 3*t + 1946. Let u(m) = -10 - y*m + 3906*m - 1955*m. Suppose 0 = -2*h - 3*f - 21, 3*f = -2*h - h - 30. Give u(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 130845840?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2 - 882*z - 2619 = 0.\nAnswer: -291, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - f = 5*t - 1, 2*f - 3*t = 0. Let v(s) = s**2 - 2*s + 3. Let u be v(f). What is the common denominator of 2\/u + 62\/4 and 37\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/(-84))\/((-1840)\/828)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 3. Let h be w(0). Suppose h*g = -18 + 54. Calculate the remainder when 32 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -3 - (-5)\/1. Suppose 2095 = z*c - 3*b + 589, -3*b + 3 = 0. List the prime factors of c.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 19. What is the common denominator of ((-15)\/(-4) - (0 + 3))\/w and 97\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21210 - -21252. Calculate the highest common factor of y and 6069.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -703*t + 2800 = -698*t. Calculate the remainder when t is divided by 170.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30300 and 66.\nAnswer: 333300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 12*m**2 - 10*m - 73. Let u be g(9). What is the greatest common divisor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9839 - -0.0161. Let d be (-3)\/8*(1 - 5). What is the fourth smallest value in d, 5\/2, 1\/4, j?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8514324 divided by -93564.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 304*d - 20 = 300*d, 0 = -2*u - 5*d - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -56 and -72151.\nAnswer: -72207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/2110704 and -41\/43973.\nAnswer: 2110704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 30 = 2*o, 0 = -4*o + 20. Suppose 38 = v - 3*l, 4*v - 3*v = 7*l + 38. Calculate the remainder when v is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*i + 298*i - 7630564 = 0. List the prime factors of i.\nAnswer: 2, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 3 = -3*x, -4*w + 2 - 4 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.076 - 0.155. Let n = c + 0.078961. Round n to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -157915, -631844, -1421735, -2527588?\n\"Answer: -157981*y**2 + 14*y + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (768\/(-24))\/(-576)*-15?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 - 175*l**3\/2 - 634*l**2 - 546*l.\nAnswer: l*(l - 182)*(l + 1)*(l + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 574021446 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**5\/60 + z**4\/12 + 5*z**3\/2 - 688*z**2. Calculate f(-6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 98165.12 grams?\nAnswer: 0.09816512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*d + 68, 5*d + 0*d + 68 = 4*u. Suppose -4*f + 3 = -u. Let s(t) = t**2 + 4*t + 2. Calculate the least common multiple of s(0) and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*i + 320. Suppose -5*s - i = -s. Let p = s - -63. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 16*i - 6 = 3*g, -12 = -2*i - 4*g. Which is bigger: i or -173?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and -10\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(4))\/(sqrt(21)\/sqrt(112)) + -1 + -2.\nAnswer: -3 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ddfzufzzfzzzzduzf.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(75) + 6*(sqrt(3) + sqrt(21)\/sqrt(7)) + 0.\nAnswer: 4 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14738296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 1068156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y**2 + 3*y**2)*(4*y - y - 2*y) - 238*y**3 + 3*y**3 + 10*y**3 + (y - y - 2*y**2)*(-4 + 4 - y) - 3*y**3 + 3*y**3 + 2*y**3.\nAnswer: -223*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3080129?\nAnswer: 13, 31, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597623, -2390550, -5378763, -9562262, -14941047, -21515118?\nAnswer: -29284475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 49. Let r be i*((-12)\/(-5) + -2). Let c be 9*(r\/(-9))\/(-2). Solve 3*z = c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 3\/8*o**3 + 0 + 51*o**2 + 384*o = 0.\nAnswer: -128, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1122*b - 2*o = -1123*b + 46799, -3*b + 140437 = 4*o. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -8 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 - 256. Is (-18)\/33 + (-206682)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8 + 7 + 2*r**2 + 5*r - 2 + 7*r. Is 12 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(288) + 0 + sqrt(288)*3)*-2*4)**2.\nAnswer: 294915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from lllflvlgfllklyvf?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34342 + 21322 = -651*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 598 or 578?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13 (b) -83 (c) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10902*s + 945 = 22007*s - 10970*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:14 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3, 6*o + 1 = 5*b + 3*o. Suppose -4*x - 29 = 5*s, 5*x = -b*s - 21 + 6. What is the common denominator of (-153)\/12 + 3 + x and -89\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i - 29 - 33 + 92 - 30.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 214.999999381 + -215. Round f to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from {g: 2, x: 5, k: 2, n: 3}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 - j - 1. Let q(r) = -2*r**4 + 14*r**3 + 46*r**2 + 18*r - 4. Let k(v) = -q(v) + 4*u(v). Suppose k(b) = 0. What is b?\nAnswer: -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 - (-55651)\/2755.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 92 = -6*v. Let k = v - -37. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 11:32 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -240, -532, -920, -1392, -1936, -2540?\n\"Answer: 2*h**3 - 66*h**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253470, -506938, -760406, -1013874?\nAnswer: -1267342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*f - 188*f + 272*f = -2299 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10101101110111000101110?\nAnswer: 10101101110111000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 14*u - 1. Let a(q) = q. Let v(x) = -4*a(x) - s(x). Is v(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 11:52 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 21. Calculate the remainder when ((-152)\/20)\/((-2)\/10) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m - 2*m + 26*m**4 + 4*m wrt m.\nAnswer: 312*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.5*32\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 2. Let h = t + 49\/3. Let x be ((-3)\/2)\/((-6)\/8). Put h, x, 0.5 in decreasing order.\nAnswer: x, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 7:50 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((10 + 30\/(-3))\/2)\/(-1))\/(-4). Factor f*l**2 + 0 - 1\/7*l**5 + 0*l**4 + 2\/7*l**3 - 1\/7*l.\nAnswer: -l*(l - 1)**2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = d - 79 + 63, 0 = -d - y + 7. Solve -d*h + 18 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*m**(4\/13)\/m assuming m is positive.\nAnswer: m**(56\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b = -5*s + 3*b - 79 + 5, -5*b = 70 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 3, -28, -81, -162?\n\"Answer: -q**3 - 2*q**2 - 2*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72903*y + 72951*y - v - 2*v + 726 = 0, -2*y + 3*y + 9 = -3*v for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/30432 and 139\/41844.\nAnswer: 334752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.172, 2\/3, 6\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4980 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.73 - 1.807. What is v rounded to three decimal places?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*2*1. Let q be (f\/1)\/(4 + -3). Let n be ((-416)\/(-24) + -16)*(-6)\/4. Is n at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7913 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, k: 1, s: 1, p: 1}. What is prob of picking 1 s and 2 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3895 divide 1857338540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*k + 2*q - 5603, -331 = -5*k + 4*q - 422 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1076 and -28011.\nAnswer: 30139836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5331 and 54.\nAnswer: 95958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 370?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468 divided by -39.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -473, -474, -475?\n\"Answer: -s - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/4 + -2 - 92\/8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 3*r - 3*r + (4*r + 0*r - 6*r)*(-2 + 3 + 0) + r + r - r + (-9 - 22 + 5)*(r + 0*r + 0*r) as n + g*r and give g.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6916462?\nAnswer: 2, 7, 271, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 4*d**2 - 5*d - 18. Calculate x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:58 AM?\nAnswer: 8:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223 - -123?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/6)\/((-14)\/63). Suppose -4*b - 3*a - a + 20 = 0, 3*a = -h. Find the third derivative of 0*x**3 - 14*x**2 + b*x**2 + 0*x**3 + 7*x**6 wrt x.\nAnswer: 840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10bd (base 15) to base 9\nAnswer: 4777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 93 in ascending order.\nAnswer: 5, 6, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 252*n**2 + 274*n - 482. Give z(-125).\nAnswer: -3482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5139 rounded to the nearest 100?\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(252) + -1 - sqrt(7)) - (2 + (2 + sqrt(7))*4))**2.\nAnswer: -24*sqrt(7) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**3\/3 + 5*f**2\/2 - 2. Let n be o(-4). Let w = -1.4 + 0.4. Which is the biggest value? (a) w (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (4\/1 - 7). Suppose -2*n - 2*n + 4 = 0. Suppose m*v + y = 4 + 5, -n = v - 5*y. Solve -u - 12 = -v*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - 6*c + 2. Let q be o(-6). Suppose v = q*v - 47878. Suppose 3*a - v = 15122. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259 - -370. List the prime factors of y.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 - 74. Let r = v - 46. Suppose 3 = 3*l + 6, -2*j - 4*l = r. Are j and 4\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*l**2*m**2 + 2952*l**2*m + 568*l - 42*m**2 - 2*m - 1 wrt l.\nAnswer: 36*m**2 + 5904*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -103. Is i >= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*v = -335*v - 105668. What are the prime factors of v?\nAnswer: 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149644, 299285, 448928, 598573, 748220, 897869, 1047520?\nAnswer: 1197173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172568 and 962.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.4, 0.3, 20 in descending order.\nAnswer: 20, 0.4, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-6)*42\/(-308). Put -4, n, 2\/3 in descending order.\nAnswer: 2\/3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/153 + (-2)\/(-3). Let s = -98 - -94. Which is the nearest to 2? (a) q (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-36))\/((-336)\/(-192)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 10:41 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.5, 1982?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 843.2958 microseconds in milliseconds?\nAnswer: 0.8432958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 15032764?\nAnswer: 15032764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 99*f**5 + 188625*f**4\/2 - 17844*f**3 - 1321563*f**2\/2 - 445818*f + 102906 = 0.\nAnswer: -5717\/6, -2, -1, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4) - sqrt(3))*5 + sqrt(147)*-1)**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138 take away -0.0596?\nAnswer: 0.1976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 15. What is l(15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 3. Suppose b*a - 3 = -a. Solve -4*s = a*k - 7*s, -s = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-5) + -4 - 3\/(-5 - -20)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -89, 3\/8, 5\/4 in descending order.\nAnswer: 5\/4, 3\/8, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**2 + 43*b + 78. Give d(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -7\/2 (c) -7897 (d) 0.004\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s**2 + 14*s - 102. Suppose -5*v - 112 = -3*n, 4*v - 6*v + 4*n = 56. Is m(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 w when three letters picked without replacement from {w: 2, n: 4, a: 1, t: 2, g: 8, q: 3}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19242, -38470, -57698, -76926, -96154?\nAnswer: -115382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1261)\/(-156) + ((-782)\/(-3864) - (-2)\/(-7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6430, -6387, -6344, -6301, -6258?\n\"Answer: 43*a - 6473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 15*a. Let t(u) be the second derivative of -3*u**4\/4 + 3*u + 20. Calculate t(n(k)).\nAnswer: -2025*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 5)\/(-4)*0. Calculate the remainder when 133 is divided by 44 - (0 + (-2 - l)).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28114890.\nAnswer: 2, 3, 5, 839, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*l + 533158 = 0, -553330 = -4*a - 3*l + 512930. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -4*w, 7*v + w - 33 = 2*v. Suppose 6*u = 4*u + v. What is the tens digit of 22\/33 + 151\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58 + (165 + -177 - (14 - 0))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 40560211?\nAnswer: 40560204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 324030125 (base 6) in base 15?\nAnswer: 795525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/4 - 2\/(-4). Let u = z - 7. Is 0 - 2 - (-5 - u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/55*(-13 - 243\/(-18)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 9299025*q**2 - 92990625*q - 232476875.\nAnswer: 5*(q - 1859815)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, l: 2, j: 9}. What is prob of sequence jb?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qooqqq. Give prob of picking 2 q and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 8, 3*c = 2*d - 3 + 7. Factor 107 + 5*x**2 - c*x**2 - 143 + 3*x**2.\nAnswer: 4*(x - 3)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5737 less than -437?\nAnswer: 5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(245) + 0 + (1*sqrt(245) + 5)**2.\nAnswer: 77*sqrt(5) + 265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 128940 divided by -5?\nAnswer: -25788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7056 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 470 or 731?\nAnswer: 731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-441)\/14)\/(-9) - (1*-16)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 12*l + 24772 - 24770 + 4*l.\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/65 - 212\/(-52)*2. Suppose 0 = 4*w + j + 20 - k, 2*w = j - 6. Is w > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 34\/(-12) + (-1)\/6. Let u be v\/(-8)*(-2)\/(-6). Let t = -0.8 + -2.2. Put t, u, 0.1 in ascending order.\nAnswer: t, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*z - 1 = -3*z, 0 = -v - 4*z. Suppose 4*m - 12 = -v*y, 0 = -y - y - 2. Solve 3*l = 4*c + 2 + 4, 4*c - m = -2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -53. Let o(n) = n**2 - 2*n - 5 - 4*n + 5*n. Let s be o(-5). What is the greatest common factor of s and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 i when two letters picked without replacement from {l: 1, e: 1, b: 2, d: 2, i: 7, k: 4}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1114283681 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1049 - -1121. Let k = 41 + 13. What is the highest common factor of k and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 744 and 372.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i = 92*i + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**3 - 2*n - 367*n**4 + 2*n**2 - 2*n + 5*n + 363*n**4 + 8 in the form b*n**3 + q*n**2 + i*n + h*n**4 + k and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 27. Suppose 3*j - 22 = 11. What is the hundreds digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) -13\/4 (c) 3 (d) 0.5 (e) 2354\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12299476, 12299479, 12299482, 12299485, 12299488?\nAnswer: 12299491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.49835 - 369045.\nAnswer: -369044.50165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13269718327 from 2826.\nAnswer: 13269721153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 45. Let g be l(-15). Suppose 0 = s + 3*m - 13, 10 = -3*m + 5*m. Let t be (s\/(-27))\/(2\/(-12)). Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z - 1. Let q(r) be the third derivative of -41*r**4\/24 - 2*r**3\/3 + 11*r**2. Let a(w) = 7*l(w) - 2*q(w). Calculate a(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17642*b - 54 = 17637*b + 3*g, -g - 18 = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*c = -87, -t + 4*t = 2*c + 89. Is 31 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 614, -81, 1\/3, -7\/4?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12 - 0) + (2937\/66 - 28))\/((-1)\/(-2))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.683 kilometers to nanometers.\nAnswer: 974683000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, -2, 5 in decreasing order.\nAnswer: 5, 0.5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 84 = -4*o - 0*o, -u = 5*o - 120. Calculate the greatest common factor of u and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84358780 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = -5*c - 95, -c - 9*l + 12*l = -22. Solve 4*m = -4*i + 7*m + 1, -4*i - 3*m = -c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 424265891?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 3. Let o(w) = -w**2 + 19*w - 68. Let p be o(14). Calculate the greatest common factor of p and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 6*h)*(1 + 0 - 5)*(1 - 4 + 1)*(-4 - 2*h + 4) as k*h**2 + p*h + r and give k.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.24 + -0.24. Which is the nearest to 0? (a) z (b) 0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 16 + 100 = 0. Suppose 3*b + z + h = -b, 0 = z. Let i = 13 + b. Calculate the remainder when 17 is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570 + 1780 - 430 = -8*g. Sort 4, -3, g.\nAnswer: g, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0 + 0)*(-4*i + 4*i - i) - i**4 + 0*i**4 + 0*i**4 - 15*i**4 - 10*i**4 + 2*i**4 + (2*i**3 - 2*i**4 - 2*i**3)*(14 - 8 - 11).\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1432, -5956, -13490, -24028, -37564?\n\"Answer: c**3 - 1511*c**2 + 2*c + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8803, -8825, -8861, -8917, -8999, -9113?\n\"Answer: -c**3 - c**2 - 12*c - 8789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 + 38 = -4*s. Let h be (-4)\/22 + -4*105\/s. Suppose -2*i - 6*c = -c - 16, -i - 4*c + 11 = 0. Sort -2, h, i in decreasing order.\nAnswer: i, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151438 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(52\/8 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a - 3*g = -23*a + 7, -3*a + 4*g + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20105\/46 + 437. Which is smaller: -14\/5 or q?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10922 and 14018.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 3*p - p + (2*p + 0*p - 4*p)*(-3 + 2 + 2) + 17 - 17 - 6*p.\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.9 (b) -38 (c) 0.3 (d) 2\/7 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r**2 - 3*r + 7. Determine x(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 + -1100000?\nAnswer: -1100220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 6. Let l be a(-4). Suppose 8 = 3*f - 5*v + 2, 5*f - l = -v. Let i = -4996 - -4995. Put -23, f, i in decreasing order.\nAnswer: f, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -4, 0, 26, -1 in descending order.\nAnswer: 26, 7, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1880788 divided by 91\nAnswer: 20668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 6\/5, 35, 0.5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.06 and -1.09865.\nAnswer: -1.15865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-8))\/(2\/(-136)). Suppose 0 = x*p - 13*p. Solve p = 5*a + 4 - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -667 and 0.5?\nAnswer: 667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132917839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + 9*k**2 - 196*k - 262. Determine w(-19).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.2 (b) -606 (c) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2308 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*k - 2*g, -4*k - 3*g = g + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 138*k - 20 - 270*k.\nAnswer: -132*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -620, 387 in increasing order.\nAnswer: -620, -4, 387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let k(v) = -v**2 - 25*v - 49. Let j be k(-22). Suppose 2*r - 4*z - 63 = j, -q*z - 37 = -r. Does 21 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1816119 + -1?\nAnswer: -181611a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/20*-25*7\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 95.76335um?\nAnswer: 95763.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/28 + (-76)\/133 + 190\/200?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1002?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*j - 53 = 0, 27*o = 29*o - 3*j - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/23570762 and 27\/1958602.\nAnswer: 683552098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1592417732 to the power of 1\/2, to the nearest integer?\nAnswer: 39905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.51 - 1728382609.\nAnswer: -1728382609.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 0.3.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 - (6 + -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1446 + 1464. Solve -n*u = -21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -9. Suppose -3*d - 37 = -3*g - 109, -d - g + 34 = w. Let v(z) = z + 3. Let t be v(0). Solve -24 = o - t*h - 7, 5*h = 2*o + d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18820.\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007877297 to five decimal places.\nAnswer: 0.00079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 - 73*f + 73*f + 2 as b*f**2 + n + o*f and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6764 + 1.5764. Which is the nearest to n? (a) -0.04 (b) 1\/2 (c) -4\/105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/20 > -8\/683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25579*s + 20 = 25577*s + m, -5*s - 5*m = 35 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1445*1.2\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1158 in 2\/7, -298, -1\/5?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itootito. Give prob of sequence ooii.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 - 0.34. Let j = -36 + 41. Let y = -13\/3 + j. Which is the fourth biggest value? (a) g (b) 0.2 (c) 3 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*y + 3*m, 2*y - 3*m + 0*m = 13. Let t be (y + (-16)\/4)*(-5)\/2. Solve 4*d = 4*l - 8, -2*l - 2*l + t*d = -9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, 105, 5\/12, 2.\nAnswer: 5\/12, 2, 105, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 5590 = 71*s. What is the remainder when 942 is divided by s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002297604 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 57. Let c(r) = -173*r + 2. Let t be c(u). What is the highest common factor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 1, s: 4, k: 2, c: 2, u: 2, m: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/(-16))\/((-3)\/66) + 3. Calculate the highest common factor of 63 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285476399.\nAnswer: 13, 41, 101, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let h = g - 9. Let i = h - -3. Which is the nearest to 0.1? (a) 1\/3 (b) -1\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5995947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 569 + -566. Which is the nearest to 0? (a) i (b) 3\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048912?\nAnswer: 2, 37, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2 - 747*b**3 - 125221897*b + b**2 - 5*b**5 + 125229225*b wrt b?\nAnswer: -100*b**3 - 4482*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let u(t) be the second derivative of -193*t**3\/6 - 829*t. Determine u(f(b)).\nAnswer: -193*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3331 - -3334. Let y(f) be the third derivative of -1\/5*f**5 + 0*f + 0*f**4 - 3*f**2 + 0 + 0*f**u. Let x(i) = 2*i. Calculate y(x(w)).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1060, 1057, 1050, 1039, 1024, 1005, 982?\n\"Answer: -2*g**2 + 3*g + 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1698 or -37.3?\nAnswer: 1698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -2 + -21 + (2 - -29) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132 at least as big as 770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 10*k + 6. Let h be f(12). What is the units digit of 792\/h + 6\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/222762 and -107\/6504?\nAnswer: 891048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let f(c) = -2*c + 11. Let w(h) = -f(h) - 4*z(h). Let o(p) = -6. Let b(m) = -7*m + 2. Let y(s) = b(s) - o(s). Calculate 5*w(q) + 4*y(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4 - 1) + (796\/192 - 4) and -13\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*(1 + sqrt(288) + 2))**2 - (((1 + sqrt(288))*-2)**2 - (sqrt(288) + 4*(-2 + sqrt(288))))).\nAnswer: -12522 - 3528*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, 2 in increasing order.\nAnswer: 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 1 + 1)*(2 - 1 - 3) + 1 - 1 + 8*x + (-x + 4 - 4)*(-4 + 0 + 5) in the form r*x + q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2, -2\/7, 2\/9, 1\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6723633?\nAnswer: 3, 7, 53, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**1\/b))**(-7\/3))**(-15\/4))**(45\/7) assuming b is positive.\nAnswer: b**(225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176352552 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2882 + 68*q + 2882)*(-q**2 + 0*q + 0*q) + 2*q**3 + 4*q**3 + q**3 to the form x + k*q + j*q**3 + d*q**2 and give j.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2376 = -53*f + 22*f + 20*f. Calculate the highest common factor of f and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 1726 = -7*c - 3*y, 3*c + y = 2556. What is the lowest common multiple of c and 854?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c80a6 (base 13) in base 14?\nAnswer: 36085a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 4 (c) -2\/3 (d) 8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 153*b. Let d(w) = -9*w**2 - 2*w + 2. Let t(f) = -22*f**2 - 5*f + 5. Let k(i) = -15*d(i) + 6*t(i). Determine h(k(z)).\nAnswer: 459*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*3\/3 - (-19 + 30). Let v(b) = -36*b + 145. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34339, -34336, -34333?\nAnswer: -34330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((54\/(-21))\/((-8)\/14)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 637056 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o + 0*o)*(-646*o + 7479*o**4 + 210*o + 214*o + 222*o).\nAnswer: 29916*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(8 + -44) + (-2)\/(48\/(-172))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*l + 13, 0*t + 19 = -5*l - 2*t. Let p = 9 + -13. Which is smaller: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2346483.\nAnswer: 3, 23, 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:20 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4 + 8*s**3 + 2*s**2 - 12*s = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 0)\/(5\/((-60)\/(-16))). Suppose 0 = -3*z + 2 + 1. Which is bigger: d or z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349 or 1660?\nAnswer: -349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15736573?\nAnswer: 15736573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -310000103 (base 4) in base 7?\nAnswer: -1545011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-102)\/84*-42*35\/210?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -7, 205 in descending order.\nAnswer: 205, 25, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p. Let l(f) = 1493*f. Determine k(l(j)).\nAnswer: 4479*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44426.8 decades to years.\nAnswer: 444268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 - (-8 + -1). Let i be (0 + (-3)\/r)*-8. Let a be 5\/3*(-9 + 12). Solve 3*l - c + a = -0*c, i*l - 6 = -5*c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/(-3)*6\/(-30). Let l(q) be the second derivative of 17\/20*q**j - 3\/4*q**4 - 9*q + 0*q**2 + 0 + 0*q**3. Find the third derivative of l(o) wrt o.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1120, -1264, -1408, -1552?\n\"Answer: -144*k - 976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(268\/(-201)*2*(-1)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2695 by 539.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8925 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: Evaluate ((-261)\/(-783))\/((-16)\/6).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 34, 2, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f\/(f\/(f*f**(-2\/7)*f))))\/f)\/f))**4\/((f*f**4)\/((f*(f\/(f\/f**(-5\/3)))\/f*f*f*f*f)\/f)) assuming f is positive.\nAnswer: f**(235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -481497 - -0.177.\nAnswer: -481496.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11100111 (base 2) to base 7\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)*l*l\/(l**(-27)*l)*((l\/(l**(1\/37)*l))\/l)\/(l*(l*l\/(l*((l**28\/l)\/l*l*l)\/l))\/l))**45 assuming l is positive.\nAnswer: l**(66555\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 + 0*f**2 - f**2 - 3*f**2 + 2*f**2 + 3*f**2 + (-2*f + 0*f + 0*f)*(f + 2*f - 4*f) - 4*f**2 + 4*f**2 + 2*f**2.\nAnswer: 5*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8*30\/435*29.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:43 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6000 and 59910.\nAnswer: 11982000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*u - 6 + 3 + 3. Let d(m) be the third derivative of -1\/40*m**6 + 0 - 45*m**2 + 0*m**5 + 0*m + u*m**3 + 0*m**4. Factor d(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 10*c - 2*c**2 + 2 + 13 - 24. Let n be i(-8). Suppose -n*j - 7 = -8*j. Solve -5*x - 2*s = -j*s + 5, -3*x - 2 = -2*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**2 + 20*y - 23. Let o(w) = 24*w - 162. Let z be o(7). Let n(j) = 5*j**2 - 7*j + 8. Determine z*p(t) + 17*n(t).\nAnswer: t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 243990 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*d**2 + 6*d**2 - 40*d**2 - 4)*(-5*d - d + 5*d).\nAnswer: 10*d**3 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63910932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -3 + -2 - 3) + (-434 - -453)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 7. Let l be q(7). Suppose -l = -3*r + r. Let p(w) = w - 1. What are the prime factors of p(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*i + 100, -7*l = 5*i - 4*l - 126. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g + 18. Let s be l(-9). Suppose s*p - 6*p = -150. Suppose -p = -5*d, 6*q - 4*d = q + 186980. Round q to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -843 by 8640.\nAnswer: -281\/2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1527, -1524, -1519, -1512, -1503, -1492?\nAnswer: -1479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205322 (base 8) in base 2?\nAnswer: 10000101011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 6*s**2 + 2*s + 2. Let c be t(3). Let p be c*((-2)\/4 + 2). Is 10 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 273 - 175. Suppose -t - 16 = -4*m, -3*t - 2*t - 11 = 3*m. Let f(s) = s**2 + s + 2. Let a be f(t). What is the greatest common divisor of a and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 418*k**3 - 1245*k**2 + 4*k + 1660.\nAnswer: -(k - 1)*(k + 2)**2*(k + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/(-2)*12\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 0*p**5 + 5\/6*p**3 + 0*p**6 + 0*p - 2\/105*p**7 + 0*p**4 + 0 + 4*p**2. What is the derivative of d(j) wrt j?\nAnswer: -16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let q(u) = -x*u + 4*u - 10*u. Let c(g) = g**2. Calculate c(q(p)).\nAnswer: 81*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26434 - -73281. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10569828.\nAnswer: 2, 3, 880819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 110000011100001101?\nAnswer: 110000011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - s - 20, -z + 18 = 2*s - 5*s. Suppose 0*v = z*v - 9. Determine l, given that -3*l**2 + 3*l**4 + 2*l**v + 6*l**5 + l**2 + 7*l**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14.61 (b) -0.2 (c) 0 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 11 - 45*(-21)\/(-105). Let s = 3 + -9. Sort j, s, -0.04 in ascending order.\nAnswer: s, -0.04, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffwrwfwfwwr. Give prob of picking 3 f.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/6 - i**3\/3 - 2*i**2 + 24*i. Let o(f) = -2*f**2 + 2*f + 3. Determine -4*m(l) - 5*o(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*z**2 + 82 + 53 + 68 + 193*z**2 + 24.\nAnswer: -2*z**2 + 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -86, -13, 5 in ascending order.\nAnswer: -86, -42, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*g*w**3 - 6407135*g + 2465*w**3 + 6*w wrt w?\nAnswer: 30*g*w**2 + 7395*w**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 959.36 + -959. Which is bigger: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (5 - -3 - 18)) + 3 + 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253283, 255122, 256961, 258800, 260639?\nAnswer: 262478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 322, 651, 980, 1309, 1638?\n\"Answer: 329*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59018163?\nAnswer: 3, 1699, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2. Let r(b) = 5*b. Let d(y) = 178*y. Let v(c) = d(c) - 2*r(c). Calculate v(z(f)).\nAnswer: 336*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/13231 + 250981\/1349562. Find the common denominator of -19\/255 and x.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -1b9eac?\nAnswer: -1b9e82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8915980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 395\/11158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 73*y + 396. What is u(-7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 107 - 125. What is the biggest value in j, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*y + 226*y - 104. Let r(i) = -i**3 + 10*i**2 - 13*i - 14. Calculate r(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 372 and 36735.\nAnswer: 146940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 5, -4, 4, 25, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + 5 + 3\/15\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-6) + -11 - (-6)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.05 take away -2?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - y**2 + 1. Let z(d) be the second derivative of d**7\/14 - 7*d**5\/20 + d**4\/12 + d**3\/2 - d**2\/2 - 9*d. Let i(g) = v(g) + z(g). Factor i(n).\nAnswer: 3*n*(n - 1)**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 83 + -b?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-30) - 2\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deozezvdvdvd. Give prob of sequence ez.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 361 a factor of 1214578002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.6573 - 5.3427. Which is the nearest to d? (a) 1 (b) -0.3 (c) -0.57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 4:59 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 82, -2, 5, -10\/17, 0.7, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 3*d + g = -3811, 2*d - 4*g + 2536 = 0. Let m = d - -13980\/11. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 308?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 i, and 1 r when four letters picked without replacement from {v: 4, i: 2, p: 1, x: 3, r: 2}?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 6*r - 5. Suppose 8*h - 4*h - 12 = 0. Suppose 0*a = h*a - 12. Let u be q(a). Solve 3*w - u = -12 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1334 = -2*a, -3*a + 1339 = 2*k - 6*a. Suppose -t - k = -2984. Suppose -2*z = 0, 855 = -3*p - 4*z + t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 370195*q**5 - 9242*q**2 + 3?\nAnswer: 22211700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 806 + -5711\/7. Which is smaller: -0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -0.1, 0.4, 2, -82, 13, 9.2?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 31 = 21. Suppose -x = -6*y + 13. Sort 5, 4, y in decreasing order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x + 3*x + 3*x + 11)*(-196*x - 65*x + 82*x).\nAnswer: -358*x**2 - 1969*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -7*f + 294. Suppose -f = 6*p - 9*p. What is the remainder when p is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 86*a**2 + 1. Let s be u(1). Let h(w) = 3*w**2 + 138*w + 47. Let p be h(-45). Let b = s + p. Are b and -7\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + v**2 + v + 30. Let x be w(0). Suppose 596*b - 74658 = 250870 + 85712. What is the greatest common factor of b and x?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by 170.\nAnswer: 59\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115*i**5*k + 191*i**3*k**2 + 25161*i**2*k + 2*i*k**2 wrt i.\nAnswer: 6900*i**2*k + 1146*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104 + 44 + 8)*((-3*z**2 + 2*z**2 + 8*z**2)*(-z**2 + z**2 - z**3) - 29 + 29 - 3*z**5).\nAnswer: 520*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 5*d**2 + 8*d - 2. Determine l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433 - 40*u + 7*u**3 - 6*u**3 - 433.\nAnswer: u**3 - 40*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 10:45 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001001111100111 + 1110010?\nAnswer: -1000001001101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1174 - 985. Suppose 0 = -4*f - k + 721. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:53 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5467079?\nAnswer: 19, 167, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-44)\/(-16)*(-30 + -4)*-2. What is the greatest common divisor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as 35356\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 < 272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21698388?\nAnswer: 2, 3, 31, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*z - 138, -6*c - 5*z = -2*c - 124. Let w = -21 + c. Suppose -2*t + 514 = 4*x, 1264 = w*t + x + 2*x. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**3 - p**2 - p - 1. Suppose 0 = 4*z - 3*c + 4*c + 8, -c = 3*z + 7. Let k be x(z). What is the units digit of k\/(-18) - 124\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.201104 times 0.4\nAnswer: -0.0804416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**3*j*q + 5*h**3*j - 156*h**3*q + 2*h**3 + h**2*j + 15*h*j*q + 4*h*j + 116*h*q + 1 wrt h?\nAnswer: -24*j*q + 30*j - 936*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 307936637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o + o. Suppose o*k = 3*f + k - 13, -3*f + 3*k = -12. Find the second derivative of -m**f + 4*m**3 + m**3 + 3*m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4324 and 1.1.\nAnswer: 0.47564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/18571 and 3\/256133885.\nAnswer: 1792937195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (30 - -7) - ((-7 - 1) + 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**5\/5 + 3*m**4 - 45*m**3 + 563. Factor u(z).\nAnswer: 3*z**2*(z - 5)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 - (-21 - (-48 - (-41 - -3)))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 2. Suppose -4 = 3*v - 7*v. Let m(f) = f**2 + 0 + 0*f**2 + 0*f**2 + 1. Determine v*b(l) + 3*m(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 20 = -2*x, -22 = -6*d - 45*d + 55*d - 5*x for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 149.8 * 0.028\nAnswer: 4.1944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 + 2*c + 78 - 60 + 95 + 79 to the form n + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1807, 3616, 5425, 7234, 9043, 10852?\n\"Answer: 1809*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128056*o**4 - 350*o**2 - o - 5?\nAnswer: 3073344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3111 - 3131. Which is smaller: s or 3\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 33*c**3 + 7*c**2 - 46*c. Let k(m) = 11*m**3 + 2*m**2 - 15*m. Let v(o) = 2*b(o) - 7*k(o). Find the second derivative of v(t) wrt t.\nAnswer: -66*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**4\/12 + t**3\/3 + t**2\/2 + 2*t. Let i(m) = 4*m**2 + 5 + 9*m - m**2 + m**2. Determine -2*i(n) + 9*z(n).\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.6777301 rounded to 3 dps?\nAnswer: -42.678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 26 + 4 + 4 + -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 2*h = 64. Let n = 148 - h. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140863 divided by -27\nAnswer: 140863\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**4 - q**4 + 11*q - 5*q**2 - 9*q to i + a*q + m*q**3 + n*q**4 + w*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 4*c**2 - c - 4. Let v be x(-4). Suppose -2*p + 10*p = v. Solve p = 5*m - 7 + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56858984?\nAnswer: 2, 7, 13, 83, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(432)*4)**2.\nAnswer: 110592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.1, -3.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23595.5 * -0.026.\nAnswer: -613.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 466299568 - 466096730.9989. Let h = 202827 - u. Let w = 10 + h. Round w to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (1 - (3 - 0)) - -5 - 3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (16380\/(-216) - -42)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 5 + 5, -4*s + 41 = -5*z. Suppose -39 = -s*h - 7. Solve 0 = -h*d + 4*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -75.9885312 from 13051.\nAnswer: 13126.9885312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.549361 rounded to 2 dps?\nAnswer: -9.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -4*sqrt(931)*-1 + sqrt(931) + 1 + (sqrt(931) - (sqrt(931) - -2*sqrt(931))))**2.\nAnswer: 56*sqrt(19) + 14897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/4 of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:34 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**5\/5 - 6*u**4\/5 - 2*u**3\/5 + 14*u**2\/5 - 8\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624065461?\nAnswer: 17, 36709733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 711*r**2. Let h(a) = -2*a**2. Give h(i(c)).\nAnswer: -1011042*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/5813929 and -3\/17?\nAnswer: 98836793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3241 + -333122?\nAnswer: -341413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 51943*y - 51941*y = 4, -2*q = 5*y - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -113903 in descending order.\nAnswer: -3, -5, -113903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15312.8 - -15313. Let k be 1*((-15)\/7)\/(-1). Which is the third biggest value? (a) -4 (b) k (c) m (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 11223\nAnswer: -5611.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*f + 9930 - 2667 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 325 + 85. Suppose 0 = 5*a - 600 + m. Suppose 5*t - 2*k = k + a, 0 = -t - 4*k + 30. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.4 (c) -2\/3 (d) 1\/8 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*j - 0*h - 70, 5*j = -3*h + 167. Let i = j - 32. Sort -4, i, 3, -2.\nAnswer: -4, -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9848.56*0.4.\nAnswer: -3939.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - 11) + 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478470, 478473, 478476, 478479, 478482, 478485?\nAnswer: 478488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -522\/5. Which is the smallest value? (a) z (b) 4 (c) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**3 + 2*b**2 + 2. Let o = 12299 + -12297. Calculate q(o).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96532104 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 k = 419948.99884 + -419933. Let s = k - 16. Round s to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 0.3, -12.97, -1?\nAnswer: -12.97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2. Let g = 11 - 6. Let u(y) = 4*y + 0 - g*y + 0. What is n(u(b))?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w + 71 = -47*w - 226 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 491*n**3 - 3641*n - 1 wrt n.\nAnswer: 2946*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(176) + 0 + sqrt(11) + -5.\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-51)\/(-51))\/(7\/(-3)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3693*b**4 + 202*b**3*y - 79*b**3 + 24*b**2*y - 7*b**2 + 275924*b*y wrt b.\nAnswer: 88632*b + 1212*y - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 1.4. Which is the nearest to -2\/3? (a) f (b) -1\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(700)*-1*6 + 3))**2.\nAnswer: -7200*sqrt(7) + 504180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5189 + 11198. Does 21 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042993241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhsc when four letters picked without replacement from bsbbechbshbesebbbb?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-2 + (2 - 2)). Suppose f*o - o + 38 = 2*d, -13 = -d - o. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 - 5*b**4 + (-7*b**2 + b**2 + 2*b**2)*(3*b**2 + 2*b**2 - 2*b**2) + 3*b**4 - 4*b**4 - 9 + 6.\nAnswer: -18*b**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10488\/17 - 617. Let s = -273 + 267. Put -1, s, m in decreasing order.\nAnswer: m, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1982523, -1982526, -1982537, -1982562, -1982607, -1982678, -1982781, -1982922?\nAnswer: -1983107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (3 - (-6)\/(-2) - 4). Suppose b*s + s = 18*s. Let l(m) = m**3 + m**2 + 9. Let g be l(s). Which is greater: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-252)*3*((-2)\/(-1))\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2)*(-1)\/((-116)\/(-551))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4411076410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 3. Let g(q) = -9017*q**2 - 1. What is c(g(b))?\nAnswer: -63119*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 17\/(-9) + 18\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -36, -22, -6, 12?\n\"Answer: f**2 + 11*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 58.9, 3, 2 in descending order.\nAnswer: 58.9, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d - 75. Suppose p - d = -2*p. Suppose -p*z + 10 = -0. Solve 0 - 2 = -z*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*a**3 + 3*a - 5*a - 18*a**3 + 4*a**2 + 30*a**3 in the form v*a**2 + d + k*a**3 + o*a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22552 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129 - 10.59?\nAnswer: 4118.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975543526.\nAnswer: 2, 31, 167, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2. Let o(t) = -334*t**2 + 3*t + 1. Determine -6*a(u) - o(u).\nAnswer: 304*u**2 - 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -26 - (1 - 177\/(-3)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 169973?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*q + 18*q + 5*q)*(3*q + q**3 - 3*q**3 - 5*q) in the form j*q**4 + d + l*q**3 + v*q + i*q**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(612) + 2 + -6*(sqrt(612) - (sqrt(612) + -1)**2) - (2*-1*sqrt(612) - (-3 + -2*sqrt(612) + sqrt(612) + sqrt(612))**2))*6.\nAnswer: -540*sqrt(17) + 22122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/9)\/x**(-42\/11) assuming x is positive.\nAnswer: x**(323\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 15. Let o(y) = -y**3 - 4*y**2 + 3*y - 6. Let s be o(-5). Calculate the highest common divisor of r and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 23 = 3*a - 3*s, -4*a + 33 = -5*s. Suppose l + a*l = 3. Solve -v - 4 = h, 5*v + 14 = -l for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:05 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1211 - -1208. Put i, -4, 5, 158 in increasing order.\nAnswer: -4, i, 5, 158","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, o: 2, b: 1, n: 2, h: 1}. What is prob of picking 2 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3 - ((-419040)\/9520 - -41)?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 10 + 10)*(4 + m**2 - 4) - 2 - m**3 + 2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(21\/(-14))*(-27)\/(-2). Is -10 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 38)*(-2)\/6. Suppose 30*f - 229 - n = 0. Solve 2*g - 4 = 3*a, -a - 2*a - 4*g = -f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*f - 32, 2*c - 26 = -0*c + 4*f. Factor -20*t**3 - t + 24*t**3 + 8*t**2 + c*t - 16*t.\nAnswer: 4*t*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7255 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 35741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -95, -165, -273, -431, -651, -945?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/(-8))\/1*(-13)\/(195\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - 0.3. Suppose 2*g - 3 + 1 = 0. Which is the nearest to 1\/2? (a) 0.3 (b) g (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 8. Let f be x(0). Let y = f + 6. What are the prime factors of (20\/(-2))\/(y - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 6 = 0. Calculate the greatest common divisor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*u - 14590 - 3482 = 263 for u.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*b**2 + 117\/8*b - 29\/2.\nAnswer: -(b - 116)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pffiziud. Give prob of sequence ufpf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10767924589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11154 minus -1728?\nAnswer: -9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177448303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 27*r - 458. Let f be b(17). Sort f, 4, 3, 8.\nAnswer: f, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 4*c - 33 = -11, 4*c - 28 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*f**3 + 101 + 845*f**4 - 1686*f**4 + 839*f**4 wrt f.\nAnswer: -8*f**3 + 51*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 258\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47905.73 + 47899.730003. Let m = g + 6. Round m to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1479638950 to the nearest integer?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7717 (base 10) to base 11\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 292*y**4 - y**2 - 181*y?\nAnswer: 7008*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 165*i + 216. Give s(2).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 27*z - 4. Let o(h) = 11*h**2. What is o(m(q))?\nAnswer: 8019*q**2 - 2376*q + 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34496 + -34500. Let w(g) = -g**2 - g - 5. Let o(t) = 2*t**2 + 3*t + 11. What is n*o(z) - 10*w(z)?\nAnswer: 2*z**2 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(256)\/(6*sqrt(48)\/sqrt(6)) + (-3 + 1 + sqrt(72))**2*2.\nAnswer: -142*sqrt(2)\/3 + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 146*t + 3594. Calculate g(0).\nAnswer: 3594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 - 269. Let a be 934\/6 - (-13)\/(351\/r). Is a > 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/2 + 306*h**2 + 20808*h + 471648 = 0. Calculate h.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:12 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70290 and 1341758.\nAnswer: 60379110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(72)*-1 + sqrt(72))**2 - ((sqrt(2) - (sqrt(50) + 4)) + sqrt(2))*4.\nAnswer: 12*sqrt(2) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*m + 397*m + 688*m = -18802 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 2 (b) -1.46 (c) -2.49 (d) -2 (e) 0.1 (f) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 446*v**4 + 6*v - 436*v**4 + v + 0 + 1 to x*v**3 + i*v**2 + t*v + o + b*v**4 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*n + 419*n - 2*n**2 - 303*n.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/27)\/((-8)\/(-12)*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from llvvlvlzllezclvvlv.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5\/7, 2, 0.13, 0, -5, 674.\nAnswer: -5, -1, -5\/7, 0, 0.13, 2, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 813 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, k: 8, d: 5}. What is prob of picking 1 k and 1 d?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 32*v + 13. Let l be a(2). Is l < 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Is j + -3*(-422)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x. Let d(f) = -30*f. Let n(o) = -3*d(o) - 16*m(o). Let p(c) be the third derivative of -c**5\/30 + 3*c**2. What is p(n(r))?\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 - 0.0400017. Round x to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 355208329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c95 (base 13) to base 3.\nAnswer: 22222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589059559 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 138*l**2 - 2*l**3 - 51*l**2 - 3 - 39*l**2 - 47*l**2 + 3*l. Let h = -7 + 3. Let p = 6 + h. Determine v(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a week in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 639476166?\nAnswer: 2, 3, 7, 310727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 0*l**4 + l**5 + (-2*l - l**4 + 2*l)*(2*l - l + 0*l) + 0*l**5 + 2*l**5 - 3*l**5.\nAnswer: -l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**3 - 6*x**2 - x - 15. Let v(a) = -7*a**3 + 11*a**2 + 2*a + 29. Suppose o + 24 = -4*q, -3*o - 18 = 3*q + 2*o. Give q*v(b) - 11*m(b).\nAnswer: -2*b**3 - b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.989 in 1\/9, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from iwwwrrbdprwdwdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384 + 383. Which is the closest to 2\/57? (a) -5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*l + 18 = 0, 4*g + 2*l = l + 15. What is the units digit of 14 - (g\/1 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 750385174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -873.3 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 15 + 1. Suppose -i*a + 55 = a. Let d = -8 + a. Solve d*c - 1 = 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 31 - 34 + 71 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = 60. Let a = 44 - 30. Let o be a\/(2 - 0) + -1. Calculate the greatest common factor of n and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 572901180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 8. Let w = -16.1 - -16. Put -4, w, d in decreasing order.\nAnswer: d, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010122001 - 10?\nAnswer: -122010122011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9220150, 18440301, 27660452?\nAnswer: 36880603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuiiviutvvvvipiv. What is prob of sequence tpuv?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 377 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0*b**2 - 2*b**2)*(-10 + 7*b - 16*b + 13*b).\nAnswer: -4*b**3 + 10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 72820, -4, -3 in decreasing order.\nAnswer: 72820, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -52, -60, -64, -58, -36, 8?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 295301, 590604, 885907, 1181210, 1476513, 1771816?\n\"Answer: 295303*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 7857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8*j**3 - 3*j**2 - 5*j - 5. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/5 + (42738\/170 - 15). Calculate the highest common divisor of y and 8611.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2142070 or -1?\nAnswer: 2142070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4521.99979775 + 4522. Round d to 6 dps.\nAnswer: 0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.85 + -15. Let f = -3.45 - y. Let b = 3 + f. Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*p + 12809 - 1385*p - 12822 + 3*p**2.\nAnswer: 3*p**2 - 1291*p - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mabbmbapbrrarbbbmv. Give prob of picking 2 a, 1 p, and 1 v.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 13*c**2 - c + 1. Suppose 4*g + 2*g = 24. What is the remainder when b(1) is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 2\/(-1) + 4. Suppose -5*c = -5*a + 45, 0 = -2*c - s*c - 16. Calculate the remainder when (9\/(-6))\/(1\/(-8)) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*y**5 - 440*y**4 - 1020*y**3 - 400*y**2 + 208*y = 0. What is y?\nAnswer: -13, -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.7682 centuries in months?\nAnswer: 77721.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/30708 and -43\/171?\nAnswer: 583452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -13.9, 6, 9, -0.3, 5, -1\/3 in decreasing order.\nAnswer: 9, 6, 5, -0.3, -1\/3, -13.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/49334329 and -121\/6.\nAnswer: 296005974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 5*k + 13. Let v be r(-6). Let n(c) = -28 + 11 - c + 16 + v. Is 2 a factor of n(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssk when three letters picked without replacement from {l: 2, e: 1, q: 1, j: 1, k: 1, s: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 8*c**2 + c - 2. Determine t(-4).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6593 rounded to 1 dp?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*x + 3*x - 4*x**2 + 9*x**2 + 2*x to g*x + c*x**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 = 2*g, 123 = 5*r - 3*g. Let x be (70\/(-20))\/((-2)\/r). What is the highest common factor of x and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 - 5*v**3 - 6 + 462*v - 8*v**2 - 459*v + 5. Let i(l) = -3*l**3 - 5*l**2 + 2*l + 3. Calculate 8*i(j) - 5*p(j).\nAnswer: j**3 + j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 477 = 5*h, 2*c - 255 = 3*h. Let q = -59 + c. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/(-1)*32\/32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687715 is divided by 165.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 - 55*b + 907. Calculate k(12).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 2. Suppose -266*o = -264*o - 30. What are the prime factors of (-3 - 0) + (o - t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 61 = -7. Let m = f - 34. Suppose -v + o + 439 = -m*v, -2*v + 866 = -5*o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1569618 by -6.\nAnswer: 261603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768149017 to the power of 1\/2, to the nearest integer?\nAnswer: 42049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 3. Let d be 2\/10 + (-895)\/(-150). Let b = v + d. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.72 rounded to zero dps?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5151*n**3 - 35*n*q**2 - 5238*q**2 - 118 with respect to n.\nAnswer: 15453*n**2 - 35*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7834837304600 and -0.5.\nAnswer: -7834837304600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 34 = 3*v - 20, p = -4. Let d(h) = -2*h**2 - 57*h + 50. Let k be d(-26). Let c = k + -168. What is the remainder when v is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r + 54*r - 88*r to the form o + y*r and give y.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91849 or 91854?\nAnswer: 91849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*q**3 + 3724*q**2 - 1800*q**2 - 1923*q**2.\nAnswer: 74*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o**3 - 778*o**2 - 3696*o - 1440 = 0. Calculate o.\nAnswer: -4, -3\/7, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4*q + 6, -q = 5*p - 1 - 3. What is the remainder when 9 is divided by ((-5 - -2) + 8)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -80740\/127 and -637 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**0)**(-1\/9))**(-21))**(-3\/8))**(5\/8) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let b(z) = -27*z**2 - 5*z. Let x(m) = -m. Let k(o) = b(o) - 5*x(o). Calculate k(l(v)).\nAnswer: -243*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17478?\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 6*r**2 + 3*r - 5. Let l(m) = 3*m**3 - 4*m**2 - m + 2. Let x be l(-1). Let t(o) = o**2 + o - 1. Suppose 4*b = -1 + 5. Give b*f(c) + x*t(c).\nAnswer: 2*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 10:22 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -28. Suppose 4*b - 5 = i, 2*i - 3*b = 3*i - z. Solve k - i = 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -1) + 1324 + 3\/1. Let k = -856 + d. Let q = k - 217. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 25*f + 17. Let g be m(-13). Suppose 3*x = g*x. Suppose x = 2*c + 4*i - 115032 + 45028, -175004 = -5*c - 4*i. Round c to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6095 and 920?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:26 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394 + -422 + (-2 - -1) + -7 + -12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -214 + 174. Let z = 471 - 223. Let i = w + z. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-36)\/2)\/(27\/(-18)). Let a be (-112)\/(-96) - 2\/r. Suppose -a = 11*u - 12. Which is smaller: u or -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvl when four letters picked without replacement from vvlllwv.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -955, -956, -953, -946, -935?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -12. Let a(k) = 0*k + 3*k - 2*k - 5. Let i be a(5). Is i greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433 = -12*r - 8*r + 1653. Solve 17*c + 10 = r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77454.\nAnswer: 2, 3, 13, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 3:54 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 8*s. Let h = 1 + -1. Solve s*q + 3*q + 3 = h for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 389, -1 in decreasing order.\nAnswer: 389, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (-1)\/((-2)\/(-1)). Let i = 23 + -70\/3. Let y = -26 - -53\/2. Put y, k, i in descending order.\nAnswer: k, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.14? (a) 2 (b) -3.23 (c) -4 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 6*t - 3. Suppose 0 = -3*o + 2*a, -4*o + 22 + 1 = 5*a. List the prime factors of x(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745 divided by -5.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255 - 2*l**4 - 2*l**4 + l**3 + 4*l**3 - 249 to i*l**4 + c*l**3 + f*l + w + b*l**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u - 31. Let i be n(11). Let q(v) = -6*v**2 - 10*v - 11. Let w(h) = -h**2 - 2*h - 2. Calculate i*q(y) - 11*w(y).\nAnswer: -y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/15 and 47\/1224.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -415*u**2. Let y(b) = 40674*b + 0 - 40676*b + 0. Determine w(y(k)).\nAnswer: -1660*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Suppose z - 12 = -3*z. Suppose 1 = k*o - z*o. Calculate the highest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04864177794 rounded to 5 dps?\nAnswer: 0.04864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67520234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) + 18\/5. What is the second derivative of 14*m - m - 4*m + m - 4*m**f wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7374.\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2077896 by 12.\nAnswer: 173158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 7*g**2 - 13*g - 40. Let s be k(-8). Let c(x) = x + 10. Let v(h) = -h - 11. Let u(j) = -2*c(j) - 3*v(j). Determine u(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24141404.\nAnswer: 2, 7, 43, 20051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -15\/2*x**2 + 2 + 0*x. Let y(m) = -m. Let i(t) = -2*t**2 + 6*t. Let o(g) = -i(g) - 6*y(g). Calculate o(z(b)).\nAnswer: 450*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4773871 divided by -39?\nAnswer: 4773871\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v. Let h(o) = -81*o + 149*o - 79*o. Calculate h(g(l)).\nAnswer: -55*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 688 and 75136.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 3957660?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**7)\/s)\/(s*(s*s**(2\/7)*s)\/s*s))\/(s**(-3\/8)*s\/(s*s**0)))**9 assuming s is positive.\nAnswer: s**(-4995\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(500)*2*4*1)**2 + 3.\nAnswer: 32008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529287 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -10*d**3. Suppose t + 14 - 22 = 0. Suppose t + 36 = 11*p. Let h(g) = 11*g**3. Calculate p*z(r) + 3*h(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -288897.86 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-8))\/(1\/(-2)). Which is the smallest value? (a) 0.7 (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 7. Let j be 2\/4 + c\/2. Sort 3, j, -0.2 in ascending order.\nAnswer: j, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 10:28 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 29*w = -38*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 1\/3316 (c) 3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3225, -3179, -3105, -2997, -2849?\n\"Answer: j**3 + 8*j**2 + 15*j - 3249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*u = -57*u + 128 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = t - 3*u, -25 = -3*t - t - 3*u. What is the lowest common multiple of 12 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74974 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (0 + -13 + (-31 - -19 - -28))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 6:55 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0487 (base 16) to base 3.\nAnswer: 1100200110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aaccyhlbh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (sqrt(468) + 1))**2 + sqrt(468) - sqrt(468) - (sqrt(13) - sqrt(156)\/sqrt(108)).\nAnswer: -2*sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a**3 - 3*a**2 + 9*a - 8. List the prime factors of s(-5).\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.4664177 to zero decimal places.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -l**4\/4 - 3*l**3 + 3*l - 35. Let j be r(-9). Suppose t = -4*c - 4, -1 = -t + c + 5. Sort j, t, 0 in ascending order.\nAnswer: 0, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6342 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**2 + 20*i - 2. Let g(l) = l**2 + 4*l. Let o(z) = -5*g(z) + v(z). Let y(k) = 8*k**2. Determine y(o(f)).\nAnswer: 648*f**4 + 288*f**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 1\/2, 2, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(704)*1 - sqrt(11))**2.\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a - 2. Let w be ((-516)\/645)\/((-2)\/(-5)). Calculate q(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/4, -3\/1151, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -14011.\nAnswer: -14013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**4 + 1305*z**3 + 13299*z**2 + 22671*z + 10680 = 0.\nAnswer: -8, -1, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 968 divide 85777036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of 3*k**5\/20 + 17*k**4\/4 + 40*k**3 + 96*k**2 + k + 10. Solve f(l) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32 + 30)*(-878)\/(-2). Let n = -241 - s. What is n rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0361276 times 0.047\nAnswer: -0.0016979972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77570 + -51617. Is b a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07698818 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 189 + -188. Let p = 1 - -2. Suppose -2*m + 6*m + 5*j = -31, -4*j - 8 = -m. Which is the third smallest value? (a) p (b) m (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(1088) - (1*sqrt(1088) + 0 - sqrt(1088))) + 3 + 0 + sqrt(1088) + 5)*6)**2.\nAnswer: 4608*sqrt(17) + 157248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 15*n - 13*n. Suppose -42*b = 4*x - 39*b - 17, 3*b = 2*x - 13. Solve x - 5 = n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 + 1609*z - 9778. Determine c(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -299202406?\nAnswer: 5\/299202406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 35 = 5*p, -5*r - 3*p + 392 - 371 = 0. Which is greater: r or -5\/1826?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d - d - d + (0 + 4 - 2)*(-57*d - 4*d - 120*d) + 8*d - 3*d - 14*d.\nAnswer: -373*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 1. Let p be k(1). Suppose -3*m - 6 = 2*b - 5*b, m - 13 = -2*b. Solve r + u = p, -m*u - u = -r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -256, 2 in ascending order.\nAnswer: -256, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - h. Let n(a) = h - 4 - 5*a + 2 + 0. Calculate n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, c: 7, z: 3}. What is prob of picking 3 t?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 92. Suppose w*v - 19*v = 0. Suppose v = -7*s + 6*s + 1687. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319*h**2 - 321*h**2 + 186*h - 270*h + 84*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4321 + 4327. Let u(y) be the third derivative of y**5\/30 - 5*y**4\/12 + 7*y**3\/6 + 4*y**2. What is u(k)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/17, -1\/8, 0.1, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 6*p**2 - 4*p + 7. Let i be d(-5). Suppose 0 = -3*y + x + 22, -10 = -7*y + 4*y - i*x. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sissausefiusu. What is prob of sequence ea?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 10*r**2 + 11*r - 33. Let o be ((-4)\/5)\/(36\/360). Let c be h(o). Solve -d + z - 1 = -3*z, d + 2*z + c = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -374498, -374156, -373812, -373466?\n\"Answer: z**2 + 339*z - 374838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 5*w + 2*w. Let s(l) be the third derivative of l**5\/30 + 7*l**2. Calculate b(s(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -87856 (base 12) to base 11\nAnswer: -112701","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is -82717215 divided by -21?\nAnswer: 3938915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.4186 meters in kilometers?\nAnswer: 0.5304186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhf when three letters picked without replacement from cffccpccfffshfcsh?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 9:41 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142 + -122. Let g(u) = -u**3 - u + 7. Let o be (0 - -9)*3\/(-9). Calculate the remainder when g(o) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66628\/(-24))\/(58192\/(-114)). Let p = z + -4\/3637. Let n = 475\/14 - 589\/14. Calculate the common denominator of p and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682420 + -3.1\nAnswer: -682423.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25522 times -0.1221?\nAnswer: -3116.2362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b + 6. Suppose -4*h = -4*m - b - 18, -3*h = -5*m - 30. Let z(y) = y**3 + 5*y**2 - 6*y + 1. Let p be z(m). Solve q + p = -0*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 144, 1034, 3440, 8118, 15824, 27314, 43344?\n\"Answer: 126*q**3 + 2*q**2 + 2*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 3:39 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccug when four letters picked without replacement from celeecllulceeekgke.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 2:54 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Let v be c\/10 + (-132)\/(-15). Let n(s) = s**3 + 5*s**2 - 8*s - 7. Let w be n(-6). Solve v + 6 = -f - 5*u, w*u = f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43 + 7*m + 22 + 23 - m - 2 + 2 + 2*m - 1 + 1 + (-2*m + 2*m - m)*(-2 + 3 - 2) + 5*m + 0*m - 3*m + 2*m + 2*m - 3*m.\nAnswer: 12*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z - 5*z + 19*z - 7*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 238 (b) -6 (c) 295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -366*c**2 + 45613*c + 17139. What is z(125)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 3*y**2\/2 - 2*y + 47. Let i be (6\/7)\/(1\/7). Calculate r(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11320.236 - -11349. Let l = 28.7404791 - h. Let f = l - -0.0235. What is f rounded to 6 decimal places?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2825, 5650, 8475, 11300?\n\"Answer: 2825*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c**2 + 5*c**2 + 2950 - 2965 + 7*c**2 to the form w*c + l*c**2 + q and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 71 (b) -1013 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 40. Let b be k(-22). Let d(q) be the first derivative of 3*q**2 + 4*q + 2. What are the prime factors of d(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*p - 73, -2*i - 46 = -3*p - 0*i. List the prime factors of p\/(-144) - 2425\/(-12).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110956798 is divided by 753?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8149 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -4, -20, -42?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -91 + 165. Calculate the remainder when k is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 + 2594180*v - 23347782 = 0. What is v?\nAnswer: -1297099, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*x + 21 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81881460?\nAnswer: 2, 3, 5, 43, 71, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64470 + 94554. Suppose 6*a + 17*a - b = 0. What are the prime factors of a?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2\/(-8) - 175\/(-560). Let m(b) be the first derivative of -1\/6*b**3 + 0*b + 1\/8*b**2 + 8 + h*b**4. Solve m(t) = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.870531s in days?\nAnswer: 0.0000447978125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152976\/11? (a) 61 (b) 4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 166033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/12 - 3*z**3\/2 + z**2 - 1. Let r(w) be the second derivative of o(w). What is the tens digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89925 divided by 75.\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1001111101001100001010 (base 2) to base 14\nAnswer: 4bd1d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2281 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 33 + 44*t**3 - 37*t**3 - t**2 - 5*t**2 + 5215*t - 5213*t in the form u*t**2 + k*t + y + i*t**3 and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 750.7 (c) 53 (d) -3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 35, -2, -118, 75 in increasing order.\nAnswer: -118, -3, -2, 35, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44179273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.84 - 0.14. Let o = t + -1. Which is the nearest to 0? (a) -1\/12 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, 6, -1 in ascending order.\nAnswer: -1, 1\/3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00044391 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 153049 and -0.07?\nAnswer: -10713.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:37 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 12*k + 132. Let d be y(-11). Put -1, -5, d in descending order.\nAnswer: d, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6891a6 (base 11) in base 16?\nAnswer: 10b7e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2628904 rounded to three decimal places?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3448116 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36\/24*176\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -22.5. Which is the closest to -1? (a) -16 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2*f = 8, 153*f - 19 = -4*n + 156*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b - 78. Let y be r(6). Let o = 236 - 80. What is the highest common divisor of y and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32396*u**3 - 13672*u wrt u.\nAnswer: 194376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or 167992?\nAnswer: 167992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5030997.\nAnswer: 3, 17, 23, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*10)\/((-18)\/(-48)). Suppose -3*t - 4*q = -c, -29 = -3*t + q + 56. What is the highest common factor of t and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.09350244 rounded to 2 dps?\nAnswer: -12.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/24 - 2\/(-12). Is h <= -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i**2 + 2. Suppose 4*h - 20 = 0, h + 3*h - 20 = -2*c. Let f(y) = 3 - 3*y**2 - 4*y**2 + 2*y**2 + c*y**2. What is -3*b(o) + 2*f(o)?\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-5 - -2)) + (1 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1\/78 (c) 3\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 + -104. Suppose -19 = 3*j + 8. Let o = k + j. Solve o = h + h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 10*y - 2. Let a(i) = -5*i**2 - 21*i - 4. Determine 3*a(n) - 7*j(n).\nAnswer: -n**2 + 7*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, -4, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*m + 5*g, 3*m = 6*g - 7*g - 3. Suppose 4 = -4*a, -c + m*c + 721 = -a. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + g**2 - 12 + g - 55 - g**2 - 63 to the form o + h*g**2 + d*g + s*g**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -12, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -9 - 2 - 10 - 8*t - 7*t**2 + 5. Differentiate r(c) with respect to c.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -387*x**6\/5 - x**3\/3 + 841*x**2\/2 - 46*x - 16. Differentiate g(i) wrt i.\nAnswer: -9288*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = 3. Let l be w\/(-3) + 3\/(-9). Find k, given that -1 + 1 + k + k**2 + l*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59890779 to the power of 1\/2, to the nearest integer?\nAnswer: 7739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + p - 2, -5*s - 11*p + 4 = -10*p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 4066349?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/2 (b) 34 (c) 0.156 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 12 = -3*o + 8, 0 = -5*o for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 138 and 0.0234.\nAnswer: 3.2292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1990669, 3981332, 5971995, 7962658, 9953321, 11943984?\n\"Answer: 1990663*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 36. Let u = 601 - -41. Let n be 4\/d + u\/8. Calculate the highest common factor of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 175?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/((-2860)\/198) - 14\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/18 and 83\/19503984.\nAnswer: 58511952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7*w = -3*o - 52866, 0 = -w - 2*o + 17607. Is 104 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3*a**(-17))\/(a**(7\/4)*a*a**(2\/7)) assuming a is positive.\nAnswer: a**(-477\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - c + 8602 = 0, -3*x + 5*c = -7*x + 17192. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2130.000000993 - -2130. What is b rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-12)*(-27)\/(-36). Solve -2*u + 2*m + 2 = 0, 3*u - v*m = -6*m - 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*d**4 + 11*d**3 - 7*d**2 - 9321 wrt d.\nAnswer: 20*d**3 + 33*d**2 - 14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/20 + 5*k**4\/12 - k**3\/6 - 2*k**2 + 54*k. Let s = -9 - -13. Suppose 5*t - 10 = 0, -3 = -s*w + 5*w - 3*t. Give c(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1505145080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o - 66. Let m = 4 + 13. Calculate the lowest common multiple of 20 and i(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 1, r: 3}. Give prob of sequence grgg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 = -5*c, -172*c + 25 = -177*c. Put x, -4, 3 in ascending order.\nAnswer: x, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 74*t - 2. List the prime factors of a(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -8. Let w be (1 + o - -3) + 1. Let y(r) = 10*r + 22. Let t(c) = -10*c - 22. Let k(m) = 4*t(m) + 5*y(m). Let i(j) = 4*j + 9. Give w*k(h) - 12*i(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 13. Find the third derivative of -6*m**4 - 4*m**4 + 3*m**2 - 5*m**2 - 4*m**u wrt m.\nAnswer: -240*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62077286\/7 = 8868183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a milligram in micrograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 330 - 258. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34391 and -9.\nAnswer: -309519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/48*(-5)\/(-70).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/25 - -59\/175. Let h be (-10)\/(-5)*(-3)\/15. Let b(u) = u**3 + 3*u**2 - 5*u - 4. Let t be b(-4). What is the nearest to h in -5, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d**3 + 214*d**2 + 181*d - 32. What is j(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h, 3*l - 1 + 7 = 3*h. Let f(b) = b. Determine f(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(162)*-1)\/sqrt(9))\/((-6*sqrt(72)*2 - sqrt(72) - sqrt(72))\/sqrt(8)).\nAnswer: -2*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159 and 220461927.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1305 - 2 - (-15 + 23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 - 3*l**2 - 233 + 233 - 267*l - 2568*l.\nAnswer: l**3 - 3*l**2 - 2835*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -619?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53132 is divided by 7586?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 21 - 3 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 36352, -4\/17 in increasing order.\nAnswer: -4\/17, -0.1, 0, 36352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 898.28614 to one decimal place.\nAnswer: 898.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1, 5, 10, -2, -4, 16556 in decreasing order.\nAnswer: 16556, 20, 10, 5, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/4)\/((-30)\/(-16)). Let r = -0.2371 - -231.3371. Let t = 231 - r. Which is the third biggest value? (a) f (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2542 - -2568. Solve 10*c + i = -14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137667215021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-135)*6*-2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131, 130, 129, 128, 127?\n\"Answer: -h + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 162561539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(39\/24 - 2). Let t = -7 + r. Suppose -4*c = l - 7, 4*c + 2*l - 32 = 6*l. Solve w = p + t, c*w - w - p = 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183583100 * 0.3\nAnswer: -55074930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09628768 to four dps.\nAnswer: 0.0963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q = -4*l + 23*q - 35, 0 = -3*l - 4*q + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 679*b**2 + 4*b + 4. Let o(c) = 2527918*c**2 + 14894*c + 14894. Determine -7447*m(s) + 2*o(s).\nAnswer: -677*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-140)\/(-32)*174\/15. Let q = -51 + c. Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -5*u, -4*u + 24 = 2*d. Suppose 0*r - 12 = -d*r. Suppose r*t + 2*o - 79 = 0, o + 64 = 3*t - 0. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -194*j**2 + j + 202*j**2 + 288*j**2. Let f be y(-1). Suppose -762 = -m - f. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 7)\/(-66 - 103600\/(-1568))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 23*k + 3546. What are the prime factors of s(104)?\nAnswer: 2, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641 (base 8) in base 16?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3014110331 + 0?\nAnswer: 3014110331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100011 + -10011?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + -3 + 95 - (3 + 0 - 12).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 + 9*c**2 - 5*c + 3. Let q be f(4). Let r be q\/(-4) + 15\/4 + 1. Solve s + 4*s + 5*h - 45 = 0, 5*h - 5 = r*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 37988.12 to the nearest ten.\nAnswer: 37990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 56\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (3 - (4 - -16) - (-1 + -4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1006 - 16*z + 1003 - 1998)*(3*z**3 + 0 + 0) to k*z**3 + u + r*z**2 + t*z + s*z**4 and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 + 4 = -p, 0 = 5*f + 5*p - 10. Factor -2*w**2 + 28*w - 12 - 12*w**3 - 11*w**4 - 10*w**2 + 19*w**f.\nAnswer: 4*(w - 1)**3*(2*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -424*t + 1697. What is z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.306 + -0.606. Sort c, 20, 2, -1 in ascending order.\nAnswer: -1, c, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**2 + v + 19. Let o(p) = -p**2. Give 6*o(y) + z(y).\nAnswer: 2*y**2 + y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 135 = 197. What are the prime factors of l?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t - v + 28, 4*t - 29 = -3*v. Suppose -2*o + t*x = -10 - 21, -30 = -5*o + 3*x. Solve -3*q + 2*z - o + 1 = 0, -2 = -4*q + 5*z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.018 in 4\/5, 0, 39, 669, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1. Let p(w) = 4*w + 5. Let a(o) = 2*c(o) - p(o). Calculate the least common multiple of a(-5) and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12728 - -7367. Let f = -5360.937949 - d. Let n = f + -0.062. Round n to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 + 2*j - 41. Give l(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/37)*c*c\/(c*c**(-3)))\/((c\/(c**(-1)*c))\/(c*c**(-3\/8))) assuming c is positive.\nAnswer: c**(1089\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (70\/21)\/(5\/15). Calculate the remainder when 42 is divided by 39\/h - 5\/(-50).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -922\/297?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(25 - -967)\/32*(3 - 5)\/2?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 4*y - 21 = 0. Let m(x) = 315*x - 3*x**2 - 62*x**2 + 3 - 314*x - 1. Let q be m(y). Round q to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4\/5 - 84*h**3 - 813*h**2\/5 + 2088*h\/5 + 2484\/5 = 0.\nAnswer: -138, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -167, 41\/5, -0.3?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0621 less than -0.5?\nAnswer: 0.5621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8123543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4))**(-1\/38) assuming f is positive.\nAnswer: f**(1\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**3 - 2*s**2 + 5*s - 12. What is the tens digit of c(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 3*h + 0*h. Let u(r) be the first derivative of 11*r**2 - 443. Determine p(u(m)).\nAnswer: 44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let k(r) = 4*r - 2. Suppose -5*h + 33 = 4*m, 4*m - 24 = 2*m - 4*h. Calculate m*z(b) + k(b).\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y + 8. Let b(f) = -f. Let r(x) = -5*b(x) + u(x). Let c be r(16). Suppose 2*a - 196 - 108 = 4*n, 2*a - c = -4*n. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 + 460. Let i = s + 409. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 7:06 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 132775673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3803133 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 53, 76, 101?\n\"Answer: n**2 + 18*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -354 - -354. What is the closest to m in 1, 2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 1 - 11. Let s(h) = t*h - 2 + 5 - 1 - 4. Determine s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 55 = o. Let u = -465 - -470. Find the third derivative of 6*j - 6*j - u*j**4 + o*j**2 - 20*j**4 wrt j.\nAnswer: -600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.5217 + 22.6207. Let i = -0.012 - -20.012. Let m = p - i. Round m to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(117))*-4)**2 - (sqrt(117) - (2 + (2 + sqrt(117))**2))) + -4.\nAnswer: 105*sqrt(13) + 2007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2286*t - 2593. Is r(7) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66752*b**3 - 5*b**2 + b + 3488844.\nAnswer: -200256*b**2 - 10*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at least -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/50)\/(82\/(-205)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -9, -4, 4, -7 in decreasing order.\nAnswer: 20, 4, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/5 (b) -2 (c) -2.28 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 2*x**2 + 4*x + 3. Is 6 a factor of r(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37116396 to the nearest integer?\nAnswer: 6092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-1 - -1) - (20 + (-52 + 30 - -11)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:36 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 2*m - 5*m**3 + m**2 + 0*m + 3*m**3 to the form r*m + o + a*m**3 + p*m**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n**3 + n - 3. Suppose -9*w + 12*w = -9. Let h(t) = -21*t**3 + 2*t - 5. Let z(f) = w*h(f) + 5*m(f). What is the second derivative of z(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1451144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + b - 3*b)*(b + 4*b - 6*b) - 4*b**2 + 42*b**2 - 17*b**2.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 0*c**3 + 0*c**6 + 0*c**5 + 1\/48*c**8 + 0*c - 1\/2*c**4 + 0 - 3*c**2 + 0*c**7. What is the second derivative of g(w) wrt w?\nAnswer: 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32.03013 centuries?\nAnswer: 320.3013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -l**5\/4 + 42*l**2. Let x(y) = -5*y**2. Determine v(x(i)).\nAnswer: -375*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -808, -1620, -2432, -3244, -4056?\n\"Answer: -812*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - 20*j**2 - 16*j**2 + 47*j**2 + (-j**3 + 3*j**3 - 4*j**3)*(3 - 2*j**2 - 3) - j**5 + 0*j**3 + 0*j**3.\nAnswer: 2*j**5 + 11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1795, -1821, -1845, -1867, -1887?\nAnswer: -1905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 f when four letters picked without replacement from {f: 2, w: 2, m: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:01 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:35 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.07, -2\/7, -0.5, 0.008?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -6. Let z = -11.39444932 - -0.39445212. Let s = m + z. What is s rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-72))\/(1\/15)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r*(r*r**22*r)\/r)))\/r**(-2\/7))\/(r**(-3\/8)*r*r**(3\/8)) assuming r is positive.\nAnswer: r**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 11 - 5 = 0, 2*x = 2*o - 2. Is 6 a factor of 51\/9 - o\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 13.7956.\nAnswer: -6.8978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*r - 2. Suppose -r*g - 3 = -3*g. Suppose -5*x + 8 = -g*x. Solve -x*n + 21 = 5*t - 6*n, 0 = 2*t - 5*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*((t*t\/((t**10*t)\/t*t*t)*t)\/t)\/t*(t*t**1)\/t)\/(t**(-4)\/(t**(-2\/5)\/t)))**(13\/4) assuming t is positive.\nAnswer: t**(-351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -1. Let j be (12\/28)\/(46\/(-14) - s). Is -1 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h + 1. Let w(s) = 3*s**3 + 4*s**2 - 24*s - 48. Let b be w(-2). Calculate v(b).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -198*o - 1970*o - 282*o + 173187 - 55587 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 6775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 240017?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*i + x + 1, 8 = 4*x. Suppose -21*g - 3*w - i = -24*g, 0 = 4*g - w + 1. Let l = 108 + -108.057. Which is smaller: g or l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2, 0*w + 22 = 3*w + 5*x. Let u(l) = 3 - 2 - 7*l - 4*l**2 - l**3 - l**2. Calculate the least common multiple of w and u(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**5\/15 - r**4\/6 - r**3 - 3614*r**2. Give n(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 19. Calculate the remainder when 158 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*z, 2*n + 424*z - 421*z = 3 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 18. Let j = -5 - t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 25176 + 25176.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -29*j - 46 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**7*j**(2\/3)*(j**1)**(-45))**(2\/67) assuming j is positive.\nAnswer: j**(-224\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -119, -274, -491, -770, -1111?\n\"Answer: -31*v**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1106\/(-79) + 73\/5. Let j be (-4)\/14 + 3\/(-14). Which is the second smallest value? (a) j (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 12. Let l be -5*8\/10*1. Let y(r) = -13*r - 3. Let k be y(l). What is the highest common divisor of s and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (22 - (8 - 2)) - -8.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f. Let g be j(-4). List the prime factors of ((-15)\/10)\/(1\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = -2*p + 3*p, 0 = 5*p + 4*i - 170. Suppose t = 6*t + p. Let l be 4\/10 - t\/(-15). Solve l*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4742 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-67.\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 - 251. Suppose -3*k + 9 = 2*f + 1, -k + 36 = 4*f. What is the lowest common multiple of f and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*k = -781*k + 391 + 13831 + 2842 for k.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 58126754, 58126752, 58126750?\n\"Answer: -2*a + 58126756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 543 times -303\nAnswer: -164529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 1)*(7*s**5 - 2*s**5 - 3*s**5) + (-s**5 - s**4 + s**4)*(1 + 0 + 0).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2118 by 5.\nAnswer: -2118\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12917599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 5*m - 5. Let o(t) = -t**2 + 2*t + 2. Let f = -7 + 10. Suppose -f*a + 8 = -10. Let d = a + 3. Determine d*o(w) + 4*h(w).\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13457785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 2*a = -4*n - 6, -5*n - 4*a = -6. Suppose 0*p = -n*p - 5*u - 187, 5*p + 451 = 4*u. Let y = -61 - p. What is the least common multiple of y and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -27 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, -3\/8, 0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 480 and 2784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 5192480*t**2 - 5192475*t.\nAnswer: -5*t*(t + 1)*(t + 1038495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 43 - 22. Solve 5*q = 2*b - 18, -5*b + 11 = -h*q + 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 3. Let y(q) = q**2 + 2. Calculate the least common multiple of p(-7) and y(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let g be 40\/25*(-10)\/4. Let d = -15 - -10. Let r(j) = -3 + 3 + j. Determine d*r(z) + g*y(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176455.49 rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 20 = 0, 4*p + 193 = 37*p + 4*p - 3*n + 5*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093065044 rounded to 5 decimal places?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 873\/660 - 672\/528.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 2*n**2 + 2*n - 1. Let j(d) = 4*d**3 - 9*d**2 - 9*d + 4. Let o be 186\/21 - (-2)\/14. Determine o*z(w) + 2*j(w).\nAnswer: -w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2697*i + 8185*i - 2707*i - 2769*i.\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -6720 (b) 6\/7 (c) 5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464 divided by 2.\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -126\/7873909?\nAnswer: -126\/7873909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052602654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*(-1)\/(-5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z + 1. Let g(i) = 5*i**2 + 6*i - 6. Let j(d) = -6*b(d) - g(d). Let u(q) = -50*q**2. Determine j(u(s)).\nAnswer: 2500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375865 divided by 4?\nAnswer: 2375865\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.88 + 0.8. Let g = -0.016 - u. What is g rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*n**2 + 34*n**2 - 3*n + n wrt n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -190474732 and -0.4?\nAnswer: 76189892.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17200 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.3 or 9686088\/11?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 371070 and 31455?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*y**4 + 4*y**3 - 245724*y**2 - 18934745*y?\nAnswer: 24*y**2 + 24*y - 491448","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/4 - (-26)\/(-8). Let w(v) = -10*v - 5. Let o be w(k). Let i = o + -2. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + 90\/6 - -7. Solve 9*o + t = -0*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 3, u: 1, h: 5, z: 2}. Give prob of sequence jluz.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3\/6 + 121*o**2\/6 + 19*o - 120 = 0.\nAnswer: -120, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by (-23)\/690*5 + (-367)\/(-6)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6*d = 16. Suppose 0 = -6*g + d*g - 34. What is the highest common divisor of 68 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 25*l**2 + 9*l - 39. Let i = 33 + -26. Is u(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.021 + -20. What is c rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5\/2 - 3*y**4\/4 - 87*y**3\/4 + 111*y**2\/4 + 81*y\/4 - 27 = 0. Calculate y.\nAnswer: -4, -1, 1, 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -811, -1617, -2423?\n\"Answer: -806*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 - -3.18. Let h = 8.8 - x. Let m = -5 + h. Sort m, 0.2, 5 in decreasing order.\nAnswer: 5, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6736 + 4?\nAnswer: 6742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 5*q**8\/28 - q**4 + 4*q. Find the third derivative of w(x) wrt x.\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -m - 2*o, 0 = 2*m + 2*m - o - 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 49*16\/224*(-10)\/(25\/(-5))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -18690.\nAnswer: 1\/2670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/2 of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025885076.\nAnswer: 2, 3, 7841, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + (sqrt(143)*1 - sqrt(143))*3)\/sqrt(11) + 1 + (-3 + sqrt(52)\/sqrt(4))**2.\nAnswer: -5*sqrt(13) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - h - 6, 0 = -0*a + 4*a - h - 12. Suppose 0 = -3*m - 6, -3*o + a*m + 21 = 2*o. Suppose -o*t = -22 - 47. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2163082601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 45124.\nAnswer: 315868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 358?\nAnswer: 3938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -6*(-1)\/(-2). Let d(o) = o**2 + 3*o**3 - 5*o**3 + o - 3*o + 1 + 3*o**q. Let i be d(1). Which is bigger: i or -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 1, -4, 11, -1.8, -37, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 13*r**2 + 15*r - 10. Let w be (-10)\/(-1)*(-2)\/(-4). Suppose 2*q - q - w = 0, 64 = 4*b + 4*q. Is l(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g*g\/(g*g**1\/g))*g**(-1\/40)*g**(-44))**(-46) assuming g is positive.\nAnswer: g**(40503\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13871, -17044, -22333, -29738, -39259, -50896?\n\"Answer: -1058*i**2 + i - 12814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 32 = -4*a, -3*h + 10 = 2*a - 8. Suppose i = -a*i - l + 332, 2*i - 166 = l. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1475251, -2950501, -4425751, -5901001, -7376251, -8851501?\n\"Answer: -1475250*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.39475632 to two decimal places.\nAnswer: 14.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z - 19 + 63 = 0. Suppose -2\/7*x**2 + 9\/7 + 1\/7*x**z + 12\/7*x - 4\/7*x**3 = 0. Calculate x.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - j + 2. Suppose r = -4*r. Let z be u(r). Suppose -h = -5*o + 72010, -z*o - 3*o = 2*h + 143990. Round h to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31555422\/118006343 - 6\/154661. Let m = 2\/109 + z. Put 0.4, 40, m, 1\/4 in decreasing order.\nAnswer: 40, 0.4, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/182)\/(39\/(-158184)*-26)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z + 3 + 0*z**2 + 0*z. Let v(p) = -p**3 - 6*p**2 + 8*p + 7. Let c be v(-7). Is l(c) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 8 = 0. Let f(b) = -g*b + 0*b + 3*b. Let o be -16 + 31 - 24\/2. Give f(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 14) + 26 + (1 - 2) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -17*v**3 - 6*v**2 - 4*v + 4. Suppose -p - 2 + 0 = 0. Let b be k(p). Let m = -247\/2 + b. Sort -6, -3, -0.4, m in increasing order.\nAnswer: -6, -3, -0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(30)\/(sqrt(10)*-1 - sqrt(10)).\nAnswer: -sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/5 + -46\/35. Let r(j) = -4*j + 2. Let v be r(2). Let m be -1*2\/v - 0. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8456 and 1624?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1150206, -2300409, -3450612?\n\"Answer: -1150203*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -365429497*f*x**2 + 3*f*x + 307*f + 83900*x wrt x?\nAnswer: -730858994*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -121 - ((1 - 1) + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -532*t**2 - 2661*t + 22. Let f(w) = -w - 2. Let y(q) = -9*f(q) + l(q). Factor y(j).\nAnswer: -4*(j + 5)*(133*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, p: 4, d: 7, e: 1}. What is prob of picking 1 p and 1 e?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*x + 1418 = 505*x - 21115 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 * 20894150\nAnswer: 605930350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*2*(-4 + 20\/8). Let b = 115 + -110. Suppose -b*a + 7 + 18 = 0. Solve w*j - 1 = a*i, i - j = 3*j + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -1, 4, -7, -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15 and -5105935.\nAnswer: -5105950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 12. Is t greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*1*sqrt(384))\/(sqrt(84)\/(1*sqrt(63))).\nAnswer: -60*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmvmhmmmmmmmm.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 + 15*b**3 + 204*b**2 + 644*b + 588.\nAnswer: (b + 2)**2*(b + 14)*(b + 42)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1. Suppose -2*a - 2*h = -30, a + 0*a - 21 = h. Suppose 4*w - w - a = c. Solve 3*p = -b + 3, 5*p - b - 7 = w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -1001c2a4?\nAnswer: -1001c2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-15)*-2*15\/(-12). Solve -16*y**2 - 4*y**4 - 2*y**5 + 4*y**z + 30*y**3 - 12*y**4 = 0 for y.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (2 - 5 + 1)*(-3 + 6 - 1) + 3 - 1 - 3 - 1 + 2 - 2 + 1 - 2 + 2 + 3 - 4 - 2)*(2 + 0*s + 0*s - s)*(-23 + 43 - 16).\nAnswer: 36*s - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlz when three letters picked without replacement from {z: 2, l: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4*4\/(-32)*(-14)\/(-8)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/3152 and 93\/8?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (39864\/473)\/(-12))*-1?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let s = -1146.8 - -1147. Which is the nearest to 1\/4? (a) m (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 59 + 23 + 59 - 4*l**3.\nAnswer: -4*l**3 + 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18084 is divided by 18064?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/3*-2*(-2 + 3). Let l(u) = -k - 33 + 96 + u**2 + 10*u - 22. Determine l(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 2*l - 5. Let z be h(-4). Let j be (-204 + 209)*3\/15. Solve -j + 7 = -z*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -20339?\nAnswer: -20340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (28471\/8094 - 3\/(-18)) + -4\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 16737 = 32*r. Let x = -614 + r. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 3723.\nAnswer: -43\/3723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 410, 5 in descending order.\nAnswer: 410, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 3*q + 18 = -2*k, -5*q = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943050.7ms in minutes?\nAnswer: 49.050845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:25 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1840616 and 2?\nAnswer: 0.3681232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345.365 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-18) - 2\/(-9). Let j = 0.02 - -1.98. Let w = -6 - -2. Which is the third smallest value? (a) j (b) w (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9592 * 7\nAnswer: -67144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50 (b) -0.2 (c) 4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {h: 15, x: 5}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2651698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 less than -1.2873?\nAnswer: -1.4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1695 + -1644. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 112.7 - 112.5. Let l = 44 - 133\/3. What is the nearest to n in -2, l, -1.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1175898 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2 = a, -2*t + 7*t + 2 = a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5014000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -223303 (base 4) in base 2?\nAnswer: -101011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -607*i + 2283. What is d(4)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 4*a - 1. Let r be j(-2). Let f = r + -3. Suppose 800000 = -f*w + w. Round w to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = 5*d, -3*y = -0*y + 3*d - 3. Suppose 500015 = z + 3*b, 0*z + 499975 = z - 5*b. Suppose -r = -y*r + z. Round r to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 98 in 19\/117, -4, -10?\nAnswer: 19\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 3, v: 2, p: 4, m: 1}. Give prob of sequence wvr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.85577 years in months?\nAnswer: 430.26924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -91732.\nAnswer: -1\/91732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55785.8 less than 253?\nAnswer: -55532.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -113305, -113036, -112767, -112498, -112229?\n\"Answer: 269*q - 113574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -104. Let g = -0.4 + -0.1. Which is the closest to i? (a) -3\/5 (b) g (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kksllkkkkkkklb. Give prob of picking 2 k and 1 l.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 709295 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - ((-25)\/((-8050)\/(-18382)) + 26)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6478 - 6469 + 42*p**3 + 4*p + 12936)*(2 - 3 + 2).\nAnswer: 42*p**3 + 4*p - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*s - 995 = 1202 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**2 + 13*w. Let g be q(-9). Let b(r) = r - 6*r + 9*r + g. Let t be b(0). What is t rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -3230 - -3225. Let d(f) = 3*f + 5. Let j(b) = -b - 3 - 1 + 2*b + 0*b. Let o(q) = 1. Let l(h) = -j(h) - 6*o(h). Calculate n*l(y) - 2*d(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 24*c**2 - 38*c + 151. Give j(-22).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1080 divide 162454040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1035102 or 1035101?\nAnswer: 1035101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3 - (11 - (-1 + 14))) + 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 1. Suppose -5*u = 0, 0*u = -2*q + 5*u. Suppose q = x - 2*a + 5, 5*a - 8 = 12. Sort 2, j, x in decreasing order.\nAnswer: x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3563425 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 2*b**2 + 3*b**2 - 6*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**3 + 438*l**2 + 398704*l + 795648 = 0.\nAnswer: -448, -2, 888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.2 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**4 + 2*s**3 - 8*s**2 + 1. Let z(o) = o**5 + 24*o**4 + 11*o**3 - 39*o**2 - o + 4. Let b(g) = 11*a(g) - 2*z(g). Let b(v) = 0. Calculate v.\nAnswer: -1, -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -179 + -483?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/73419405 and 123\/2082820.\nAnswer: 293677620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/8))**(-19\/6)*j**(-9)\/j*j**(-1\/13) assuming j is positive.\nAnswer: j**(-6041\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 430298516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*k - 5705 = 619*k - 1970 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 9*g + 9. Suppose -5*x - 5*i + 70 = 0, -2*x + 37 = 4*i - 1. Let j(v) = -5*v**2 - 4*v - 4. Determine x*j(m) + 4*y(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.99 - -20.39. Which is the nearest to -2? (a) 6 (b) h (c) -33 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**3 - 11*t**2 - 5*t + 1. Let w(d) = d**3 - 12*d**2 - 5*d + 2. Let f(o) = -6*j(o) + 5*w(o). Let h(r) = -r**3 + r**2 + r + 1. Give -f(y) + 4*h(y).\nAnswer: 3*y**3 - 2*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -150. Let y = c + 90. Calculate the greatest common factor of 352 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -8.\nAnswer: -8, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9950 divided by 398.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 25. Which is smaller: -2\/47 or t?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6945318 and 99630?\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*d - 106 = 0, -2*k - 4*d + 0*d + 68 = 0. Let j = k + -30. Suppose r + 2*r - 21 = 3*f, -2*r = -3*f - 17. Is j < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeceeeeeeece. Give prob of sequence ce.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54689083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785*w - 37507 = 23723. Solve w = 32*y - 19*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 305 or -497?\nAnswer: -497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*f + 0*f + 2*f) - 2 - f + 6 - 3.\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107, 254, 389, 506, 599, 662, 689, 674?\n\"Answer: -p**3 + 154*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52818948 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 270 - 294 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:58 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.3791 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379728?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256.5 + -252.5. Which is the nearest to -1\/2? (a) 1 (b) -3\/16 (c) 0.04 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeebbbbbeeeb. What is prob of picking 3 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 237. Suppose n + 1 = d + 5*a, 3 = -a. Calculate the lowest common multiple of d and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -269720850 by -42.\nAnswer: 6421925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = 0, 5*x - 10 = 5*d - 40. Suppose -2 = -2*k + d. Suppose 0 = 5*o - 4*b - 41, -2*b = k*o - 7*b - 30. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44344 and 3445336?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/9 + 146*h\/9 + 148\/9 = 0. Calculate h.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 + 2*o**3 - 16*o**2 - 24*o = 0. Calculate o.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 + 428*q - 204*q - 209*q = 0. Calculate q.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -1. Let m(j) = -j**2 + 6*j + 7. Let b be m(g). Let t = 15 - b. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*t = -z - 6, -11 = -4*z + 5*t. Sort z, -4, -2 in descending order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - 7.02. Let j = -4 - x. Let h(i) = -i**3 - 4*i**2 - 5*i - 6. Let s be h(-2). What is the second smallest value in -2, s, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 2*a**2 + 2*a. Is h(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/6)\/((-18)\/30)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a**5 - 280*a**4 + 2115*a**3 + 1105*a**2 + 140*a = 0 for a.\nAnswer: -7, -1\/4, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 - 556*(-6)\/30. Suppose 4*y = -2*l + 6*l - 148, 0 = -3*l + 4*y + g. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -6. Let j = -4 - k. Suppose -2 = -2*c + 2*i, -4*c - c - i + 11 = 0. What is the remainder when j is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1 + sqrt(7) + 3)**2*-1 - (5 + (sqrt(7) + 2*1*sqrt(7) + sqrt(7) - sqrt(7) - sqrt(7)))).\nAnswer: -28 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7181*x**6 + 4966*x**2.\nAnswer: 861720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 1:43 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -28121338, -112485336, -253091998, -449941324, -703033314, -1012367968, -1377945286?\n\"Answer: -28121332*a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 14. Let k = 10 - t. Let n be 61\/427 + 9\/(-14) + 1. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6700\/19 - -47641\/133. Solve -3\/7*d**2 + 6 - i*d = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-14) - (-9 + (-29415)\/21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 124 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14 + 12)\/(2\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46985116*z**2 - 33896509*z.\nAnswer: -93970232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7777744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(2448) - (2 + sqrt(2448))*-4) + -5)**2.\nAnswer: 144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-22)*u)\/u*u*u**4)**(-25) assuming u is positive.\nAnswer: u**425","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)*2*-3*-5)\/(sqrt(243) + (sqrt(243) - ((sqrt(243)*2 - sqrt(243))*5 - sqrt(243))) + sqrt(243)).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 23*g + 182 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 1. Let g(f) = -369 - 17*f**2 - 338 + 711. What is -g(c) + 5*h(c)?\nAnswer: 22*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -149c94?\nAnswer: 149c98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*u - 617*u = -5*z + 100, -4*u + 24 = 4*z. Solve 0 = -s - 3*a + z, 0 = -4*s - 169*a + 173*a - 28 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190\/3 - -64. Let k = -3.88 - 0.12. What is the nearest to 1 in -5, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 14 = -4. What is the tens digit of 13 - 0 - (f - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 17*m**2 + 12*m - 634. What is the units digit of z(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 3:24 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*p - 18*p - 35*p)*(12*p**4 + 5*p**4 + 2*p**4).\nAnswer: -1197*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1112100 (base 3) to base 6\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 410063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -802, -545, -116, 485, 1258, 2203, 3320?\n\"Answer: 86*l**2 - l - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/2 - 2335*l\/2 + 1168 = 0. Calculate l.\nAnswer: -2336, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/7 - 186*u**4\/7 - 18617*u**3\/7 + 179562*u**2\/7 - 287384*u\/7 - 485376\/7 = 0. What is u?\nAnswer: -79, -1, 4, 6, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14079351*f*n + 77885*n - 45 wrt f.\nAnswer: -14079351*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = k, 3*k + 7 - 20 = -5*g. Suppose -g = -2*p - 1. Let t(z) = z**2 - z**2 - 3*z**p + z**2. Let y(o) = -7*o**2. Calculate y(t(b)).\nAnswer: -28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 184, -2\/5, 27 in increasing order.\nAnswer: -3, -2\/5, 27, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20280 divided by -1.\nAnswer: 20280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4162\/6)\/((-3)\/(-333)). Let i be (-3)\/(12\/16) - -2. Let d be u + 3 - 0\/i. Round d to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -5*u - 105. Let i be ((-608)\/u)\/2 + 3\/5. What is the greatest common factor of i and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 2)*(-q + 0*q - q)*(4 - 2 - 3 + (-2 - 1 + 2)*(177 - 105 + 394)*(-3 + 1 + 0)).\nAnswer: 3724*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/3*-10. Let r(u) = -7*u - 114. Let v be r(-17). Suppose c + 2*q = 2*c + 6, -5*c = -v*q + 15. Solve -g + c = -k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 553, 0.3, -1\/7, 1\/4, -1\/2, -5, 0.084?\nAnswer: 0.084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 13 = -3*l, -182*l - 62*d + 449 = -179*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 6815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 5) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10, v: 4}. Give prob of sequence vvrr.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**3 + 20*g**2 + 12*g - 16. Let z = 0 - -1. Let t(q) = q**3 + q**2. Let c(s) = z*i(s) + 16*t(s). Factor c(m).\nAnswer: 4*(m + 1)*(m + 4)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zopbrkzbo. Give prob of sequence bp.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:41 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*y = -34 + 749 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 + 4)*(-x + x - x**2) - 150*x**2 + 247*x**2 + 29*x**2.\nAnswer: 112*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352561 is divided by 88139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -509230, 2\/3, -5, 0.4 in ascending order.\nAnswer: -509230, -5, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 196.29297 months in decades?\nAnswer: 1.63577475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u + 2. Let o be g(-2). What is the highest common factor of 24 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 858?\nAnswer: 9438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.29 + 1.29. What is the closest to -0.1 in -0.052, 1, m?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 4\/3, -49761, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 42 - 14 = -5*y, -2*y - 12 = 2*u. Let z(n) = n**2 - n - 1. Let j(m) = 2*m**3 + 5*m**2 - 5*m - 6. Give y*z(l) + j(l).\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 (base 9) in base 7?\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 560732 from -2.\nAnswer: -560734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 + 16)\/(-122*1). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-19\/3))**(-8)\/((n**(-48)\/n)\/(n*n*n**31)) assuming n is positive.\nAnswer: n**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/7)*u**4*(u**(1\/3))**17 assuming u is positive.\nAnswer: u**(197\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50 + 70. Let l = 52 + -38. Let g = z - l. Calculate the highest common divisor of 12 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(9\/(-21))*1. Let j be 2\/m - 426\/(-21). Let u = 6 + j. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.034 + -427.15.\nAnswer: -441.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 - -134. What is the lowest common multiple of 6 - d\/1*0\/9 and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5232.3, -0.5, -3, 2 in decreasing order.\nAnswer: 2, -0.5, -3, -5232.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -755, -757, -759, -761?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 34*i**2 - 97*i + 2087. Give c(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 698 divided by 2?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1109129*q - 1876909*q - 8662357*q.\nAnswer: -11648395*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 9*r - 7. Let f be u(10). Solve -n + 13 = -3*l, -f*n - l + 1 = 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55 + -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-20))\/((15\/9)\/5). Is h >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 17*c - 60 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 210315 or 210318?\nAnswer: 210318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-56)\/32)\/((-51)\/3954). Let q = r + -271\/2. Let d = 1 - 2. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(9) + sqrt(36)\/((sqrt(20)\/sqrt(5) - sqrt(4)) + sqrt(4)) - sqrt(9)) + sqrt(9)))\/((sqrt(108)*2 + sqrt(3))*6).\nAnswer: -sqrt(3)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 5*b**2 + 6. Let s be l(5). Let i(p) = -p**2 + 4*p + 8. Let x be i(s). Is ((-15)\/x)\/((-3)\/(-12)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*1\/(-20))\/((-7)\/35)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 0.34. Suppose 0 = 8*j + 18 - 42. Let h = 4 - j. Which is the third biggest value? (a) 5 (b) u (c) 2\/11 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9261*v**3 + 190*v**2 + 862*v + 80740.\nAnswer: -55566*v + 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4669*g - 30. Let s(c) = c. Calculate s(v(f)).\nAnswer: 4669*f - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*b - 27 = 0, 3 = -2*t - 4*b - 15. Let a = 9 + t. Sort a, -5, -2, 1 in decreasing order.\nAnswer: 1, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409604527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10102 - 2762. Is 20 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.1 - -34.33. Let h = p - -2.658. Let d = 0.73 - h. Round d to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.054?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 735826*c**4 - 2113682*c.\nAnswer: 8829912*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47739351.4000106 - 47739343. Let a = 8.4559 + -0.0559. Let l = n - a. What is l rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (78\/(-15))\/((-4)\/10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313.4925 + -313. Let g = n - 47.0325. Let r = g + 46. Round r to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*o - 13, 0 = -3*k + 5*o - 0*o - 1. Solve 2*p + 4 = k*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 2, 6, 1 in decreasing order.\nAnswer: 22, 6, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30991, -31705, -32419, -33133?\nAnswer: -33847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 11*r - 3. Determine h(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + 392\/(-189)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/8)\/(4\/8). Suppose -u*h = 2*v - 21, -4*h = 4*v + 16 - 52. Solve c + v*c = -14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (97 - 94) + (0 - 15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1452 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/2 + 839*s**2\/4 + 5381*s + 891 = 0.\nAnswer: -22, -1\/6, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.81 - 0.69. Let n = -68 + 64.5. Let w = v - n. Put 2, w, -0.3 in ascending order.\nAnswer: w, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*a = -5*a - 4, -3*b = -3*a - 6. Solve 0 = -b*w + 3*s, -3*s = 2*s - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 36*n + 36. Let i be r(-1). Suppose 9*y = -i*y + 2781. Are y and 309 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 2. Let d be x(-6). Suppose 0 = -d*k - 2 + 50. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14758\/3 + 4854. Let n = -251\/3 - p. What is the common denominator of n and 37\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -3*k + 4*z, 2*k + 5*z = -k + 32. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let c(k) = -4185*k + k**2 + 4185*k. Give c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o - 55*o + 3*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wweewwewwe. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/3*39\/156.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1\/4)\/n)**(41\/2)*n**(-2)\/n**2*(n\/((n*n**1)\/n*n))\/(n**(1\/6)\/n)*((n**(2\/5)\/n)\/n)**46 assuming n is positive.\nAnswer: n**(-7487\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s**2 + 8*s + 2*s - 2*s**2 - 2 to the form j*s**2 + v*s + h and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*z + 3 = 0, u + 3*z = -889 + 877 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + 2*l**2 - l**3 - l - l**3 - 6*l**2 as k*l**2 + z*l**3 + m*l + j and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211045901?\nAnswer: 11, 19, 41, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 h, and 2 k when four letters picked without replacement from kkhhihhkhkhiihhi.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 4*n = 7150 - 7165, 2*n + 9 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jan when three letters picked without replacement from hajnj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-412)\/(-18) - (-610)\/549. Solve -9*k + 21 + o = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 97*b**2 + 71*b + 152. Determine z(-2).\nAnswer: 398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/((u\/(u\/u**3))\/u))\/((u\/(((u\/(u**0\/u)*u)\/u*u)\/u*u))\/u*u**7\/u))**(-17) assuming u is positive.\nAnswer: u**85","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - -4.2. Let q = 4.9 - k. Is q bigger than -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-72))\/(-18*(-5)\/10)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13883563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -98*s**3 - 18 + 686*s**2 + 2*s + 7*s**4 - 1\/5*s**5. Factor q(d).\nAnswer: -4*(d - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 0.371895\nAnswer: -0.1115685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k**2\/8 - 11*k\/2 + 1\/2 = 0. Calculate k.\nAnswer: 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75703 (base 9) in base 6?\nAnswer: 1024050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 5*k + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4*c = -16, 0 = -2*c + 4*c. Sort -2, p, -5, 0 in increasing order.\nAnswer: -5, p, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13527, 27057, 40587, 54117, 67647?\n\"Answer: 13530*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39836967\/130 - -4116168\/13. Let w = -10179 + s. Find the common denominator of w and -77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.2, 4748\/285, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/13 - 210*w = 0. What is w?\nAnswer: -1365, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 49 - a - 77 - 90.\nAnswer: -a - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 92 - 57 - 58 - -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 + 14416*r**2\/9 + 143978*r\/9 + 14396.\nAnswer: 2*(r + 1)*(r + 9)*(r + 7198)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 5*p + p)*(-3*p**4 + 6*p**4 - p**4) - 7270*p**5 + 7018*p**5 - 3*p + 4*p.\nAnswer: -248*p**5 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/(-16) - (-397 + 0 - 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4658604 or -4658607?\nAnswer: -4658607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 4:56 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 2. Let l(h) = -2*h - 3. Let n(z) = 3*z + 2. Let r(k) = 2*l(k) + 3*n(k). Determine r(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2. Let p(r) be the third derivative of -r**4\/3 + 8*r**2. Determine t(p(y)).\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 - 168.00005. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 317071080 and 2?\nAnswer: 317071080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 h when three letters picked without replacement from {o: 1, h: 11}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 187*h**2 + 77*h - 77. Let y be x(37). Which is the smallest value? (a) y (b) -0.1 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**5\/3 + 20*i**4\/3 - 4*i**3\/3 - 256*i**2\/3 + 434*i\/3 - 196\/3 = 0. Calculate i.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*c**3*y + c**3 + 42*c*y**2 + 131652*c + 30*y**2 wrt y.\nAnswer: 8*c**3 + 84*c*y + 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -442.32 - -442.2. Which is the third biggest value? (a) 21 (b) -4\/7 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 + 313. Let k = c - 187. Solve 5*b - f = -13, 0 = k*b - 2*b + 4*f + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (52392\/(-185))\/((-8)\/820) a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -410.9433 - 0.0567. Let s = q + 356.1. Round s to zero dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*h**2 + 13*h**2 - 49*h**2 - 290*h**2 to j*h + t*h**2 + k and give t.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 10*l**2 + 13*l - 5*l - 805 + 816. Let o be q(9). Determine p, given that 2\/11*p**o - 12\/11*p + 10\/11 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21244, -21452, -21660, -21868?\nAnswer: -22076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*h = 14, 4*h - 3 = 1. Let u(m) be the second derivative of m**4\/12 - 6*m. Let s be u(6). Calculate the highest common factor of s and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + m = 6, -a = 2*a - 5*m + 10. Let x = a + 12. Find the first derivative of -2 - x - 1 + 2 + c wrt c.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 14 + 49 = 0. What is the remainder when 35 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 23\/12, 9, 86, 1\/3?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - 3*p**3 - 3*p**5 + (2*p**2 - 4*p**2 + 3*p**2)*(p**3 + 5*p**3 - 5*p**3).\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l - l, -2*l + 8 = i. Solve i = -2*r + 5*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 39. Suppose -4*f + 1 = -d. Which is smaller: f or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4827*p = 13075 - 539218 for p.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h - 9669 = -8161 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f**2 + 85*f - 1. Let v be g(-17). Let q be (v\/158)\/((-22)\/88). Is q > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4819876 - -14\nAnswer: -4819862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1846 + -5614\/3. Let a = 24 + g. Are 0 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*w = -73*w - 134. Suppose -1216 = -v - f + w, -3*v = -f - 3833. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-6) - 2\/(-3). Let x be (-1)\/(0 + u\/(-4)). Suppose -x*b = b - 30. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/(-35) - -12) + -22\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0 + 4 - 2 + 0 + (-1 + 2 - 3)*(3 - 3 - 2) - 2 + 0 + 4)*(-15071*b**2 - 1437*b**2 - 12990*b**2).\nAnswer: -176988*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 826 = -4*x - 2*h, -4*h - 844 = -4*x. What is the greatest common factor of 52 and x?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*-1 - (1 + -1). Let g = 41.08 - 41. What is the closest to -1 in -0.4, a, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -17, 2\/3, -4\/5, 1, -0.2 in ascending order.\nAnswer: -17, -4\/5, -0.2, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 90266, 361079, 812420, 1444277, 2256638, 3249491, 4422824, 5776625?\n\"Answer: -2*a**3 + 90276*a**2 - a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 8*g**2 + 3*g + 11. Let d be y(-4). What is the tens digit of (-1)\/(((-3660)\/(-1828) - 2)*d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**5\/210 + 79*j**4\/84 + 370*j**3\/21 - 1694*j**2. Suppose d(g) = 0. Calculate g.\nAnswer: -74, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:39 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*q - 24 + 151 = 0. Let n(u) = -u - 7. What is n(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-7 + (-5 - -17) - 14) + (11 - 4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6895*n**4 - 4*n**3 - 805*n**2 + 24914943*n - 3.\nAnswer: -82740*n**2 - 24*n - 1610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59147*c**2*w**3 + 2*c**2*w + 3*c**2 - 2*c*w + c - 3532*w**2 wrt w?\nAnswer: -354882*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nojqnnlnjlnqoojnnj. What is prob of picking 2 l and 1 o?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 44. Suppose -9 = -4*a + 3*u, -2*a + 1 = -u - 4*u. Suppose -2*v + 2*r = v - p, a*v = -3*r + 60. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, c: 3, z: 8, k: 4}. What is prob of picking 1 z and 1 o?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -117*r + 600. Determine y(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02394 * 62930\nAnswer: -1506.5442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 1. Let d(z) = z - 4. What is d(u) - 2*n(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 169*n**3 + 235 - 235 + n**2.\nAnswer: -169*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3 + 122576*c**2 + 961556820*c + 342686064600 = 0 for c.\nAnswer: -15135, -374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 13.98322?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -17) + -7 + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5752463.85500024 - 5752463. Let s = k + -0.855. Round s to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7941 and 102.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*j**5\/3 - 2*j**4 - 128*j**3\/3 - 146*j**2\/3 + 40*j + 152\/3 = 0. Calculate j.\nAnswer: -2, -1, 1, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -4, 1\/6, 20814 in ascending order.\nAnswer: -4, 1\/6, 105, 20814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 2*c**7\/105 + 8*c**6\/15 + 13*c**5\/3 + 19*c**4\/3 - 80*c**3 - 2*c**2 + 2*c + 179. Find l such that g(l) = 0.\nAnswer: -10, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2902, -2907, -2918, -2941, -2982?\nAnswer: -3047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -63. Solve -5*d + 2*w - 15 = 4, 0 = 5*d - w + v for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.4, -5\/3, -0.7, 13, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -48c?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -17*b + 9. Let m(o) = -26*o + 13. Let p(y) = 5*m(y) - 8*t(y). What is the remainder when 42 is divided by p(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 9*j - 30 = 5*u, -4*u - 8 = 0. Let t be j\/3*3\/(-2). Let o(i) = -i**3 + i**2 + i - 2. What is o(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3\/(k\/(k*(k\/(k\/(k**(-1\/15)*k)))\/k)) assuming k is positive.\nAnswer: k**(44\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 32?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6402 + 2*l**3 + 0*l**3 + 6402.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 105 - 101. Suppose -5*w = -m - 42, -2*m = 2*w - 3*w + 3. Calculate the remainder when (r*-5)\/(7\/(-14)) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 greater than -0.8251373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/22*6380\/(-6090).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 + 0.09053. Round d to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -95370.\nAnswer: -1\/31790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 6 + 8 - 36*h as s*h + r and give s.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 3*h**2 - 105*h + 92. Determine x(0).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*k**2 - 4*k**4 - 2 + 39*k**5 + 4 - 6*k**2 - 40*k**5 wrt k?\nAnswer: -60*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.3*-216\nAnswer: 1144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*v - 57 = 0. Suppose -21*c = -v*c. Solve -4*i - i + 20 = c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2548041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*i**3*y**3 - 2*i**3*y - 6*i**3 - 300*i**2*y**2 + 2*i**2*y - 21*i*y**3 + 10*y**3 wrt y.\nAnswer: -96*i**3 - 126*i + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*u + 621 + 330 = -14*u + 114 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*i - 138. What is the third derivative of -46*b**2 - 89*b**2 - 2*b**4 - 27*b**4 - 40*b**2 - i*b**4 wrt b?\nAnswer: -1008*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -151*n**2. Let r(c) = 79*c**2. Let u(h) = -6*g(h) - 11*r(h). Let p(q) = -9*q + 0*q + 4*q. Give p(u(t)).\nAnswer: -185*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 - 5*v. Let f(b) = b**2 + 4*b + 10*b + 5 - 4*b + 2*b. Let y be f(-11). Let o(n) = 2*n**2 + 4*n. Calculate y*o(s) - 5*j(s).\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 69?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -793, -791, -789, -787?\n\"Answer: 2*m - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = x, -2*i - 4*x - 14 = -5*i. Let t = -0.14 - -6.44. Let k = 6.7 - t. What is the nearest to i in 0, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*t**4 - 2*h*t**3 - 6*h*t - 53*h + 242*t**2 wrt t.\nAnswer: 12*h*t**2 - 12*h*t + 484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7444116*m**3 - 11807981 with respect to m.\nAnswer: 22332348*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*b**5 + 2002*b**4 - b**3 - 8*b**2 + 64809.\nAnswer: -5160*b**2 + 48048*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 478679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 86.53557 - 86.898. What is c rounded to three decimal places?\nAnswer: -0.362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -73*n**3 - 2126*n**2 + 437990*n wrt n.\nAnswer: -438*n - 4252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111 + -1?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -468065902 - 60.\nAnswer: -468065962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 32 = 5*a, 20 - 8 = a - 5*j. What is the third derivative of a*t**6 + 5*t**3 - 5*t**3 - 19*t**2 + 26*t**2 wrt t?\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -5, -20, -53, -19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1075, -2661, -5205, -9187, -15087, -23385?\nAnswer: -34561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*n**3 + 123*f**3*n + 2*n**3 + 126*n**2 wrt f?\nAnswer: -6*f**2*n**3 + 369*f**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 14. Suppose 7*f - 2*f = -40. Let a be (20\/f)\/(1\/2). Is p <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.763 + -0.74. What is r rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -23 - (0 + 2)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.28 - 0.3. Let g = -0.3 + -1.7. Let x be -2*(-1 - 1) + 140\/(-30). Sort g, q, x in ascending order.\nAnswer: g, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 92. Let h be b(-29). Suppose -c + 576 = -7*g + 3*g, -h*c = 5*g - 2905. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 21, -0.2, -49, 23 in descending order.\nAnswer: 23, 21, -0.2, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 times 0.5?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 2. Suppose 0 = 23*d + 27*d - 10*d - 360. Let k(v) = -11*v**2 - 8. Give d*n(h) + 2*k(h).\nAnswer: 5*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 1\/120*b**5 + 0 + b**2 - 1\/24*b**4 + 0*b + 0*b**3. Factor y(u).\nAnswer: u*(u - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 114155 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*z - 232 = 0, 11 - 3 = 2*z. Let v = -25 + a. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3 = 0, 2*h = 4*c - 2*h + 8. Let w be (-1)\/((-1)\/(-5)*1). Put c, -3, w in increasing order.\nAnswer: w, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3898*j = -0*h - h - 3905*j + 36, 5*h - 2*j = 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 22*h + 420. Let b be a(-19). What is the closest to 1 in b, 38\/11, -0.2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 - 87 = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/((-2)\/(10\/(-3))). Let k = -14 - -10. Let h = 0.6 + 2.4. Sort h, k, s in increasing order.\nAnswer: k, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - -1) + (1 - 3). Let v = 8 + m. Let n(x) = x**3 + 72*x**2 - 8*x - 572. Let a be n(-72). Solve 0 = a*k - v - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55730*19447.\nAnswer: -1083781310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*j**3*q**2 - 91*j**3*q + 102*j**2*q**2 - 1949870*j*q - 32399*q**2 wrt q.\nAnswer: -10*j**3 + 204*j**2 - 64798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h - 529 + 2739. Does -168 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 5:06 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/30 - 23*d**4\/12 + d**2 + 29. Factor f(z).\nAnswer: -2*z*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**3\/6 - k. Let d(f) = 12*f - 3*f - 13*f. Calculate p(d(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**4 + j - 5. Let q(g) = 3*g**4 + 3. Let s(c) = 3*h(c) + 5*q(c). Find the second derivative of s(x) wrt x.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -1\/3, -11, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 21*o**2 - 22*o - 38. Let q be x(-20). Suppose -46 = 3*k - 175. Let d(r) = -18 - k*r**q + 18. Let g(s) = s. Give g(d(p)).\nAnswer: -43*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4989, -1, 29\/3, 6\/11?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*24\/1080)\/((2\/(-50))\/((-80)\/(-100)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 13*f**3\/6 - f**2\/2 - 66*f. Let t(z) = 2*z. Give t(c(a)).\nAnswer: 26*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by -15.\nAnswer: -236\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 728322 = 152*n - 1863826. List the prime factors of n.\nAnswer: 2, 13, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 + 5*j**2 + j - 2 + 3*j**3 + 0*j**3. Let a be k(5). Is a\/12 + 81\/12 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 13*a**2 - a - 38. Let m be 61\/(-9) - 1 - (-46)\/(-207). What are the prime factors of v(m)?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**7\/48 - f**6\/240 + 7*f**5\/160 + f**4\/96 + 454*f + 1. Solve r(z) = 0.\nAnswer: -1, -1\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -492079742 + 492055727.4013. Let q = k - -24017. Let n = 2.39 - q. What is n rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3765489.\nAnswer: 3, 7, 13, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t**2. Let k(r) = 855*r. Give g(k(d)).\nAnswer: 19006650*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 143431 (base 5) to base 10\nAnswer: 6116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -431 - -434. What is the tens digit of (u - 9)\/((-18)\/1590)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7633 is divided by 4957.\nAnswer: 2676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + 6 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 177.0475ml?\nAnswer: 0.1770475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0.1. Let z = -223 - -225. What is the third biggest value in z, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31242.069 - -31399.068877. Let l = -3.47 + -153.53. Let j = l + d. Round j to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 7 - 1, -3*q + 4*k + 403 = 0. List the prime factors of q.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 23 = 29. Let o be 0 + -2*-1*15\/r. Suppose -3*n = -4*f + 74, -4*f + 110 = f + 5*n. Solve 0 = 5*q + f + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 544*n + 546*n - 40 = 0, 2*v - n = -24 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120, 560, 1002, 1446, 1892?\n\"Answer: t**2 + 437*t - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 9*v + 26. Determine t(-8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04825721396 + 1?\nAnswer: 0.95174278604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -222094*460\nAnswer: -102163240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43.471076 + 97.471009. Let l = 50 - -4. Let b = y - l. Round b to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6396, 6395, 6394, 6393, 6392?\n\"Answer: -i + 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9) - 26\/6. Let m = 4.3 - -0.2. Let p = m + 0.5. Which is the smallest value? (a) y (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -3 (c) 29.3 (d) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 1107*a**2 + 558*a**2 - 21 + 15 + 547*a**2 - 9.\nAnswer: -2*a**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-44)\/22?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.93, 5, -1\/3, 2, -0.4, 0, 1\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(0 + (-2)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + 7*t**4\/12 - 5*t**3\/6 - 3*t**2\/2 - t. Let x(j) = -j**3 + 8*j**2 - 1534*j + 9138. Let h be x(6). Give d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8401, -16828, -25287, -33796, -42373, -51036, -59803, -68692?\n\"Answer: -3*f**3 + 2*f**2 - 8412*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/4 - 11*d**3\/6 - 9*d**2\/2 - 8*d. Is f(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109 + -98. What is the remainder when 108 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120201122112 (base 3) to base 6\nAnswer: -30005322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2715 - 3106*o - 2714 - 17*o to j + h*o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 2 + (1 - 1). Let b be -1 + 6*j\/6. Suppose -b*g = g - 56. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 0 (c) 199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: aa02 (base 11) to base 15\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -2*u, 0 = -2*y - 3*u - 3 - 2. Let z be y*1*(-49)\/14. What is the remainder when 51 is divided by 4 + z + 8*2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16*h**2 + 22*h + 26. Let o(r) = r + 1. Let s(w) = -44*o(w) + 2*q(w). What is the first derivative of s(m) wrt m?\nAnswer: 64*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2)**(4\/11)*(a*a**(-6)*a)\/(a**(2\/19)*a) assuming a is positive.\nAnswer: a**(-839\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 2.5312.\nAnswer: 12.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(3*q - 4*q**3 - 3*q) - q**3 + q**3 + q**3 + (-1 + 1 + 2*q)*(-4*q**2 + 4*q**2 + 2*q**2) + (2*q - 2*q - 3*q**2)*(-16*q - 9332 + 9332).\nAnswer: 49*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 144, 181, 232?\nAnswer: 297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -6) + (0 - 3). Solve 0*r - 16 = 2*r + 2*w, -j*w - 4 = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/3 - 7*c**4\/3 - c**3 + 23*c**2\/3 - 14*c\/3.\nAnswer: c*(c - 7)*(c - 1)**2*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-3\/4)))\/(f\/f**(-2\/3)) assuming f is positive.\nAnswer: f**(-29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/20 and -22\/352797785.\nAnswer: 1411191140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 12:14 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h - 10. Suppose -v + z = 4, 0*v = -3*v + h*z - 22. Let t(l) = -l**2. Let k be t(2). What is the closest to v in 1\/5, k, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/14391, 8, 2\/15, -0.1 in descending order.\nAnswer: 8, 2\/15, 2\/14391, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 41. Is (i + 13384)\/(3 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9420 and 27066800.\nAnswer: 3140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 6a73?\nAnswer: 6a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.242 or 0.06?\nAnswer: 0.242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 29*g - 91. Let j be f(-25). Let 5*h**4 + 2*h**5 - j*h**3 - h**2 - 6 - 12*h**2 - h**5 - 6 + 28*h = 0. Calculate h.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 5*r**4\/12 + 125*r**3\/2 + 185*r**2 + 22*r + 3. Factor f(v).\nAnswer: 5*(v + 1)*(v + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3337814.943 + 3332938. Let f = c - -4971.9. Let k = -95 + f. Round k to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/5)*(185\/(-4625) + 4505\/125).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222567 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15526 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -64, -164, -372, -724, -1256?\n\"Answer: -6*v**3 + 14*v - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 25 - (-6 + (-2 - -5) + 0 - -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 5:58 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1801, -76393 in descending order.\nAnswer: 1801, 1, -76393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 4*z - 7, 24 + 3 = 3*k + 4*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14744591\/2 or 7372296?\nAnswer: 14744591\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39062280641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -25*i. Let d(l) = 415 + l + 411 - 1234 + 408. Determine -d(s) + j(s).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*a + 2, -4*t = -0*t - 4*a + 8. Let w(h) be the first derivative of 6*h**3 + h - 5*h**3 + t - 15*h + 2*h. Solve w(z) = 0 for z.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6473948 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of k**5\/20 - k**4\/3 + 5*k**3\/6 + k**2\/2 + 4*k. Calculate the remainder when z(4) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v - 1. Let y(w) = 1. Suppose 446*d = 451*d + 15. What is d*y(f) - 3*m(f)?\nAnswer: 3*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*d - 31*d + 8376222 + 8*d - 8376222.\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8\/(-12) + (-107)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118040)\/(-2773940) + ((656\/(-32054))\/(-2) - 2\/11).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4\/7 - 52*b**3\/7 - 1468*b**2\/7 + 3076*b\/7 - 1560\/7 = 0. Calculate b.\nAnswer: -15, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 0.0261?\nAnswer: 0.2739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 34*j**2 + 54*j - 330. Is d(25) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-5 - -10))\/((-4)\/(-22)). Suppose -v*o = -18*o - 48. Solve 2*j = -q - 13, 4*q - o + 4 = 4*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8172718, -8172745, -8172772, -8172799?\n\"Answer: -27*d - 8172691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 4*j + 10. Is 16 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + q**4 + 0*q**2)*(q + 0*q - 3*q) + 2*q**5 + 0*q**5 - 8*q**5.\nAnswer: -8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82*172\/(-28208)*4\/(-6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 119 + 2*i - 66 - 2*i + 3*i + i in the form j + v*i and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g. Suppose 9 = 4*i - 4*t + 1, 4*i + 5*t = 44. Let z(n) = -1 - i*n**2 + 2*n**2 + 1. Determine y(z(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3116 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(1008)) - (5 + -2*sqrt(1008)).\nAnswer: -5 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 18*o**2 + 11. Let h be g(-18). Let r be (-29)\/(-7) + h\/(-77). Let d(q) = 37*q - 21. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 minutes after 4:20 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22533 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 8 + 1 + -8 + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 63*k - 60786 = -498861. Calculate the highest common factor of k and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d - 4*d + 0*d + 126 - 2*d + 0*d.\nAnswer: -d + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g - 13*g + 336 = 0 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.236? (a) 3 (b) -3 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -950, -2138, -3802, -5942, -8558?\nAnswer: -11650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m - 36. Let p be 106\/m + -8 + 5. Is p bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1. Let j(p) = -8*p - 10. Let o(s) = 3*j(s) - 24*r(s). Let z be o(-2). Suppose 2*n - n = 2*q + z, -5*q - 45 = -n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 19*v**7\/280 + 13*v**6\/360 - v**5\/3 + v**4\/6 + 5*v**3\/3 - 25. Let u(y) be the third derivative of b(y). Factor u(p).\nAnswer: (p + 1)*(3*p - 2)*(19*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 8*p + 48. Is h(24) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -436?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3018 + -2123. Let m = p + -576. Is 29 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4 - 1. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 24 - 12 = -i + 9, -2*k + 435*i = 4336 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -53 + 51 + 134 + 51*w in the form c*w + x and give x.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, -0.0308, 6471\/7 in decreasing order.\nAnswer: 6471\/7, 3\/17, -0.0308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21*56\/(-196) + (-10)\/(-1). Solve 2*h + 2 = -k*m, 4*h + 9 = 5*m - 21 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m + 6. Let b(k) = -20*k - 23. Give 2*b(q) + 9*d(q).\nAnswer: 5*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from snssssssnnn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-1) + -4 + 7 + 25. Let q(b) = -10*b + 8. Let u be q(-8). Calculate the highest common divisor of w and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 1. Let p be q(4). Let c(d) = -6*d**3 + 4. Let s(j) = -1 - 63*j + 63*j + j**3. What is p*s(n) + c(n)?\nAnswer: -n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9.9965. Round i to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 574 = -2*t, 614 = -5*g - 2*t - 828. Let q = g + 875\/3. Which is bigger: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 2\/3, -0.3, -2\/11, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2351114 to the power of 1\/2, to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -18*b - 4. Let z(w) = -36*w - 7. Let o(k) = -7*h(k) + 3*z(k). Is o(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34561358 to three decimal places.\nAnswer: -0.346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2. Let i(w) = -750*w**2. Calculate i(q(s)).\nAnswer: -6750*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/900 - n**5\/100 - n**4\/30 - n**3\/6 - 6*n**2. Let i(r) be the first derivative of s(r). Solve i(z) = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 12:24 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 + 87 + (-1 - (-1 - 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (11 - (12 + -9 - -13) - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*z - 14 - 50 = 0. Which is the third smallest value? (a) 1 (b) -0.04 (c) z (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000142 (base 5) in base 7?\nAnswer: 253541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -573*y + 570*y + 6. Calculate the least common multiple of (3 - (y + -81)) + 25\/(-5) and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 26930 = -f, -190*s + 185*s + 80790 = -3*f. What is f rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 16. Solve a*s + s = -10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggagaggagg. Give prob of picking 1 g and 1 a.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-2) + (-161)\/(-14). Suppose d = -4*n - f, n = -4*n + 2*d - 28. Let y(c) = 2*c + 4. Give y(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 679446 = 679440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 19901772?\nAnswer: -1\/4975443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68392667 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 5*d**2 - d + 6. Let j be -5*(2 + -1)*-1. Let p be v(j). Suppose 0 = w - 0*w - 3. Put 5, p, w in increasing order.\nAnswer: p, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1*-1*(-267 - -330). Which is smaller: 61 or v?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -938432 take away 427?\nAnswer: -938859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/2 + w**3\/6 + 70*w**2 + 1. Calculate g(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 16. What is the closest to 3 in 1\/7, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/(-2*sqrt(4)) - sqrt(6))\/(sqrt(18)\/sqrt(54)))**2 + 5.\nAnswer: 91\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 d, and 1 b when three letters picked without replacement from {b: 4, w: 1, g: 3, d: 2, a: 1}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - 0. Let a = l + 0.2. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/(t*((t\/(t\/(t*t\/t**7*t)))\/t)\/t))*t*t**(3\/7)*t)\/(t**(-1\/3)\/t*t*t\/(t*t**(-1)*t)*t))**27)**(4\/11) assuming t is positive.\nAnswer: t**(-2448\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 bigger than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1580\/(-22))\/((-1)\/14). Let k = 1003 - x. What is the common denominator of -69\/8 and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31947210*y**3 + 640*y**2 - y + 15666 wrt y?\nAnswer: -191683260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 224*y + 65620. Give l(-293).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-594)\/(-154) - (-6)\/(-2). Which is the nearest to 0? (a) 1 (b) -0.1 (c) r (d) 1\/64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 957\/44 - 11 - (-10)\/8\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmmhhhhhmhh. Give prob of sequence hmh.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 73*z + 2. Let m be -3 - (2 - 3) - -4. Let d be ((-50)\/20)\/(m\/(-4)). Is v(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 844 + -518. Suppose 4*t - 1615 = -3*m, j = m - 3*t - 208. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9255.\nAnswer: 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*u + 20 = 0, 2*p + u = 19 - 7. Let c = -5 + 7. Suppose 4*o - p*m = -o + 21, 0 = -2*o - c*m + 12. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000702 rounded to five dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 2\/9 (b) 0 (c) -10 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 108*s**2 - 6*s + 16. Let k be t(2). Let z = k + -160. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -0.085015?\nAnswer: 0.414985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 m when three letters picked without replacement from mmnmnmm.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/42 - b**6\/4 + 2*b**5\/3 + 5*b**4\/4 - 15*b**3\/2 - b**2. Suppose w(z) = 0. What is z?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -87. Is 3\/9 + x\/(-3) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(-1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -47 - 4*c - 288*c**2 + 292*c**2 + 2*c. List the prime factors of a(-12).\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -963837 equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 + 3*k - 1. Suppose 12 = 5*c - c. Suppose 0 = -3*f - c, -2*f + f = -4*v - 15. Is q(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**2 + 3972*r - 54824 = 0.\nAnswer: 14, 979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2 + 4*l - 13. Calculate the remainder when h(-5) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 5*m**4\/12 - m**3\/6 - 2*m**2 + 12*m. Let x(f) = -f**2 + f. Let s(w) = d(w) + x(w). Factor s(j).\nAnswer: 4*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -3 (b) 159 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.548821ml?\nAnswer: 0.005548821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8602 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18760.0374ms?\nAnswer: 0.0002171300625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -280. Suppose -5*u = -3*v + 2*v + 16, 5*v + u - 54 = 0. Calculate the greatest common factor of v and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/(-2*1\/1) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 30\/119 and 5 + -1 + (-4000)\/2499 + 854\/(-366).\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:57 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.8 - 8. Let n = 4.2 + j. Let h be (-15)\/(-65)*4\/(-6). Which is the nearest to 0.2? (a) n (b) h (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*d + 14. Let k(u) = -u**3 + 21*u**2 + 66*u + 197. Calculate the remainder when k(24) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4653, -11266, -19763, -30144, -42409, -56558, -72591?\nAnswer: -90508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Differentiate -n - 3 - y*n + 2*n + n wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03372 * -2215.\nAnswer: -74.6898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 92516 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -19\/8, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/(-2) - 2)*2. Let q = 6 - d. What is the closest to -0.3 in -3, q, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c + 215. Let f be h(17). Is f at least as big as 137\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -18, -2, 2324 in ascending order.\nAnswer: -18, -3, -2, 2324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 30*z - 1. Let m be v(1). Let u = m - 5. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56\/3 + 19. Let s = 9.98 - -0.02. Let g = s + -8. Which is the nearest to 2\/9? (a) q (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61\/103 + -8987\/23175. What is the common denominator of n and -7\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let w = -1.41 + 1.11. What is the third smallest value in -1, h, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyawnwjq. What is prob of picking 1 n and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8689683 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*x + 3*m - 2*m, -2*m = 3*x + 31. Let t = 10 + x. Let h = -5 - -2. What is the closest to t in h, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by (10\/(-20))\/(2\/(-248)).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 - 14 = -3*l, 4*l - 65 = 5*j. Calculate the common denominator of 2*2*l\/220 and -5\/242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2016 and 7969584?\nAnswer: 47817504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -279, -825, -1379, -1947, -2535, -3149, -3795, -4479?\n\"Answer: -v**3 + 2*v**2 - 545*v + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b - 14. Suppose q = -3*q - 32. Suppose 0 = z - 5 - 13. What is the remainder when u(q) is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 4. Let v be c(7). Let q(z) = -v*z**2 - 751 + 2*z**2 - 129. Let o be q(0). What is o rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0*f**4 + 0 - 7\/20*f**5 + 0*f**2 + 1\/6*f**3 - 2*f. What is v(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26629 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: Solve -124*w = 182*w - 4896 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 8, -1490 = -5*c + 6*o - o. Suppose -2*q + 745 = 5*p + 3*q, -2*p - 3*q = -c. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - (sqrt(204) + sqrt(204)*2*1 + sqrt(204)))*1*-4)\/(1*-4*(sqrt(588) - sqrt(588)*-1)).\nAnswer: -3*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/150 and 1\/524325.\nAnswer: 1048650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247 and 1245.\nAnswer: 307515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-2 - -1) - 3. Let f(j) = -5*j - j**2 + j + 3*j. Let m be f(0). Sort m, 1, o.\nAnswer: o, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*18\/33. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2505)\/1002*(-10 + 869\/110).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)\/o**2)**4\/((o**(-2))**(-28))**48 assuming o is positive.\nAnswer: o**(-2728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p - 84*p + 21 = 0. Suppose 5*w - 4067 = 2*i, -2437 = -p*w - 6*i + 4*i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 8:51 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -625*u - 540 = 2585 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*j - 444 = -640*j + 1228 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 smaller than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j. Let r(o) = -17*o + 8. Let y(u) = -1050*u + 500. Let q(a) = -375*r(a) + 6*y(a). Calculate -21*h(c) - 4*q(c).\nAnswer: 15*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 + 6740*c**2\/7 + 26904*c\/7 - 80784\/7.\nAnswer: 2*(c - 2)*(c + 6)*(c + 3366)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 + -647\/5. Let j be 19 + -10 - (0 - (2 + -7)). Factor 0*p + 0 - 28\/5*p**j + 0*p**2 + q*p**3 + 4*p**5.\nAnswer: 4*p**3*(p - 1)*(5*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909 by -3.\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 5*c - 3. Let h(w) = -268 + 21*w - 37*w + 6*w**2 + 260. Give 3*h(i) - 8*v(i).\nAnswer: 2*i**2 - 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924 = 173*u + 166*u - 3297 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14321 (base 7) to base 16.\nAnswer: f5f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857*v = 839*v - 54 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/468 and 1\/403416.\nAnswer: 403416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701636 - 324155665\/462. Let w = t + -5\/66. Is -2\/3 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {p: 1, t: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64661.\nAnswer: 64661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**(-2\/37)\/(z\/z**8*z**(-5)\/z) assuming z is positive.\nAnswer: z**(479\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36030770081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(147\/707)*(0 - (-23)\/(299\/39)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xueexehvxkuxkh. Give prob of sequence vuh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 10:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/5 - 2024*f**2\/5 - 1616*f.\nAnswer: -f*(f + 4)*(f + 2020)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -9, -4*c + 10 = -8*d + 10*d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - n = 29, -2*n + 59 = 3*s + 2*n. Suppose -10 = o - s. Solve 0*j - 3*j = -6, m + 5*j = o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, 14, 31, 54?\n\"Answer: 3*j**2 + 2*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = 3*c, -2*s = -5*c + 2*s + 38. Suppose -5*r - 15 = -c*r, 0 = -4*b + 4*r + 12. Suppose -2*x = -b*x + 52. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-54) + 37100\/45900. What is the closest to m in 5, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 106389 + -212775\/2. Factor 15\/2 - 6*f - k*f**2.\nAnswer: -3*(f - 1)*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13958683 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(168))\/(sqrt(6) - (sqrt(150) + sqrt(150)*1 - sqrt(150))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.4 + -50.6. Let d = 32.6 + c. What is the biggest value in d, -4\/7, -0.2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-125)\/(-40))*(-4)\/3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5541*h**2 + 521*h - 81. Is r(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by 129?\nAnswer: -16\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = -2*w. What is the lowest common multiple of 2 and 2\/5 + 18\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-1176)*7*114?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -12 (b) 0.1 (c) 13 (d) 1 (e) 0.057 (f) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -349597 - -1167797. Round s to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 16*p + 2. Let g be s(15). Let h = -2 + g. What is the units digit of (204\/8)\/(h\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -2 (c) 8\/33 (d) -615.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 + -54.9. Let m be -1*-2*4\/(-28). Put r, -2\/9, m, -2\/21 in increasing order.\nAnswer: m, -2\/9, -2\/21, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -441403?\nAnswer: -441413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 5, c: 3, l: 4, z: 1, n: 6}. Give prob of sequence nmz.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.975 + -0.025. Let l = -39 - b. Do l and -1\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 30d6?\nAnswer: 30d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -222022101 (base 3) in base 5?\nAnswer: -1103210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400992?\nAnswer: 2, 3, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 926, 930, 922, 896, 846, 766, 650, 492?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3621035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 1 = 5*f. Let n be f\/2 + (-13)\/52. Suppose 0*g + 1\/4*g**3 + 0 + n*g**2 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6278 = 118*a + 24 for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2\/5 + 38*f\/5 + 68\/5 = 0. What is f?\nAnswer: -17, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18546, -21826, -27284, -34920?\nAnswer: -44734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10513597\/6 - 1758684. Let k = -6433 - d. Find the common denominator of 89\/40 and k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let i be c\/(-8) + (-5)\/2. Let p be i\/5*(9 - 34). What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -14. Let b(t) = t**2 - 4*t + 4. Let d be b(h). Differentiate 12*m**2 - 12*m**2 + d - 2*m**4 wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 23.27. Let i = n + -0.37. Which is smaller: i or 0.25?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 2*b**2 - 6*b**2)*(167*b**2 - 4*b**2 - 157*b**2 - 3*b + 1) in the form o*b**4 + a*b**3 + k*b**2 + q + r*b and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21219 - 6485 = -8*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13755b (base 13) to base 7.\nAnswer: -4010546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 73\/25494158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2339*v**5 + 23651*v - 21250*v + 902*v**5 wrt v?\nAnswer: 64820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18935\/3 - -6460. Let s = r - 148. Which is the closest to s? (a) 2 (b) 3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 28a + 628?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 q, and 1 m when three letters picked without replacement from {d: 1, e: 1, o: 5, r: 2, q: 3, m: 1}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 10:21 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 26*d**2 + 73*d + 10. Does 51 divide l(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o - 4. Let a(d) = 3*d + 2. Suppose -3*h + 21 = -7*j + 12*j, -3*h + 18 = 4*j. Give j*l(y) + 5*a(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01885 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491788680 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: Let l = -0.1 + 28.1. Let s = 0.5745 + -1.5745. What is the biggest value in 3, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-12))\/(10\/(-4)). What is the closest to 1\/5 in -20, m, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 290393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 6 + 8. Suppose 4*u = -k*p + 122, 6*p - 2*p - 258 = -u. Let m = p + 9. What is the remainder when m is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2531128 divided by -632782?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 989365654 to the nearest integer?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 + -48. Solve 0 = -s*c + 16*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 23*f**2 - 36*f + 8. Let w(o) be the first derivative of -35*o**3\/3 + 27*o**2 - 12*o - 1. Let r(x) = -7*q(x) - 5*w(x). Factor r(n).\nAnswer: 2*(n - 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527 + 336. Let x = -182 - o. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from {l: 3, m: 10, s: 3, x: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2322, -2324, -2326, -2328, -2330, -2332?\nAnswer: -2334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586631 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.01, -24, 1\/8, -47.07, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 10. Let m be a(10). Suppose m = 4*k - 16, 2*h - 6*h + 140 = -5*k. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*c - 48, -5*c + 2*c = 4*t - 29. Suppose 2*o + 768 = 4*u - 8*u, 360 = -o + 4*u. Let i = o - -392. What is the smallest common multiple of i and c?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 48 = u. Let y be ((-1)\/2)\/((-2)\/u). Let f = 1162 + -1158. Solve -b + 18 = -f*n, n = -0*b + 4*b - y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)\/(-3) - 239. Let f = 390 + q. Let b = 208 - f. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 519, 1740, 4115, 8028, 13863, 22004?\nAnswer: 32835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21790*n**4*y + 25*n**4 + 296*n*y - 277*n wrt n.\nAnswer: 261480*n**2*y + 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -14*m + 9*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxxn when four letters picked without replacement from jhxmnxmnmxm?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 7. Let t be z(-12). Let a(u) = -2*u - 140. Let k be a(0). Let b = k - -174. What is the highest common divisor of t and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*o - 2*o + 5*t, -4*o + 12 = t. Find the third derivative of 16*j**o + 29*j**4 + 4*j**4 + 13*j**2 - j**3 wrt j.\nAnswer: 1176*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116269855391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**6\/15 + 236*l**5\/75 - 206*l**4\/5 + 988*l**3\/15 - 361*l**2\/15 + 1113. Determine v so that c(v) = 0.\nAnswer: 0, 1\/3, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 >= 2201886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 8.7. Which is the second smallest value? (a) -5 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, 1, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(440)\/(1*sqrt(10)))**2 - (-2*(sqrt(11) - sqrt(11)*1) - (sqrt(11) + (sqrt(275)*-1)**2))*2)*-3.\nAnswer: -1785 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 0\/(-4))*-2. Let k be 1\/((-5)\/(-515))*(-1)\/1. Let m = -108 - k. Sort -42, a, m.\nAnswer: -42, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348028000 rounded to the nearest 1000000?\nAnswer: -348000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -596 + 969.8. What is j rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 2, d: 3, q: 1, j: 3, l: 1}. What is prob of picking 1 l, 1 f, 1 q, and 1 k?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**4\/2 + 72*t**3 + 2079*t**2\/2 + 2997*t - 20412 = 0.\nAnswer: -21, -18, -12, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 42*j. Let o(q) = -15*q. Calculate w(o(a)).\nAnswer: -450*a**2 - 630*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 44, 23, 929 in descending order.\nAnswer: 929, 44, 23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 + 1124*a**3 - 79520*a**2 + 78400*a = 0. What is a?\nAnswer: 0, 1, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6 - (122\/30 + -3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-30)*-6 - (-1 - -1). Let n(w) = 13*w. Calculate n(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(12\/11)\/f)\/((f\/(f\/f**(-1\/5))*f)\/f)*((f*f*f**2)\/f)**(-2\/15) assuming f is positive.\nAnswer: f**(-6\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*q**4 - 302*q**4 - 58*q**4 + (q**2 - q + q)*(-3*q**2 - q**2 + 2*q**2) as c*q**2 + z*q**4 + n + w*q**3 + x*q and give z.\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 69, 0.1, 0.12?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 118351087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.102 + 0.102. Let f = -536\/5 + 105. Let k = f + 13\/5. Which is the third smallest value? (a) k (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 7719*a - 53971. Give i(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h**2 - h + 2. Suppose -p - 1 = 0, 2*y + 0*p - 5 = p. Suppose 0 = 2*k - 3*k - y. Let q be r(k). Round q to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221200112111210 (base 3) in base 15?\nAnswer: 12e9a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -6. Suppose 2*k - 1 = 5. Solve -k*s + p = -d, s + 3*p - 7 = 2*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**7\/210 + 7*g**6\/40 + 19*g**5\/60 - 7*g**4\/8 - 10*g**3\/3 - 8*g**2 + 9*g. Factor b(q).\nAnswer: (q - 1)*(q + 1)**2*(q + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 128*j + 3519. Give h(40).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**5\/15 + k**4\/12 - k**3\/6 - k**2. Give b(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -312, 532, 1376?\n\"Answer: 844*d - 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + 3*c + 2*c)*(-c + 5*c - c)*(-8 + 11*c + 8) in the form r*c**2 + m*c**3 + s*c + q and give m.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from {y: 2, a: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-202 + 21*c + 202)*(-c**2 + 0*c**2 + 2*c**2) in the form d*c**3 + j + g*c + p*c**2 and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 229.1 + -289.1. Let d = -400.987 - -460.98701. Let k = b + d. Round k to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 - 13344341120?\nAnswer: -13344340402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 903*f**2 + 9546*f + 237265. Determine d(892).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (5 + 2)) + (44 - 74) - 16.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z**2 - 1066*z + 460*z + 606*z.\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681279048 a multiple of 4619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q - 128 = 0. Let n be 86\/(-5)*9\/q. Let d = 21\/80 + n. Find the common denominator of 23\/2 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n + 9. Let d be r(8). Let m(u) = u**3 + u. Let s(p) = 6*p**3 + 8*p**2 + 13*p + 7. Let x(g) = 5*m(g) - s(g). Let z be x(d). Is z <= 1\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + x + 4. Let y be v(0). Let m(j) = -y*j + 4*j + 4*j - j. Let d(c) = 4*c**2. Determine d(m(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - -19. Let v = r + 38. Suppose 0 = -s - 5*h + 41, -2*h - 3*h = 5*s - 105. What is the greatest common divisor of s and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94851769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19490.463 months in decades?\nAnswer: 162.420525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 29.2 and -0.06 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 49 and -681?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 v, and 1 i when four letters picked without replacement from xixpipivppi?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*k = -34719 + 160889, -2*k - 25221 = -u. Is u a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 755073\/891*(4 - 1). Do 2542 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 652 + -1952\/3. Put k, -3, -0.2, -1 in descending order.\nAnswer: k, -0.2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 9) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38553604929629519.9999817 + -38553601687665527. Let r = -3241964338 + m. Let g = r - -345. Round g to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1577\/57 + -28)\/(1\/3). Let f(q) = q + 8. Let t be f(6). Suppose -t = 4*u - 2. Put u, n, 4 in descending order.\nAnswer: 4, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-114))\/((-5)\/(-24))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 10*q**2 + 16*q - 123. What is the lowest common multiple of a(9) and 85?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24365 - 797\nAnswer: -796.75635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 g when four letters picked without replacement from luuuguglulgb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.136*-0.33\nAnswer: 0.04488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 1224, -44\/7, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1288, -1280, -1272, -1264, -1256?\n\"Answer: 8*u - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8c6 + -2?\nAnswer: -8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -6810 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37436831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/17 (b) 0.2 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 156, 120, 2, -234, -624, -1204, -2010?\nAnswer: -3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51662139?\nAnswer: 3, 17220713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**7\/30 - 7*p**5\/60 - 2*p**2. Find the third derivative of m(q) wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 11:02 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*k = -192, -2*k + 13 = -4*f + 367. Solve -f*y + 981*y**2 - 75 - 986*y**2 + 11*y = 0 for y.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -3*d**5\/20 - 6*d**2 + 13*d. Differentiate h(t) wrt t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 0.904.\nAnswer: -0.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 51 = -3*r - 2*z, -4*r + 2*z + 38 = 0. Solve -4*p + r = -0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-3) - 36\/26. Let i = h + -37\/39. Let y be 4 - ((-8)\/(-28) + 375\/84). Which is bigger: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -8. Let i = 3 - 3.1. What is the closest to i in 4\/3, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 5*f**3\/6 + 5*f**2\/2 + f. Let n be t(5). Calculate the greatest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (-26 - (-27 + 15) - (-3 + 1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 932 + -927. What is the closest to -1\/6 in b, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104034 + -157?\nAnswer: -104202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -5*k + 68, n = k - 0*k - 16. Suppose 0 = 4*v - k + 20. Let u(f) = 3*f + 1. What is u(v)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50303 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f. Let h(p) be the second derivative of 5*p**3 - 14*p + 1. Let c(z) = 4*h(z) - 9*m(z). Let a(g) = 4*g**2 + 4*g. Calculate c(a(b)).\nAnswer: 12*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-45)\/42) - (-2)\/10. Suppose -b*g - 2*g = -1920. Let v = g + -272. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2440 in 3, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 1, g: 5, z: 1, w: 1, e: 3}. What is prob of sequence wgeg?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 3. Let o = -10 - n. What is the nearest to -3\/5 in o, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -6858569974.5624?\nAnswer: -6858569974.3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (126\/(-147))\/((-3)\/3150) is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242) + -5 + (sqrt(242) - (-4*(-1 + sqrt(242) - sqrt(242)))**2) + sqrt(242).\nAnswer: -21 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66397 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-72)\/(-2)))\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 70.9. Let u = -4 + 4. Let i = u - 1. What is the nearest to f in -2, -1\/4, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8329 - 407 = -154*g - 28*g. What is the remainder when g is divided by ((-10)\/6)\/((-1)\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 3.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(18\/(-24)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (680\/(-30) + 8)*6\/(-4). What is the greatest common factor of w and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1012\/10)\/(118\/295) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 b, and 1 o when three letters picked without replacement from ooooooboooobko?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7017 divided by -661.\nAnswer: -7017\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/250 and -47\/7150.\nAnswer: 35750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + i**3 - 6*i**3 + 10*i**3 - i**2 + i**2 - i**3 + i**2 - i**2 + i**3 + (i**2 - 1 + 1)*(i + 5*i - 3*i))*(2*i - i + 2*i)*(-1 + 1 - 8*i).\nAnswer: -192*i**5 + 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (60\/(-120))\/(1 - 7\/6). Suppose -o*n = -l - 974, 3*n - 120 = 3*l + 864. What are the prime factors of n?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8, 3\/5, -2, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18014*w - 114. Let m(y) = -772*y + 5. Let p(f) = -3*b(f) - 70*m(f). Let q = 16 + -4. Let s be 1\/(-1) - q\/2. Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -132.0609\nAnswer: 198.09135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 2 + 6. Solve 0 - u = -l, r + 4*l = 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*p**2 + 1575*p + 18797 wrt p?\nAnswer: 14*p + 1575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5060 = 4*q - 5110, -4*q - 30 = -3*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -414871962*l + 583598541.\nAnswer: -414871962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + 2 + (15 - 12). Let r = -0.26 + -0.04. What is the closest to 3 in c, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*g + r - 4, -5*g = -4*r - 17. Let j = 190 - 182. Suppose 2*d + 1 = -3*p, -4*d + 3*p = -33 + j. Sort d, g, 15 in increasing order.\nAnswer: d, g, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -508584044 - 0.09\nAnswer: -508584044.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(121) - sqrt(121))*3)\/(sqrt(132)\/(sqrt(96)\/sqrt(8)))*3)**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.79 to 0 decimal places.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -9, -1\/3, -1.2, 9?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7*x\/(x*x**2\/x))\/(x\/((x\/(x*x**(2\/9)\/x))\/x))**4*(x**0*x\/x**(4\/9)*x)**3 assuming x is positive.\nAnswer: x**(52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -5. Let c be (-5 + b\/(-6))*(108 - 1). Suppose 0 = -8*s + c + 21. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4 + (0 - 1 - -133)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 914 a factor of 128236942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 9728\/(-828) + (-56)\/252.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*k - 1 = -8, -4*g = -2*k - 10. What is the highest common divisor of 32 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s + 9*s - 345 = 0. Suppose -s*t + 8530 = -5*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + 4 = q, 4*q + 2*u - 16 = 0. Solve 2*o + 4 = -c - c, c - 18 = q*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148*0.5\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 20 = d. Suppose d*x - 15 = 12*x. What is the highest common divisor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425937329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010799904 rounded to 6 dps?\nAnswer: -0.000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 6*k**2 - k + 4. Let i be r(6). Let y(q) = -q**3 - 2*q + 2. Let p(j) = 5*j**3 + 11*j - 11. Give i*p(w) - 11*y(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-4)\/(-3)) + -2 + 20. Let r be (12\/10)\/(h\/70 + 0). Solve -5*d = -r*i - 17, 1 = -3*i + 3*d - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/12 + 2*w**2. Let t(d) be the first derivative of 0*d**2 - 11\/3*d**3 + 0*d - 4. Determine t(u(g)).\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8 and 11\/530.\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1136, -4540, -10208, -18140?\nAnswer: -28336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 3:22 AM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2785*l - 824*l - 311*l - 78 - 821*l - 826*l + 78.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 2)*(0 + -4 + -36) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0.3, 953 in increasing order.\nAnswer: 0.01, 0.3, 953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - f + 12 = 0. Let b be (-1)\/1 + -1 - -15. Suppose b = -f*n + 55. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**3 + 2*y**2 - 9*y + 6. Let g be h(3). Let k be -16*(-12)\/g + (-10)\/65. Sort k, 5, -1\/4 in ascending order.\nAnswer: k, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 50*s - 51*s - u - 8, 2*s + 1 = 5*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 5*w**2 + 18*w**2 - 2 - 3*w**2 - 5*w**2. Suppose 0*y + 4 = -2*y. Let q be d(y). Solve -s - 2 = q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*g + 26, -5*w = -2*g + g + 21. Let o(f) = 27*f + 4. Let d be o(g). Let y = d - -170. What is the remainder when y is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4435279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:42 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k = -5*a - 1, -15 = -3*k + 3*a. Let -8*g**k - 2*g**5 + 5*g**4 - 4*g**2 - 13*g**4 - 2*g**3 = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**3 - 292*d**2 - 92*d + 223. Determine s(42).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txltpxjq. Give prob of sequence qjtx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8164 = 15*d - 2246. Let j(z) = z**3 - 8*z**2 - 3*z + 5. Let c be j(11). Let i = c - d. Round i to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from aababbaaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*i - 1057, -20*i = -17*i + 5*w - 784. Calculate the remainder when i is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6770 and 8801?\nAnswer: 88010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 3*n**2 + 33*n - 137. Calculate t(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249a (base 13) to base 14.\nAnswer: -1c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2 + 0)*8. Suppose 0 = -5*m - 3*o + 145, 0*m - q*o + 72 = 2*m. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3 + 3*-4*(0 + sqrt(76))*4 + 4)*-1)**2.\nAnswer: -960*sqrt(19) + 175129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 150*a - 10110. Calculate g(63).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**5\/15 - h**4\/6 - 4*h**3\/3 + 26*h**2 + 5*h. Solve j(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54037904.\nAnswer: 2, 29, 116461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13266 and 102102.\nAnswer: 20522502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93885246023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*-3*(-2)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 - -0.7. Let f = -31 + 29. Which is the closest to f? (a) -4 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 941684 and 7146.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 716*o**2*p - 2*o**2 - 1694*o*p - 2*o wrt o?\nAnswer: 1432*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -n. Suppose -u - n = -2*u. Let i be u\/(-4) - 4\/(-16). What is the biggest value in 0.4, i, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3439 + 10*f - 3*f - 1707 + 0*f - 1696.\nAnswer: 7*f + 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76\/7 - 215\/14. Calculate the common denominator of o and -71\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b + 10. Let m be k(0). Let x be (2 + (-3)\/(5 + m))*65. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/23060 and 109\/795570?\nAnswer: 1591140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -5*v**8\/42 + v**5\/4 + 26*v**2. Find the third derivative of l(g) wrt g.\nAnswer: -2400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44515 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 2 - 2. Let i(s) = -178 - 5*s - 195 + 373. Give -5*i(d) + 6*o(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 - 343?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -860 + 1284. What is the greatest common factor of f and 1378?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/20)\/(12\/(-264))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x - 3*l + 59772 = 0, 99628 = 5*x + 3*l. List the prime factors of x.\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4356 and 16495446?\nAnswer: 98972676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(15\/2)*t**(2\/9)*t*t**(-20)*t*t*t**(3\/7) assuming t is positive.\nAnswer: t**(-989\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 1b80?\nAnswer: -1b79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -154.245396.\nAnswer: -154.345396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 at most 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.109305 grams to tonnes.\nAnswer: 0.000006109305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 p, and 1 n when three letters picked without replacement from qxnnnnnpq.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/798 and 114\/45*((-528)\/640)\/11.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s**3 + 2*s**3 - 11*s**3)*(7*s - 3*s + s + (-3 + 1 + 0)*(s - 2 + 2 + (2*s + 2*s - s)*(3 - 6 + 1))).\nAnswer: -45*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2218, 2234, 2264, 2308, 2366?\nAnswer: 2438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4) + -1)*-3. Suppose -2*l + 27 = -5*x, l = 7*x - 2*x + 26. Let r be (0 - 1)\/(x\/15). Is r greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 0*w)*(w**2 + 2*w**2 - w**2) + 0*w**3 - w**3 - 2*w**3 + (-5 - 2*w**2 + 5)*(1 - 2*w - 1) - 238*w**3 - 246*w**3 + 300*w**3.\nAnswer: -179*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 799180075 to the power of 1\/5, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -7*v**3\/6 - 3*v**2\/2 - 21*v. Differentiate a(z) wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2159438, -4318887, -6478334, -8637779, -10797222, -12956663, -15116102?\nAnswer: -17275539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 + 552*a**3 + 86886*a**2 + 2955960*a + 28676025 = 0.\nAnswer: -255, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1e2a1f (base 16) to base 14\nAnswer: -396607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.035. Let r = f - 0.045. Let i = r - 0.44. What is the smallest value in 0.1, i, 0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 19. Suppose g*w = 2*i + 755, -4*i - 472 = -3*w + i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133602739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.68, 0.5, 0.6409, -1?\nAnswer: 0.6409","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -327?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*u - 2744496 - 24225009. Suppose 0 = -4*n + 2162033 + u. What is n rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009376 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*f + 8123 - 8123. Let y(l) be the first derivative of -14\/5*l**5 + 0*l**2 - 13*l - 1 + 0*l**3 + f*l**4. Find the first derivative of y(h) wrt h.\nAnswer: -56*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*f - 100 - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 19.16 (c) -4 (d) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 - 12.7. Let q = 36 - 36. Which is smaller: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3*(sqrt(72) + 0) - sqrt(72))**2 + (-3 + sqrt(72)*-1)**2.\nAnswer: 36*sqrt(2) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*d + o - 61, -475*o + 238*o - 13 = -3*d - 235*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0641 and 7.2?\nAnswer: -0.46152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4 = 3*c + 14, -2*c = -2*o + 8. Suppose -h = 2*h - o. Suppose -7*t + h*t = -260. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5633723 (base 8) to base 7.\nAnswer: -15635131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 403329587 and 0.31.\nAnswer: 403329587.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and 4647\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 12, 2 in descending order.\nAnswer: 12, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -4, -6\/11, -21, 11\/2?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 2*w - x, -2*x - 8 = 0. Suppose 0 = 4*i + 2*u - 28, 5*i - 32 = w*u - 3*u. Suppose v = 3*v - i. Solve -3*h + 1 = -5*l, 5*l - v = 5*h - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 - ((-2)\/(-8))\/(3\/12) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172521 - -7.\nAnswer: 172528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23871 is divided by 251?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**2 - 1. Let o be u(-1). Solve o*h - 6*h = -3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 0 - (13 - 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vetvvvests. Give prob of sequence vtt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-336)\/6324 + 4\/(-62). Which is the closest to 1? (a) 0.03 (b) 2\/5 (c) 2\/13 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -38.27652.\nAnswer: 11.482956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 7*i + 31, 347844*a = 347841*a - 3*i + 21 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 63801400, 127602801, 191404202, 255205603?\n\"Answer: 63801401*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/385 + 164\/385. Let z = 15 - 11. What is the biggest value in n, -3, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 72 = z - 4*z, 4*s - 3*z = 92. Suppose 0 = 2*q + 2*n - s, n = -4*q + 5*n + 80. Calculate the highest common factor of q and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*((-11)\/3)\/(3\/6). Let l(k) = -k + 1. Let a(b) = -b**2 - 11*b + 11. Calculate s*l(m) + 2*a(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*r = -12, 8*m + 26 = 3*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v**4\/2 + 2583*v**3\/2 + 4398*v**2 - 439614*v - 886464 = 0?\nAnswer: -19, -2, 18, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-482)\/24 - 4\/6 and (1 + 266\/(-8))\/(3 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3608079 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -34*w**3 + 2*w + 1. What are the prime factors of g(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*n**3 - 4*n**3 + 21*n**3)*(0*n - 15*n**2 + 0*n).\nAnswer: -555*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311581?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20380*r = -20391*r + 539 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38325, 153387, 345157, 613635, 958821, 1380715, 1879317?\nAnswer: 2454627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) 3 (b) -1\/131 (c) -18 (d) -4 (e) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 1.1. Let d = -55762\/11 + 55764\/11. Which is the closest to q? (a) d (b) 4\/13 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -18. What is the second derivative of 12*b + 6*b**c - 6*b - 18*b + b**5 wrt b?\nAnswer: 140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 242*m - 186*m**2 - 238*m - 420*m**2 + m**2 to the form p*m + o*m**2 + d and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 63.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*l = 51, -13 - 16 = -3*v + 2*l. What is the remainder when (-6329)\/(-9) + 6\/(-27) is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228 + -216. What is the first derivative of -31 - 43 + i + 2*i**2 + f wrt i?\nAnswer: 4*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - c - 3 = 0, n + c = -3 + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o*o**(1\/2)))\/o)\/o*o*o)\/(o\/o**(13\/3)*o) assuming o is positive.\nAnswer: o**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 4:39 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101466 (base 13) in base 12?\nAnswer: -18a9a57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Differentiate -3 + 3 - w**o + 5 wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 16 = -10. Let j(s) = s**2 - 9*s - 5. Let v be j(10). Solve -5*m = -v*p - 35, 2*p + 0 = -3*m + z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 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: What is the tens digit of 75749592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/6*231\/(-308).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 8:33 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 605598 and 210?\nAnswer: 3027990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(240)\/sqrt(8))\/sqrt(10).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 41*o - 359. Determine u(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3255, 3259, 3265, 3273, 3283, 3295?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 18 = 5*q, -33 - 3 = -4*s - 3*q. What is the third biggest value in 1\/4, -6\/11, -3, s?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.97 + -0.03. Let z = 487.9 + -530. Let g = 42 + z. Which is the closest to 1? (a) 1 (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 27*t + 1. Let w = 170 + -168. Let b(v) = 28*v + 2. Determine w*b(j) - 3*o(j).\nAnswer: -25*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-36) + (-14)\/(-21). Put 3, a, -68, -4 in ascending order.\nAnswer: -68, -4, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -3*x**4\/4 - 5*x - 1. Find the first derivative of b(k) wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = g + g, -2*g + 4*u = -22. Let b be (49\/g)\/(-1)*-3. Suppose -3*t + 145 = b. What is the greatest common divisor of 224 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b + 16?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Solve 2*b + 4 = l*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: c178 (base 15) to base 5\nAnswer: 2301323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 695.22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 216638 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/15)\/(2\/(-60)*2). Sort n, 1, 4 in descending order.\nAnswer: 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 0*k**2 + 0*k**2 + 5*k**2 in the form m*k + f + j*k**2 and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -44*q**4 + 72*q**3 - 46*q**2 - 26*q + 26. Let o(h) = 5*h**4 - 93 + 5*h**2 - 8*h**3 + 188 - 98 + 3*h. Let r(z) = -6*j(z) - 52*o(z). Factor r(p).\nAnswer: 4*p**2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1545524472 to the nearest integer?\nAnswer: 39313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1237, 4950, 11139, 19804, 30945?\n\"Answer: 1238*z**2 - z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkkwwkwkwwwwkkwwwkw. What is prob of sequence kww?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.025 - -0.975. Which is the closest to -0.1? (a) q (b) 7\/5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.999963 + -15. What is o rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 132*i + 136. Let n be g(67). Solve 0 = 4*j - a - 15, -n*j - 2*a + 0 = -10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 2:11 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53 and -3338906?\nAnswer: -176962018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t - 11. Let k(c) = -1 - 9 + 7 - 2 - 2*c. Give 13*k(o) - 6*m(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.22406 grams in milligrams?\nAnswer: 64224.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5)*n*n**(-4\/3)\/n)\/(n**(2\/21)*n**(7\/8)) assuming n is positive.\nAnswer: n**(-421\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 6 - 4) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 12:02 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2917 and 14039521?\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 + 147 - (-1 + 11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 1 + 1 - 2*f + 0*f + 0*f + (0 + 2 - 3)*(-f + 0*f + 0*f) + 2*f - 1 + 1 - 25*f + 17*f - 28*f - 13 - 6*f + 13.\nAnswer: -39*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22191120 = 22191130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 335972 and 1420?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = y + 13, 0 = 3*y + 5*w + 24. Is 25 - 4\/2 - y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69652345 is divided by 643.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 - 7*j - 133. Calculate the remainder when r(-12) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 40304?\nAnswer: -40234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451*y + 25885 + 19741 = -5890 + 10475 for y.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23414561?\nAnswer: 4241, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, -1, 5, 7852 in ascending order.\nAnswer: -1, 5, 83, 7852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14\/14*(-4)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4980 and 498?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 6617456\nAnswer: 5\/6617456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/98560 and -141\/222640.\nAnswer: 24935680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 5*s)*(2*s - s + s)*(0 + 0 - 2*s - 3 - s + 3 + (5 - 1 - 2)*(-2*s + 0*s + 4*s) - 2*s + 1 - 1).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 49410121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/189 (b) 0.1 (c) -79 (d) -4\/5 (e) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 885*h**2 + 554*h + 4. Let w(l) = 2654*l**2 + 1657*l + 11. Let j(d) = -11*g(d) + 4*w(d). Find the second derivative of j(q) wrt q.\nAnswer: 1762","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7))**36 assuming i is positive.\nAnswer: i**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 - 2*o**2 + 139*o - 247 + 81 + 86 to b + f*o**2 + v*o and give v.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(91)\/(sqrt(7)*1) + sqrt(143)\/(sqrt(33)\/sqrt(3))*-5.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.044 and 77648.\nAnswer: -3416.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 + 3*q**3 - 1 - 4 - 8*q**2 - 9*q + q**3. What is the units digit of y(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -14. Let j be (n - (-247570)\/25) + 2\/10. What is j rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -19*p**2 + 30*p + 111. Let g be f(-28). Let u be g\/(-25)*32000\/(-1). Round u to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11939941667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n**2 - 2*n. Let y(i) = 5*i**2 - 2*i - 1. Let j(m) = -4*x(m) + 3*y(m). What is j(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4221*c*h**4 + 7989*c*h**3 + 3383*c*h + 5261*c wrt h.\nAnswer: 50652*c*h**2 + 47934*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 - 115 = -16*i. Suppose 0 = -i*a - 273 + 3289. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 11709.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -885 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43691 (base 11) to base 6.\nAnswer: 1205235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230*u = 227*u + 480. What is the greatest common factor of 80 and u?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -54?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3*h**2)*((-4*h**2 + 0*h**2 + 6*h**2)*(h - 3*h + h) + 11*h**2 - 11*h**2 - 13*h**3).\nAnswer: -45*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 409, 422, 435, 448, 461, 474?\n\"Answer: 13*i + 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.8135598 hours?\nAnswer: 0.033898325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, d: 4, h: 1, v: 3, f: 3, z: 3}. Give prob of picking 1 f and 1 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*15*10*4\/100\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 - 7*k + 6. Let p be y(4). Let z = 11 + p. Let q(n) = 12*n - 1. Is q(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -3 - 7\/2*a**2 - 1\/60*a**5 + 1\/3*a**4 + 4*a + 0*a**3. Let c(d) be the first derivative of p(d). What is c(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95707074 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389302.\nAnswer: 2, 7, 242093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 64 = 2*v. Let n = -14 - v. What is the lowest common multiple of 13\/(-1)*682\/(-143) and n?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008805826 rounded to seven dps?\nAnswer: 0.0008806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 8) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 2:22 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 168654 or 11299738\/67?\nAnswer: 168654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 2*t**2 + 2*t + 2. Suppose -4*h - 2*s - 18 = 0, s - 4*s - 5 = -5*h. Give l(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -33bc58?\nAnswer: 33bc45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y**3 + 4*y**2 + 3*y - 3. Let s(p) = -p**3 + p**2 - p + 1. Let n(t) = 6*s(t) + 2*x(t). What is the third derivative of n(i) wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 9*a - 4. Let x(i) be the first derivative of -2*i**3\/3 - 85. Let b(d) = -2*q(d) - 6*x(d). Factor b(o).\nAnswer: 2*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**2*y + 53*k**2 - 107*k*y + k wrt y?\nAnswer: k**2 - 107*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a - 238 = -119*a - 37*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 13585?\nAnswer: 40755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 114 = -11*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.455 - -0.045. Let h = -0.83 + 0.9. Let d = h + -0.13. Which is the biggest value? (a) v (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.695\nAnswer: -0.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8664 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 e, and 1 u when four letters picked without replacement from {f: 6, u: 6, g: 1, e: 1, b: 5}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001000011100010001 - -111?\nAnswer: -11000001000011100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 12 - 5)*(-3 + r + 3)*(3 + 3 - 4).\nAnswer: 46*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -877.9?\nAnswer: 4389.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115972 and 112302.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/4 + 6055*i**3 + 84743*i**2\/2 - 30285*i - 1815975\/4 = 0. Calculate i.\nAnswer: -24213, -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(6))\/(sqrt(14)\/sqrt(28)))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - sqrt(32))\/((sqrt(24)*-1)\/sqrt(6)).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 45*i**2 + 85*i + 359. Let s be a(-7). Calculate the highest common divisor of s and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.63 - 0.703. Let d = -0.927 + y. What is the closest to -3 in d, -0.5, 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2771.49 - -2775.489925. Let n = 5.16 - 1.16. Let f = z - n. Round f to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3919*t**2 - 145005*t - 75. Calculate f(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5\/5 - 2*u**4\/5 + 2*u**3 + 2*u**2\/5 - 16*u\/5 + 8\/5.\nAnswer: -2*(u - 1)**3*(u + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6739*w - 6502*w + w**2 - 4*w**2)*(2*w - 4*w + 0*w).\nAnswer: 6*w**3 - 474*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - -1515?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r + 16. Let x be g(-5). Let s = -7 + x. List the prime factors of (0 - s)*(-19 + 26).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3736506821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-2 - 7)*(-3 + 0). Find the third derivative of -8 - i*x**2 - 8*x**3 + 64*x**3 + 8 wrt x.\nAnswer: 336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = r. Let b(z) = -45*z**2 - 26*z - 24*z - 45 - 22490*z**3 + 22500*z**3 + 5*z. Let c(u) = -u**3 + 4*u**2 + 4*u + 4. Calculate r*b(a) - 45*c(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/97? (a) 3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -223600 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjwwjjwwwg. Give prob of sequence wjww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 5*w + 1 - 8, -14 = 5*i + 2*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42857159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 1507*s**3\/3 + 1389*s + 3047. Find the first derivative of j(p) wrt p.\nAnswer: 3014*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -24*i + 2. Let r(w) = -1079*w + 91. Determine 91*a(l) - 2*r(l).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -19*u**3\/6 - 2*u**2 + 1112*u. What is w(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h. Let p(j) be the second derivative of -j**4\/12 - 5*j. Give p(k(s)).\nAnswer: -256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -42*z**2 + 108*z. Let i(h) = 15*h. Determine c(i(g)).\nAnswer: -9450*g**2 + 1620*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-18))\/(3*(-77)\/126)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (67 - 9) + 4 + -23 - 14\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -472.982119 to the nearest 10.\nAnswer: -470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4940 and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-36)*3*(-20)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 22*l**3 - 44.\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/19 - 196*q**4\/19 - 4264*q**3\/19 + 43600*q**2\/19 + 840000*q\/19 = 0. What is q?\nAnswer: -50, -12, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10314011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(3*(50\/15)\/5))\/(-17)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*n + 2*n - 9*n)*(8*n - 11*n - 25*n)*(2*n - 3*n + 2*n) as z*n**2 + r + x*n + q*n**3 and give q.\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/494 and -99\/76.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 3:04 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 712*z. Let b(d) = -21*d. What is u(b(r))?\nAnswer: -14952*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 5*j + 65 = -17*h + 6*h, -5*j - 33 = 3*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*w + 5 = 1, 3*w = 5*v - 25. Is (314\/v)\/(1\/4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*((-2)\/4)\/(135\/(-27))*1170\/72.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27461 + 49372. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5676d2 (base 14) to base 10\nAnswer: 2940184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214233 = 5*s + 3*p, p - 72347 = 3*s - 200870. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, -387, 1\/1571?\nAnswer: 1\/1571","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7529441029 to the nearest integer?\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -98, -174, -246, -320, -402, -498?\n\"Answer: -p**3 + 8*p**2 - 93*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3273 - 2020. List the prime factors of y.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4189641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76.9 - -76.8. Sort 1\/6, x, 0.2 in descending order.\nAnswer: 0.2, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.43, -9, -8, 1\/6, 0, 1\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8*0*(-6)\/30. Solve 0 = 5*o - x + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203 - 426 - l + 1941 - 5*l**2 + 2256.\nAnswer: -5*l**2 - l + 3974","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 23 = b, -2*t = -23271*b + 23276*b + 180 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**6\/10 + c**5\/20 + c**4\/6 + 34*c - 4. Factor o(f).\nAnswer: -f**2*(f - 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 23192164\nAnswer: 6957649.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 1. Suppose 2*t - 2 = -4. Let b be a(t). Suppose s = -3*s + 168. Calculate the highest common divisor of s and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4*j*j**(-1) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 21*h**2 + 4*h + 13. What is the remainder when a(21) is divided by 90?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1230 divided by 15.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7917.561 millennia to decades.\nAnswer: 791756.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 4. Let g(n) = -7*n - 7. Let r(b) = -3*g(b) + 5*p(b). Let l(f) = 1. Let a(m) = -l(m) - 2*r(m). Let h be ((-5)\/3)\/((-1)\/(-3)). Determine a(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d**2 - d - 4. Let y = 277 + -272. Does 13 divide s(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*w = 3*s - 2640, s - 1332 = 2*w. List the prime factors of s.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 498434286 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 6*k**2 - 3*k - 10. Is b(7) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142951205.3 rounded to the nearest 100000?\nAnswer: 143000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12307*u**3 + 4139*u**3 + 4121*u**3 + 4017*u**3.\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1, 3.3, -0.3, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 28*j + 24528. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329621456 and 592?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/609628 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2879445*j**3 + 13536494 wrt j?\nAnswer: -8638335*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -1 in ascending order.\nAnswer: -4, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 164*a + 6. Let m(z) = 109*z + 4. Let b(v) = 5*j(v) - 7*m(v). Is b(1) 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 2463685989 to the nearest integer?\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*8\/(-40)*40\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 13, 2, -29, -86?\n\"Answer: -l**3 - l**2 + 13*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**2 - 4*o + 4. Let r be f(3). Suppose -6*l + r = -1049. What are the prime factors of l?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -280 less than -281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + 648\/45 + -8. Find u, given that -w*u**2 + 16\/5*u - 6\/5*u**3 - 8\/5 = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 20 - (12 + 2 + -4 + -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**2 + 11*v**3 - 2 + 23*v**2 - v - 5*v**2 to the form g*v**2 + c*v**3 + j*v + r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1065452 is divided by 1454.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 83529468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-17)\/(((o\/o**34)\/o)\/o)*((o**(-5)\/o)\/o)\/(o*((o*o*o**(-15))\/o)\/o) assuming o is positive.\nAnswer: o**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132685?\nAnswer: 5, 19, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 take away 359.7?\nAnswer: -110.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -4.2, 153 in descending order.\nAnswer: 153, 29, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 5*y - 11, 0 = 2*y + y - 3. Let u(o) = -n*o + 2*o - o. Let x(c) = c**2 - 3*c**2 + c**2. Give x(u(q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2530 - -2651. What is the lowest common multiple of 88 and k?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/15 or 52?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 627163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819680497?\nAnswer: 1487, 551231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65486182.\nAnswer: 2, 971, 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -14. Let s = 4 + -1. Let p = -84.1 + 82.1. What is the third smallest value in p, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g + 2*g**3 - 2*g**2 + 3*g - 3*g + g**3 + 5*g**3 + 4*g**3 - 5*g**3 + (-5*g**3 + 2*g**3 + 7*g**3)*(2 + 0 + 0).\nAnswer: 15*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/113 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 86 + -10 + 32 - 184\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*b = -39, -24*b = -4*y - 27*b - 30. Put 19, y, -51 in ascending order.\nAnswer: -51, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -33*w + 27. Let h be r(-10). What is the greatest common divisor of 68 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by 4.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38127 - 1c9?\nAnswer: 37f5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -13 - -49 - 22.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 45903 and -183.\nAnswer: -8400249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011010 (base 2) to base 3.\nAnswer: 201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150779001*n**3 - 710886*n**2 - n - 10?\nAnswer: 904674006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 132946 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1809 or -1813?\nAnswer: -1809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:25 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 10) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 365.5551 days?\nAnswer: 31583960640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-6 - (0 - 10)) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a - 11*a - a)*(0 - 2 + 3)*(2*a - 3*a + 0*a).\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t - z - 308 = 0, 2*z = -8. Let w = 117 + t. Is w a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 72. Let c(o) = o - 96. Let n(q) = -3*c(q) - 4*f(q). Let k(p) = 1651*p. Determine k(n(s)).\nAnswer: -4953*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -11*c**5\/6 + 35*c**4\/24 + 5*c**3\/3 + 15*c**2. Factor m(y).\nAnswer: -5*(2*y - 1)*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -45, -63, -83, -105, -129?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 10*o + 129. Let p be g(-18). Let b be (-4 + -593)*(-1)\/3. Let v = p + b. List the prime factors of v.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46606 and 574?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5281?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d. Let k be 5 + -3 - (-2 - -2)*-1. Let i(p) = k*p**2 + 7*p**2 - 7*p**2. Determine h(i(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 - 3)*(-1 + 1 + 1)*(-2*o + 0*o + 0*o).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2792 and 416.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 223 + 21 - 235)*(5 - j - 5).\nAnswer: 4*j**2 + 437*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76529702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - (-2 + 2))*(-4)\/(-8). Let r be -3*1 - (2 - (73 + o)). Let l = r + -55. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = k. Let n be (0\/k)\/(1 - 0). Suppose 3*z = -n*z + 30. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2075876323.\nAnswer: 2971, 698713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -0.4, -13.9, -2, -0.14 in increasing order.\nAnswer: -56, -13.9, -2, -0.4, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let h = 14 - 9. Suppose 3*g + 16 = -h*m, 4 = -3*m + 2*g + 2. Let s(n) = 2*n + 2. Let o = 3760 + -3755. What is m*s(t) + o*r(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {q: 5, p: 7, f: 8}.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 1269, 4 in increasing order.\nAnswer: -2, 4, 7, 1269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -70 - -119. Let a = p - -82. What are the prime factors of a?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 - 11?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by 51\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 - 135. Let b = h + 80. Solve -8 = -b*x, 4*x - 12 = 5*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - c + 2. Let q be z(1). Suppose -3*j = 5*r - 165 - 175, 0 = -r - q*j + 68. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 = j, -2*u + 26 = -2*j + 22. Solve u*k + 2*h + 2 = 7, -4*k = -2*h - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 939 - 862 - (4 + 28)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let a(o) = 2371*o + 1714*o - 1054*o. Calculate g(a(d)).\nAnswer: 6062*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c. Let w be u(1). Suppose -w*g = -4*g. Suppose g = p + p. Solve -4*j + 6 + 0 = -2*v, v + j + 6 = p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3033300 (base 4) to base 3.\nAnswer: -200020110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 4*o - 1287. What is the hundreds digit of d(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 28*w + 123. Calculate d(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + (-6 - ((11 - -1) + 129 + -139)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + x = -23376017 - 203723977, 5*x = -5*j - 567749970. What is j rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4445 (base 10) to base 9\nAnswer: 6078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 10*i**2. Let f(c) be the third derivative of c**5\/10 - 17*c**2. Determine p(f(g)).\nAnswer: 360*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**4\/4 + 2*b**3 - 7*b**2. List the prime factors of z(11).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-20) + 1\/(-2)*-49. Let j = -28 + v. Put 1, j, 17 in decreasing order.\nAnswer: 17, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 91?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 3453522, -5 in decreasing order.\nAnswer: 3453522, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/27 and 139\/72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 9 - 3) + (-1 - 3) + 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 6*y - 49. Suppose -y*t = -24*t + 650. Let g = t + -167. List the prime factors of g.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 8*r = -12*q - 40, -3*q = -5*r - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - u + 19 = 0, -31 = -3*l + 10655*u - 10654*u for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1070)\/(-70) - (-4)\/(-14). Let r(p) = -9*p**2 - 14*p + 49. Let a be r(u). Let i be a\/(-10) + 2 + 24\/60. Round i to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 182 (base 12) to base 8\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/133*(44\/66)\/((-2)\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((-4 - -2)\/1). Let h(k) = 542*k + 8. Let n be h(y). Round n to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/12*(4\/(-3))\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2 + 8*f - 6 - 10. Let j(l) = 6*l**3 - 23*l**2 + 21*l + 1. Let b be j(1). Is 13 a factor of c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74031 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11556 and 3?\nAnswer: 11556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17126631 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 7. Let d be x(5). Suppose -3*t + 40 = -5*p + d*t, 34 = -3*p - 2*t. Is 10 a factor of ((-40)\/6)\/(p\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*d = 10, -4*y + 4*d + 5 = -19. Suppose -k + 1 = -t + 7, y*t - 4 = 2*k. What is the least common multiple of 3*3\/(-18)*k and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxy when three letters picked without replacement from {y: 3, x: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1003, 972, 941, 910?\n\"Answer: -31*x + 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 985.8.\nAnswer: -1971.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-6))\/((-2)\/(-4)*-2). Which is the closest to -3? (a) -2 (b) 0.2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -701*25\/(-2505) + -7. Is p > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166 and 2075?\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-37)\/(-2035))\/((-41)\/1 + 40)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3387 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 154 = h, -h = -4*t - 156. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6853912ug in milligrams?\nAnswer: 0.0006853912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 7. Let v be n(6). Let m = -4 - -6. Which is the nearest to 0? (a) v (b) m (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*(-4)\/(-9 - -1). Let q(c) = -48*c - 51. What is the units digit of q(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 26 = -4*q + 2*n, 2*q - 17 = 5*n. Which is the second smallest value? (a) -2\/13 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21855 and 17205.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcreccozoczuroe. Give prob of picking 2 c, 1 z, and 1 o.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2966284 to the nearest integer?\nAnswer: 1722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 0*(18\/(-4) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2058 by -14.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -2. Let i be (n - 1)*128\/10. Suppose 4*t - 280 = -4*v, -3*v - i = -4*v + t. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**3 - 8*h**2 + 2*h + 5. Let m(n) = -5*n**3 - 8*n**2 + 5*n + 6. Determine 4*g(v) - 3*m(v).\nAnswer: -v**3 - 8*v**2 - 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 301099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-140)*(-10)\/(-3). Which is the smallest value? (a) s (b) -2\/3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1494 + -1493.6. What is the smallest value in j, 0.3, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 653\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 4)*(-2*l - l + 2*l)*(30297 - 30297 - 112*l) to the form m + r*l + g*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7401863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - 10*p + 7. Determine a(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r + 27. Is 23 a factor of y(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 0) + (-12)\/(-4). Solve 0*p = -p + u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1128 and 107\/1880.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of -c**3\/6 - 7*c**2\/2 - 4134*c. Let v(n) = -n + 12. What is x(v(z))?\nAnswer: z - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 63*367\nAnswer: 23121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1221?\nAnswer: -1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-15)*42\/(-49) - 12318\/(-7). What is the greatest common factor of b and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -890.685 and 30.026.\nAnswer: -860.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67989 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*f + 1409 = -372*f. Let n = -789 + f. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -17, -105485, 5, 2 in ascending order.\nAnswer: -105485, -17, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*i = 98*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -50*j**3 + j**2 - 7*j - 7. Let k be d(-1). Let n be (3\/(-24))\/(2\/(-4)). Is k smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/(k*k**(-1\/3)*k))**(-2)*k*k\/k**(-5)*((k\/((k*k**(-1\/10)*k)\/k))\/k)\/k)**(-13))**(-5) assuming k is positive.\nAnswer: k**(1729\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*4\/((-40)\/(-10))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 16 = 0, -50 + 22 = -4*r + 5*t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**3 - 22*k + 22*k)*(-2 + 2 - 2)*(3 + 2 - 3) in the form h + p*k**2 + s*k**3 + d*k and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/145, 0.1, -1\/22.\nAnswer: -1\/22, -2\/145, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -2.2009460147858?\nAnswer: -6.2009460147858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r + 1. Let s be t(-1). Solve 4 = -3*p - s*c, 20 = 4*p + p - 2*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 - 4*f**2 - f. Suppose -2*x = x - 9. Let u(y) = -13*y**x - y**2 + 7*y**3 + 5*y**3. Let n be (28\/(-12))\/7*6. What is n*q(z) + 9*u(z)?\nAnswer: z**3 - z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0576 - 7.1576. Let w = -7 - q. Suppose -2*z - 7 - 17 = 0. What is the third biggest value in w, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m**4 + 390*m**3 + 1780*m**2 + 2767*m + 1367. Let q(h) = 11*h**4 + 195*h**3 + 890*h**2 + 1383*h + 683. Let l(i) = -3*g(i) + 7*q(i). Factor l(v).\nAnswer: 5*(v + 1)*(v + 2)**2*(v + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, c: 1}. What is prob of picking 1 a and 1 c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b5 (base 14) to base 5.\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 4.01. Let h = 4.4 - v. Let k = 944.5 - 944. Which is the third smallest value? (a) k (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3206*a**4 + 12 + 13*a + 37*a + 47*a + 3208*a**4 - 5 + a**3 as t + k*a**2 + m*a**4 + h*a**3 + b*a and give b.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 202*a**2*d**3 + 2*a**2*d**2 + 2*a**2 + 367*a*d wrt d?\nAnswer: 1212*a**2*d + 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.028 (b) 22 (c) 0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17446\/1848)\/61 + (-2)\/(-21)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 891 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34461823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-270)\/(-120)*(2 + 7\/(-15)) and -77\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 2. Let m(w) = -60 - 59 + 4*w - 3*w**2 - 3*w - 65 + 186. Give -3*m(s) - 4*v(s).\nAnswer: s**2 - 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116503?\nAnswer: 113, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*z - 39 = -6, -3*z = -3*v + 48. Find the second derivative of 0*l**4 - 11*l**4 - 2*l**3 + v*l + 14*l**4 wrt l.\nAnswer: 36*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2*y - 104 = 0, 2*g - 107 = 4*y + y. Let t = -8749 - -8763. What is the remainder when g is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -330, -1091, -2572, -5013, -8654, -13735, -20496?\nAnswer: -29177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -58 (base 11) to base 16.\nAnswer: -3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -348*l**3 + 39*l**2 - 41420*l - 3?\nAnswer: -2088*l + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 936.075891 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d + 3*z + 827, 3*d - 2*z + 500 = 0. Let q be (-373)\/2*(-8)\/(-9). Let u = d - q. What is the nearest to 0.1 in 2, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008911 to four dps.\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3874219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 - (3 + -9)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113, 52, -9, -70?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83435 and 410.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 9*t**2 + 2*t - 16. Let y be r(9). Let w be 10\/15*-3 + 8\/y. Solve -4*f = 5*g - 7, -f = w*g + 2*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070796?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.0201.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, i: 2, h: 8, l: 2, y: 3}. What is prob of sequence ly?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1700000*l**2 - 4*l + 8. Let z be j(2). What is z rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -127*x + 360. Let m be b(-5). Suppose 3*l + 959 = m. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-22) - 171\/(-33). Suppose -12 = -4*o, -o - 6 = -4*w + 91. Suppose 15 + q = 5*d - 2*b, 3*b = 5*d - w. Which is bigger: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (10\/(-8) - (129762\/72)\/(-89))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522728*c**3 + 17586*c**2 - c - 2 wrt c?\nAnswer: -3136368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 - 402*d**4 - 1270*d**2?\nAnswer: 120*d**3 - 9648*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*w + 198, -282 = -4*z - 2*w - 3*w. Let a = z - 39. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 53 - 53.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3076*y + 204111 = -316*y - 63857 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -32a?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 - 825 + 110*k + 261 + 278.\nAnswer: 110*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 7:08 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6622*f**2 + 154*f + 8371. Let u(x) = -946*x**2 - 21*x - 1196. Let p(z) = -3*d(z) - 22*u(z). What is the derivative of p(l) wrt l?\nAnswer: 1892*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 - 3*z**2 + 2 + (-29 + 29 + 26)*(-z**2 - 1 + 1).\nAnswer: -29*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 3*i + 16*z - 189172, 4*i = 3*z + 252251. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 16*s + 70 = 14*s, 100 = 4*d + 4*s. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 13 + 1 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 (base 6) in base 11?\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gz when two letters picked without replacement from giiffvzffgfggi?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202134413 + -2002?\nAnswer: 202132411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 155 - 152. Suppose 3*n - 4 = 3*p + 8, -2*p = i*n - 17. Solve -3*c - 21 = 2*v, -c + 9*v - n*v = -7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/6*3\/1 + 8800\/(-880).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = 4*g - 1037. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 5:58 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388 + -386. Let v = -1 + 4. Let x = 2 - v. What is the second biggest value in p, 1\/4, x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 8 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r + 0*r + 3201 = 22*r. Let w = 14 + 51. What is the remainder when w is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99837 is divided by 414?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 948 divide 25131168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/3 - 457894*c**2\/3 + 8*c\/3 + 1831576\/3 = 0 for c.\nAnswer: -228947, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 138\/(-21) - 15\/35. Let a(o) be the first derivative of o**2 + 16*o + 7. Let q be a(m). Solve 3*c = -2*g - 1, -5*c = -q*g - 20 - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 202, 404, 606, 808, 1010?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110.440943249 + -77.43094528. Let j = h - 33.01. What is j rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 3*y**2 - 4*y**2 + (-16 - 6 + 10)*(2*y**2 + 2 - 2 + (y - 4*y + 4*y)*(-y + 0*y + 0*y)))*(-y + 0*y + 2*y).\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**12*t)\/t**(-2\/17))\/(t**(3\/2)\/t)**(-39))**(-1\/5) assuming t is positive.\nAnswer: t**(-1109\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617337 a multiple of 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -106 + 110. Let b(j) be the first derivative of 5 + 5\/2*j**2 + 2*j - 1\/3*j**3. What is b(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 305556634*c**3 - 692930515*c**2.\nAnswer: 1833339804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6135112 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11810012 and 604.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 12) to base 7.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64020 is divided by 15977.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*g - 4*z, 0 = z + 11 - 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 8013 = 877. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.37 + -44.3. Are s and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -476.66 and 393?\nAnswer: -187327.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -30. Which is the closest to -1\/3? (a) -0.3 (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1236.6 + 1237. What is the third smallest value in -1, -2, -33, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -7*u + 5*u - 6*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, n: 7}. What is prob of picking 1 s and 1 n?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-48) + 8\/3. Let r be 4 + 1\/1*1. Suppose s*q - 43 = r. Solve -3*x = -5*p - 15, 2*x = -2*p + q - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 + 346164 - 346539 - 10*f**2 to b + x*f + r*f**2 and give b.\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:41 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -39 (c) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -470, -3, 314?\nAnswer: -470","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 448953\nAnswer: 10\/448953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**6\/120 + v**5\/60 + v**4\/12 + v**3\/2 - 9*v**2 - 34. Let b(u) be the second derivative of l(u). What is b(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8.6. Let d = 2.6 - t. Suppose 3*f + 2*y + 6 = 0, 4*y - 16 = -0*f + f. Which is the second biggest value? (a) f (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -10*v**2 - 16*v + 16. Let p be 1\/(-2)*(-27 - 5). Let o(t) = -3*t**2 - 5*t + 5. Calculate p*o(m) - 5*b(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2516 - 6?\nAnswer: 2510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.61 - 0.26. Let c = -1.869984 - u. What is c rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/516 + -18569\/3612. Let f = 10798\/17 - 633. Find the common denominator of f and u.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/(-15)*(-5 - -10). Suppose 2*p - 3*p = d*r - 72, -4*r = -3*p + 177. Let i = p - 39. Solve -5*f = -i + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h + 109 - 97 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**3\/3 - 3*f**2\/2 + 5*f + 4. Let s be w(4). What is the tens digit of s*(-1)\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -23 - ((0 - 3) + 13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-2)\/1 - 0). Let v be q\/(-9) - 0\/12. Which is the second smallest value? (a) -5 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/777045?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/40*4\/14?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7759884263 + 0.1.\nAnswer: 7759884263.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 71438, 140289, 209140, 277991?\n\"Answer: 68851*u + 2587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-18) + 10 + 1684564\/153 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 3*s - s + 6*s - s - 3*s + (3 + 0 - 1)*(0*s - s + 2*s) - 189*s + 98*s + 7 + 55*s in the form z*s + a and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + -0.39. Let p = 159 - 124. Put p, -2\/7, i in descending order.\nAnswer: p, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 - z**2 + 64*z**3 - 7*z**2 - 60*z**3 - z**2 as c*z**2 + k*z**3 + h*z + a and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12377 + -12198. What is the remainder when 2147 is divided by p?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + h - 133, -v - 24*h - 42 = -50*h + 24*h for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-289)\/(-238) - (-9)\/7?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(13) - sqrt(39)\/sqrt(3)))*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0793032 * 25.7\nAnswer: -2.03809224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**3 - 5*p**2 + 4*p + 1. Let r be l(1). Suppose -19 = -r*g - 3*o, -3*o - 3 = -2*g + 2*o. Solve 2*s - 5*q + 28 = 0, -48 + 16 = g*s - 4*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**2 - 37*d - d**2 - 29*d + 127*d - 29*d - 29*d.\nAnswer: -28*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/10*(1*-105)\/3*(-9)\/9.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-275)\/(-11))\/(-75)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.94621931 to three dps.\nAnswer: 17.946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2694.807312 rounded to 0 dps?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**4 + 153*r**3 - 666*r**2 - 1248*r + 6624.\nAnswer: -3*(r - 46)*(r - 4)**2*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270 - 4*b**3 + 2*b**3 - 3*b - 269 + 3*b.\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-46)\/207 + 194\/(-18))\/(-1). Suppose -9 = -y - x, 3*y + 210 = 3*o. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 5*n. Let z be y(-5). Suppose z = -s + 2 - 6. Let p(j) = 213*j - 216. Let a be p(1). Sort 3, 12, s, a in descending order.\nAnswer: 12, 3, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35925866?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5 + 33 = 4*t - 4*z, -4*t + 2*z + 18 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17473*n**3*y**2 + 251*n**3*y + 42*n*y wrt y.\nAnswer: -34946*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 4*u**2 - 4*u - 2. Let n be j(5). Suppose -o = n*o - 96. Suppose -3*b + 19 + 29 = 0. Calculate the highest common divisor of o and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(7\/5))\/m**(1\/10)*(m**(-1)\/m)\/m*m*m**6*m*(m*m**(-8)*m*m*m\/(m\/m**(-5)))\/(m**(-4\/9)*m**3) assuming m is positive.\nAnswer: m**(-145\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o - 9. Let c be 6\/(-2)*(-4)\/(-6). What is the nearest to 1\/3 in -2\/5, o, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 20*u**2 + 11*u + 6. Determine x(-9).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 6*n**2 - 7*n - 5. Suppose 4*p + 7 = 3*p - 2*m, -3*m = -5*p - 22. Let q be b(p). Suppose 0 = 6*j - q*j - 211. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(151*y - 115*y + 137*y)*(0*y**3 + 0*y**3 + 2*y**4).\nAnswer: -346*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 356?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/7 + 20*c**2\/7 - 46*c\/7 + 4.\nAnswer: -2*(c - 7)*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677850577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -9*r - 98. Calculate z(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = h + 3*z + 6, 5*h - 5*z + 465 = 0. What is the hundreds digit of ((-5208)\/310)\/(4\/h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3*4*(-4 + sqrt(288)*1)**2.\nAnswer: -3644 + 1152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -108, 0, -3 in ascending order.\nAnswer: -108, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 11) + 23 + -38 + 24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+-154.698498441\nAnswer: -156.898498441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 - 22*d**3 - 41*d**2 + 2*d + 24 = 0. Calculate d.\nAnswer: -4, -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as -3546\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1439608 or -1439638?\nAnswer: -1439638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/8*-3)\/(26\/(-52))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1. Let x(k) = k + 5. Let c(w) = w**2 + 2*w - 488. Let y be c(-23). Give y*b(a) + x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65745 + 410460 = 2*z + 5*s, 5*z - 5*s - 1190495 = 0. Round z to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 6*l. Let j(c) = -c**2. Determine v(j(p)).\nAnswer: 5*p**4 + 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 173580\/120 + 22\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -163 - 29*u - 142 + 292 + 2*u**2 + (3*u + 2*u - 4*u)*(0*u - 3*u + 5*u).\nAnswer: 4*u**2 - 29*u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ossosss. Give prob of picking 2 s and 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16008924, 32017854, 48026784?\n\"Answer: 16008930*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2333222*i. Let p(c) = 37*c**2. Determine p(a(w)).\nAnswer: 201425221347508*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**5\/8 - 1107*q**4\/8 + 48945*q**3\/4 + 12375*q**2 = 0. Calculate q.\nAnswer: -1, 0, 150, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11)*j**(2\/7)*j*j)**(3\/4) assuming j is positive.\nAnswer: j**(285\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14859 - 14859. What is the closest to d in 5, -70, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11352845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/12 + -5\/6. Let h = -0.0401 - 0.2599. Let l = 0.4 + -1.4. Which is the closest to l? (a) h (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3995 at most as big as -0.0553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 287290 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5\/(5\/7) + 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((156\/1404)\/(8\/(-30)))\/((-30)\/(-16)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23819*s**2*t - 981*s**2 - 5841*s*t**2 + 19*s - 201 wrt t.\nAnswer: 23819*s**2 - 11682*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -769.7 and 0.03.\nAnswer: -23.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585319311.\nAnswer: 3, 43, 504151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 41. Solve r*v - 9 = -v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 38217873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/170 and 145\/102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(147) - (sqrt(147) - sqrt(147)*3))*1 - sqrt(147))\/sqrt(7))\/(sqrt(15)\/sqrt(125)*5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/20787179 and -52\/26726373.\nAnswer: 187084611","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*m**2 - 2*m**6 + 7*m**6 - 9*m**6 + 10*m**2 wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-4)\/s)\/s)*s)**(-33)*(s\/s**(2\/11))**(4\/9) assuming s is positive.\nAnswer: s**(-2900\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than 0.697083719116?\nAnswer: 0.677083719116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.5 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*b - 18399 + 19479 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:06 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.4 + -3.6. Let z = 55.00000288 + s. What is z rounded to seven dps?\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -1, 282, 2\/7.\nAnswer: -1, 0, 2\/7, 3, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = 3*u - 5457. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/3549 - -10655\/14196. Sort 2, b, -2\/15, 1\/8, -5\/3 in increasing order.\nAnswer: -5\/3, -2\/15, 1\/8, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 5 + 5)*(-4*u - u + 4*u) + 5 - 5 - u**2 - 4*u**2 + 0*u**2 + 3*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 - -0.39.\nAnswer: -263.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*t + 54 = 369. Solve 7*r + t = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(3*sqrt(9)))\/(sqrt(12) - -5*sqrt(108)).\nAnswer: sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 72, -0.3, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j*r*u**2 - 2*j*s*u**2 - 12*j*s + 12*j - 2*r*s + 64*s*u**2 with respect to u.\nAnswer: 2*j*r*u - 4*j*s*u + 128*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 1\/2*o**2 + 5*o + 122. What is b(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*c - 11*c - 11, c + 3*j = -9. Solve 4*v = u - 12, 8*u + 9 = -c*v + 7*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -70771.2 to the nearest one hundred.\nAnswer: -70800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*1952958\nAnswer: 527298.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 8:54 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 361?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 - -7?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(54216\/1800 - 30).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from {t: 4, i: 1, v: 4, l: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -1\/3, -2.53?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*6\/(-135)*(-6)\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(4\/5))**10*c\/c**(17\/2)*c*c**(-2\/25))**(-4\/25) assuming c is positive.\nAnswer: c**(-142\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4\/9 - 14*n**3\/9 - 124*n**2\/9 + 64*n + 256 = 0?\nAnswer: -6, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**5 + 4*v**4 - 2*v**3 - 3*v**2 - 3*v + 3. Let d(x) = -4*x**4 + 2*x**3 + 2*x**2 + 2*x - 2. Let o = 27 + -29. Let r(c) = o*z(c) - 3*d(c). Factor r(q).\nAnswer: -2*q**3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5672 + 336 = -4*n. Suppose 730 = -8*v - n. Let m = -37 - v. 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 g(i) = -546*i + 85. Let y be g(-2). Suppose -2*h = -y - 353. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.51706314 to two dps.\nAnswer: 160.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 - f**3 - f**3)*(-3*f - 3*f - 2*f) + (-2 + 7 - 2)*(0*f**3 + f**4 + f**4 + 5*f**3).\nAnswer: 30*f**4 + 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m - 1. Let a be u(-1). Suppose 3*v - 80 = 2*p, -3*v + 4*p + 40 = -2*v. Suppose -a*b = -b - 4*d - v, -4*b + 45 = -5*d. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 183 + -1283\/7. Which is the nearest to -1? (a) w (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 19*z**2 - 17*z - 19. Let y be g(18). Let q be -212*((-4)\/(-16))\/y. Let w = 93 - q. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**3\/6 + g**2 - 5*g. What is c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 take away 9.8?\nAnswer: -9.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -1 - (-11)\/(-77)*0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**2 + 58*j**2 + 7*j**2 + (-4*j + 2*j - j)*(0*j - 5*j + 3*j) + 43*j**2 + 5*j**2 + 10*j**2 to the form h + b*j + q*j**2 and give q.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4)\/p)*p**(3\/4))\/((p\/(p\/p**(-2\/21))*p)\/(p*p**(-6))) assuming p is positive.\nAnswer: p**(71\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145644 and 218466?\nAnswer: 436932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 4608*p + 36782. What is f(-8)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**40*i\/(i**11\/i)*i)\/(i**17\/i**(-17\/4)) assuming i is positive.\nAnswer: i**(43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 15796.42 to the nearest 10.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -15*f**2 + 87*f - 18*f**2 - 3*f**3 - 20*f**2 - 45 + 28*f**2 - 14*f**2 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*c**4*i**2 + 660*c**3*i**2 + c**3 + 27*c**2*i**2 - c**2 + 89*c*i**2 + 2 wrt c.\nAnswer: -360*c*i**2 + 3960*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106076*f - 106017*f + 2891 = 0 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.4. Let j = -3.8 - 1.2. Which is the closest to 0? (a) j (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201212020001 (base 3) to base 6.\nAnswer: 31434044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*2)\/(328\/1804). Solve -11*b = -d - 9*b + n, -2*d - 3*b - 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*m + 95*m + 19219 = -5645 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = -4*i, 117*i - 4 = 121*i - 3*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73515*a**5 - 39*a**4 - 10071*a + 14 wrt a.\nAnswer: 1470300*a**3 - 468*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20386, -19806, -19026, -18046, -16866, -15486, -13906?\n\"Answer: 100*d**2 + 280*d - 20766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73778 + -0.2147.\nAnswer: -73778.2147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 43.97 - -7\nAnswer: 50.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t - 3 + 4*t + t)*(-4 + 5 - 3)*(0*t**2 + 0*t**2 + t**3 + (2*t + 0*t + 0*t)*(-2*t**2 + 2 - 2) - 53*t**3 + 30*t**3 - 11*t**3).\nAnswer: -74*t**4 - 222*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -545 (base 11) to base 12\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(176)\/sqrt(4)*-3 - sqrt(44)))\/(-2*2*sqrt(4)*2).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5940897 and 18?\nAnswer: 35645382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -436\/637 + 26\/49. What is the nearest to -4 in p, -5, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 180*w - 1575.\nAnswer: -5*(w - 21)*(w - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**2 + 2*t + 3. Let k(y) = -7*y**2 + y + 2. Suppose -25 = -17*v + 26. Give v*k(m) - 2*b(m).\nAnswer: -5*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**2 - 5*c + 25. Determine b(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 539942*h**3 - 5*h**2 + 9*h - 5. Is z(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 848054.8ng?\nAnswer: 0.0000000008480548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -7, -8 in decreasing order.\nAnswer: 0, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 3*p + 1. Let l be u(3). Let t(w) = 33*w**3 + w**2 - 1. Calculate the remainder when t(l) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 542830 is divided by 1052?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-6)*((-1530)\/(-24))\/(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 less than 45921202?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3083, 5846, 8657, 11540, 14519, 17618, 20861, 24272?\n\"Answer: 4*i**3 + 2735*i + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -1 + 5\/2*d**2 + 0*d. Let t(h) = h. Give z(t(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216794912?\nAnswer: 2, 1201, 5641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttddtddtttt. What is prob of picking 1 t and 1 d?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2.6, 4, -17\/6, 10, 1, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -75*v**3 - 73*v**3 + 2 + 223*v**3 + 205*v - 79*v**3 as b + n*v**2 + l*v**3 + q*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5126 = 561*s + 6655 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2.3456\nAnswer: 3.6544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 37*l**2 + 281*l - 304. Let b(g) = 11*g**2 + 94*g - 101. Let u(s) = -7*b(s) + 2*n(s). Find w, given that u(w) = 0.\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8251, -33011, -74277, -132049, -206327, -297111?\nAnswer: -404401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = r, p = -r - 4 + 3. Differentiate -14 - 13 + p*z**2 + 7 wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - 2*l**4 - l**2 + (-2*l**4 - 2*l**2 + 2*l**2)*(3 + 4 - 5) + 2*l**4 + l**4 - 2*l**4 + (-1277*l**3 - 98*l**4 - 49*l**4 + 1275*l**3)*(2 - 6 + 3).\nAnswer: 142*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1193110219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -313508183 and -0.5.\nAnswer: -313508183.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 - h. Let l be f(-1). Let t = l + -5. Let n be 194\/6 - (-2)\/t. Calculate the greatest common factor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m = -4*x + 16, -5*m - x = -15. Let s be (6\/(-75))\/((-29)\/35). Let t = s - -3\/29. What is the nearest to -2\/3 in -3, t, m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + j - 1. Let k(h) = -3*h**2 - 2*h - 3. Let q(y) = -2*c(y) + k(y). Let b be q(-4). Let d be 3\/(-6)*(1 - 1). Which is smaller: d or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1408 = 4*z + z + u, -z + 4*u + 269 = 0. What is the tens digit of z - (20\/(-15) + (-1)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22\/3*h**2 - 10\/9*h**3 + 0 + 28\/9*h = 0. Calculate h.\nAnswer: -2\/5, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04 times -0.0564\nAnswer: 0.058656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 7. Let z = b + -6.2. Put 3, 0.5, z in ascending order.\nAnswer: z, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 l when two letters picked without replacement from xxxxsollxlxiloxlz.\nAnswer: 35\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3. Suppose 66*x - 70*x - 4*v = 20, 2*x + v + 11 = 0. Let b(w) = w - 1. Give x*b(o) - c(o).\nAnswer: -6*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - 3. Put -2, -21, m in ascending order.\nAnswer: -21, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2 - 104*a - 1159. Let q be h(-10). Calculate the greatest common divisor of q and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let o(n) = n - 6921. What is o(t(b))?\nAnswer: -2*b - 6921","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 12. Let k be d(-6). Let f = -119\/4 + k. Let y = -7 - -6. What is the nearest to y in -0.05, f, 0?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(0*l + 5*l - 7*l) + (-4*l + 2*l + l)*(-5 + 2 + 2).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/41, 3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 2, -3.\nAnswer: -3, 2, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*v - 966 + 1186 = 0. Suppose 0 = -0*m - 2*m. Solve m = v*h - h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 8*p**2 + 8*p. What is o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*(15\/(-3))\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 + 3*u + 4. Let t be a(4). Calculate the highest common divisor of t and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 + -9 + (-14 - -26) + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -37*k**3 - 5*k**2 + 45*k + 20. Let m(c) = 12*c**3 + 2*c**2 - 16*c - 7. Determine -6*i(a) - 17*m(a).\nAnswer: 18*a**3 - 4*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 202.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d - 0. Let g(y) = 2*y - 11*y**2 - y + 12*y**2. What are the prime factors of g(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22592 + -15768. What is the thousands digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 12*i - 7. Let z be m(3). Suppose 0 = -4*u - 4*h + 316, 3*u - 3*h - 163 = u. Calculate the greatest common factor of u and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201314\/97 or 2075?\nAnswer: 2075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1395 and 1562121?\nAnswer: 7810605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -21*b + 135. Let o be r(7). Is -10 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqtxqxqqttxqtoqxf. Give prob of picking 2 o.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (135\/(-25) - -5)\/(6\/10). What is the second smallest value in a, -0.4, -0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351 = -3*u - 5*j, 10*j = -5*u + 8*j - 2258. Let g = u + 722. Is g a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - i + 2. Let a be f(0). Suppose -a*g - 3*g + 10 = 0. Find the second derivative of -3*j - 2*j**2 + 6*j + j**g wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-4\/5))\/u)\/u**(-2))**16 assuming u is positive.\nAnswer: u**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 10:58 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*w - 200, -4*q + 77 = 4*w - 119. Calculate the highest common factor of 1378 and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 4 - 46 = 0 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 877, 3147, 6387, 10171, 14073?\n\"Answer: -71*i**3 + 911*i**2 + 34*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20133301132201 + 1?\nAnswer: -20133301132200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (-3 + sqrt(605) + -1)) + -2)*-1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 147*n - 446. Calculate t(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 184\/18 + (-12)\/54. Let q = -11 + c. Is 0 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 42 (b) 0 (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -1240?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 30674.80273 to zero decimal places.\nAnswer: 30675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 22025211?\nAnswer: -22025213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:11 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.1 rounded to zero dps?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12683, 13072, 14119, 16154, 19507, 24508, 31487?\nAnswer: 40774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 0 + w - 8 - 3. Calculate g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, -1, -3, 20, 8, 6 in ascending order.\nAnswer: -3, -2, -1, 6, 8, 20, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -12, 2, 38, 102, 200, 338?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**3\/3 + m**2\/2 - 8*m - 55. Give c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -19*y**3 - 3*y**2. Let o(i) = -59*i**3 - 12*i**2. What is -7*a(k) + 2*o(k)?\nAnswer: 15*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18.2 - -24. Let g = 127.8 - v. Let c = g - 99.1. What is c rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -506 (b) -4954 (c) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151440 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k*k**0)\/k)))**29*k*k\/(k*k**(3\/16)*k)*k*k*k**(1\/45)*k*k assuming k is positive.\nAnswer: k**(2761\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.004 - 2. Let m = p - -5.396. Let k = 8 - m. Round k to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12445 and 22705.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 30*p + 35*p - 85 = 0, d = 2*p + 47. Solve 53*t + d = 68*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -2*z**3 + 5*z**2\/2 + 2*z + 6. Let g(k) = -7*k**2 + 6*k + 2. Let f = 7 + -2. What is f*g(y) - 6*l(y)?\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1027 + -1965. Let h be 3 - 525324\/(-176) - (-1)\/4. Let v = h + z. Calculate the common denominator of v and -105\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 52036?\nAnswer: 208144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - 3*k - 34, -99 + 71 = 5*m + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 12 = -9*y + 4*y, -16 = -4*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 5:18 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -40. Suppose 5*z**3 + 4 - 15*z**4 + 5*z**5 + 7*z**2 - 10*z - 4 + a*z**2 = 0. Calculate z.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(80) + (sqrt(80) + (5 + sqrt(80) + -3)**2 - sqrt(80)) - (sqrt(80) + (sqrt(80) + -1)*-6)).\nAnswer: 390 + 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405151 divided by -43?\nAnswer: -2405151\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -2, -22\/3, -106, 2?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4751 by 4.\nAnswer: -4751\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -4*m**5\/5 + 10*m - 7. Find the first derivative of i(u) wrt u.\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 3*f - 16. Let u be d(-6). Suppose 3*o - 20 = 5*w + 17, -u*o - 2 = 2*w. Let b = 19 - 16. Sort b, o, -3, -1 in increasing order.\nAnswer: -3, -1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d - 5*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/123084829 and -5\/9979851.\nAnswer: 369254487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4) + -1)*847\/77. Suppose 5 = 2*a + 17. Do u and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 4*i**2 + 3*i**2. Let s(t) = -t. Let c(l) = 2*l. Let z(y) = -3*c(y) - 5*s(y). What is z(k(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242) + -1 + 4 + -5 + sqrt(242) + 2)*-5)**2.\nAnswer: 24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -2 (b) -4 (c) 47\/2 (d) -0.5 (e) 0.3 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 214403 - 1?\nAnswer: 214402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35 - 65275.95?\nAnswer: -65278.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4*o - 11, -2*j + 5*o + 13 = -0*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**2*q**2 + 81*m**2*q - 4*m**2 + 3*m*q**3 - 3*m*q**2 wrt q?\nAnswer: -24*m**2 + 18*m*q - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3122013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/15, 5\/762, 0.5, -0.3 in descending order.\nAnswer: 0.5, 1\/15, 5\/762, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 11:21 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 5408406*q - 21938141595627.\nAnswer: -(q - 8112609)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -41*o + 3. Let m be b(-4). Suppose -3*t + 569 = m. Suppose 2*p - 5*d = 129, 0 = -0*p + 2*p - 4*d - t. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 902346435 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -37*i - 499. Let w(p) = 13*p + 166. What is 6*f(j) + 17*w(j)?\nAnswer: -j - 172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 2*o + 6, 13*o = 5*x + 17*o - 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 165, 220, 275, 330, 385, 440?\n\"Answer: 55*y + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.128 and -34779?\nAnswer: 4451.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 7*v = -4*s, 4*v = s - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 4*h - r, 5*h - 4*r - 27 = 0. Let p(l) = 3*l - 2. Let g be p(h). Solve q - 2 = -g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(7*d - 14 + 14) + (-5 + 1 + 2)*(2*d + 2*d - 2*d) - 2*d + 0 + 0.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-7))\/((-12)\/(-84)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2201211002 (base 5) to base 7\nAnswer: -55015102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/(-12))\/((-1)\/(-48)). Suppose -5*f + 13*n + 3409 = 9*n, -2*n = 5*f - 3403. Suppose -f = -3*k + j. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 50015 (base 10) to base 16\nAnswer: c35f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -5985.3?\nAnswer: 5985.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 3. Let j be z(-9). Suppose 0 = m - 1 - j. Calculate the least common multiple of 6 and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -55000 + 29150011\/530. Find the common denominator of 23\/120 and x.\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -10. Let v = 4 - c. Let p = v - -22. Which is smaller: 2\/9 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157094, 314189, 471284, 628379, 785474, 942569?\nAnswer: 1099664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 22, 116, 258, 436, 638, 852?\n\"Answer: -2*m**3 + 36*m**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-318)\/265 - 47433\/(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15632 - 10460. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 16 = 17*q - 45*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3 - 18564*c**2 - 28593660*c - 14624527100 = 0. Calculate c.\nAnswer: -1751, -1445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 35\/(-45) - (-336)\/4914.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1200100?\nAnswer: 1200030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111353315 + -24?\nAnswer: -111353343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 7*h - 6. Let c be o(5). Suppose -12*u + 2939 = 923. Suppose -c*s = -s - u. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 3:26 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -50.951. Round h to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*(d*d*d**1)\/d)\/d)\/d*d)\/d**(-1\/7))**(-9\/4) assuming d is positive.\nAnswer: d**(-135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/5 + 129*u**3\/5 - 27*u**2 - 129*u\/5 + 132\/5 = 0.\nAnswer: -44, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-80)*10\/12*-4. Suppose 0 = 5*j - 96 + u. Find the third derivative of -j*z**2 + 35*z**5 + 57*z**2 + 8*z**5 wrt z.\nAnswer: 2580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (33 - (11 + 46)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 2\/7 (b) 2\/9 (c) -3 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 2\/21 (c) -4\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -157*l + l**4 - 2*l**3 + 157*l + 9*l**2 - 3 + 5 to the form i*l**3 + r*l + a + u*l**2 + p*l**4 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 - 2*b**4 + 8*b - 6*b + 4 + 2*b**3 in the form g*b + s*b**3 + v*b**2 + x*b**4 + l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 735*x - 11062 = -131*x - 35310 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -5.9, 1\/8, 0, 21, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjml. Give prob of sequence mmj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y**(-3\/8)*y)*y))\/y)\/y*y\/(y**(6\/7)\/y*y*y) assuming y is positive.\nAnswer: y**(-237\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zan when three letters picked without replacement from znzzaazzn.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a - 51 - 14*a**3 + 3*a**4 + 50 + 2*a**2 - 7*a - 2*a**4 in the form d*a**3 + n*a**2 + c*a + h + u*a**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5))*2 - (sqrt(80) + 3))**2.\nAnswer: 4*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 13. Suppose p - 3*p = -u. Suppose n = -3*n + 32. What is the greatest common factor of n and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-45) - (-2204)\/(-190)*(-150)\/(-54)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 6.62.\nAnswer: -6.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**6\/60 - j**5\/20 - j**4\/12 + 3*j**2. Let c be u(3). What is the greatest common factor of 14 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857817483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3))\/y*y*y)**(1\/8)*(y*y*((y**1\/y*y)\/y)\/y)**(-7\/4)*(((y*y**1*y*y)\/y)\/(y**(-5\/6)\/y))\/((y**(2\/7)*y*y*y)\/y*y*y*y*y**5) assuming y is positive.\nAnswer: y**(-197\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 58 (b) 1\/3 (c) 5 (d) -2\/5 (e) 0.5 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992158115 a multiple of 6296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66726862 is divided by 236.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77105 is divided by 252?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82325100 divided by 494.\nAnswer: 166650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 - -49. Suppose -f - 4*z + 343 = 4*f, h = -4*f + 5*z + 258. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqhqhqqhhqhqh. Give prob of picking 1 h and 1 q.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 2*f**2 - f + 2 - f**2 + 0*f**2. What are the prime factors of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/15*(-35)\/2 is divided by (-58 - -57)\/(1\/(-8) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -50, -105, -182, -281?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -30?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m - 4*m - 30*m. Let a(r) be the second derivative of r**3\/3 + r. Give a(c(n)).\nAnswer: -46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47817)\/5796*4\/(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 20 = -15*u. Solve -o = -3*o + u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21013 - -2?\nAnswer: -21011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 33 = -5*z, 507562*o - 507550*o + 2*z = 148 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 5*s - 42, -3*s = 7*z - 2*z - 98. What is the lowest common multiple of z and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -4*r + 13*g, 82*r - 22 = 84*r + 2*g for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (-6*((0 + sqrt(468) - sqrt(468)) + 0 + sqrt(468) + -6*sqrt(468)*2))**2).\nAnswer: -12231678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 15*l - 13 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**5\/20 + 5*s**4\/12 - 3*s**2\/2 + 4*s. Let r(t) = -7*t + 3. Calculate the remainder when r(-3) is divided by u(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 4*x**3 + 0*x - 3*x**4 + 4\/5*x**5 - 2*x**2 + 15. Let i(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let j = -1 - -10. Suppose -2*w - i = -18, 2*w - w = -2*i + j. What is the least common multiple of w and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464638451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-48)*(-18)\/12.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 813 and 42831279?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 4*r**2 + 5*r + 3. Let i(n) = n**3 - n**2 + n + 1. What is -4*i(s) + l(s)?\nAnswer: -2*s**3 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -2*w**4\/3 + 2*w**3\/3 - w. Determine x, given that c(x) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) 1 (c) 0 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -18*n**5 + 1059*n**4 - 20511*n**3 + 138897*n**2 - 192027*n = 0.\nAnswer: 0, 11\/6, 11, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 57*r**2 - 705*r - 278. Let g be v(38). Solve -452 = 12*a - g for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99 (base 10) to base 7.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*x = -5*x. Suppose -m - 55 + 346 = x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 - 16*m**2 - 87*m + 24*m**2 - 22 in the form p*m + x + j*m**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3099*31\nAnswer: -9.6069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-2\/57)\/((f\/f**(-1\/6))\/(f\/(f\/(f*f**6\/f*f)))) assuming f is positive.\nAnswer: f**(3317\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005289 rounded to 5 decimal places?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + 0*b**2 - 3*b**2)*(-4*b + 0*b + 2*b) + 4*b**3 - 3*b**3 + b**3 + 1 - 1 + b**3 as r + d*b**3 + y*b + m*b**2 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-21) + (-10)\/(-7). Let g be (-4)\/(-1) - (4 + v\/(-1)). Calculate the lowest common multiple of (13 - g - (0 - 0)) + 0 and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 14\/9 of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 7. Let r(u) be the first derivative of -3*u**2\/2 - 4*u + 1. Let q(p) = -7*r(p) + 4*x(p). Let v(c) = -c. Determine v(q(z)).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1772917 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 66.7. Let k = -3 + l. Let i = 1.38 - k. Round i to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w**2 + 0*w)*(-454 + 16 + 161) to the form c*w + z*w**2 + q and give z.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + 24. Let c = -13 + u. Round c to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 9*v**2 + v + 37. Let f be j(-9). Calculate the greatest common divisor of f and 4844.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 27*a - 2. Let h(x) = 325*x - 25. Let c(r) = -2*h(r) + 25*j(r). Let v be c(7). Suppose 4*y = -y + v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 - -303. Which is greater: 53 or q?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -13. Suppose o*z + 3*k = -2*z + 35, -z - 5 = -2*k. Suppose p - 5*v - 31 = -0, z*p = 5*v + 55. Calculate the greatest common factor of p and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74663987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 19*r - 72 = 0, -104256*u - 16 = -52123*u - 52129*u - 5*r for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*v + 6595 + 7862 = 4764 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1507.5409 - 0.2302.\nAnswer: -1507.7711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*i = -33 + 24, -2*r - 23 = -7*i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*s + s + 65, 0 = 5*t + 4*s - 65. Suppose -5*u = -3*u - 46. Calculate the remainder when u is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 + 3 + (1 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -4. Let g be -3*-5*z\/3. Suppose l - 1 = g. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 536521?\nAnswer: 536520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 321201033132?\nAnswer: -321201033200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let j(p) = -2 + 3*p**3 + d + 3*p - 2 - 3*p**2 + 2*p. What is the tens digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 824648297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s - 1\/8*s**6 + 3\/16*s**4 + 0*s**3 - 3 + 0*s**2 + 0*s**5. Factor r(d).\nAnswer: -3*d**3*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 920 - 677. Suppose -255*a + 48 = -u*a. Let k(y) = -2*y - 1. Let t be k(-4). Solve a*m - t = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -394, -4, 5, 64, 32, -2 in descending order.\nAnswer: 64, 32, 5, -2, -4, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*q - 10, 6*z = 8*z + 2*z for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 794337 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90 or -6485272?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*j - 6 + 53*j**3 - 13*j + 33*j + 48*j**3 wrt j?\nAnswer: 606*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317068897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/18 (b) -0.5 (c) -11 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-1\/3))\/x))**(-1\/5)\/((x*x*x\/x**(5\/7))\/(x*x**2*x)) assuming x is positive.\nAnswer: x**(166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 18768432*y**3 + 22015821178296*y**2 + 132095433817872*y + 198143404100964.\nAnswer: 4*(y - 2346057)**2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 times 73968?\nAnswer: 30326880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by -277403.\nAnswer: 67\/277403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-16)\/4 - 7\/3. What is the closest to m in 3, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 22*h**2 - 9*h + 149. Let a be y(13). Calculate the highest common factor of a and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-4)\/20*-5. Suppose s + 25 = u*s. Suppose 0*y = -3*y - q + 58, -s*y = -4*q - 108. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153, 307, 461?\n\"Answer: 154*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 36 - 25 - 3*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 = -2*q - 9, 3*q - 2*k - 8 = 0. Let w be (-2420)\/(-1683) - ((-15)\/(-9) - (-364)\/(-204)). Is w greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-7 - -4) - (12 + -19 - 88).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 148.7 + 2.3. Let j = g + -107. Let t = j + -44.71. Round t to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 3:34 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) -2917 (c) 2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10000 and 1764600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*o - 4*o - 3*t, 2*t - 24 = 2*o. Is 2 a factor of (-20)\/3*o\/((-195)\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 308*i**2 + 12*i + 4. Is x(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2*j - 3*j)*(0*j - j + 5*j) + (-2 + 2 - 7*j)*(4 + 2*j + 0 - 2) as l + t*j**2 + a*j and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 179 = 166. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13. Let v(q) = -q - 2 - 1 - 4*q - n + 7*q**2. Let m(o) be the third derivative of -o**5\/10 + o**4\/6 + 2*o**3\/3 + o**2. Calculate -5*m(r) - 4*v(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 2*t, 0 = d - 4*t + 6 - 22. Suppose d = 5*p + 84 + 156. Let h be (-8)\/20 + p\/(-95). What is the second biggest value in -2, h, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*(sqrt(198)*1 + sqrt(352)*1))\/(4*sqrt(50) + -6*(sqrt(2) + sqrt(50))))**2.\nAnswer: 4083\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -124, -253, -382?\n\"Answer: -129*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.858 + 5.249. What is x rounded to 1 dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316 less than -1889\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ideieiiidii. Give prob of sequence ie.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from xuquyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4044 + -1?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 832 = 1373. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*p + 66*p + 61*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5537 - 5562 = 5*r, q - 15 = 3*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15627529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 344, -254, -848, -1438, -2024?\n\"Answer: 2*k**2 - 604*k + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 7888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 273085.\nAnswer: 2730850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 375\/(-20) - 2\/8. What is the tens digit of l + 15 + 31 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 15 = -2*k. Suppose 0 = -f + 3*q - 10, 4*q - k*q = 4*f - 4. Suppose -f*l = l + i - 107, -5*l - i = -177. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 212*c**3 + 12*c. Let f be y(3). Suppose 3*q - f = 7839. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302\/23 - 8152\/253. Let v = g - -1669\/88. Which is the nearest to -0.6? (a) 2\/3 (b) -2\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**4 - 7*l**3 - 10*l**2 = 0.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11804841859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40342 divided by 2.\nAnswer: 20171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m - 8. Let f be t(-6). Let x(z) = -2*z**2 + 13*z - 4. Let u(d) = 9*d**2 - 10*d**2 + 2 - 17*d + 19*d. Let k(p) = u(p) - x(p). What is k(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-4))\/5*((-120)\/(-18))\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**(-2) assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-11464)\/(-32) - 1*(-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18689.1301163 + -18689.01. Let y = -0.1202 + a. What is y rounded to 6 decimal places?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/3 + 40118*z**4\/3 - 201041254*z**3\/3 - 1409255246*z**2\/3 = 0.\nAnswer: -7, 0, 10033","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 + 557 = 5*h. What is the greatest common factor of 69 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dwz when three letters picked without replacement from dzdddzdwddzzdd?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r - 154 = -7 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of v**6\/40 - v**5\/20 - 5*v**4\/8 - 3*v**3\/2 + 3*v**2\/2 - v. Let t(y) be the first derivative of d(y). What is k in t(k) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in -3, -2, -9, 0.5, -47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3821952470 to the power of 1\/3, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2*sqrt(192)*2 - sqrt(192)))*6*6.\nAnswer: -1440*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3781497960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17765 and 1122.\nAnswer: 106590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*q = -4*y + 9, -3*y - 2*q = -14. Suppose 0 = -s - 4*u - 1, y*s + 4*u + 39 - 11 = 0. Is s\/3*(-26)\/6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 - 26216968*k\/5 - 171832352778256\/5 = 0.\nAnswer: -13108484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 4. Let x be q(3). Let a(d) be the second derivative of -7*d**3\/6 + 3*d. Give a(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than 0.02654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 25706 - 19194 = 11035. What is the greatest common factor of j and 1469?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4458402 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 14) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 33 = -3*y, 0*y - 5*y - 53 = 4*o. Let u be ((-58)\/(-5))\/(o\/(-90)). Is u != 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k + 12707 = -62*k + 52397. Calculate the highest common divisor of k and 13230.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6475.928 meters in kilometers?\nAnswer: 6.475928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 202, 696, 1520, 2674, 4158, 5972?\n\"Answer: 165*y**2 - y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/12)\/((-2)\/(-21)). Let q = -5 - a. Suppose i - 10 = -q*i + 5*x, 2*x = 3*i - 4. Solve i*h + 3*h = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/127 + -143\/1016. Let q = 8\/13 - 3\/26. Let p = 3394 + -3394.01. Which is the closest to q? (a) p (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539953 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/439 and 40\/33?\nAnswer: 14487","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337280 is divided by 701?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**3 - 2*x**2 + 3*x - 2. Let f be v(1). Suppose 0*w + f*w - 16 = 0. Solve 2*z + 4*n - 7 = 3, -w*z = 4*n - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 30*f + 30. Let y be j(-1). Solve 4*n = a, n + n + 2*a - 10 = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 10*u**2 + 23*u - 52. Give h(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*((-3)\/2)\/3 + -2. Let x(h) = 6*h**2 + 3*h + 1. Let v be x(-1). Suppose -4*b + 2*y = v*y - 434, j*y = -12. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 less than -0.022?\nAnswer: -1.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 238 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*v + 61, 2*v - x - 41 = -6*x. Let o be (-2 - 1036\/(-132)) + (-6)\/v. Is o smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -2 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 922, 1921, 2932, 3961, 5014, 6097?\nAnswer: 7216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 6:16 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 13*w**2 - 28*w + 5. Determine n(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j*j\/j**12)*j*j*j)\/j)\/((j*j\/((j\/((j*j*j*j**(-13)*j)\/j))\/j)*j)\/j*j)*((j*j**2)\/j)**(7\/8))**(2\/41))**(-36) assuming j is positive.\nAnswer: j**(-1638\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/5 + 5530802*z**2\/5 + 8849264*z + 88492576\/5 = 0. Calculate z.\nAnswer: -2765393, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 - 2*q + 1. Let y = 11 - 7. Calculate x(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-3\/7)\/n*n)*n\/n**13)**(-7)\/(n**(7\/2)\/n*n**(2\/5)*n*(n\/((n*((n*n\/n**1)\/n)\/n)\/n*n*n*n))**(-2\/45)) assuming n is positive.\nAnswer: n**(1261\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(17) - (sqrt(170)\/(sqrt(40)\/sqrt(4)) + sqrt(17)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-9) - (18\/48)\/((-21)\/504).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3)*(-411 + 320 - 491)*(-i + 2*i - 3*i)*(6 - 3 - 1) to x*i + b and give x.\nAnswer: 6984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13*b**2 + 2*b + 4. Let p(o) = 26*o**2 + 4*o + 9. Let a(q) = -3*p(q) + 7*v(q). What is the smallest common multiple of 22 and a(1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.037 + -0.037. Let v = 12\/11 - 16\/55. Let k = -0.5 - -0.6. What is the nearest to k in p, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, 0.3, 40?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1, 2, 3, 4?\n\"Answer: s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12100410233014 - -10?\nAnswer: 12100410233024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3506 - 3519. Let m(y) = -9*y**2 + 11*y - 2. Let l(j) = -j**2 - 2*j - 5*j + 2*j + 1 + 5*j**2. Give d*l(k) - 6*m(k).\nAnswer: 2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -620*r + 311*r + 312*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 - 13*z**3 + 801*z**2\/5 - 527*z + 380.\nAnswer: -(z - 5)**2*(z - 1)*(z + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x**3 + 3*x + 3. Let p(b) = b**4 + 6*b**3 + 2*b + 2. Let t(o) = -2*d(o) + 3*p(o). Factor t(z).\nAnswer: 3*z**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 9*o + 15. Suppose -18*n = -13*n + 35. Let a be w(n). Differentiate -2 - 6 - a + 12*d - 5 with respect to d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 23*p + 639. Give v(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20\/15*(-2)\/(160\/45)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r**3 - 4*r**2 - 3. Let z be (-3 + 3 - 1)\/1. Let b(j) = j**3 - 2*j**2 + j - 1. Let u(n) = z*s(n) + 3*b(n). Determine v, given that u(v) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 5}. Give prob of sequence tttt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {g: 4, p: 1, r: 2, w: 1, b: 2, t: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126*r**2 - 125*r**2 + 25 - 3*r + 0*r)*(7*r + r + r - 12*r).\nAnswer: -3*r**3 + 9*r**2 - 75*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r + 259. What is k(42)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 6710 = 5*x. Let n = -520 + x. Let b = -517 + n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130034417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 64*r**2 + 75*r**2 - 293*r**2 + 75*r**2 + 79*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 407773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 - 3913\/15. Which is the third biggest value? (a) 3 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2305 divided by 5.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2))\/(b**(-1)*b))\/(b*b\/(b*b**(-1)))**(-30)*(b*b**(5\/2)\/b*b\/(b*b*b**(-3\/4)))\/(b\/(b**(-3)\/b*b)*b**(-2\/5)) assuming b is positive.\nAnswer: b**(1233\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g + 4. Let x be (-2615)\/798 - (1 - 4). Let n = -1\/114 + x. Which is bigger: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1047 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-14))\/(3\/4). Let m = -66.433 + 70.433. Which is the nearest to -28? (a) t (b) m (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-513)\/(-114)*40\/(-45). Sort 0, 2, 0.2, m, -2 in decreasing order.\nAnswer: 2, 0.2, 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736017.1 nanograms to tonnes.\nAnswer: 0.0000000007360171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let q(p) = p - 1. Suppose 0 = -4*w + 5*g - 11, 2*g + 7 = w + 4*g. Calculate w*q(j) + 4*c(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:07 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110, -503, -1170, -2105, -3302, -4755, -6458, -8405?\n\"Answer: y**3 - 143*y**2 + 29*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {t: 6, u: 1, z: 5, o: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 4*f**2 + 6*f + 4. Suppose 0 = -4*b + v - 52, 2*v + v + 48 = -5*b. Suppose 0*u = 5*u - 35. Let s = b + u. Give y(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665323.4s in microseconds?\nAnswer: 665323400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1))**(-37)\/(((y**(-18)*y)\/y*y*y)\/y**(-1\/11)) assuming y is positive.\nAnswer: y**(582\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/((-54)\/(-12)))\/((-1)\/(-4)). What is the lowest common multiple of 6 and (-206)\/k - (-3)\/(-4)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 6, k: 10, e: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 - (-238)\/(-21))*1\/(-3). Which is the closest to -1? (a) 8 (b) o (c) 0.03 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*u + 2*u - 5, j = 4*u + 17. Let m be (12\/3 + -2)*j. Let i = m - -3. Solve -3*s - v - 20 = -7, -i*v - 26 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44353 is divided by 279?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 27*w - 9. Let a(i) = -2*i**2 - 53*i - 19. Let z(f) = -3*a(f) + 5*n(f). Calculate the lowest common multiple of 20 and z(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*r - 6 = -565*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 6:51 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, -2\/21, -1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24676 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a meter in millimeters?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, z: 6, y: 2}. What is prob of sequence zz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.0940970007 - -2.0941. Round y to 7 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 97.163982 nanoseconds?\nAnswer: 0.000000000001124583125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 13*x - 1. Let i be s(-2). Let p = i + 34. Calculate the greatest common divisor of p and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 64. Suppose 0 = 5*b + 5, c*f - 5*b - 13 = f. What is the closest to 12 in -3, 5\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105816347 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73669174.\nAnswer: 2, 71, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**3 - 2*x**3 - 2*x**3 + 3*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34160457.\nAnswer: 3, 11386819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 27 = -1. Let b be (-18)\/(-8) + 8\/(-32). Sort 9, b, r, 0 in increasing order.\nAnswer: 0, b, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -16\nAnswer: -49\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*h + h - 72, 2*t = 2*h - 44. What is the highest common divisor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n, -22 = 110*v - 111*v - 5*n. What is the closest to 25 in -4\/29, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f - 996 - 1187 = 20*f. Solve -27*i = -f - 103 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 9:56 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 141162 and 6.\nAnswer: 846972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**2 - d - 1. Let o be b(-1). Let x be 1416\/(-295)*(-10)\/6. Let g(k) = 12*k - 98. Let v be g(x). Put v, -4, 4, o in increasing order.\nAnswer: o, -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7652 times -5\nAnswer: -38260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/(176\/660). What is the nearest to 6 in -4, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3524.32l in millilitres?\nAnswer: 3524320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**2. Let a(t) = -9*t**2. What is g(a(y))?\nAnswer: 729*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-30))**16 assuming u is positive.\nAnswer: u**(-480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:23 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + (-126)\/(-60))\/6)\/((-46)\/3910).\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*h + 42, 0 = 4*m - 5*h + 15 - 60. Calculate the remainder when m is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 + 172*y + 1499. Determine d(94).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 11*r + 128. Let l(w) = -w + 5. What is the smallest common multiple of p(7) and l(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2 - -1) + 1. Suppose 0 = o - 5*o - g. Let i = 34 + -101\/3. What is the nearest to o in 5, -2\/13, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 372*x - 374*x + 5, -5*k + 45 = 4*x. Let i be -2 - -4 - (-2 + 1). Let a = 21 + i. What is the remainder when a is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**2 + 241416*o - 482844 = 0?\nAnswer: -80474, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127053909 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 17, p: 2}. What is prob of sequence sps?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6857*l**2 + 129*l - 22. Let v be r(26). What is v rounded to the nearest 100000?\nAnswer: -4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 6235470*u**3 - 6235466*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 10 - (57 + (-41 - 9)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9239*j**2 - 150*j - 292. What is the ten thousands digit of f(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77853 - 51635241?\nAnswer: -51635240.22147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.549 and -5761 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 0 + 0 + (-8*q - 3*q + 56*q)*(4*q**2 - 2*q**2 + 0*q**2).\nAnswer: 88*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -4*j + 20. Let l = -31\/102 - -8\/17. Let z = 13812 + -13808. What is the second biggest value in j, z, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (-6 + 7 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4 - 116*q**3 - 1554*q**2 + 3960*q + 5400 = 0?\nAnswer: -30, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b98 - 1?\nAnswer: 14b97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -10*c - 1. Give d(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1411672 - -1.6332.\nAnswer: -1411670.3668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.1875 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000032629 to seven decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -29*m**3 - 2*m**2 + 2*m - 1. Calculate k(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1481\/10 + -148. Let k = 7\/39 + -31\/52. Let g = -59\/84 - k. What is the second biggest value in g, n, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*n = -2*m + 29*n + 8, 3*m + 2*n = 3*n + 19 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2*f - 14 = 0, -2*t - 8*f = -13*f - 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31938204 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tntdtatyy. What is prob of sequence dtn?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 124*i - 117*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2092, -500, 2156, 5882, 10684, 16568, 23540, 31606?\n\"Answer: z**3 + 526*z**2 + 7*z - 2626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.194 + 1.164. Let d = l + -0.47. Let i = d + 11.594. Round i to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9157*c**3 + 4*c**2 - 9156*c**3 + 0*c**2 - 34 - 4*c in the form l*c**3 + a + w*c**2 + m*c and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - 2023?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 185*q - 63. What is m(2)?\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-5)\/3 - 504\/(-4158)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - f + 3*f + 18, -46 = -3*y + 2*f. Let u = y - 0. Suppose 2*c - 3*c = 2*m - 18, 2*m = c - u. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, k: 1, p: 1, y: 3, x: 6}. What is prob of picking 1 y and 1 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/7 - 30*t**3\/7 + 391*t**2\/7 - 360*t\/7.\nAnswer: -t*(t - 9)*(t - 1)*(t + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 9762260.\nAnswer: -4\/2440565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-2 - 21\/(-6)). Let r be (3 - v\/(-1))*-1. Let u(i) = -5*i**3 + i**2 + 2*i + 1. Let p be u(r). Sort p, 1, 3 in decreasing order.\nAnswer: p, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95953830.\nAnswer: 2, 3, 5, 7, 456923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 893*a**2 - 154478*a - 1874. Determine x(173).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18315281 + 9632916. Let x = j + -27948198.30000008. Let i = -1.3 - x. Round i to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12280450*j**3 + 7083943*j + 3 wrt j.\nAnswer: 73682700*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 6*a - 3*a + (-1 - a + 1)*(-5 + 4 + 2) + 2 + a - 2.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, -1\/41, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 396012 = 4*z, -2*u + z = u + 396003. Round u to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5875 and 15175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 12. Let v = -21 + k. Is (-528)\/v - 3\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 2*t + 12, 5*k - t = 12. Find the third derivative of 175*v**k - v**4 + v - 173*v**2 - 5*v - 2*v**5 wrt v.\nAnswer: -120*v**2 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -3, 3, 3\/46, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002719 rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 253330734 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t + 22*t + 88298 = 0. Is t greater than or equal to 2597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76*115\/(-8740))\/(49*1).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14906048.\nAnswer: 2, 232907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 11415 to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 6*t. Let z be g(-3). Suppose -4*p + z = -2*n, -55 = 2*n - p + 4*p. Let f = -34 - n. Let q(k) = 9*k - 1. Calculate q(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**4 + 3*f**2 + 12*f - 1. Let w(u) = -2307*u**4 - 15*u**2 - 550*u + 6. Let l(p) = 5*o(p) + w(p). Find the second derivative of l(m) wrt m.\nAnswer: -27804*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-107)\/(15729\/1008))\/2.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11235 by -321.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 194, 592, 1194, 2000, 3010, 4224, 5642?\n\"Answer: 102*q**2 + 92*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20401?\nAnswer: 23, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 29*x**2 - 101*x - 83. What is g(-23)?\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 5*q**2 + 0*q**2 + 6 in the form k + m*q + s*q**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70208, -140403, -210578, -280733?\nAnswer: -350868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 49*b**2 - 94*b - 4495. Calculate s(-50).\nAnswer: -2295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127660*r + 383001*r - 127675*r - 127652*r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a - 4 + 4. Let d(j) be the second derivative of -17*j**3\/6 - 596*j. Give w(d(p)).\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of n**3\/2 - 1071*n**2\/2 + 382347*n\/2 + 3610. Let w(a) = 0. What is a?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 10. What is the tens digit of 1194\/18 + i\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6328 = -9*z - 5*z. Suppose -54*m + 58*m = -z. Let y = 117 + m. Solve d = y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 9. Let m(b) = 4*b**2 + 5*b - 3. Let k(y) = -5*y**2 - 4*y + 2. Let j(w) = -3*k(w) - 4*m(w). What is the units digit of j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122 + q + q**3 + 121 + 4*q**4 - 3*q to h*q**4 + s*q + u + y*q**3 + p*q**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480610640 to the nearest integer?\nAnswer: 21923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b - 2*b)*(-9 - 2*b**2 + 9).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11290?\nAnswer: 2, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/2)\/x)**(1\/60)*x**2\/((x*x**5\/x*x)\/x) assuming x is positive.\nAnswer: x**(-361\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45620760, 91241513, 136862266?\nAnswer: 182483019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1 (c) 0.1 (d) 10 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 1791.\nAnswer: 1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5080*l + 12491 - 3673 = -19639 - 7103 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.3. Let d be ((-3 - -13)*-1)\/(-2). Let j be (d - 2)\/(3\/(-2)). What is the nearest to g in -1\/10, 0.4, j?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 29*n**2 - 1498*n + 3772. Determine p(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13200003012 + -13?\nAnswer: 13200002333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 9, 3 in ascending order.\nAnswer: 3, 9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64\/185 + 2\/37. Let s = 153 + -161. Let p be 6\/s - 28\/(-32). Sort i, p, -0.4, 3 in descending order.\nAnswer: 3, i, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**4 + 52*x**3\/3 - 2*x**2 - 52*x - 151. Determine z so that d(z) = 0.\nAnswer: -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1976.1388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 166.96 in descending order.\nAnswer: 166.96, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 + 7*j**2 - 11*j + 15669. What is the ten thousands digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37.7 - 40. Let n = -0.2 + j. Let w = -0.54 - n. Round w to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13923 - 13923 - 110*q)*(2*q + 2 - 2) to w*q**2 + y + j*q and give w.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2\/3 + 170*a\/3 + 175\/3.\nAnswer: -5*(a - 35)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**2 + 4028*n - 24024 = 0. What is n?\nAnswer: 6, 1001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -644. Does 37 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30856 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: Four letters picked without replacement from {x: 1, g: 8, m: 8}. Give prob of sequence mggg.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14058 and 284?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sqsssssqqsssssrs.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 14488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415374488?\nAnswer: 2, 359, 144629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6683 - -6685. Let w(s) = -21*s**3 - 25*s**2 + 3*s + 7. Let o(l) = -1 + l + l**3 + 4*l**2 - 3*l**2 - 2*l. Let g(u) = j*w(u) + 14*o(u). Factor g(q).\nAnswer: -4*q*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3740389344 and 1.138.\nAnswer: 3740389345.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 3*p**3 + 3*p**3 + (-7*p - 47*p - 80*p)*(5*p - 183*p**2 - 4 + 181*p**2 + 1).\nAnswer: 270*p**3 - 670*p**2 + 402*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5 - 12 - w - 7 + 3. Let q be i(11). Is 24 a factor of q\/(-6)*(-315)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*f**2*k**3 + 5*f**2*k + 153*f**2 - 7154047*f*k**4 + 1167*f - k + 7 wrt k.\nAnswer: -54*f**2*k - 85848564*f*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**3 + 0*t**4 - t + 2*t**4 - t**3 + 0*t**4 in the form x*t**4 + q*t**2 + p + m*t + y*t**3 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 o when four letters picked without replacement from {r: 4, o: 16}.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k - 42 = -15*k. Let x = -22 - -9. Let m = x - -18. Sort m, -0.3, k, 3 in increasing order.\nAnswer: -0.3, k, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.16. Let z = -0.1 + y. Let b = -0.4 + 0.3. Is b >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-7 + 3 + 5) - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -0.096.\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 285, 412, 539, 666, 793?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186927 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:07 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(2 + 4 + 3)*(7 - 7 - 4*q)*(28053*q**2 + 1 - 28016*q**2 - 8) to the form f*q**3 + u*q + r*q**2 + l and give f.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 150439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -167+-1149841\nAnswer: -1150008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1. Let x be ((-84)\/(-2142) + (-140)\/102)*6\/8. Let q(j) = 7*j + 2. What is x*q(f) + c(f)?\nAnswer: -7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/477243 and 16\/117.\nAnswer: 477243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5712, -11425, -17138, -22851, -28564, -34277?\nAnswer: -39990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22444223 (base 6) to base 2\nAnswer: 10101000100011110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/(-92))\/((-8)\/4)*16\/46.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + 2*j - 2*j + 0 + j**2 + 0 + (-3*j**2 + 3*j**2 + 2*j**2)*(-3 + 6 - 2) - 13*j + 7*j**2 + 13*j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**32\/(l**(1\/3)*l)**33 assuming l is positive.\nAnswer: l**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in sixty-seven fifths of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 11:37 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31815 and 5266746.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -22*w + 47. Let g be i(1). Which is the nearest to 0.2? (a) g (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.5. Let r = -139 - -84. Let y be r\/(-22)*(-1)\/5. Which is the second biggest value? (a) 2 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 502212 and 3264.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2753454134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233629037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 25, 5, -13\/15?\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/9, 0.3, -4\/7, -1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g**2 + 222*g**3 - 74*g**3 + 1 - 69*g**3 - 78*g**3 - 5*g. Let s be (((-384)\/(-40))\/8)\/(3\/10). Determine a(s).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 16 + 139*z + 9 + 2*z**2)*(3 + 3 - 4).\nAnswer: 4*z**2 + 278*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*j + 0*j**3 - 16*j - 2*j**3 to the form q*j + r*j**2 + l*j**3 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 5 = -35. Let m be ((h\/14)\/2)\/(-1). Sort -0.36, 3\/5, -3\/4, m in decreasing order.\nAnswer: 3\/5, m, -0.36, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 100*d**3 - 45*d - 45. Let f = -38 - 7. Let x(y) = 9*y**3 - 4*y - 4. What is f*x(p) + 4*c(p)?\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 3*n**3 - 8 + 10*n - 7*n + 2*n**3 - 4*n**3 in the form m*n**2 + h*n + j*n**3 + k and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -341 + 341. Suppose -133*w + 130*w + 477 = i. What is the highest common factor of w and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (0 + sqrt(448) - sqrt(448))*5 + 5)**2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/((-24)\/10)*2. Let r(f) = f**3 + f. Let w(o) = 4*o**3 + 5*o. Give x*r(c) - w(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4295 and 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859428?\nAnswer: 2, 3, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:47 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 255 divided by -51\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*n + 228 = 80*n. Let a(c) = -2*c**3 - 4*c**2 + 16*c - 5. Let g(h) = -h**3 - h**2 - h - 1. Give n*g(x) + a(x).\nAnswer: 2*x**3 + 20*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 5*i + 13, 2 = -4*d - 2*i + 16. Suppose -16 = -8*w + d*w. Differentiate w - 15*y - 42 - 15*y wrt y.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*sqrt(8)\/sqrt(4)*1 - (sqrt(198)\/(sqrt(11)*-5) + sqrt(18))*1)**2.\nAnswer: 4608\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15202 - -19897. Which is smaller: c or 4692?\nAnswer: 4692","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -277*o + 281*o - 44, -4*x = 4*o - 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -0.3 (c) 0.1 (d) -4 (e) 4 (f) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.52 + -0.7. Which is bigger: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 7*h - 6. Let s = -1544 + 890. Let t = -658 - s. Give b(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79212 - -5\nAnswer: 79217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l + 35 - 3, -12 = -3*l. Suppose 4*b + 2*u - 156 = 0, -7*b + k*b + 5*u = -142. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/12)\/((-904)\/64 - 2). What is the biggest value in -3, s, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745937?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4345 - 4337. Calculate the lowest common multiple of 30468 and k.\nAnswer: 60936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -63\/16?\nAnswer: -63\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103894 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 3\/2 (c) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 203763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*c + 70 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (637\/(-84))\/13*8\/(-28)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380939273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7015*g**2*k**2*p**3 + 2*g**2*k*p**3 + 9*g**2*k + 4334*g**2*p - 688*g*k**2*p + g + 2*k*p**2 wrt k?\nAnswer: -14030*g**2*p**3 - 1376*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2 = 34. Let k = 947\/44 - 234\/11. What is the second biggest value in s, -2\/9, k?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24.7 (b) 13\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2935868446 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 46*o + 8 = 3*p, -2*p - 12 = -o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5415*l**3 - 60729 wrt l.\nAnswer: 16245*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161\/3 - -1289\/24. Let j(g) be the third derivative of 0*g + 0*g**3 + 1\/30*g**5 + 0 + g**2 + a*g**4. Factor j(n).\nAnswer: n*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.28218 times 0.4\nAnswer: -0.112872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 3:48 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2*b + 21, -j = j + 10. Suppose 3 = -3*w + b*t + 21, 5*t + 9 = 2*w. What is the remainder when w is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 greater than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 923169802 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 3. Let k(r) be the third derivative of -r**5\/60 - r**4\/4 - r**3\/2 + 3*r**2. What is k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -98*j + 11. Let u be z(24). Let t = -28115\/12 - u. What is the common denominator of 6\/15 - (-243)\/80 and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522357 divided by 33?\nAnswer: -15829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/9)\/a)\/(a*a**4)*a**28\/a**(-23) assuming a is positive.\nAnswer: a**(407\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4667882.\nAnswer: 2, 19, 122839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -8.5. Let j = 1.6 - r. Which is the nearest to j? (a) 0.4 (b) 5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 141 = x - 4*x, 0 = -4*x + 2*c + 218. Let y be x\/(-208) + (-35)\/4. Let j(w) = -w**3 - 10*w**2 - 11*w + 8. Determine j(y).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254994 and 171.\nAnswer: 14534658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 155 - 151. Suppose 4*q - d + 16 = 4*f, -f + 4*q = -12. Suppose 4\/5*s + f - 2\/5*s**2 + 2\/5*s**4 - 4\/5*s**3 = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/16)\/(6\/(-48))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220493461.\nAnswer: 19, 11604919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 330 and 1210?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18924520?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 6. Let x be ((-5)\/(-4))\/((-1859)\/(-88) - 21). Do r and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((54\/(-45))\/(-3*10\/(-75)))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 259, 369, 463, 535, 579, 589, 559?\n\"Answer: -v**3 - 2*v**2 + 123*v + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 28 = 8*i. Calculate the greatest common factor of 28 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97 divided by 8\nAnswer: 97\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 11*g - 77 = -9*g, g = -1. Is 112 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from {x: 6, k: 8, v: 3}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -38*w + 121. Calculate k(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v. Let s(b) = b**3 + 2*b**2 - 6. Let i be s(0). Let h(c) = 2 + 5*c - 6 + 2 - 2*c. Let x(k) = i*w(k) + 3*h(k). Differentiate x(y) with respect to y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*v**2 + 2\/11*v**3 + 32\/11*v - 24\/11 = 0. What is v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05732 rounded to 3 decimal places?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*l + 303 - 517 = 644 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 6*r - 8. Let q be t(2). Let d = -33 - 6. Let x = -41 - d. Which is the nearest to q? (a) 0 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -20*z + c - 3, 29 = -4*z - 5*c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*b - 14. Suppose -5*h - 5*r = -35, 4*h - 5*r = 8 + b. Solve 4 = h*w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*x = 20, 3*x - 3 = 2*s + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4735 by -5.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + d**4 + 2*d - 5*d**4 - d**4 as o*d**4 + p*d + q*d**3 + l + v*d**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 4. Let y be x(-6). Suppose y*r - r - 12 = 0. Let o = r - 7. Solve -2*c - o = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10736?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65420?\nAnswer: 2, 5, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:09 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, k: 4, b: 2}. Give prob of sequence xxbx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(2\/3)*x)**(-2\/33)\/((x**5*x)\/x**6) assuming x is positive.\nAnswer: x**(-8\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + h + 4 = 0. Suppose 20 = 5*j - 3*d - 2*d, 17 = 5*j - h*d. Is 3 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 4}. What is prob of picking 3 d and 1 v?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(96)\/sqrt(3) + (sqrt(2) - (sqrt(2) + -2)*-6) + sqrt(2))**2.\nAnswer: -1728*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2*sqrt(931) - sqrt(19)))**2 + (1 + sqrt(19) + sqrt(171) - (0 + sqrt(171))).\nAnswer: sqrt(19) + 115597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, a: 3, s: 2, c: 1, i: 1}. What is prob of sequence assa?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -14*p + 54. Let g(v) = v + 13. Let d(i) = 4*g(i) - w(i). Let y(c) = 19*c - 2. What is 3*d(r) - 2*y(r)?\nAnswer: 16*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 213.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 53737475 to the power of 1\/2, to the nearest integer?\nAnswer: 7331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2e69 (base 15) to base 12.\nAnswer: 5953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 29033 (c) 2 (d) -233\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4718 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16652, 31985, 47318?\n\"Answer: 15333*r + 1319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 213 + 25\/4*t**4 + 6*t**5 + 0*t + 5\/6*t**6 + 0*t**2 + 0*t**3. What is o in z(o) = 0?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4619586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, v: 5, x: 1, e: 5, s: 1, m: 1}. Give prob of sequence vsvt.\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11105 or -11088?\nAnswer: -11105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*s + 26 + 2, 2*s + 16 = 4*y. Let z = 89 + -68. What is the remainder when z is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -10 - (2 - (5 - (14 + -6)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k = 24*k - 1, 0 = 4*a - 3*k - 13. Solve -3 = -a*t - 15, -2*t - 10 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -8. Let d be 0 + 2\/6*3. Let m = 978\/5 - 195. Which is the second smallest value? (a) j (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n + 32 - 15 + 17*n**2 + 9*n + 3*n - 6*n**3. Let x(a) = -a**3 + 3*a**2 + 3*a + 3. Let g = 710 - 716. Calculate g*o(t) + 34*x(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**5 + 158*h**3 + 2*h**5 - 389*h - 156*h**3 + (-2*h - 2*h**2 + 2*h)*(4*h**3 + 0*h**3 - 2*h**3).\nAnswer: -2*h**5 + 2*h**3 - 389*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 9*l - 7*l + 55*l + 1.\nAnswer: 39*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(((sqrt(171) + 0)*3 - sqrt(171) - (3*(sqrt(171) + 0) - sqrt(171))) + 3) + 4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of 297*s**6\/20 - 91*s**4\/24 - s**3\/6 + 28*s**2 - 5*s. Find the second derivative of b(k) wrt k.\nAnswer: 10692*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 441854 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20341 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92248 is divided by 30743?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -36.1 and 56854.\nAnswer: -2052429.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -2. Suppose 1 + 39 = 4*g. What is the smallest common multiple of n - (-2)\/((-6)\/(-27)) and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 12. Suppose 0 = -w*f - 20, -4*u + 4*f + 20 = -8. Find the second derivative of -5 + 5 + 3*z - u*z**4 + z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**8\/210 - 5*s**4\/12 - 2*s**3\/3 + 10*s**2. Let v(n) be the first derivative of l(n). Differentiate v(b) with respect to b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 62. Let y = s - 18.8. Which is the biggest value? (a) -2 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6*s + 8 = 2*z, 5*z - 2*s - 20 = 0. Solve -3*f + z*y = 2 - 12, 9 = 4*f - y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -6*n**5\/7 - 604*n**4\/7 + 6998*n**3\/7 + 12924*n**2\/7 + 5328*n\/7 = 0?\nAnswer: -111, -1, -2\/3, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Let i be (2 - 7 - -4)*-4. Solve i = o*j - 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 170 + 17*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 36 + 10 + 16 - 24.\nAnswer: m**2 + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 + 109 = -3*o - 4*f, 0 = -3*f. What is the remainder when o is divided by 47?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1250, 1202, 1100, 944, 734, 470, 152?\n\"Answer: -27*y**2 + 33*y + 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/2880 + 1163\/31680. What is the fourth biggest value in -3\/5, t, -5, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q**2 + 18*q. Let i(r) = 109*r**2 + 106*r. Let m(f) = -34*h(f) + 6*i(f). Find the second derivative of m(k) wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 2*y. Suppose 3*j - 20 = -s - 3*s, -5*s + 26 = 4*j. Suppose 3*i + 0 = -4*n + 6, 0 = s*i - 3*n + 13. Determine q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 3. Let h(w) = w**2 - 4. Let a be h(8). Suppose 0*g + a = 3*g. What is the greatest common factor of g and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 763640701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 5*k**2 + 11*k + 25. Does 57 divide g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2. Let n(z) = 3. Let f(y) = -2*l(y) - n(y). Let d(p) = -p - 3. Suppose k + 9 = 4*k, k + 12 = -5*i. Let a = i + 8. Determine a*f(b) + 2*d(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (6 + -4)) + -11 + 69 + 5.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:12 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)\/(n\/(n\/n**(-3\/4))))**1\/(n**(2\/9)\/n*n*n**(-2\/15)*((n**1*n)\/n)**27) assuming n is positive.\nAnswer: n**(-33907\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/19, -1\/3, -8743?\nAnswer: -8743","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105691.\nAnswer: 105691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14471 - -827?\nAnswer: -13745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(3\/1))\/(21\/3024). Suppose r = 5*p + 11*p. Solve -p = 3*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*d)*(-2*d - 2*d + 3*d) + (-d - 3*d + 3*d)*(0*d - d + 2*d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45626 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3\/7 - 2*h**2 - 32*h\/7 - 24\/7 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68)\/884)\/((-13)\/4563).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 1255579686.83.\nAnswer: 1255579686.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 190 and 187 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let z = -5 + n. Let r = z - -1.5. What is the biggest value in r, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + k - 4*k + (3 + 2 - 2)*(-2*k + 4*k - 3*k) + 1 - 1 - 2*k)*(2 + 3 - 4)*(-5*k + 2*k - 3*k) to t*k + p + c*k**2 and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, -2\/7, 4, -2 in increasing order.\nAnswer: -2, -2\/7, 4, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 981 divide 71975556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 938 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 the value of (-15 - -4 - -7) + -2 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2 + 16714*m + 33432 = 0. Calculate m.\nAnswer: -2, 16716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -0.2, 1\/2, -4, -0.11, -8 in descending order.\nAnswer: 1\/2, -0.11, -0.2, -0.8, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -9 - 4)*(-8)\/(-50)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105.814 rounded to zero decimal places?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 548 = -2388. Suppose 3*k = -2*q + 510, 2*k + 2*k - 684 = -4*q. Let j = x - k. Calculate the highest common factor of 25 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -26*y - 11*y + 4*y**2 - 179*y + 2916 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19987 (base 11) to base 13\nAnswer: -c86a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + -29 + -125 + (373 - 255)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/20)\/(1\/(-2)))\/(2053\/(-2053)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - 4*l**2 - 27*l + 14. Let f be d(-8). Let q = -201 + f. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10883 is divided by 10862.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 7*f**5\/4 - 17*f**4\/12 - 27*f. Find the third derivative of p(g) wrt g.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose h*y - 2*r = r + 2, y = -3*r + 19. Suppose -3*p + 20 = -y. Calculate the greatest common divisor of p and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 533054?\nAnswer: -19\/533054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**2 + 22*f - 8. Determine c(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-81)\/84 + 1). Let m = 282\/5 + y. Factor 0 + 0*r**4 - m*r**3 + 2\/5*r**5 + 0*r**2 + 0*r.\nAnswer: 2*r**3*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8041 and -0.0198.\nAnswer: -0.01592118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -753.5897825 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + i + 32 = 159, -2*t - 256 = -3*i. Let j = t + 554. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -21*d**2 + 7*d - 82. Let f be h(10). Let u be ((-1)\/2)\/(32\/f). What is the highest common divisor of u and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-2 + 4 - (-1 + -2 + sqrt(200)))**2.\nAnswer: -420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 22. Let b be c(-16). Let z(j) be the second derivative of -2\/3*j**2 + 0 + 7\/90*j**b + 3\/4*j**4 + 3*j - 2\/9*j**3 - 13\/30*j**5. Factor z(r).\nAnswer: (r - 2)*(r - 1)**2*(7*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*7\/42 + 1 + 15.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 18*j - 85. Let u be w(-9). Let c be u*((-460)\/(-16))\/(-5). Which is bigger: 70\/3 or c?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -609, -1218, -1827, -2436, -3045?\nAnswer: -3654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2255*n - 12609*n + 145620*n.\nAnswer: 130756*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 422808437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -807, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 255811952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 303 + -149. Suppose -c - 2 = -s - 0, 6 = 3*s. Suppose -2*m + t = -c*m. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26 (b) -646 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*o - 2. Suppose 2*t - o*t = 0. Suppose t = -3*m - 2*u + 71, 44 = 6*m - 4*m - 2*u. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2395410395 and 5285.\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 324 - 446. Let b = a + 133. What is the biggest value in b, 0, 6, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -466 + 466 - k**3 + 7*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = -5*c - 0*c, -4*c + m = -11. Let h be -3 - (0 + -10 - c). Let u = h - -14. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2464 = -0*v - 11*v. Calculate the greatest common factor of v and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55587960 and 119544?\nAnswer: 55587960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 > 10.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/5*(1 + (-4)\/3). Solve 0 = 5*b + 3*f + 16, -z = -f - 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5431, -5428, -5425, -5422, -5419?\n\"Answer: 3*f - 5434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = h, -3*h = -4*c. Suppose c = w - 11 - 71. Suppose -2*d - 358 = -6*d - 2*p, d + 3*p = w. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -22 - (-39 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4479 - 18\/(-2))*-1. Let p = 18991 - o. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248321968 to the nearest integer?\nAnswer: 15758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.29602 * 51.\nAnswer: 15.09702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48543 (base 11) in base 10?\nAnswer: 69864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*i + 360*i - 407*i + 893*i + 791*i.\nAnswer: 1528*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1405 - 4?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + w)*(-76*w - 78 + 78 - 4*w + 2*w + 0*w + (3*w + 11 - 11)*(-2 + 2 - 2) - 2*w - w + w).\nAnswer: -86*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 361 - 479 - (-6 - -14)\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 113*l**2 - 109*l + 297. Give a(4).\nAnswer: 1669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13056 + -13077. Put -0.3, 3, 1.2, x in descending order.\nAnswer: 3, 1.2, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (0 + -9 - -5)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = -5*h - 2*b, -2*h + 7*h + 4*b + 71 = 0. List the prime factors of (-3)\/h + 1358\/10.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 0 - (-4 + 3895\/(-5)). Calculate the greatest common divisor of 29 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189*i**2*u**2 - 13*i**2*u - u**4 + u**2 + 5*u wrt u.\nAnswer: -378*i**2 - 12*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2471 - 4217. Round q to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 9*t**2 + 11*t - 13. Let x = 261 - 251. Give p(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 543?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + 59 - (9 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 + 12*r - 29. Let w(s) = -s**2 - 13*s + 30. Let d(u) = 2*l(u) + 3*w(u). Let z be d(13). Suppose -z*p = -621 - 75. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1132*w**2 - 4*w**4 - 229*w + 90*w**3 - 147*w - 3*w**4 + 556*w**3.\nAnswer: -w*(w - 94)*(w + 2)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 2*c**2 + 4*c**2 + (-c + c + c)*(-c - 2*c + 5*c))*(3 + 3 - 5)*(-8 - 6 - 14).\nAnswer: -112*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -171, -189, -207, -225, -243?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8*a - 36. Suppose -3*l - 3679 + 3664 = 0. Calculate m(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or -382?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2 - 1\/60*x**5 + 3*x**2 + 0*x + 1\/2*x**3 - 1\/4*x**4. Let d(q) be the second derivative of b(q). Give d(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 + -73. Let c(s) = 5*s + 25. Let z be c(t). Which is greater: -32 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 1\/3*10. What is the nearest to 1\/4 in u, -0.03, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - -11 - (-3 + 3 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -13 - 1 - ((-10 - -29) + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -828 + 71*x**2 - 1155 + 671 + 89*x**2 + 132*x - 156*x**2.\nAnswer: 4*(x - 8)*(x + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 10073 = -10327. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*l + 4*a - 22 = 276*l, -3*a = -5*l + 179. What is the remainder when l is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9596 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*r - 1058752 = -208*r. Calculate the greatest common factor of r and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*j - j = 173*j + 1359*j + 101321 for j.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -12*c - 53 + 22*c**2 + 38 + 37*c. Is l(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80553, -80543, -80549, -80577, -80633, -80723, -80853, -81029?\nAnswer: -81257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 83. Suppose 4*b + 8 = -j*x, 2*b - 28 = -3*x + 4*b. Let l(p) = -6 - 1 - p**2 + p + 4*p. Give l(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 45 - 28*q + 41 - 86 as m + d*q and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -612 + 1440. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*2\/((288\/(-40))\/9)*-1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 581345, 581238, 581063, 580820, 580509, 580130?\n\"Answer: -34*o**2 - 5*o + 581384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 27, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21\/11 + 646\/33. Suppose 1755 + 2341 = 2*y. Let q = 16325\/8 - y. What is the common denominator of i and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3917, 5, 2, 1, -55, 3, 7 in decreasing order.\nAnswer: 7, 5, 3, 2, 1, -55, -3917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 12 + 53 = 0. Suppose 5*n + d + 200 - 81 = 0, -q*d - 115 = 5*n. Sort -5, -0.5, n in ascending order.\nAnswer: n, -5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 5*k**2 - 8*k - 1. Let q be u(-2). Solve q*a = 3*y + 2*y - 32, 0 = -5*a - 4*y - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198070 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -20*6*(-4)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*u**2 - 44*i**3*u + i**2*u**2 + 65*i**2*u - 341*i**2 - 18336634*i*u**2 wrt u.\nAnswer: -2*i**3 + 2*i**2 - 36673268*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(65) - (sqrt(65) + sqrt(65)*2))*-4 - ((sqrt(65) - sqrt(65)*2)*-6 + sqrt(65))))\/(4*(sqrt(320) - sqrt(5)) + -2*sqrt(720)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*i + 4*v + 25, 5*i = v + 87. What is the remainder when 72 + -1*(1 + 0) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -24. What is the least common multiple of g and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12456 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eum when three letters picked without replacement from ekukmekeemuuupeke?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 3*d - 3. Let f(p) = -12*p**2 - 34*p + 34. Let m(h) = -6*f(h) - 68*s(h). Let b(n) = 45*n. Give b(m(z)).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 5*l**3 - 3*l**2 + 3*l - 3. Let u(b) = -2 - b**2 + 125*b**3 - 5*b + 7 - 67*b**3 - 69*b**3 + 6*b**2. What is 10*d(s) + 6*u(s)?\nAnswer: -16*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y + 5. Let m(o) = 3*o - 4. Let f(p) = -3*m(p) - 2*z(p). Let c be f(2). Is (-493)\/(-9) + c\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-9))\/w**(-14))\/(w*w**(-2\/3)*w*w**3) assuming w is positive.\nAnswer: w**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)\/w)**(-2\/37)*w**0*w**2)**(2\/85) assuming w is positive.\nAnswer: w**(164\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rff when three letters picked without replacement from {u: 2, m: 5, f: 3, y: 1, h: 6, r: 3}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, w: 3, x: 13, c: 2}. Give prob of picking 3 w.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*x**4 - 3583*x + 3583*x + (0 + 0 - 2*x**2)*(-4*x**2 + 5*x**2 - 3*x**2) + 2*x**4 + x**4 - x**4 + 2*x**4 + 5*x**4 - 6*x**4.\nAnswer: -55*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -0.4. Let h = 0.2 - c. Let d = h - 1.1. What is the second biggest value in 6\/5, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.875 - 0.255. Let m = p + -0.07. Let o = m + -1.8. Which is the smallest value? (a) -0.4 (b) -0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 9 = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 2*c + 102*c = 778228. Calculate the greatest common divisor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -4.2099473?\nAnswer: 16.8397892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 50, 117, 212, 335?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 + -240.919. Let h = -0.209 - q. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1572 - 1525. Which is the nearest to -0.2? (a) -5 (b) 1 (c) -1\/4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7685.\nAnswer: 5, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2249, 2251, 2251, 2249?\n\"Answer: -z**2 + 5*z + 2245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11466 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26408 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-4))\/((-10)\/4). Let f = 0.44 + -0.04. Which is the closest to -1? (a) 3\/7 (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and -811.025295?\nAnswer: 811.105295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -495 and -0.5?\nAnswer: 247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = -3*j + 70, j = d - 25. Suppose -2*p = -r + 3, -5*r + d = 7*p - 3*p. What is the third derivative of -i**6 - i**r + i**5 - 2*i**2 wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 506 divided by -253.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -5 + (18 - (-1 - -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 2217623.0544.\nAnswer: -2217623.2544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 - (800\/(-10) + -8). Suppose 6*j - j = 3*v + 153, 4*v - q = -3*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 + j**2)*(2*j + 2*j - 3*j - 2*j + 4*j + j + (-5 + 3 + 1)*(j - 6*j + 3*j) - 2*j + 0 + 0).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, 2, 45, -1 in descending order.\nAnswer: 362, 45, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, q: 4, h: 1, n: 2}. Give prob of sequence nh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46 - 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 16. Let p = -12 + g. Let f = p - -10. Is f at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 - -3. Let k be 2 - 1*n\/(-30). Which is the third biggest value? (a) k (b) -4\/5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-4) - (0 - (-4)\/(-16)). Let f be q\/11 + (-12)\/(-66). Solve -4*b = -f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1132 + -1131. What is the third smallest value in j, -0.1, -6.6, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 39.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6039.73184 minus -0.117827?\nAnswer: 6039.849667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/18751 and 12\/28747?\nAnswer: 31707941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -565.\nAnswer: 6780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697041.\nAnswer: 37, 72893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g + 7*g + 13*g)*(2*g**3 + g**3 - g**3).\nAnswer: 66*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 12:37 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**2 - 11*y**2 - 5*y**2 - 6*y + 13*y**2 to the form k + g*y**2 + v*y and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 15\/2*m**3 + 9\/2*m**2 - 3*m + 0 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 25 = 23. Solve 3*l - 4*k = k + 21, f = -3*l - 3*k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)\/s*s)**24*(s\/s**16*s*s)\/s**(-1\/39))**1 assuming s is positive.\nAnswer: s**(-272\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 6*j**2 - 8*j + 8. Does 14 divide o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1\/10)*s*s**6\/s)\/(s**(1\/2)*(s*s**(2\/5))\/s*s) assuming s is positive.\nAnswer: s**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1188 (base 9) to base 10.\nAnswer: -890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hvw when three letters picked without replacement from {w: 3, v: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2390286?\nAnswer: 2, 3, 31, 71, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4. Let u(l) = 3*l + 303. Calculate -15*b(m) + u(m).\nAnswer: 3*m + 243","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -44?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**3\/6 + v. Let b(j) = 9*j**2 + 4. Let o(s) = 1. Let y(t) = -b(t) + 4*o(t). Give x(y(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/48411 and -61\/7577055?\nAnswer: 250042815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11245 by 173.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -55 + -21 + 35\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-18 - -16) + 1 + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 6*s + 25347 - 25329, -2*u + 18 = -4*s for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g**5 - 196*g**4 - 640*g**3 + 6640*g**2 - 10304*g + 1536 = 0 for g.\nAnswer: -6, 1\/6, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. What is the first derivative of f - 4 + 3 - 2*o + 0 wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-72)*32\/12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1342*o - 3*o**4 - 26*o**2 - 1345*o + 0*o**4 + 2688*o + o**4 in the form p*o**3 + m*o**2 + l*o + q + h*o**4 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.87 - -32. Let x = -0.065 + 846.565. Let j = 847 - x. Which is the biggest value? (a) 2 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 208 + -201 - (2 + (8 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, s: 1, z: 4, i: 3}. What is prob of picking 3 a and 1 i?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 891, 888, 881, 870, 855, 836, 813?\n\"Answer: -2*o**2 + 3*o + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 9*y**2 + 2*y**3 - 6 + 3*y**3 - 6*y**3. Let z be w(9). Let c be (-15)\/(-4) + z\/8. Solve a - c*a - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 597, 1\/5?\nAnswer: 597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 4*d**2 - 5*d - 5. Calculate the remainder when 131 is divided by r(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffkvfvffkfpfp. Give prob of picking 1 k and 2 v.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75, -80, -87, -96?\n\"Answer: -a**2 - 2*a - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -591\/4279 or -1?\nAnswer: -591\/4279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38312 is divided by 34.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.139 - -11.761. Let f = i + -0.9. Let l = f - 13. What is the nearest to 0.1 in 2, 3, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) -7 (c) 0.4 (d) -16.6 (e) -2 (f) 151\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2452609 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12 = 3*c, -5*c - 40 = -3*a - 0*c. Calculate the remainder when (-121 + 123)\/((6\/(-73))\/(-3)) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 + 0.1. Let l = 48462.5 + -48463. Which is the second smallest value? (a) -4 (b) l (c) t (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/16*-8*(-1)\/3.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 13*u**2 + 490*u - 58. Does 10 divide b(-43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v + 2. Let d be a(1). Let w = d - 3. Suppose w - z**3 + z - 7 = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -342 divided by -266399\nAnswer: 18\/14021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 2*g + 3. Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1521 is divided by 945?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 3 - 1)*(-4*s + s + 4*s).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 7, -2.3, -236, 0.1, -50 in descending order.\nAnswer: 7, 0.1, -2\/3, -2.3, -50, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**4 + 87502010*t**3 - 382830525211805*t**2 + 3828298689469800*t - 9570741254802000.\nAnswer: -5*(t - 8750196)**2*(t - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/14 (b) 1.3 (c) 0 (d) -10273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i - 50 = 50*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43669524147 - 43669524545.00000414. Let y = -398 - f. What is y rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246b0 (base 12) to base 4\nAnswer: 30003210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 6. Let m be (22 + -19)*(-2)\/(-6)*0. Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -656*0.084.\nAnswer: -55.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30)\/4)\/(42505\/(-4250) + 10).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 + 90*n**3 + 195*n**2 + 100*n = 0 for n.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from tkktttttkkktkk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -13, 1, -1767\/109, 2\/83?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 + -205.2. Let s = 16 - l. Let d = 7 + -5. What is the nearest to s in d, 8, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8921 + 50778. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 - (-124)\/20 - (-79)\/5. Put s, -3, 2 in increasing order.\nAnswer: -3, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103341?\nAnswer: 3, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**6\/1260 + m**5\/70 + 5*m**4\/84 + 13*m**3\/2 + 5*m**2. Let z(v) be the first derivative of t(v). Factor z(k).\nAnswer: 2*(k + 1)*(k + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 = -4*p + 3, -3*p = -6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, -4, 153, 2 in decreasing order.\nAnswer: 153, 2, 0, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/4, 1\/9, -0.0654, -4\/3 in descending order.\nAnswer: 1\/9, -0.0654, -1\/4, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 11136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8*v**5 - 50*v**4 - 14*v**3 + 8*v**2 + 10. Let r(f) = -f**5 - f**3 - 1. Let a(j) = -10*r(j) - x(j). Suppose a(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 185. Let k = 13 + -10. Suppose c + 2*p = -0*p + 2, -3*p = -k*c - 3. Is n(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w + 3. Let t(s) = 758*s - 17. Calculate -t(p) - 6*y(p).\nAnswer: -752*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1069 + -1056. Calculate the greatest common factor of 3432 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*w**5 - 12*w**4 + 4*w**2 = 0. What is w?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 5:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from bhlqhqfqqlhbbqq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -37 and 7.0255?\nAnswer: -259.9435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 11 - 107 = 0. Suppose 19 + 11 = -k*o. Sort 57, -2, -1, o in decreasing order.\nAnswer: 57, -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34728093.\nAnswer: 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 3467784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 11:57 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.532\nAnswer: -2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 115*x**2 - 19*x + 179. Is j(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.37359 to one dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ynqzznzz. Give prob of sequence yz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 10 = -3*w, 13 = -4*t + 5*w. Let a be t\/((-9)\/(-2) - 3). Solve -6 - a = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -0*m. Let l be 14 - 15 - m*4. Suppose 5*s = 15, 3*j - 3*s - 11 - 1 = 0. Solve 2*b + 20 = 4*r, l*r + 2*b - j*b = 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p - 9. Let i be ((-64)\/(-12) - 4)*3. Suppose -2*a = -i*w + 6, 20 = -5*a + 4*w + w. What is the remainder when 47 is divided by x(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/5)\/((-4)\/5). Let y = -106 - -112.4. Let d = y - 6.3. Sort d, a, -0.4 in decreasing order.\nAnswer: a, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0582 rounded to three decimal places?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0786 and -25432341?\nAnswer: 25432341.0786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -274, -234, -158, -28, 174, 466?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/40)*q)\/q**(-1\/5))\/(q**11*q*q**(2\/69)\/q*q) assuming q is positive.\nAnswer: q**(-29957\/2760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/6 and -3\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1256 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4624*w**5 - w**4 - 17*w**3 + 1545298*w**2 wrt w?\nAnswer: -277440*w**2 - 24*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 172\/32 - -1 - 3. Let x = g - 29\/8. Let n(w) = -w**3 + 3*w**2 + 9*w + 1. Let v be n(5). Put 0, v, x, -10 in increasing order.\nAnswer: -10, v, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 3*j**2 - 5*j**2)*(-2 + 0 + 1)*(-49*j - 49*j + 100*j - 19).\nAnswer: 4*j**3 - 38*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-328746)\/84677)\/((-2)\/17)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -731 + 733. Sort 2\/9, o, 6 in increasing order.\nAnswer: 2\/9, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + 4*i, 3*g + 6*i - 10 = 2*i. Suppose g*m = -5*v + 20, 0 = -v - 3*m + 17. Solve -6*n = -v*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.55 rounded to one decimal place?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -111*v**5 - 2037*v**4 + 25455*v**3 - 13515*v**2 - 25344*v + 15552 = 0. What is v?\nAnswer: -27, -1, 24\/37, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 441675784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1164 or 1280?\nAnswer: 1164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6217 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - k)*(-3*k + 10 - 10)*(1 - 3 - 2).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1106, 2213, 3320, 4427, 5534, 6641?\nAnswer: 7748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let z be (7\/9 - (-50)\/225)*-3. What is the biggest value in p, 3\/8, z, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -59 in decreasing order.\nAnswer: 5, 2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20367*n - 13249 wrt n?\nAnswer: 20367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*d - 20, -74*w - 6 = -69*w + 4*d. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*(-9)\/90.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11736823 and 1715?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.65 + 153.6052986.\nAnswer: 155.2552986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**3 + f**2 - f - 6. Let p be z(-3). Let s = p + 291. What is the remainder when 45 is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let x(a) = a**3 - 10*a**2 + 17*a - 9. Let h be x(8). Let i be z(h). What is the third derivative of 10*t**6 + 5*t**i + 119 + 112 - 231 wrt t?\nAnswer: 1200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143*c**3 - 386*c**4 - 143*c**3)*(0*c - c + 3*c)*(3 - 3 + 1).\nAnswer: -772*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11461 divided by -2?\nAnswer: -11461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**4\/12 + x**3\/2 - x**2. Suppose 0 = w - 0*w + 4. What are the prime factors of l(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -19. Let v(u) = u**2 + 2*u + 3. Let c be v(-3). Solve 5*y - 4*k = -c, 3*y - k = -r - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22911 is divided by 1349?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-103*i + 159*i + 112*i)*(-2 - 2*i + 2) to k + m*i + c*i**2 and give c.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (26\/39)\/(2\/269601) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.11 - 0.81. Let n = -23.8 - -24. Which is the smallest value? (a) f (b) -1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269 < 2247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*l - 22*b + 20*b, l - b = -8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.54 + 5.545. Let k = 1 + 0. Let h = k - x. What is h rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1063 or -1825\/4?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 1, -3\/7, -4\/5, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10478117 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 39*u - 5. Let w(h) = h**2 - 59*h + 7. Let d(j) = 7*i(j) + 5*w(j). What is the second derivative of d(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 40196218?\nAnswer: 482354616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(192) - (sqrt(192) - (sqrt(192) - -2*sqrt(192))) - sqrt(192)))\/(sqrt(196) + (sqrt(196) - 1*sqrt(196))).\nAnswer: -40*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/470 and 44\/29720685.\nAnswer: 59441370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*i**2 + 6*i**2 + 2*i**2)*((4*i + 0*i - 2*i)*(4 + 0 - 3) + 0 - i + 0 + 2*i + i - i + 3 - 2*i - 3 + 25 - 194*i + 102*i + 98*i).\nAnswer: 126*i**3 + 450*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*m + 4401 = 107*m for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvszfvfzsizsvssvvisf. What is prob of picking 1 s, 1 v, 1 z, and 1 i?\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.41 - 83.59. Let s = u - -81. What is the closest to -2 in s, 2, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11648 + -11646. Which is the closest to -2\/3? (a) 29 (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (3 - 6) + (-35 - (9 - (6 + -12)))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5232632 (base 7) to base 6\nAnswer: 21300545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyrry. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 9*v**2 + 5*v - 32. Let z be k(9). Solve t = 4*y - 0*y - 13, 0 = 3*t + y + z for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/420826084 and -63\/60118012.\nAnswer: 420826084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5859a8 (base 14) to base 5\nAnswer: -1232341310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -11476.\nAnswer: 11475.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -73. Suppose -12559862 - 15040132 = -4*z + w*a, -2*a - 6899996 = -z. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = 7*v. Suppose -5*n + 3*t = 26, -n + t - 2 = 4. Sort -5, n, v.\nAnswer: -5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/169140 and -13\/77085.\nAnswer: 869210460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 737 + -1757. Let f = k + 1714. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f - 5. Let c(n) be the third derivative of n**3\/6 + 26*n**2. What is -6*c(x) - k(x)?\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6653 - 6661 = -6*u. What are the prime factors of u?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 6*t - 2. Let f be c(-4). Suppose -f*m + 2265 = -2313. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 2, y: 7, b: 1, g: 4, t: 2}. What is prob of sequence yytj?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + 4*v - 5*v + (v - 3*v + v)*(-3 - 3 + 4) + 3*v + 2*v - 6*v + 5*v - v - v + 2*v + 0 + 0 + 0*v - 3*v + 7*v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (6 - -4) - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -3*y**3\/2 + 2*y**2 - 6*y. Let c be p(-4). Solve -6*l - 5 = 5*b - l, -4*b - c = -5*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggccgmcmccm. What is prob of sequence mg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1302 divide 19121172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -j - 3. Suppose 4 = -5*u + 3*u. Calculate the lowest common multiple of -3*((-2)\/(-3) + u) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, e: 1, o: 2, p: 2, z: 1, c: 1}. What is prob of sequence tzpo?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41*w**2 + 126.\nAnswer: 82*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 2)*((-2 + 1 + 2)*(-4*g + 2*g + 0*g) + 17*g - 30*g - 22*g).\nAnswer: 185*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 20 - (-1 + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away 0.0507?\nAnswer: 1.1493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (-4 + -1 + sqrt(19))**2 - (-3 + (sqrt(76)\/sqrt(4))**2).\nAnswer: -9*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/27 of a day?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 18\/(-35)*(-378)\/81.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 3, l: 1, f: 3, v: 1, z: 2}. Give prob of sequence hhm.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25236092*m**2 + 565*m + 7868?\nAnswer: 50472184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*w - 39*w + 51. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148114 and 5.\nAnswer: 740570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 501718197 >= -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3986936?\nAnswer: 2, 498367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6757 from -2.12.\nAnswer: -6759.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from ekeyeneakyeey.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20\/389 - 918\/2723. Let h be 230\/18 - (-8)\/36. Suppose 5*n = 2*d + 22, 2*d + d = -4*n + h. Which is the nearest to -1? (a) -5 (b) n (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088\/(-102)*1*9\/(4\/(8\/2)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.2. Let t = 49919 + -49921. Let l = 14.9 + -15. Put l, -1, s, t in decreasing order.\nAnswer: s, l, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 832286, 832291, 832296, 832301, 832306?\n\"Answer: 5*p + 832281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -626*u**3 + 632*u**3 + u**2 - u**2.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7494 divided by 35.\nAnswer: 7494\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 104890926.\nAnswer: 314672778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*t - 16, 5*r = r - 4*t. Suppose -r*k + 3*m - 6*m = 0, -5*m - 2 = 3*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 87 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088)*-2 - sqrt(1088))*-2*4 + -2*sqrt(1088)*4 + 1 + 4 + -4)**2.\nAnswer: 1792*sqrt(17) + 13647873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 1356830\nAnswer: 12\/678415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 7*y**2 + 14*y - 41. Give v(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/7 + 66681*v\/7 + 66684\/7.\nAnswer: -3*(v - 22228)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28562 and 2?\nAnswer: 28562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1*(3 - 2)). Let p be k\/18 - 174\/(-54). Solve -d - 2*r = -6, p*d - 8 + 4 = r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*16\/((-368)\/(-23)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 135. Let k = 332 + a. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4811.5555 - 4820. What is f rounded to 1 dp?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h - 23. Calculate q(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88173 + 30318 = 3*j - 4785. What are the prime factors of j?\nAnswer: 2, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/7)\/((-39)\/(-3)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/45*5\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 7*a**3\/3 - 580*a. Let q(t) = -2*t + 56. What is q(r(v))?\nAnswer: -28*v + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (6 + 5 - 6) - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 847 and 77693.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)*-2 + sqrt(200) + sqrt(200))\/sqrt(10))\/((sqrt(120)\/sqrt(3))\/sqrt(10)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 11) to base 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + j = -24. Let b be (-183)\/(-27) - j\/18. Let k be (-2)\/(3*(-2)\/9). Solve -k*g + b = 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109429102?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 15799\/5 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469*k = 413*k - 835*k - 846 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 5*x**2 - 2*x - 6. Let a(w) = -15*w**2 + 6*w + 21. Let n(c) = 2*a(c) + 7*v(c). Let p(o) = 2*o. Determine n(p(t)).\nAnswer: 20*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + (6 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847392 (base 10) in base 7?\nAnswer: -33126302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3519, -3516, -3513, -3510, -3507?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4 - 232*j**3 + 6*j**2 + 700*j + 464 = 0.\nAnswer: -116, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5249 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let t = 7 + -4. What is the tens digit of q*t\/9 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 223442 (base 9) to base 3\nAnswer: 20210111102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -1\/36828?\nAnswer: -1\/36828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6127403263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 5. Let j(b) = b - 6. Let s(t) = 5*j(t) - 6*u(t). Let m(f) be the third derivative of f**4\/12 + 6*f**2. Calculate s(m(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/16)\/(60\/192)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227040 is divided by 9450?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**7\/14 + l**6\/2 + 2*l + 130. Factor z(g).\nAnswer: 3*g**4*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 159994 = 16*m - 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16596203 - 3293797. Round z to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017797305 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: Calculate prob of picking 1 r and 2 q when three letters picked without replacement from {c: 2, f: 8, q: 3, r: 1, g: 5}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a9 (base 16) to base 5.\nAnswer: -32332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**4\/12 + i**3\/6 - 3*i. Let f be k(0). Solve f = -y - 2, -3*y = -4*g - 0 + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 55*m**2 - m - 2. Let f be b(-1). Let y = f + -49. Let i(u) = 5398*u + 10. Let z be i(y). What is z rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/10 - 40\/50)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1762074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 4 - 19 = -5*q, -q = 3*x - 3. Let h(v) = v**3 - 3*v**2 - 2*v + 1. Give h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024268 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = -2*k, 0 = -4*k - 12 - 4. What is the tens digit of 834\/6 - (0 - p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1442.96115 and 2530.\nAnswer: 3972.96115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-4 + 7 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -840*c. Let v(f) be the second derivative of f**4\/4 + f + 421. Calculate v(b(n)).\nAnswer: 2116800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 11. Let c(q) = -108*q + 327. Let d be c(3). Solve -d = -3*w - 3*i + 3, -2*w = -m*i - 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqyq when four letters picked without replacement from yqqqqqy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 10:14 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8274*v + 794 = -8347*v - 1177 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/(-26) - 1\/2. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -6. Suppose -2*a + 401 - 127 = 3*w, 727 = v*a - 3*w. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 5*q**2 - q + 8. What is l(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6*s + 8 = 0. Let u = -0.24 + -1.76. Sort s, -4\/7, u in descending order.\nAnswer: s, -4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35 + -27. Suppose -q - 3*s + 22 = 0, -n*s = -5*q - 3*s + 10. Which is smaller: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - 74\/(-6). Let g = f - -12. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.035 + -0.335. Which is the nearest to -0.2? (a) k (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/6)\/(8\/12). Solve -d*b = -3*a - 1, -6 - 5 = 4*b + a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 - 22*c**2 - 34*c + 22. Let h be w(-9). Suppose -h*a + 4*l + 0*l + 2052 = 0, 5*a + 2*l - 2565 = 0. Is a a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 62 and 25978?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1195\/10 + 6\/(-4)*(-2)\/6. Calculate the greatest common factor of 1704 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(3040\/440)*-4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/115 - 26\/(-10). Let l(x) = x**3 - 2*x**2 + 3*x - 4. Give l(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 1. Let r be 2 + 3*(-2)\/6. Let s(p) be the third derivative of -5*p**4\/8 + 10*p**3\/3 + 1400*p**2 + p + 2. Calculate r*s(a) + 20*l(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 5*d + 7, 12*p - 14 = 15*p + 5*d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 55. Let c = m - 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 133, -4, 3, 2 in descending order.\nAnswer: 133, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/13988308 and -5\/12?\nAnswer: 41964924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h - 3. Suppose 3 = -f + m, -2*m = 2*f - 15 + 1. Does 22 divide s(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (291 - 339 - 169 - 2614 - 646 - 209)*(0*x - 2*x + 0*x) to l + j*x and give j.\nAnswer: 7372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2 - s + 228. Let g be t(0). Suppose g = 4*w + 2*w. Suppose -3*h + 89 - w = 0. Is -0.1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1183344621 rounded to the nearest one million?\nAnswer: 1183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 625 (b) -87 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j**3 + 11*j**2 - 424*j - 5. Let c(f) = -10*f**3 + 10*f**2 - 423*f - 4. What is 5*c(x) - 4*v(x)?\nAnswer: -2*x**3 + 6*x**2 - 419*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2480\nAnswer: 7\/2480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -22\/27867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -92 (b) 92 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2038.9 - -2039. What is the fourth biggest value in -27, y, 5, 2\/27, 0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 5*w**2 + w + 2. Let h be x(5). Suppose h = 5*a - 13. Suppose 45 = 5*m - 4*s, -3*m - 2*s = s. Solve 0*b + a*p + 45 = m*b, -p = 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**7)\/(x**(-5)*x)*(x*x**2\/x*x*x)\/(x*x*x*x**(-5)*x))**46 assuming x is positive.\nAnswer: x**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -19 - (-11 - (14 - 28))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201\/2 - 101. Suppose h = 5*b - 4, -2*b - 8 = -4*h - 24. What is the closest to 1 in h, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6133.76 rounded to the nearest 10?\nAnswer: -6130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/27)*a**(-16))\/(a\/(a\/(a*a\/(a*a**(-2\/11)*a))*a))**28 assuming a is positive.\nAnswer: a**(2327\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 321\/15 + (-2)\/5. Suppose 122 = 15*u + 77. Calculate the greatest common divisor of u and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -10*c**6\/3 + 8*c**5\/5 + 15*c**4 - 64*c**3\/3 + 8*c**2 + 166. Let f(q) = 0. Calculate q.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.222*0.32\nAnswer: -0.39104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 237137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3415960 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m*u**2*v**3 + 635*m*u**2*v**2 - 6*m*u**2 + 34427*m*u*v**3 wrt u.\nAnswer: -2*m*v**3 + 1270*m*v**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2122*u + 265234. Give r(125).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 4. Let p(j) = 2*j - 8. Let b(z) = -2*p(z) + 5*r(z). Let c be b(5). Do c and 3\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + g**4\/24 - g**3\/3 + 3*g**2 + 18. Determine t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -190*p**2. Let f(v) = -30*v + 18. Let l(a) = -24*a + 15. Let h(w) = 5*f(w) - 6*l(w). Give h(s(n)).\nAnswer: 1140*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1066732.\nAnswer: -1\/533366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b**5\/4 - 2315*b**4\/4 - 9259645*b**3 - 31477840*b**2 - 29624880*b - 7406100 = 0. Calculate b.\nAnswer: -1170, -2, -1, -2\/5, 1266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2200033 - 3010?\nAnswer: -2203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(126)\/sqrt(3) + sqrt(252)\/sqrt(6)*6)\/((sqrt(600) + (sqrt(600) + -1*sqrt(600) + sqrt(600))*4 - sqrt(600))*1).\nAnswer: 7*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: -1079*186\nAnswer: -200694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -3 + (13 - 5) + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13482 - 13124. Which is smaller: p or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 - 58 + g - 75.\nAnswer: g - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 3)\/(6\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2, 2, 2\/159, 5, 16, -1?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 - -27. Let a = u - -81. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232234790.\nAnswer: 2, 5, 17, 1366087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1374 - -6206?\nAnswer: 4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*u + 4)*(2*u**4 + 5*u - 5*u)*(959 - 479 - 497)*(0 + 4 - 3).\nAnswer: -136*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**12\/g**(2\/3))\/(g**(-2)\/g*g\/((g\/(g*g*g\/(g\/((g\/(g**11\/g))\/g))*g)*g)\/g)) assuming g is positive.\nAnswer: g**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -525, -518, -511, -504?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/188 and -137\/72.\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9594 - -1.0394. What is the closest to r in -4, -3, -24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.376 - 6.176. Which is the closest to d? (a) -0.5 (b) 0.01 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a - -2?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.1 (b) -73 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 48, 106, 192, 306?\n\"Answer: 14*k**2 - 12*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4548.\nAnswer: 1\/2274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**3 - k**3 + 4*k**3)*(0*k - 2*k + 0*k) + 11 - 6*k**4 - 11 + 2*k**4 + 0*k**4 - 3*k**4 as j*k**4 + u*k + c*k**3 + l*k**2 + a and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -5*x**4\/48 + 85*x**3\/24 - 75*x**2\/2 + 101*x - 6. Factor o(k).\nAnswer: -5*(k - 12)*(k - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -506642 rounded to the nearest 1000?\nAnswer: -507000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 9*y - 33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.93583*2.\nAnswer: -1.87166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/21 and -113\/37548?\nAnswer: 37548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10455541\/499 - 20953. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 - -71. Sort 105, 4, a in ascending order.\nAnswer: a, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 + -155\/2. Let r be ((-12)\/(-32))\/((-9)\/4). Which is the closest to -2\/3? (a) r (b) o (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*30\/1380?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r + 2. What is f(-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/5 - 70325734*f**2\/5 - 281302948*f\/5 - 281302952\/5 = 0. What is f?\nAnswer: -2, 70325738","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 1, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-22))\/1 - 2280\/627. Let g = 0 + -5. Sort 4, 1\/2, m, g in decreasing order.\nAnswer: 4, 1\/2, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8287793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(26)*1)\/(sqrt(8)\/(sqrt(28)\/sqrt(7))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**6 + 8*q**5 + 8*q**4 - 4*q**2. Let z(t) = -t**6 - t**5 - t**4 + t**2. Let y(x) = 3*v(x) + 24*z(x). Find the third derivative of y(f) wrt f.\nAnswer: -2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 3*t + t**2 + 398 + 3*t - 4*t.\nAnswer: t**2 + 2*t + 398","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:06 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:51 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 8*n - 3*n - 14 - n - 5*n. Let p be v(-8). What are the prime factors of (p\/(-5))\/((-28)\/(-770))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 g when two letters picked without replacement from doawagaaooao.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61237 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*n + 6, 0 = 3*r + 3*n + 2*n - 7. Let j(d) = 12*d**2 - 17*d - 16. Let s(m) = m**2 - m. Let o(b) = r*j(b) - 44*s(b). Solve o(k) = 0 for k.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**3 + 2*j**2 - 27. Let c(m) = 7*m**3 - 5*m**2 + 53. What is 2*c(d) + 5*t(d)?\nAnswer: -d**3 - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 7420 = -3*c, 3*l + 9773 = 4*c - 113. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 7*s - 3. Let f be 7\/2*-2 + 2 + -1. Calculate o(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 692720?\nAnswer: 2, 5, 7, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (95\/(-190))\/(2\/(-56)). Let m = 9 - 5. Suppose 0*z - 5*a - 47 = -2*z, -3*a = -m*z + 87. Calculate the greatest common divisor of q and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 + (1060\/(-90) - 0) + 4\/9. What is the third smallest value in -8, 0.5, q, 0.2, 1\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 17 - 4)*(-9 - 1 + 1)*(2*c - c - 2*c).\nAnswer: 207*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2890 - -2889. Let x = 55931\/70 + -799. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*v - 14*l - 1136*v wrt l.\nAnswer: 4*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a6409 - -4?\nAnswer: 3a6411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((6\/4)\/1). Let g = -160 + 159. Sort 1, t, g in descending order.\nAnswer: 1, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*j + 5*b, 214*b = 5*j + 212*b + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9953 to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/(3\/21*-8).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 1 + -5)**2 + (-2*sqrt(605)*-1)**2.\nAnswer: -88*sqrt(5) + 3041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + (-1*sqrt(1300))**2 + -5*(1*sqrt(1300))**2.\nAnswer: -5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -31 - (14 + -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v - 5. Let j(m) = 4*m - 2. Let l(b) = -3*h(b) + 5*j(b). Let n be l(2). Solve 0 = n*k - 0*k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-2)\/(-4)). What is the remainder when 29 is divided by (15\/(-4))\/(b\/4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6312 and 73222356.\nAnswer: 3156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1570)\/(-50) - (-4)\/(-10). Let x = c + -94. What is the units digit of (-1)\/2 - x\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1872) - sqrt(1872)*-2*5)**2.\nAnswer: -679536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 27797*s. Let j(h) = -2*h**2. Give j(l(g)).\nAnswer: -1545346418*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 + 14792050*w\/3 + 14792047.\nAnswer: (w + 3)*(w + 14792047)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n - 2*n + 432*n**3.\nAnswer: 432*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14117\/(-209) + -22 - -89?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 5) to base 14\nAnswer: -329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, 1454279 in decreasing order.\nAnswer: 1454279, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*p - 2)*(2*p - 2*p - 4 - p**4).\nAnswer: -2*p**5 - 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z*z*z\/(z\/z**(-2)))))\/z**(-5)*((((z\/(z\/(z*z*z**(-1\/3)*z)))\/z)\/z)\/z)\/(z\/((z\/z**(-1\/6))\/z)))**(-48) assuming z is positive.\nAnswer: z**(-136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 21 + 7. Suppose -9 = -6*d + 9. Suppose 2*y + 3 = z, d*z + 3*y + y = 9. What is the smallest common multiple of q and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27428, 54967, 82508, 110045, 137572, 165083, 192572, 220033?\n\"Answer: -j**3 + 7*j**2 + 27525*j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8.1 (b) 2.6 (c) -29 (d) 0.1 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**3\/33 + v**2\/22 + 12*v\/11 + 651. Suppose x(i) = 0. What is i?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(5431\/847236).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-14)\/(28\/(-2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4990798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0*k - k)*((1 + 2 - 2)*(0 + 0 - k) + (2 - 1 + 1)*(0 - 2*k + 0) - k + 7 - 7 + 2*k - 5*k + 2*k).\nAnswer: 21*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -200*f + 117*f - 1494 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(1300) - (sqrt(1300) + 1)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3 - 0. Let b be 6\/1 + (1 - s). Suppose b = l + 3*l + 3*i, 0 = i + 2. Solve c = -4*z + 4, -c = l*z + 2*z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15645928 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 110\/7 + 6\/21. Let m = c + -13. Does 13 divide 27 - (1 + 2) - m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1369 (b) -0.6 (c) -3\/8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*r**2 + 2 - 5*r - 10 + 7 + 1.\nAnswer: 131*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 12*c**2 + 3 + 15*c**2 to the form r*c**2 + m*c + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -140.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1579 + -785. Suppose -4*i + z = 4*n - i, -5*n + 994 = 3*i. What is n rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/58, -0.2, 31, -43\/3?\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k**2 + 14. Let q(r) = 1. Determine 4*a(g) - 56*q(g).\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33011.\nAnswer: 11, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 242*y - 241*y + 5*w, -4*y + 16 = -2*w. Solve -4 = 4*j - k + 1, y*j = 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 15*u + 32. Let a be h(13). Suppose 9*v - 153 = a*v. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543905 divided by 5?\nAnswer: 108781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 540 and 5400?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/42)\/(12\/(-28)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (0 + -3 + (2 - 3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - 72\/(-2400)*-10*-20?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 91*p**5\/30 - p**4\/12 + 35*p**3\/3 - 125*p**2. Find the second derivative of n(w) wrt w.\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0025326123553 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -1825. Is l a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -172. What is the highest common divisor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-9))\/((-68)\/(-51))*(-44)\/(-30).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30009)\/546 - -59)*-2*1 + 9.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5463699390?\nAnswer: 2, 3, 5, 60707771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 + 184*a**2 - 59*a + 273. Is 28 a factor of p(-91)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (771\/4)\/(2 - -1). Let c = -64 + x. What is the nearest to -2\/7 in -2\/5, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 4\/((-2)\/1). Let c(w) = 2*w**2 + 4*w + 1. Let z(y) be the third derivative of y**5\/60 + y**4\/24 + y**3\/6 + 22*y**2. Give v*z(g) - c(g).\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5057632049 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*g + 4*s + 20, -8 = g - 4*s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 64986?\nAnswer: 519888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 1\/42*b**5 + 0*b - b**3 + 25\/84*b**4 + 6 + 1\/1260*b**6 + 0*b**2. Let l(z) be the third derivative of s(z). Factor l(j).\nAnswer: 2*(j + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(225)*-1*4 + sqrt(225) - -5*(sqrt(225) + 2*sqrt(225)))\/(1*sqrt(192)*-6*-1).\nAnswer: 25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56 - 11*q**2 + 56 + 3*q**2 - 2*q**2 + 0*q**2 + (0 - 3 + 5)*(-3*q**2 + 0*q**2 + 5*q**2))*(1 - 2 + 0)*(-3*q + q + 0*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**3 - 7*t**2 + 11*t - 8. Let x(l) = -14*l**3 + 21*l**2 - 32*l + 23. Let v(n) = -11*u(n) - 4*x(n). What is v(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255126000 rounded to the nearest 1000000?\nAnswer: 1255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303519345 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**3 - 9*t**2 + t + 5. Let q = 11 + -5. Is v(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966965851 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: Let v = -13.1133 + 10.1133. Let u(y) = -7*y**2 - y + 1. Suppose -6*l = -l - 5. Let f be u(l). Sort f, v, 2\/7 in decreasing order.\nAnswer: 2\/7, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3*9\/5. Let r = -8 + k. Let v(h) = 2*h**2 - h - 1. Let d be v(1). Is r less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 2*j**2 + 8*j + 41. Let v be 13\/(52\/(-24)) - 0. Give a(v).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3846*d**3 - 3*d**2 + 13819.\nAnswer: -11538*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(4\/15)*o)\/o*o*o\/(o*o*o*o**(-14))*(o**(1\/11))**(-26\/5) assuming o is positive.\nAnswer: o**(2441\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6, -21*z + 22*z - 227 = -r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 20005\/19951?\nAnswer: 20005\/19951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 756719 - -3\nAnswer: 756722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.82 rounded to one decimal place?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 4*w**2 - 6*w**2 + 67864*w**3 - 67862*w**3 + 2*w - 6*w**4 to j + b*w**2 + r*w**3 + v*w + p*w**4 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 5. Let h(o) = -6 + 0 - o + 4 + 1. Determine -5*h(t) - r(t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 96 = 33. What are the prime factors of 12*1*x\/21 - -139?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 134000*4\/(-4)*-30. What is u rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 228. Let c = v + -201. Solve -4*f = -c*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*f + 10 = 0. Let z(k) = -2*k**2 + k**f + k**2 - 3*k**2. Let d(a) be the third derivative of a**4\/12 - a**2. Give z(d(y)).\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -28, 1.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = -3*c, -4*c + 0*c = 3*k + 21. Let g be (2\/(-4))\/((-2)\/(-20)). Sort -4, g, k in ascending order.\nAnswer: g, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14670228 and 1932?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 20. Let d(s) = 27*s - 71. What is -2*d(l) + 6*u(l)?\nAnswer: -60*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 102504378.5 to the nearest ten thousand.\nAnswer: 102500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5237841?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: d4c638 (base 14) to base 12\nAnswer: 24a29a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 20693 (c) 3 (d) 4 (e) -0.17 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/13 (b) 0 (c) -8 (d) 7 (e) -6\/13 (f) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/44*11\/6. Solve 2\/3 + 4*y**2 - 8\/3*y**3 + q*y**4 - 8\/3*y = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/88 - 4\/16.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -77, 3, 0, 4 in decreasing order.\nAnswer: 4, 3, 0, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-1638)\/(-20))\/63 - 5\/((-100)\/(-36))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409 + 411.15. Which is the third smallest value? (a) -1\/8 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2992*y - 12956 - 39054 - 85622 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*z - 254, -4*q - 2*z - 246 = 18. Let r = q - -152. Suppose 2*h + h - r = 0. Solve -2*l + 0*j = 5*j - h, 0 = -4*l - 5*j + 33 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 8*m - 15. Calculate p(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 44. Suppose -z - 2*k + 38 = 3*z, 4*z = -4*k + 40. Let c be q(z). Let n be 7\/14*(3 + c)*3. Solve u - n = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/sqrt(3) + 2 - 1*sqrt(1377)) + (5*(sqrt(187) + (sqrt(187) - sqrt(187)*-2)))\/sqrt(11).\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 24*p + 4. Let x be 4*26\/(-4) - p. Let d be (-6)\/(-15) - (-2 + 15\/x). Let h(z) = -z**3 + z**2 + 4*z. Calculate h(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -349*b - 11701495 = 20759951 + 2788950. What is b rounded to the nearest one thousand?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/45 + (2\/6)\/((-90)\/648).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -4*x - 30 - 54, 0 = -x - 3*n - 11. Let i = 29 + x. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.9303202 rounded to one dp?\nAnswer: -26.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2186268 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + p + p)*(-2*p - p + p) + 2*p**2 + 0*p**2 - 4*p**2 + 4*p - 4*p - p**2 + 22*p**2 + 2*p**2 - 13*p**2 + (-3 + 2 + 3)*(-3*p**2 + 4*p**2 - 2*p**2).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-777)\/(-78) + 495\/(-90). Let h = -133\/537 - -195220\/48867. Let m = h - f. Calculate the common denominator of m and 77\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175400080 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + j = -4, 0 = -18*b + j - 368 + 388 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 73. Suppose s*t - 12167 = -5*h + 4*h, 0 = 3*t + 3*h - 18246. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/6)\/((-21)\/(-196)) - (8 + -9). What is the closest to w in -1\/3, 5, 3, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-72)\/3)*(-4)\/(-8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 - 3.8. What is the biggest value in x, 2, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 5:06 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**6\/120 + 971*m**5\/60 - 609*m**4\/8 + 2739*m**2. Find the second derivative of y(s) wrt s.\nAnswer: -6*s + 1942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -8 - ((-5)\/(-5) - 81) is divided by 56.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + (-4)\/(-6). Suppose -1 = l - u. Is l less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -68*w - 1117. What is j(-14)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 + 74*m**4 + 9*m**3 + m**2 + 2255 wrt m.\nAnswer: 120*m**2 + 1776*m + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/3 + -8)\/(6\/174). Solve -w*d - 12 = -23*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 59 = -13. Let x = -60 - -64. Sort h, x, 8.\nAnswer: h, x, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4147 (base 13) to base 3\nAnswer: -110100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1 - 2*z**2 - 21*z - 1 - 3 + 16*z. Let l(r) = -r**2 - 4*r - 4. Let s(a) = -5*l(a) + 4*o(a). Let v(i) = 4*i**2. Determine s(v(t)).\nAnswer: -48*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**4\/24 + 7*h**3\/3 + h**2. Let f(q) = -q**3 + 2*q**2 - 2*q + 7. Let y be f(0). Is 7 a factor of z(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 3) to base 2.\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1514 + 288 = -2*t - 4*l, -5*l - 641 = -t. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8255 or 8267?\nAnswer: 8255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -568, -566?\nAnswer: -564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*((-4*sqrt(252) + sqrt(252) + -2)*-2 + 2).\nAnswer: -144*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16791420.6 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -3, -0.4, -7.\nAnswer: -7, -3, -0.4, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.484 times 26?\nAnswer: -38.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 16) in base 10?\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -9. Let x = -4.003 + 0.003. Which is the nearest to 0? (a) x (b) t (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/4 + -4 + 5. Let n = 83 + -88. Let z = 1 + n. Which is the fourth smallest value? (a) p (b) 12 (c) z (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-90)\/(-48)*-4*(-2)\/(-12). Let m = 0.02 - -0.08. Which is bigger: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7*5\/(70\/10632).\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 71 = -2*a, -8*a + 5*d + 185 = -3*a. Suppose -3*u = -a + 143. Let p be ((-51)\/(-2))\/((-12)\/16). Is u less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 2, 0.01, 23.4, 1\/8, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4749 (base 13) to base 11.\nAnswer: -75a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*j - 2 - 17*j + 64*j - 43*j to the form m*j + d and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-3)\/9)*20\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of t**4\/24 - 17*t**2. Let m(a) = -10*a + 4. Determine m(h(s)).\nAnswer: -10*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 722, 1446, 2172, 2900, 3630, 4362?\nAnswer: 5096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 248731.08845 + -249012.08844606. Let f = -281 - v. What is f rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*l - 26 = 0, 9*c = 5*c + 2*l + 54. Solve 3*o + 3*g - c = g, 2*o = 2*g + 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 0) + 19 + -13 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 5. Let i be a(-3). Suppose i*z + 3 + 3 = 0. Let d = -0.01 + -0.29. Sort z, d, 1\/6 in increasing order.\nAnswer: z, d, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.36 + 0.26. Let q = b - -0.2. What is the closest to q in 0.5, 4\/3, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2408383827 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + 0.7. Let w be 6 + (2 - 1) + -2. Suppose -6*t = -t + w*m + 5, 3 = -3*t + 4*m. Which is the closest to -1? (a) t (b) -2\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p + 2*p - p**2 + 0*p**2 + 4*p - 4. Let k be a(7). Suppose -3*w + h - 4 = 0, 10 + 0 = -2*w - k*h. Is w equal to -5\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 2. Let x(p) = -1269*p + 648*p + 627*p - 3. Let v(c) = -c. Let a(d) = -13*d + 4. Let f(o) = a(o) - 6*v(o). Give k*x(m) + 5*f(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**4 - 2*y**4 - 3*y**4)*(0*y + 0*y - 2*y) + ((1 + 1 + 0)*(2 + 0 - 3) - 11 + 4 + 0 - 4 + 1 + 26)*(y**5 - 4*y**5 + 2*y**5).\nAnswer: -16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}